diff --git "a/data/dm_maths/full_data/2863_11255.jsonl" "b/data/dm_maths/full_data/2863_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2863_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 105 a factor of 6840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-3))\/((-6)\/(-4)). Let g = -12 - -12.4. Let p = g - 2.4. Which is the biggest value? (a) p (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10*t*t*t)**24*(t*t**(-4\/15))**42 assuming t is positive.\nAnswer: t**(1714\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 8\/(-3) + (-5664)\/(-2124)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875\/4 - 325\/4*p + 1\/4*p**3 + 25\/4*p**2 = 0 for p.\nAnswer: -35, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*q - 72 + 114, 236 = -3*q + 5*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+1802103487\nAnswer: 1802103487.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12235699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6297*k**3 + 5572*k**3 - 1477*k**3 + 1269*k**2 - 1269*k**2.\nAnswer: 10392*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/50614 and 115\/18.\nAnswer: 455526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 3}. Give prob of picking 1 j and 1 u.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-336)\/(-36))\/((-10)\/(-300)*4)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 96?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -346 + -85. Let i = f - -173. What are the prime factors of 2\/(-7) + i\/(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -8 in ascending order.\nAnswer: -8, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:52 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:11 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(4\/5)\/h*h*h)*h)\/h*h*(((h*h\/h**(1\/7))\/h)\/h)\/h*h**(-3)\/(h\/(h**(6\/7)\/h)) assuming h is positive.\nAnswer: h**(-143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p**2 + 17*p + 49. Let t be q(-6). Which is bigger: t or -378?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.17343kg in milligrams?\nAnswer: 5173430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3. Let m = -2 - 0. Let f = m - -2.2. Which is the nearest to x? (a) f (b) -3\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 11 in increasing order.\nAnswer: -15, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2905 + 2906. What is the highest common factor of m and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -49. Suppose -4*f - a + 8 = -3, 0 = -3*a + 9. Suppose -f*u + 6*u - 216 = 0. What is the greatest common divisor of c and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1809*r**2. Let o(q) = -q. What is m(o(f))?\nAnswer: -1809*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/16*-59*4.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**3 - 278*c**2 - 68*c - 76. Let u be q(35). Let w be (-4)\/3 + 1\/3. Put u, w, -2 in ascending order.\nAnswer: u, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20))\/((-108)\/120)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - -1 - (-7)\/(28\/1016). Let h = a - -389. What is the greatest common factor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -12391992?\nAnswer: -12391990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))**(7\/8)*w\/w**(-6)*w**(-1\/2)*w)\/(w**(-6\/11)*w*(w*w\/(w**(5\/2)\/w))\/w*w*w*(w**(-2)\/w)\/w**(-1\/3)) assuming w is positive.\nAnswer: w**(1315\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/3 - 2*r**2 - 3*r. Let s be n(-4). Solve 0 = s*b + 5*k - 29, 0 = -k + 4*k - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1 - (6 + -11). Let h(w) be the second derivative of -2\/5*w**6 - 33\/20*w**5 + 0 + 3\/2*w**2 - 9\/4*w**4 + w - 1\/2*w**r. Factor h(t).\nAnswer: -3*(t + 1)**3*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626b3 (base 13) to base 15.\nAnswer: 3764a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -k + 10, 4*t = k - 5*k - 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let k(a) be the first derivative of a**3\/3 - a - 8. Give k(j) + y(j).\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1053?\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (558\/(-30))\/(453\/755).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - f - 23. Let q be -2 - 10*(-36)\/90. Let y(g) = g**2 + 1. Calculate q*y(o) - l(o).\nAnswer: -o**2 + o + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 25\/2. Let i = 12 - 10.4. Let q = i - 5.6. Which is the closest to u? (a) q (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:44 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12122202 (base 3) to base 10.\nAnswer: -4124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13059 is divided by 6401.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -439*n + 1913 + 218*n + 219*n to the form b*n + i and give i.\nAnswer: 1913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2301843132 by -6.\nAnswer: -383640522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 942451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1672465662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 13*y - 88 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 - 153*q**5\/10 + 70227*q**4\/8 - 2*q**2 + 1167. Factor i(o).\nAnswer: o*(o - 459)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97.25 or -22708?\nAnswer: -22708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1103*a + 7733. Determine n(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 67 (b) -5 (c) 2.7 (d) -0.4 (e) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5021\/8*s + 1255\/4 - 1\/8*s**3 + 314*s**2.\nAnswer: -(s - 2510)*(s - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 y, and 1 b when four letters picked without replacement from byxbxyxxbxybyyxx?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50047963.9999987 - 50047939. Let j = b - 25. Round j to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 100 = 14*h. Suppose -4*l - 6 = m, 2*m + 2*l = -2*l - 4. Solve m*q = -2*q, -5*k - h = -3*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r*r\/(r\/(r*r**(-2\/5)*r*r*r*r))*r)*r)*r)\/r)\/((r\/((r*r**(2\/15)\/r)\/r)*r)\/r))\/(r**(-1))**(-1\/8) assuming r is positive.\nAnswer: r**(433\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001718 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.342 - -0.058. Let u = -21407878 + 21407880.4000059. Let d = u - k. Round d to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2225, 2228, 2233, 2240, 2249, 2260, 2273?\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 322*z + 3157. Let w(l) = -4*l**2. What is c(w(m))?\nAnswer: -1288*m**2 + 3157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by 1\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 204*x**3 - 2202*x. Let m(n) = n. What is j(m(k))?\nAnswer: 1224*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1377) + -2 + 4)*-5)**2)*-4.\nAnswer: -138120 - 3600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543.7 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wquuqke. Give prob of sequence eeqk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 253*f**3 - 21 - 150*f**3.\nAnswer: -403*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197392897 to the nearest integer?\nAnswer: 14050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 203. What is the highest common divisor of 52 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23869 + 23994. Which is smaller: u or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - f - 10 = 0, -5*k + 2*k - 4*f + 35 = 0. Suppose -7*d = -5*j - 5*d + 2896, -j + k*d + 593 = 0. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.19, 3, -3\/8, -54 in increasing order.\nAnswer: -54, -3\/8, 0, 0.19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 2. Let c(f) = -2*f**2 + 7*f + 19. Let x be c(6). Let j(u) = -6*u - 10. Determine x*y(m) - 2*j(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.886188 to zero dps.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 246520 - 12583.\nAnswer: 233937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(11)*2 + 1 + sqrt(55)\/(sqrt(500) + (sqrt(500)*2 - sqrt(500))).\nAnswer: -239*sqrt(11)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(242) + (1*sqrt(242) - sqrt(242))*6 + 0)**2 + ((sqrt(242) + -6*(sqrt(242) + -4))**2 - -6*(sqrt(242) - (sqrt(242) + 0)**2)).\nAnswer: -2508*sqrt(2) + 5425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -13 (b) -0.041 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g + 16. Let j(u) = -2*u. Let o be j(-2). Let k be q(o). Suppose -4*w - 4*m = -2*w - k, 4*w + 3*m = 70. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - -3?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 737 and 6413.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*2*1*2 + -5 + -3.\nAnswer: -8 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (81\/147)\/((-29)\/(-18879)*31). Find f such that -36*f + 28 + a*f**2 = 0.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3314 divided by 6908?\nAnswer: 1657\/3454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2941 - -2940. Which is smaller: k or 11\/294?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 3*d + 165 = 0, -15 = -296*d + 291*d for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 10*f - 14. Let x be m(11). Let n be (0 - -1) + x + 4. Let s(u) = u**2 - u - 1. Calculate s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/7, 3\/2, -3\/5, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/14)\/(2\/(-7)). Suppose -7*p + o = -4*p. Sort 0, p, 2 in ascending order.\nAnswer: 0, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30868 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57891 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, i: 2, y: 5}. Give prob of picking 4 y.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5600 + -3233. List the prime factors of d.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -100. Is (r\/14)\/((-15)\/(-70)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112071 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5.9, -5, 2 in descending order.\nAnswer: 3, 2, -2, -5, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47013 or 47175?\nAnswer: 47013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((42\/(-2356))\/3). Let m = 336 - o. Let i be (1 - 0) + -5 + 0. What is the biggest value in i, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14274, 57111, 128506, 228459, 356970, 514039?\n\"Answer: 14279*q**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1111, -1114, -1097, -1054, -979, -866, -709, -502?\n\"Answer: u**3 + 4*u**2 - 22*u - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/3))**11\/(f**(7\/4)\/f**(2\/15))*(f\/f**(-1\/4))\/f**(-5)*f**(-5)\/(f*f**0) assuming f is positive.\nAnswer: f**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 304\/765 - 1644083\/1530. Let y = w + 1083. Find the common denominator of 83\/14 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by -4.\nAnswer: 103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -56. Let h(v) = 20 + 8*v + v**2 - 14 - 2 - 3*v. Let p be h(-3). Is w greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6933086 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -52*x - 2598. What is b(-44)?\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.09 (b) -1379 (c) 0.9 (d) 21 (e) 4 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 11:10 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124*b**2 + 268*b**2 - 132*b**2 + 90*b**5 wrt b?\nAnswer: 5400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 12*v - 6. Let d be q(-11). Let n(m) be the first derivative of 1\/24*m**6 + 0*m**2 + 1\/10*m**d - 1\/16*m**4 - 5 + 0*m - 1\/6*m**3. Factor n(s).\nAnswer: s**2*(s - 1)*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2250 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2 + 3*w - 3. What is o(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -428 times -640\nAnswer: 273920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (383 - 2*t**2 + 632205*t - 632205*t)*((-5 + 2 + 2)*(1 - 3 + 0) + 3 + 4 - 4 + 0 + 1 - 2).\nAnswer: -8*t**2 + 1532","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 144.1 - -11049854\nAnswer: 11049998.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*l**2 + 266*l**2 + l + 91*l**2 - l as q*l + y*l**2 + w and give y.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22\/9 + -34\/9. Which is the third smallest value? (a) -2 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20\/3 + -43\/6. Let j = 2661 + -10643\/4. Which is the nearest to 1\/4? (a) j (b) r (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-836)\/(-121) - (-1)\/11. Solve 11*r - 28 = -s*i + 14*r, 0 = -5*i - 4*r + 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90264122?\nAnswer: 2, 13, 3471697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 388, 775, 1162, 1549?\n\"Answer: 387*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26662 + -5572. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + -1)*(-1)\/(-2). Suppose -v*i + 1260 = -1895. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35743.5097 - -1.5097. Let o = -36074.19 - r. Let w = o - -329. What is w rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/240*-93 - 10\/25 and -113\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*c - 3*r = 717*c - 46, 42 = -5*c + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -440 + 425. Let q(l) = 5*l**2 - 2*l. Let z be q(2). Let x = b + z. Solve -g + 2*m + 4 = x, -m - 9 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 18)*9\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*g - 109 = 0, -2*g - 146 = -2*b - 32. Suppose -s = -0*s - b. Let h = 101 - s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 31, 70, 125?\n\"Answer: 8*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2641 + 2641 + 0*s - 16*s + s**3 to m + q*s**3 + z*s + d*s**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -93*c**3 - 5*c**2 - 5. Let m(v) = 465*v**3 + 24*v**2 + 24. Calculate -24*h(j) - 5*m(j).\nAnswer: -93*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/3 + 2811698*u**3\/3 - 1976411410801*u**2\/3 = 0?\nAnswer: 0, 1405849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 366*q + 144. Let r(g) = -72*g - 29. Give 2*j(a) + 11*r(a).\nAnswer: -60*a - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0124, -2\/9, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*r = -0*r - 12, -2*z - 21 = 5*r. Let f be 0 + z\/(-1) - 7. Calculate the lowest common multiple of ((-16)\/40)\/(f\/10) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15065251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665 less than -0.5?\nAnswer: 1664.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960 and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/24 + g**3\/2 - 3*g**2 + 12*g. Let r(t) = 2*t - 5. Determine -4*r(p) - 7*s(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -2. Let w(x) be the second derivative of 26*x**3\/3 - x. Let p be w(2). What is the highest common factor of r and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 5*c - 4. Let o be b(3). Let g = o + 5. Calculate the smallest common multiple of (1*-5)\/(g + 1) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 86. Is 8 a factor of y\/(-4)*((-6)\/9 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/2 + 2*h**2 + h. Let g(p) be the third derivative of -p**5\/60 - p**3\/6 + 2*p**2. Determine 4*g(q) + w(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088.3914619 rounded to one decimal place?\nAnswer: 1088.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, w: 4}. Give prob of sequence aw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mekclcccllmcm. What is prob of sequence kel?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -1\/30*p**5 + 0*p + 0 - 1\/6*p**3 + 1\/120*p**6 + 1\/24*p**4 + 125*p**2. Let d(h) = 3*h**2 - 1. Let q be d(1). What is g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -29*v - 468. Determine q(-27).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 836*q**2 + 8*q + 63. Let r(i) = 4179*i**2 + 38*i + 300. Let y(t) = -19*m(t) + 4*r(t). Let a(g) = 2*g. Determine a(y(v)).\nAnswer: 1664*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Let o be (0*1\/(-5))\/(-1). Find the third derivative of 2*s**2 + o - 3 - 4*s**6 + x wrt s.\nAnswer: -480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**3\/6 - d. Let g(k) = 8*k - 18 - k + 12. Let i(h) = 13*h - 11. Let s(c) = -11*g(c) + 6*i(c). Determine s(m(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0468116 rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -5*((-6)\/5 - -1). Find the third derivative of 3*f**2 - 11*f**2 + 6*f**o - 2*f**4 - f**2 wrt f.\nAnswer: -48*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**7\/21 + 2*d**6\/45 - 11*d**5\/15 - 16*d**4\/9 - 5*d**3\/9 + 2*d**2 + 12*d - 3. Suppose i(c) = 0. Calculate c.\nAnswer: -2, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwaa when four letters picked without replacement from awatawaw?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 728993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177 and 4964732.\nAnswer: 14894196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*k + 138*k + 424 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01169397239 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 0 - (10 - (-8 + (16 - 0))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 2. Let g be q(3). Determine k so that k**2 + 4*k**3 - g*k**3 + k**2 - k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from nygggytggy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 84*f. Let l(w) = 8*w. Give s(l(d)).\nAnswer: 672*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/30)\/(2\/30). Suppose 0*h + h = -5*f + 12, -b*h + 18 = 4*f. Solve -2*n + 2*v - 13 + 3 = 0, -h*n - 2*v + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2565441432?\nAnswer: 2, 3, 1399, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38292662 is divided by 83?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2172 and 2496?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016351 to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -167*a**2 + 26154 - 26154. Let y(u) = 9*u. Calculate y(l(f)).\nAnswer: -1503*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-624)\/64)\/(33\/(-132))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**7\/42 + p**6\/6 + 11*p**5\/12 + 5*p**4\/4 - 2*p**2 + 9*p. Factor w(i).\nAnswer: -5*i*(i - 6)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 8*s + 0*s**3 - 76 + 78 + 0*s**3 + 2*s**4 to i*s**3 + f*s + r*s**2 + z + y*s**4 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23310 (base 4) in base 6?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 - 12*a**3 - 2*a**3.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12285, -12283, -12281, -12279, -12277?\n\"Answer: 2*t - 12287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**8\/48 + z**5\/30 + z**2. Find the third derivative of v(r) wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkzkzk. Give prob of sequence zz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 259972416 divided by -4512?\nAnswer: -57618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111000000001 - 0?\nAnswer: -1111111000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 62. What is the common denominator of 29 and 1*((-36)\/1305)\/(g\/25)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -16, 2543.\nAnswer: -16, -10, 2, 2543","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 t when four letters picked without replacement from tssntsstttsstssstst?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -658 + 165. Let i = l - -1190. List the prime factors of i.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150280000 rounded to the nearest 1000000?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 21, -2\/15, 3.83, 1.3, 0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 217 = 2*i, -4*w = -3*i - 2*i - 177. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 361 and 2185133.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/11, 1\/2, 3, 2.\nAnswer: 1\/2, 19\/11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (70 + (-91 - -46))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3598.\nAnswer: 3\/3598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(7 - 287\/21). Suppose -2*i = 3*y + i + 12, v = -3*y - 5*i. Factor -4*j**2 - 12\/5*j**3 - 8\/5*j + y.\nAnswer: -4*j*(j + 1)*(3*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -163, -625, -1387, -2443, -3787, -5413?\n\"Answer: t**3 - 156*t**2 - t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h. Let t(j) = j. Let a be ((12\/(-15))\/(-2))\/((-6)\/(-210)). Calculate a*t(p) - 4*y(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.046, -2\/5, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:50 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(95) - sqrt(95)*1 - sqrt(95))\/sqrt(5) + (sqrt(304) + 0)**2) + -4.\nAnswer: -308 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -976*t + 938*t - 76 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0041? (a) 0 (b) -0.02 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 60 = -14*l + 19*l, 0 = l + 2*v + 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*v - 58, -4*v = -5*v + 1. Suppose -3*q = -4*y + 27, 0 = -2*y + 6*y + 2*q - 2. Suppose -h + y*h = z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -q + 30, -4*q + 18 = 4*h - 42. Suppose q = 4*t - 28. What is the remainder when t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from iuiuxcw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 2, -4, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13929, 13936, 13943?\n\"Answer: 7*u + 13922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-7))\/((-7)\/147). Suppose p - i*p + 538222295 = 0. Let y = -76644459 + p. Round y to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 986162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 5. Let d be b(-3). Let q = -19 - d. What is the tens digit of (-3 + (13 - q))\/((-3)\/(-26))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, s: 3, m: 4, x: 2, j: 1, k: 4}. Give prob of sequence snxn.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:10 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 - 4*x - 3. Let v be u(-3). Let j(o) = o + 8. Let a be j(v). Solve a*s = 3*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704.5141ml in litres?\nAnswer: 0.7045141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88641, 177357, 266073?\n\"Answer: 88716*j - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8662 is divided by 8035?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 3\/5, -3, 3, 1\/5926?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(144)\/(sqrt(9)\/sqrt(3)) + sqrt(480)\/(sqrt(10) + -2*sqrt(10))) - (-5 + -2*sqrt(27)*1 + 2*sqrt(27) + -3))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 295 or 293?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2. Let v(k) be the second derivative of 0 + 7*k - 11\/2*k**3 + 0*k**2. What is l(v(q))?\nAnswer: -2178*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Factor -4*h + 5*h - 3*h + 2*h**2 + v*h.\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1, 0, -6.\nAnswer: -6, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 851557 or 851567?\nAnswer: 851567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 2, g: 5, d: 1}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*b + 9 - 2, 3*b = -o. Suppose 4*a - 3 = -o*v, 0 = 4*a + v + 1 - 2. What is the nearest to a in -3, -2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -117*x - 658. Calculate g(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.094 from -1994.\nAnswer: -1994.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -172470 divided by 5?\nAnswer: -34494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by ((-2)\/(-6))\/((-7)\/(-273)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00395792 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f**4 + 4195*f**3 - 203560*f**2 = 0. What is f?\nAnswer: 0, 56, 727\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24b234 - -4d?\nAnswer: -24b1e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*t**2 - 16*t + 16*t)*(-3 - 4 - 4)*(2*t**2 + 2 - 2) to the form i*t**3 + f*t**4 + h*t + p + j*t**2 and give f.\nAnswer: -1166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 1160?\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**3\/3 + 4*l**2 - 612*l. Let t(w) = -4*w + 17. Calculate -13*q(h) + 6*t(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 3) to base 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(100)\/(sqrt(30)\/sqrt(3))) + (sqrt(17) - -1*-2*sqrt(17))*-3)**2*1*6.\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1717*n**3 + 189 - 356 + 167 + (1 + 4 - 2)*(-6 - 5*n**3 + 6).\nAnswer: -1732*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 0.2. Let a = 24 - 25. Let h = 2 - 7. What is the closest to a in h, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0 + 0*r**2 + 1\/3*r**3 - 5\/4*r**4 + 50*r. Find d, given that i(d) = 0.\nAnswer: 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + (1 + 1 - (0 - (-29 - (29 + -44)))).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7545 + -7546. What is the nearest to v in 1\/2, 0.049, 0.4, 1?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628277 is divided by 209412?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.09+4473.7\nAnswer: 4471.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.67, -6\/47, 3, 1\/7?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**7\/90 + 37*m**6\/360 - 59*m**5\/180 + 35*m**4\/72 - m**3\/3 + 3*m**2 - 3. Determine y, given that c(y) = 0.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6134\/7 + -31748\/35. Are n and -31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 - 251. Let z(l) = l**3 - 22*l**2 + 21*l - 1. Let q be z(f). Which is the nearest to 1\/2? (a) 8 (b) -1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*q - 80*q = 0. Solve -3*f - 6 = p - 19, q = -5*f - 4*p + 31 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -3c40?\nAnswer: 3c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/34)\/(10\/(-2))*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273907?\nAnswer: 23, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = m. Let n be -4*4\/(-24) + m. What is the biggest value in 6, n, 5, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/461 smaller than 14\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -24*q**3 - 6*q + 6. Let b be (-31)\/217 + 164\/(-28). Let f(d) = -d + 1. What is b*f(x) + o(x)?\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 5*k - 18*c, 3*k + 37 + 12 = 3*c + 1 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 759?\nAnswer: -75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 5 - 91)*(0*v**2 + 0*v**2 - v**2) in the form m*v + y*v**2 + w and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76*k + 19*k + 22*k)*(-k**3 - 11 - 6 - 41) to a*k**3 + i*k**4 + n*k**2 + x*k + z and give x.\nAnswer: -6786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 674.63 (b) 15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625338 = -2162*m + 12088*m for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 z when four letters picked without replacement from lflfflzff?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 - -0.4. Let v = 273 + -275. Which is the nearest to g? (a) v (b) 2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**2 - i**5 - 4*i**5 + 25*i**3 + 5*i**4 + 6*i**2.\nAnswer: -5*i**2*(i - 3)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7660012 (base 8) to base 5\nAnswer: -1011244302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 + 0*n**2)*(938 - 57*n - 66*n + 124*n).\nAnswer: -n**3 - 938*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/364*35\/(-45)*(-66)\/(1\/(-1))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.18 from 2176362495.\nAnswer: 2176362495.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8994138*j**2. Let t(a) = -2*a. Give t(h(g)).\nAnswer: -17988276*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:30 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2111 (base 5) to base 11\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1235 - -1238. Solve m*i = 134 - 125 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m - 3. Let o(a) = -a**2 + 16*a + 7. Let k(z) = 7*h(z) + 3*o(z). Let f(s) = -13*s**2 - 2*s + 6. Let v(c) = f(c) - 4*k(c). Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2331)\/(-518)*(-8)\/3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**10*m*m*m**(-10)\/m*m*m*m**13*m*m**(13\/5)\/m assuming m is positive.\nAnswer: m**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82266 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -114\nAnswer: -5\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 41*r - 98 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 19. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + 35*m**2 - 51*m + 50. Let x be t(16). Factor 2\/3*h**x + 2\/3*h**4 - 1\/6*h**5 + 0 - 1\/6*h - h**3.\nAnswer: -h*(h - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = m - 6. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, -2\/3, -13, 38 in ascending order.\nAnswer: -148, -13, -2\/3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 2:30 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000622 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, w: 1}. What is prob of picking 1 w and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/5 - 298*d**4\/5 + 13419*d**3\/5 - 13122*d**2\/5 = 0.\nAnswer: 0, 1, 54, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -574, 3, 0.76, 0.4, 8, 4 in decreasing order.\nAnswer: 8, 4, 3, 0.76, 0.4, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-1)\/((sqrt(64) - sqrt(4))*6) + -2.\nAnswer: -2 - sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -21. Suppose -v = -3*v + 146. What is the remainder when v is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1439 + -4?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -36, 2, 9, 26 in increasing order.\nAnswer: -36, -1, 0, 2, 9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 12*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**6 + 20034*n**3 + 40*n**2 - 136?\nAnswer: 240*n**3 + 120204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 3*j**3 + 5*j - 7*j - 2*j**2 in the form r + w*j**3 + d*j + x*j**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -6 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 20, 31, 42?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-3 - 1*sqrt(19)*-1 - -4*(sqrt(19) + -3 + 4)*4)**2 + -2.\nAnswer: -128*sqrt(19) + 558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435 less than 12997.7279993?\nAnswer: 11562.7279993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59.4 - -65. Let r = 7 - l. Let p = 0.3 + r. What is p rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8175 and 8202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15661 - -15659. Sort 1\/3, 1, q, -3, -1.482 in ascending order.\nAnswer: -3, q, -1.482, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800970 divided by -180097?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)\/((-1)\/(-2)). Let z(u) = u**2 + 1. Let q(b) = -7*b**2 + 2*b - 9. Let a(k) = -q(k) - 6*z(k). Let g be a(2). Solve 5 = -x*l - g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 8*t)*(-82 - 56 + 15 + 23)*(-5*t**3 + 2*t**3 + 2*t**3).\nAnswer: 600*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156649 divided by -15.\nAnswer: -156649\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3382 and 9063?\nAnswer: 1613214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(-18)\/216\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**6\/120 + g**5\/30 + g**4\/6 - 5*g**3\/6 - 80*g**2 - 77*g. Let w(t) be the first derivative of y(t). Give w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, 3, 0.362?\nAnswer: 0.362","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e53 + -6?\nAnswer: -3e59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -105830 to the nearest one thousand.\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 150099\/281?\nAnswer: 150099\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-18)\/60). Solve u*w - 3*m + 19 = 0, m + 0*m = 3*w + 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from ssksoooboo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z. Let u(q) = -q - 3. Let t(s) = 0 + 2*s + 4 + 3. Let p(v) = -3*t(v) - 7*u(v). Calculate l(p(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 18. Let p be k(9). Suppose -p*o + 13*o - 16 = 0. Find the second derivative of 29*v**2 - 5*v - o*v + 5*v - v wrt v.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2656510849 to 5 dps.\nAnswer: -0.26565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let y(k) = -k + 406. Determine p(y(q)).\nAnswer: -2*q + 812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/463 + -5816\/226407. Is h at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738508618 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7661 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-25)*a**(-21)*(a*a*a*a**(-1\/46))**(-37) assuming a is positive.\nAnswer: a**(-7185\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 9*v + 4. Let z(h) = -h**2 - 13*h + 35. Let k = -63 + 48. Let f be z(k). Let c be a(f). What is the highest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -23. Suppose -5*t = -3*t - 180. Let y be ((-1)\/(-10))\/((-12)\/t). Which is the smallest value? (a) -6\/7 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 36470517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345839 is divided by 93?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - -54) + 0\/(-6 + 0) + -6. Solve -40 = 44*z - f*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 7. Let q(k) = k + 7. Let z be q(-10). Let y be j(z). Suppose -h + 3*t + y + 9 = 0, 0 = 4*t - 4. Calculate the lowest common multiple of h and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 8*n. Let t**3 + t + n*t - 1 - 2*t**3 + t**2 + 0*t**2 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -334 in increasing order.\nAnswer: -334, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2844)\/(-10)*((-156)\/(-18) - 2). Let t = -1242 + j. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {b: 4, y: 1, k: 1, c: 9}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 247.77.\nAnswer: -1238.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = u - 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s + n = 46*s + 4, 7*s + 3*n + 18 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcccjwrcv. Give prob of picking 1 v and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-80)\/(-50) - 2)*(-95)\/(-6)*-126 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -36*j**3 + 4*j**2 + 47*j - 51. Determine z(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3523439636, 3523439637, 3523439638, 3523439639, 3523439640?\n\"Answer: u + 3523439635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/280 and -37\/22.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 12*c + 81 = 0. What is the lowest common multiple of c and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + r + r - 13, -4*m + 5*r = 40. Suppose 5*i + 20 = 0, -45 = -5*x + 6*i - i. Sort x, m, 2.\nAnswer: m, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 9:16 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/9? (a) 0.2 (b) 3 (c) 72 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-6)*(-7)\/35.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297322?\nAnswer: 2, 47, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h = 56*h + 71442. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + t + 6*t**2 - 3*t**4 + 0*t**2 - t.\nAnswer: -3*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 4. Let l be t(5). Solve -l = 2*r + r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22825105 by -4565021.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 34. Factor -36*t**2 - o*t**2 + 2*t**2 + 12 - 32*t**2 - 36*t - 27*t**3.\nAnswer: -3*(t + 1)*(t + 2)*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/270 - 11*d**4\/27 + 5*d**3\/3 - 3*d**2 - 81*d. Factor i(g).\nAnswer: -2*(g - 1)*(g + 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 - (-2 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(495)\/(-2*sqrt(176) - sqrt(11)) + (4 + sqrt(135)\/sqrt(3)*-1)**2).\nAnswer: -292*sqrt(5)\/3 + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:35 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7322669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 1, q: 1, u: 1, h: 1, y: 2}. What is prob of sequence jy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 - s + 8. Let i(x) = x**2 + x + 1. Let g(p) = -4*i(p) + l(p). Let c(a) = 6*a + 27. Let r(h) = 3*h - 4. Let u be r(0). Let j be c(u). Give g(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6697650, 13395302, 20092954, 26790606, 33488258?\nAnswer: 40185910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 9:24 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let b(c) = 373*c**2 - 95*c**2 - 507*c**2 - 692*c**2 - 791*c**2. Calculate x(b(a)).\nAnswer: -3424*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570510.\nAnswer: 2, 3, 5, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 43 = o, -3*j + j + o = -23. Suppose 0 = 4*c - i - 997, 2*c - 454 = -4*i + 58. What is the greatest common divisor of c and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 + 1 + -13 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdrrddvvzdzz. What is prob of sequence zz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:10 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 - 2*h + 3. Let m(z) = 5*z**2 - 2*z + 3. Give -3*c(a) + 4*m(a).\nAnswer: 2*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:38 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*q**3 + 2 - 2 + 109*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) 3.99 (b) -0.27 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.93 - -39.9. Let h be (-8 - -2 - -6) + 2\/(-1). Sort -10, h, p.\nAnswer: -10, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 1872*d + 27*d + 57660 = 0 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3056*z**4 + 30*z**3 - 77136*z**2 wrt z?\nAnswer: -73344*z + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*-2*sqrt(104)*-6)\/((sqrt(64) - -2*sqrt(64)*5)\/(sqrt(32)*-3)).\nAnswer: 72*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-3)\/6*1)\/(-6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (56\/6)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8909, -8881, -8831, -8759, -8665, -8549, -8411?\nAnswer: -8251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:52 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 6. Let j(z) = -2*z - 4. Let x be (-36)\/(-18) + 3*(-1 - -2). Calculate x*q(p) + 8*j(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - 1) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -77, -159, -293, -497, -789, -1187, -1709?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136170454?\nAnswer: 2, 568085227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z - 24*z = -336 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147982119 is divided by 375.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0, 211, 4 in ascending order.\nAnswer: -23, 0, 4, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.459292*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67)\/1)\/(-134)*264\/(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edidbbmidmdiiibiei. What is prob of sequence mm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 11:06 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31652192?\nAnswer: 2, 11, 13, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 99.6 (b) -2\/3 (c) -0.1 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 16*d**2 - 5*d - 82. Let w be r(-16). Let o be (-208)\/48 - w\/(-3). Put o, -75, 0 in descending order.\nAnswer: 0, o, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*q - 16*q - 91*q)*(-3 + 3 - 2)*(-2*q**4 + 3*q**4 + q**4).\nAnswer: 276*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 52 = 30*s. Calculate the lowest common multiple of s and 62.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 559831*u**4 + 2507396 wrt u.\nAnswer: 2239324*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 173. Let v be r(0). Let g = -170 + v. Solve o + 2*o = g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19300 (base 16) in base 7?\nAnswer: -606532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2\/9, 1\/2, 6, 0.12052, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-3*5.\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124943\/3 + -41204. Let m = b - 440. Let h = m - 3. Is 2 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72088159705 minus 0.3?\nAnswer: -72088159705.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 880\/3 - ((-56)\/21)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uswp when four letters picked without replacement from {h: 4, p: 3, s: 2, u: 1, w: 3, o: 6}.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3 + 545*h + 218 wrt h?\nAnswer: -6*h**2 + 545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 16 + 25. Suppose -3*i - 22 = -5*y, -r*i - y - 58 = 3*y. Let g be i\/(-10) - 3\/(-5). Solve -2*z - g = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*x**2 - 13 + 10*x**2 - 2*x**4 + 10*x**2 - x + 4*x**4 in the form z + u*x**4 + c*x**3 + h*x**2 + p*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 11 = 29. Let p = z + 33. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + sqrt(3) + (sqrt(12) - sqrt(588)))) + 1 + (sqrt(30)\/(3*sqrt(5)))\/sqrt(2).\nAnswer: 1 + 34*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23295348 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 5*b + 189333 = 0. Let k = b - -1156993\/55. Calculate the common denominator of -109\/20 and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*y + 803*y + 2*z + 18 = 4, 32 = -5*y - 4*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1830 - 1182. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.696094533 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 18282134?\nAnswer: -18282128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204197 is divided by 17016.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.06.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, 9, -923 in increasing order.\nAnswer: -923, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, -1, -4, -5, -360, 31 in ascending order.\nAnswer: -360, -159, -5, -4, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -105362, -105370, -105378, -105386?\n\"Answer: -8*o - 105354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 5*m**2 + 8*m - 7. Let v be x(6). Suppose 9 = -d + v*n, -3*n - 7 = -22. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*i + 650*i - 60 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-639.45\nAnswer: 63.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 78132 - -743?\nAnswer: 78875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i - 36*i - 15*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43421 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -10. Let h(i) = 2*i - 6. Let w be h(6). Let a be (t\/3)\/(2\/w). Solve -a*r = r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 438564 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*f + 4224 = 148*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 2*a**2 - a**2)*(100*a + a + 35*a).\nAnswer: -952*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -383, -388, -391, -392, -391, -388?\n\"Answer: m**2 - 8*m - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**3 + 279*d**2\/5 + 7*d\/5.\nAnswer: -d*(d - 7)*(40*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020222220001 (base 3) in base 16?\nAnswer: 1251c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 742*a = 373*a + 365*a - 9, 4*a + 142 = 18*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*f + 18 = -234*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nennenyyiyynynnynn. Give prob of picking 3 y and 1 n.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 16 = 4*r. What is the second derivative of r*g**4 + 2*g - g + g + g wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 13*z - 8. What is the lowest common multiple of 24 and r(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1470697800 by -5.\nAnswer: -294139560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*m - 4224 = 86*m - 129*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4146 + 2*s + 4146.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-177 - -178) + (2 - 23) - -32.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - y + 15, 0*g - y + 21 = 3*g. Let p(d) = 3*d + 7 + 2*d - g. List the prime factors of p(9).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4772, -9599, -14432, -19271?\nAnswer: -24116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629380 is divided by 629378.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*a + 200 = -20*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - i - 22 = 2*o, -8*i - 75 = -10*o - 3*i for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 1. What is the remainder when (8\/12)\/(2\/(-21)) - -14 - -38 is divided by b(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 18*b**2 - 2*b**4 + 4*b**2 + 2*b + 7 + 11*b**2 + b**2 - 12*b**3 as i*b + a*b**2 + j*b**3 + t + h*b**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/27, 0.8 in decreasing order.\nAnswer: 0.8, 0.2, -1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 4, -10 in decreasing order.\nAnswer: 56, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 37*i - 32 = 0. Let v(b) = 4*b - 6. Let h(d) = -11*d + 16. Let x(k) = i*v(k) - 3*h(k). Let s(y) = -36*y**2. Determine x(s(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1105 divide 614904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 3, w: 1, c: 4}. Give prob of sequence cvz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6817045 millilitres to litres.\nAnswer: 0.0006817045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33a6 + 1c38?\nAnswer: 5311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386522317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52524431.\nAnswer: 53, 991027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 40, 93, 184, 325, 528?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*w - 21. Let h = -1 - -3. Let l(t) = -w*t**2 + 4*t**h - 2 + 0*t**2 - 2*t - 4*t. Calculate l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98318, -196618, -294918, -393218, -491518, -589818?\n\"Answer: -98300*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10 + 15433\/1495 + 1\/13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpqq when four letters picked without replacement from ppppplpqpppqqpqqqqqp?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -20188*b - 1783*b + 6936*b - 11283*b in the form s*b + q and give s.\nAnswer: -26318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -995 by 5.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/11)*v**(-2\/29))\/(v\/(v**(1\/5)\/v))**(5\/4) assuming v is positive.\nAnswer: v**(-1915\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 411166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870719 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Let b(q) = -q**3 + q**2 + q + 4. Let d be b(0). Solve -h = 2*f - d*y, 2*y - 6 = f + 5*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0, 4, -5\/78?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/39*1\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3668 and 5502.\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/28 - (-95)\/(-1140)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r + 144*r + 151*r + 753 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -28494.5046 to the nearest 100.\nAnswer: -28500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013118 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**3 + 48*r**2 + 5*r + 1. Determine p(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 1157*b**5\/30 - 45*b**4\/8 + 124*b**2 - 4. What is the second derivative of h(k) wrt k?\nAnswer: 4628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11920771.\nAnswer: 19, 31, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 15*d - d**2 + 0 + 0*d**3 - 1\/6*d**4 - 3\/20*d**5. Let a(r) = r**3 + 1. Let q be (1\/(-2))\/((-2)\/4). Calculate q*a(z) + k(z).\nAnswer: -2*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 130682\/13 + 396\/156 + -3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/(286\/(-117)*63\/(-84)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202102 - -1?\nAnswer: -202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {d: 1, y: 2, r: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 36401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3212)\/22737 - 24\/39*40\/(-160)\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 2457 - 7321. Let z = 1015 - v. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-296)\/222*6\/32*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, s: 2, u: 7, a: 4, r: 1, o: 1}. What is prob of picking 1 a and 2 u?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004745 to 6 decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -330*372\/(-1395).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -248 + 1?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 1. Let p be q(0). Let x(a) = 0 + 2 - 7*a**2 - p + 1 - 5*a - a**3. List the prime factors of x(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12049 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 171*m. Let z(g) = 616*g - 505*g - 108*g. Give x(z(n)).\nAnswer: 513*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8867.366 litres in millilitres?\nAnswer: 8867366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68751600 and 3286.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1478 - -10277. What are the prime factors of a?\nAnswer: 5, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*w + 15 = 0, -2*w - 3*w = 15. Let i(a) = 10*a + 11. Let b be i(k). Let z = b - -110. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.372 minutes in milliseconds?\nAnswer: 47722320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 29. Suppose 5*b - 18 = n*k, 3*b - 7 = -0*b + 5*k. Solve 0 = o - 4*c - 16, 0 = 2*o + 3*c + b + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-19*z + 32 - 32) - 3*z + 5*z + 0*z + (-1 - 1 + 1)*(-z + 0*z + 2*z).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 1903?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(4*(sqrt(136) - -2*sqrt(136)) + sqrt(136) + -2*sqrt(136)*-3)\/((sqrt(8) - -4*sqrt(72)) + (sqrt(8) - sqrt(128)*-5) + sqrt(8)))**2.\nAnswer: 12\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.4. Let j = -224.5 + 224. Which is the smallest value? (a) j (b) f (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5447077?\nAnswer: 5447077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (35\/11 + 2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 - 337. Let n = 192 + m. Which is the closest to n? (a) -0.4 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 25*d**2 + 9*d - 19. Let o(q) = q**2 + q - 2. Determine -18*o(x) + 2*t(x).\nAnswer: 32*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66449 is divided by 62.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 47027*n. Let s(u) = u + 525. Calculate r(s(o)).\nAnswer: o**2 + 48077*o + 24964800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from wwwwwwwhee.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 2088, 4676, 8316, 13020, 18800?\nAnswer: 25668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((190 - 176) + (-9 - (-3 - -7))) - -25.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3. Let u(a) = -11*a**3 - 14*a**2 + 34*a - 18. Let p(b) = 18*s(b) + 2*u(b). Solve p(t) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 - 471510*a - 18526806675 = 0. Calculate a.\nAnswer: -78585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -16 + (18 + 1 - 15).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/25177 and 77\/170?\nAnswer: 251770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1*147\/56)\/(2115\/(-1080) + 2)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1023756690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/11*23334\/151671?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50325*l - 8 = m + 50322*l, 0 = -l + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 11*x = 12. Let y be (30\/(-8))\/((-1)\/x). Let d(m) = -y - 15 + 30 - 2*m. Let q(f) = -8*f**2. What is q(d(t))?\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2430552536027.17 from 4.\nAnswer: -2430552536023.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*h - h. Suppose -3 = -t + 9. What is the greatest common factor of h and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257113218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-6))\/((-4)\/18). Suppose -5*o + a + a + h = 0, 3 = o - 5*a. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025\/12 + (-6)\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, q: 3}. Give prob of sequence qq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + b)*(-b**2 + 2*b**3 + b**2) - b**4 + b - b + (-18*b + 18*b + 15*b**2)*(0*b - b + 5 - 1)*(-2 + b + 2).\nAnswer: -18*b**4 + 60*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/3)\/((-2)\/6). Let z(b) = -9*b + 18. Let v be z(0). Let k be (v\/(-21))\/6 + (-128)\/(-14). Is l at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -626 + 184. Let h = r - -578. What is the highest common factor of 51 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 141.7. Which is the closest to 0.1? (a) 8\/3 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206096 is divided by 191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*c = 43, -3*d + 22 = -d - 4*c. Suppose 4*i + j + d = 0, 4*j - 21 = 3*i + 3. Let l(g) = -11*g + 9. What is the units digit of l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 57 = -45*o + 557 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10612125 or 10612124?\nAnswer: 10612124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let u(n) = 627747524*n. Give p(u(i)).\nAnswer: -1255495048*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 + 220.03. Which is the closest to -2? (a) w (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z = -2*f + 2*f - 19*z + 5, -5*f + 2*z + 1 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13 and 58\/12539233.\nAnswer: 12539233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/117 and -103\/208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16389, 32764, 49125, 65472, 81805?\n\"Answer: -7*h**2 + 16396*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-7 + 6 + -3) - 2) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 5 (c) -28.8 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -19. Is -5 - -9 - (-100 + p) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4aaab1 (base 12) to base 13\nAnswer: 33a009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32046633517 - 92\nAnswer: 32046633425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 9.057.\nAnswer: -9.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -93.74 + 0.2?\nAnswer: -93.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/11, -0.4, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o + 9. Let r(z) = -z - 1. What is c(l) + 4*r(l)?\nAnswer: 4*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7898604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34042334 (base 5) to base 7.\nAnswer: -2355550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -213, 3 in ascending order.\nAnswer: -213, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 46*x - 23. Let j be p(25). Suppose 3*u = r + 113, 0 = u + u - r - j. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*u + 208*u - 77 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 13. Let z be l(11). Let u = 1 + -0.9. Let j = 1.1 + -6.1. Which is the third smallest value? (a) j (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-24)*(-18)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -195. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -17*f**3\/6 + f. Suppose 4*j - 5*k - 1 = 0, -2*j = -4*j - 2*k - 4. What is the tens digit of d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 6226 - 5956. Solve w = -367*y + 362*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297770956?\nAnswer: 2, 3, 13, 283, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 14*o**2 - 9*o - 2. Let p be g(-14). Let x = p - 64. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1012200?\nAnswer: -1012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(13)*3*2)**2 + (sqrt(208) - (2 + sqrt(208))) + sqrt(13).\nAnswer: sqrt(13) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 2:06 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 260465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 + -53. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 e, 1 m, and 1 n when four letters picked without replacement from mhnygeyymyggyhmhgh?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*g - 3 = 0, -2*n - 2*n = g - 15. Let z(t) = 5*t - 2*t + 2*t + 4*t**2 - n*t**2. Let a(d) = -d**2 - 4*d. What is 5*a(o) + 4*z(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 39.9. Let o = -200 + 358.5. Let k = o - 158. Which is the closest to l? (a) -1\/3 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7397016 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8349, 33348, 74895, 132888, 207225?\nAnswer: 297804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 + 5*n - 3. Let t(f) = -2 - 6292*f**2 + 6291*f**2 - f + 2. Let o = 16 - 15. Let x(q) = o*i(q) + 4*t(q). Calculate x(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -986 and -987 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 613?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 64\/25, 8, 5, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -229505.\nAnswer: 17\/229505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 187 in 1, 0, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) 15 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3 - 65*a**2 - 1151*a - 88. Is l(-31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -64 (c) 3 (d) -3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.34 - -0.74. Let y = -23\/105 + 2\/105. Which is the closest to u? (a) 0 (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534275419?\nAnswer: 337, 1585387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194\/3 - 1973\/30. Let f = -22 - -4. Calculate the common denominator of v and 882\/12*2\/f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = 0, -4*u - 83690 + 295493 = 3*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*6*1\/3. Suppose 0 = -v*o + 4, -2*f + 3*f - 3*o - 5 = 0. Suppose f*s = -3*s + 187. Calculate the remainder when 48 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80752, -161502, -242252?\n\"Answer: -80750*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10772797?\nAnswer: 7, 109, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.027 - -0.006. Let x = -1.3 + 1.286. Let f = g - x. What is f rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + (22 - 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r**3 + 526*r - 308*r**2 - 263*r - 4*r**4 + 177*r - 192 = 0. What is r?\nAnswer: 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 - 95*g + 6. List the prime factors of a(24).\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1\/33, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 67 + 232 - 16 + 6*n)*(-4*n - 2*n + 3*n) to a*n**2 + w + t*n and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (194 - 13) + -2*1\/(-2). Suppose 2*y + 1162 = c. What is y rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468 and 98735?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132328 - -147201. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 2, n: 1, o: 1, s: 5, u: 3}. Give prob of sequence uos.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9262*u**2 + 2962*u + 58. Let c(o) = -27788*o**2 - 8890*o - 186. Let x(d) = 5*c(d) + 16*t(d). Find the second derivative of x(f) wrt f.\nAnswer: 18504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmh when three letters picked without replacement from {f: 2, q: 1, w: 1, m: 1, h: 1, x: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m = 27*m + v + 2, -46 = -2*m - 10*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2786*x + 434 = 2724*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*t + 5*v, t - 4*v - 9 = 2*t. Suppose -z = -t*z. Suppose 0 = -i - z*i + 5. Solve 0*o + i*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 110398989?\nAnswer: 110398989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1766 and -7\/18.\nAnswer: 15894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc62d5 (base 14) to base 6.\nAnswer: -345014151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*n - 6*n - 2*z, 3*n = 5*z + 13. Let d = 28 + n. Let p = 32 + d. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -177753872 and -177753873 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 1, e: 1, k: 2}. What is prob of picking 1 o and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.72 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/9)*r\/r**(-1\/6))\/((r*r\/(r\/(((((r\/((r**8*r)\/r))\/r)\/r)\/r)\/r)))\/r**(-12)) assuming r is positive.\nAnswer: r**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 106\/34 + -3 + 0. Suppose 2*s + 2*u - 23 = 3*u, -3*u = 4*s - 31. Suppose -2*j = -5*r - 15, -2*j + 0*r = -4*r - s. What is the smallest value in j, a, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 34 = 5*g, 3*g = -2*s + 6. Suppose s = -3*y + y. What are the prime factors of 60 - (-6 - 3)\/y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 10*m**2 + m + 4. Calculate the remainder when f(7) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 17*l - 11*l.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - 0.8. Let v(q) = -21*q + 5. Let r be v(-3). Let b = r + -69. Sort b, -0.5, z in decreasing order.\nAnswer: -0.5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**2 - 3*c + 5. Let h(u) = 14*u**2 + 4*u - 8. Let w(p) = -8*f(p) - 5*h(p). Suppose w(y) = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/51867 and -62\/135?\nAnswer: 259335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366659\/256104 - -4\/3557. What is the common denominator of ((-157)\/(-1884)*4\/(-10))\/((-6)\/(-445)) and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 5*q - 8 - 2, b + 2*q = 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 3\/2*z**3 - 69\/10*z**6 + 0 + 1\/12*z**4 + 0*z**2 + 0*z**5 - 75*z. Find the third derivative of v(m) wrt m.\nAnswer: -4968*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*d**2 - 14*d**2 + 11*d**2 + (-4*d - 6 + 6)*(4*d - 2*d - 3*d))*(-6*d + 0 + 2*d - 2) as v + j*d**2 + i*d**3 + r*d and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5219 = -14*d + 31*d. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 15*w + 3. Let c be x(-7). Let t = -20 - -42. Calculate the remainder when t is divided by (1 - (0 - c))\/(6\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/280 and 24\/1360835.\nAnswer: 10886680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8300, 9225, 10774, 12953, 15768, 19225, 23330, 28089?\n\"Answer: i**3 + 306*i**2 + 7993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 18*l + 18. Let o be l\/6*-4 + (18 - 4). Let z be (10\/8*-6)\/(12\/o). Is z greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 16623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-676.16.\nAnswer: -2704.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*j - 16, -5*j - 5 = -0*j - 5*c. Let h(x) = 53*x + 3. Let s be h(j). Let p = 569 + s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13550? (a) 2\/9 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1768 and 21841872?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 2)\/(-6) - (-10 + 1). Suppose 1020 = 5*o + g*o. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -27*h + 6. Let u(n) = -n**3 - 7*n**2 - 6*n - 4. Let z be u(-6). What are the prime factors of m(z)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-45)\/(-10))*4. Let r(o) = 10*o**2 - o - 22. Let t be r(c). Let m(w) = -t + 332 - 5*w**2 - 7*w + w**3. What is m(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 531\/63) + 996756\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358865 is divided by 25633.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2456885 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-25\/4)*b**(-8))\/(b**(-4))**(-3\/22) assuming b is positive.\nAnswer: b**(-651\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117\/17 + -2967\/68. Let i = x - -37. Let s = -209.9 - -210. Which is the second smallest value? (a) s (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84756 is divided by 28247.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2929559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 119152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-6 + 3 + -1. Let h = -3 + d. Let s = 8 - h. Calculate the remainder when 58 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*1*sqrt(19))**2 + ((sqrt(19) - sqrt(209)\/(sqrt(99) + sqrt(11)))*3)**2.\nAnswer: 2755\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1781 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 309*h - 238. Determine j(-78).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279329 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100110001101001010011 (base 2) to base 7\nAnswer: -13432631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txjx when four letters picked without replacement from {t: 3, j: 1, o: 1, x: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24b (base 13) to base 9.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -111\/2. Which is the nearest to 2\/3? (a) m (b) 2\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u - 28. Let c be z(9). Suppose -2*f = 2*f - c. Suppose -15*r = -f*r - 656. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184444808?\nAnswer: 2, 3, 17, 61, 47591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036 (base 7) in base 11?\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/9, 0.2, -2, 47?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/1033 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 3*y + (2 - 4 + 0)*(0*y + 2*y + 0*y) + ((-3 - 3 + 4)*(6*y - 3*y - 5*y) + 1 - 1 - 9*y)*(4 - 5 + 0))*(-3*y + 3*y - 4*y**3).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mss when three letters picked without replacement from {s: 1, z: 4, t: 4, m: 1, u: 3, g: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07339 + 0.03143. What is g rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.09? (a) -8 (b) 0.3 (c) 0 (d) 0.09 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -10, 1 in decreasing order.\nAnswer: 8, 5, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*5*(-5)\/(-225).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -568, -906?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * -0.295.\nAnswer: -15.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*z**3 - 58*z**3 + 201*z**2 + 273*z**2 - 37446*z + 986078.\nAnswer: -2*(z - 79)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by 540?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*p - 56*p - 9*p**2 - 2*p**2 + 4*p**2 - 4*p**2 + (2*p - p + p)*(-2*p - p + p) to t*p**2 + g*p + o and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -62 - -65 - 0\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12663 + 5577 = -912*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 + -4 - -18) + 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*5)\/sqrt(288) - ((-1*sqrt(350))\/(sqrt(7) - (sqrt(56)\/(sqrt(8) - sqrt(32)) - sqrt(7))) + 2).\nAnswer: -2 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -1\/4, 9.2?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n - 2. Let g be s(-1). Suppose 0 = g*r - 7*r + 292. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 14 + 10. Let o = 7 - n. Calculate the remainder when 105 is divided by 23 + o\/((-4)\/(-16)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/(10\/(-40)). Sort -3, 16, -1\/5, s in ascending order.\nAnswer: -3, s, -1\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.37 + 4.77. Let g = c + -4.8. Put -2, g, -4, 0.06 in decreasing order.\nAnswer: 0.06, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u + u - 2*u - u + 6*u - 74. What is the smallest common multiple of 4 and l(-18)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 1 - 1 + (0*m - 4*m + 3*m)*(-2*m + 2*m - m) + 283*m**2 + 2737*m**2 + 1071*m**2 to the form j*m + c*m**2 + v and give c.\nAnswer: 4089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 63 = 11*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/(1\/(-3)). Let d = h + 15. Let r(y) = y**3 - 16*y**2 + 29*y - 7. Let p be r(d). Calculate the highest common factor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba - 5?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 12*h - 11. Let b be o(-10). Suppose r - b + 5 = 0. Is (-7402)\/(-18) + r\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + 4 + 3)*-1. Suppose 0 = 10*v - r*v - 2304. Suppose 2*f - 5*f = -v. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*x - 9*x = -10, -w - 9 = 2*x. Let u be -2044 + 0 + (-1 - 0). Is 0 + (-1)\/(w\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10479879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, 422, 1643, 4018, 7931, 13766?\nAnswer: 21907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 547 - 123. Let x = -423.643 + k. What is x rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6503995, 13007948, 19511905, 26015866, 32519831, 39023800?\n\"Answer: 2*y**2 + 6503947*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7967.2 - 7049. Let q = k + -918. Sort 1.5, 1, q, 2\/7 in increasing order.\nAnswer: q, 2\/7, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61 plus 23472?\nAnswer: 23471.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.8 - 4.7. Round j to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/1)\/(3\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -9*m + 104. Suppose 17*g - m*g = 8. Suppose g*h = 4*h - 68. Calculate the highest common factor of h and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/14 - (-2 - (-1840)\/1925) and -63\/275.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8007130*v**3*w**2 - 2*v**3 - 2*v - 5*w**4 + 65166284*w wrt w.\nAnswer: 16014260*v**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59647 - 1211 = 28*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-24)\/30*(-33)\/((-2376)\/(-80)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 + 10\/(-60). Put -110, x, -4 in descending order.\nAnswer: x, -4, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 9 + 1 = -3*w, -4*v = 5*w + 21. Suppose -5*m - 64 = -0*m - q, 37 = -3*m + 2*q. Let h = w - m. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4807*j - 4800*j - 68215. What are the prime factors of j?\nAnswer: 5, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/5 - 88*m**3\/5 - 358*m**2\/5 - 21*m + 110 = 0?\nAnswer: -5, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 at most as big as -214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1 = 4*t + 1, -2*t + 8 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -0.0289587332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-2)\/(-6)). Suppose -7*g + 3*g = 3*g. Solve f*r - r - 1 = g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34486.1802 to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 239*k**4*z**2 + 784*k*z**2 - 92651*z**2 + 3*z - 4 wrt k.\nAnswer: 956*k**3*z**2 + 784*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*j - 77. Suppose 124*h + 18 = 106*h. Which is the third biggest value? (a) 2\/21 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from gisdoiigggsigig?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 281.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.1, -0.05, 27, -3\/7, 1\/3, -177\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15 - -6 - 5 - (86 + -1).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/2 - 5*y**3\/6 - 13*y**2\/2 + 980*y - 1. Determine g(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (98 - 81) - -13.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -0.1, -2, -5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23410 + 53772. Suppose 23*u = -1543 + n. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:09 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 1. Let g be j(3). Suppose 127*z = 90*z + 148. Solve -2*f - 20 = -4*t, -4*f + g*t + z = 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {s: 2, k: 5, c: 2, j: 4, t: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210122202110 (base 3) in base 11?\nAnswer: -5a4613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o**3 + o**2 + 36*o + 34. Let x be m(-1). Which is the nearest to 2? (a) x (b) -0.2 (c) -1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 1770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4230 divided by 214040\nAnswer: 423\/21404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*s = -83*s - 4251 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.116 + -0.884. Let n = 1 + -4. Which is the biggest value? (a) u (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.49 and -1.5.\nAnswer: 0.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1866.6 + -1675. Let q = -147 + k. Let y = q + -81. Round y to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(0 - -3)*(280\/14 - 19)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 - 76*o - 1287. Let r(c) = -5*c**2. Let d(u) = -3*r(u) - y(u). What is the derivative of d(j) wrt j?\nAnswer: 24*j + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0 - 2\/3*g**3 + 0*g - 1\/60*g**5 + 5\/24*g**4 - 7*g**2. Let l be j(3). What is the highest common divisor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/61220 < -244\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1148071, 2296146, 3444223, 4592302, 5740383, 6888466, 8036551?\nAnswer: 9184638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/540*-5 - (-6400)\/(-36). Sort -0.06, -3, c.\nAnswer: c, -3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -213*r**2 - 9*r. Let v(p) = 29*p**2. Give u(v(y)).\nAnswer: -179133*y**4 - 261*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1615 and 81831404?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 5*h + 6. Let q(f) = -f**3 + 4*f**2 - 2*f. Let m be q(2). Let c be g(m). Let x(l) = -5*l + c*l + 2*l. Let r(p) = -2*p**2. Calculate x(r(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/3 - 4*l**2 - 3*l - 2. Let i be r(8). Is i not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and 117\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 - 251. Let i(t) = t**2 + 1. Let q be i(-2). Suppose q*k - 26 = p. What is the remainder when 104 is divided by k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21 + 3)*(-2)\/(-6). Let m be (g\/10)\/((-22)\/(-55)). Differentiate -3 - m + 3*x - 3*x - 7*x wrt x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*b = 32. Let y be 8\/5*(-10)\/b. Solve 0 = -4*g - 0*g - y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/9, -5, 48, 8.\nAnswer: -5, -4, 1\/9, 8, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -248 (b) -1 (c) -1\/2 (d) -2.8 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 3*t**2 + 4*t - 1. Let g(m) = m**3 - m**2 + m - 1. Let r(f) = -3*g(f) - s(f). Determine r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -60, -115, -186, -273, -376, -495?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4 + 10*f**3 + 2*f**2 - 4*f**2 + 1. Suppose 0 = a + 5. Let x(s) = -s**3 - 1. Let z(m) = a*x(m) - j(m). Find the third derivative of z(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n + 1. Let w be z(3). Suppose -11*v + 6*v = -w. What is the remainder when 33 is divided by (-7 + v)*(16 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -19 - 25\/(17550\/(-14638)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3448.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (396\/(-24))\/((-2)\/(-4)). Let l = 66 + y. Let k(s) = s**3 + 4*s**2 + 2*s - 1. Let t be k(-2). What is the greatest common factor of l and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**3\/5 - 170296*j**2 + 851483*j\/5 - 212871\/5 = 0.\nAnswer: -212871, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 49*l. Let r(c) be the first derivative of -c**2 + 49. Give r(j(s)).\nAnswer: -98*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337274?\nAnswer: 2, 7, 24091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - 100\/(-19 + 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 456\/5 - 92. Which is the fourth smallest value? (a) -0.7 (b) -5 (c) -2\/3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -18*x + 15*x + 21, -4*x - 22 = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60.728 + 10.638. Let j = 4.69 + r. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -31*t**4\/12 - 5*t**3\/6 + 144*t**2. Does 12 divide b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 22, 22, 4, -38, -110?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 1 + 0 + i + i**2)*(-1 - 2 - 1) as a + x*i + g*i**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02313676258 rounded to six decimal places?\nAnswer: 0.023137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + 0*d + 0*d)*(2*d + 3*d + 0*d) + 0*d**3 - d**3 + 2*d**3 to v*d + w*d**3 + y + x*d**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 8. Suppose 0*v = 2*v - 6. Let f(m) = n*m**2 - v*m**2 - 2*m - 1 + 3 - m**2. Determine f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let a be x(-1). Let u(o) = -3*o**2 + 0*o**a + 0*o**2. Let v(y) = -2 + 2*y + 2. Give u(v(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.48. Let c = -0.82 - h. Is 9 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-30654)\/(-5 - 4) + 9.\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 1\/2*z**3 + 0 - 19*z**2 - 1\/12*z**4 + 1\/120*z**6 + 0*z + 7\/60*z**5. Calculate the remainder when a(3) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7326 times -4?\nAnswer: -30.9304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - 4)*4\/10. Let g be x\/(-24) + 142\/12. Suppose -a - 14 - g = -3*v, -2*v + 19 = a. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-2*(-23)\/506?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 20*y**2 - 17*y - 138. Does 13 divide u(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19943254, -39886506, -59829758?\n\"Answer: -19943252*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 581 (base 12) to base 11.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5259 - 10733\/2. Let p(t) = -4*t**2 - t. Let a be p(5). Let u = a - z. Find the common denominator of 9 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/9 + 77942*c**2\/9 - 10950340*c\/9 + 10872400\/9 = 0. Calculate c.\nAnswer: 1, 140, 38830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 2*h + 9 - 7*h - h**2 + 3*h - 3*h. Suppose 4*z = -9 - 23. Calculate k(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/6)\/(4 + (-29)\/8). Suppose i*y + 26 = 162. Let q = 24 + -17. Calculate the remainder when y is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -76610\/129 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 0*f + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*y = -58 + 66, -15*y + 2 = -2*o - 23*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09975 times -4?\nAnswer: 0.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Let i be 0 + 2 + s - 23. Let u = 45 + i. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 2*k + 0*k**2 + 0*k**2 + (4*k - k + 0*k)*(-1306*k + 504*k + 575*k) as d + o*k + i*k**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9)*(-3)\/(-2))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 3:45 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 3)*(55 + 47 + 2)*(-6*c + c**2 + 6*c) in the form v + m*c**2 + a*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-1))\/(-12) - 34\/(-8). What is the tens digit of i*(-4)\/8*39\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + j + 10 - 2, 0 = -4*u + 3*j + 20. Suppose 5*z = -2*r + z, -5*r = -u*z - 24. Suppose -3*h + r*w + 479 = -106, -4*h = 2*w - 758. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 29*w**5\/20 - 4*w**3\/3 - 5*w**2\/2 + 57*w. Let r(d) be the second derivative of t(d). Let q(n) = -n**2. Determine q(r(p)).\nAnswer: -30276*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, q: 2, b: 1, c: 2}. Give prob of sequence pcq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*p**2 - 5 + 5 + 16*p**2 to c*p**2 + m + z*p and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -74, -103, -126?\n\"Answer: 3*i**2 - 44*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8226105361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.4 (c) -4\/7 (d) 4856\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**6\/20 + u**4\/8 + 6*u. Solve i(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1645, 3304, 4967, 6634, 8305, 9980?\nAnswer: 11659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 10. Let s be (-12)\/18 + (-2)\/(-3) + 5. Let p = q - s. Is 3\/7 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g - 793*g**2 + 71*g + 1191*g**2 - 715*g**2.\nAnswer: -317*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*b - 13, 0*n + 15 = 3*n - 6*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 23*w**3 - 5*w - 237. Give a(0).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11450 and 16.63.\nAnswer: 190413.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/504)\/(2\/(-6)). Let m = r + 46\/63. Which is the smallest value? (a) 3\/2 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (12 - -3)) + 9 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o - 73. Suppose -4*m + 4*w = 3*w + 49, 4*m + 2*w = -34. Let r be k(m). Solve -r - 8 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 85*s**2. Suppose -4*t = 2*n - 10, -4*n + 1 = t - 5. Let k be w(n). Calculate the highest common factor of k and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -0.34, -5?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 - -20202020?\nAnswer: 20211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49749 by 16583.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1114216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35509404 divided by 5054.\nAnswer: 7026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 112 - 40 = 0. Let m = -24 + i. Let t be 23 + 3\/m*-4. Solve 7*d - t = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 556.1562 millilitres?\nAnswer: 0.5561562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2\/5 + 126244*o + 9960967210 = 0?\nAnswer: -157805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Suppose -2*r - 5 = c*r. Let w = 1 - -1. Put r, w, 0.4 in descending order.\nAnswer: w, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127098, -127096, -127094?\nAnswer: -127092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3642*k + 1280*k - 89246 - 224714 = -2927*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-105) - (-7362)\/(-210)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.0995 (b) -5802 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-125)\/(2\/(4\/(-1))) + -4. Let n = -86 + o. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 50.04517 decades?\nAnswer: 5.004517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/31890322?\nAnswer: 3\/31890322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -39. Let y be (3\/(-2))\/(1\/194). Let a = c - y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 290598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -459, -458, -457, -456?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Suppose i*z - 3 = -a + 10, -z + 3 = 0. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563 a factor of 15279764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-147)\/15 - (-2)\/(-10)*1. Suppose -2*a = -a - 7. Suppose 3*o = -a - 20. Are o and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356175 (base 12) to base 3\nAnswer: 1121201202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 2 (c) -0.04 (d) 1\/4 (e) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0399031596 to 5 decimal places.\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-936)\/(-27))\/(-13)) - (-5 - (-3141)\/72)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*z + 14. What is the fourth biggest value in -0.3, 4, z, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1028044\/25917 - 1\/8639. Let i = -156316 - -156357. Is o > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*h + 5, 8*h = 6*h - 4*o + 18. Let s = 11 + -15. Let g = -11 - -15. Which is the closest to h? (a) g (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65532, -63915, -61220, -57447, -52596, -46667?\n\"Answer: 539*h**2 - 66071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let s(t) be the first derivative of 0*t**2 + 1 + 11\/3*t**3 + 6*t. Let c(g) = 155*g**2 + 85. Let o(q) = 6*c(q) - 85*s(q). What is o(r(j))?\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3430684*l - 13970650?\nAnswer: 3430684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.88 + -2.67. Let i = c + 0.4962. Round i to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*i = 10, -i = -245*d + 247*d + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 14789 = -5*y, 4*y - 5*o + 1306 = 13132. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/11))**(-28)\/(c**(-4\/25)*c**(1\/32)*c) assuming c is positive.\nAnswer: c**(126733\/8800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1640 - -20.25?\nAnswer: -1619.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.398882 milligrams to grams.\nAnswer: 0.007398882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2843.555 hours?\nAnswer: 10236798000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - g = -2, -562 + 620 = 5*p - 19*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-8) - (-18)\/24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11026255, -11026260, -11026265, -11026270, -11026275, -11026280?\nAnswer: -11026285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 15*i - 11*i, 864*i + 24 = q + 859*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/2170546 and -34\/197?\nAnswer: 2170546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 8. Which is smaller: n or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 - s. Let j be r(1). Let f be (-15*(-20)\/(-24))\/((-2)\/(-4)). Is (6\/j - f) + -6 + 5 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/(-248))*1\/2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.419*1999.1.\nAnswer: 837.6229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(((-2)\/(-11))\/(3\/33)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75007*a**3 - 36908*a**3 - 2986*a**3 - 4472*a**3.\nAnswer: -119373*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 912698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 209257.7 and 2.\nAnswer: 209259.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 2. Determine q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, and 2 d when four letters picked without replacement from {f: 5, s: 4, i: 4, d: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.6463331 to 1 decimal place.\nAnswer: 111.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 166?\nAnswer: 8632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 58*z - 6088. Calculate r(104).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9318 - 8919. What is the remainder when v is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*f*y**3 - 6*d**2*f*y**2 - 3*d**2*f*y + 3*d**2*f - 2*d**2*y**2 + 28*f*y**3 + 6*y**5 wrt y.\nAnswer: 12*d**2*f + 168*f + 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 - u + 1. Let b(k) = 9*k**3 - 12*k**2 - 5*k + 8. Let v(x) = -3*b(x) + 24*t(x). What is h in v(h) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5. Let n = -20457 - -20456.79. Which is greater: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4018*d**3 - 6*d**2 + 3. Let t(b) = -9*b**3 + 2*b**2 - 1. What is -2*j(i) - 6*t(i)?\nAnswer: -7982*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/37 + -40\/111. Which is the second smallest value? (a) t (b) 1\/2 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-1 - 9\/(-6)). Suppose -4*t - 2 - 8 = h, u = 3*h - 4*t - 2. What is the units digit of ((-4)\/3)\/(h\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106621*c**2 + 41294*c + 1.\nAnswer: 213242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*-1)\/sqrt(8))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 889 + 919 + 901 - 6*u - 2709.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026705 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {h: 2, y: 8, x: 2, a: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 644616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1809 and 486.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/132 and 85\/3016024?\nAnswer: 9048072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h + 3528. What is the thousands digit of i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519996024?\nAnswer: 2, 3, 802463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihdhhdhiphvi. Give prob of picking 1 i, 2 h, and 1 d.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:39 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 249\/46 less than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -0.309?\nAnswer: -0.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j - 3. Suppose 0 = -2*g - 5*p + 207990, 0 = -j*p - 5 - 1. Round g to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 0.37. Let v = n - -1.36. What is the third biggest value in 5, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/9 - 979448*c**4\/9 + 1197136*c**3 + 26445668*c**2\/9 - 10774222*c\/9 - 2829580 = 0 for c.\nAnswer: -489735, -2, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 92197 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**3 + 17\/8*g**4 + 0 - 53*g**2 + 1\/60*g**5 + 0*g. What is the second derivative of s(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -5.9. Let a = -4.9 - q. Let f = a + -0.6. What is the third smallest value in -0.5, f, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*m = -133*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (448\/1568)\/(-2*(-3)\/(-588)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + p**2 - 11*p**2 + p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2)\/f)**(-1\/38))**(-26)\/(((f*f*f**(-1\/6)*f*f*f)\/(f*f**(-2\/9)))\/(f\/(f*f**(-2\/9)*f))**(4\/11)) assuming f is positive.\nAnswer: f**(-21469\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3525 and 1107790.\nAnswer: 16616850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 - 56*i + 3130\/11.\nAnswer: -2*(i - 5)*(i + 313)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*y - 4 + 4)*(1091*y**2 - 415*y**2 + 182*y**2) as o*y + u + a*y**3 + g*y**2 and give a.\nAnswer: -5148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*sqrt(98) - sqrt(98)) + 3)*2.\nAnswer: -28*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and 47578.3?\nAnswer: 71367.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j**2 + 5*j**2 + 11*j**3 + 18*j**2.\nAnswer: 11*j**3 + 80*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2.3. Let y = -22.1 + f. Let b = -24 - y. What is the nearest to 0 in -2, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + -2 + -6 - (-6 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1574046433 to the nearest integer?\nAnswer: 39674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -94*u**2. Let n(y) = -47*y**2. Let l(o) = -2*b(o) + 5*n(o). Let v(x) = -2*x. Calculate v(l(d)).\nAnswer: 94*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3317*f = -3316*f - 10*x + 62 - 5, -3*f - 4*x - 1 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cowcocoocoo. Give prob of sequence occc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(1\/6)*m))**(10\/11))**(1\/39) assuming m is positive.\nAnswer: m**(25\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418*o - 11 = -203*o - 204*o. Let m be 1 + 43\/(-19) + 1. Is o less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndssnknnn. Give prob of sequence dk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3051738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4972.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4*m = -57 + 55, 5*z = -5*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 2*w - 4, -4*q = 5*w - 21 - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1093377 (b) 64 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10, t + 0*l + 2*l - 39 = 0. Let a = t + -16. Let d = 19 + 18. What is the remainder when d is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjylfyyyyfjkyjfyjjy. Give prob of sequence lkjf.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104041.9 micrometers in nanometers?\nAnswer: 104041900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 15*r + 11. Let w be u(4). Sort w, -31, 3 in ascending order.\nAnswer: -31, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15417 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 5*i = -50, 4*a - 53*i = -49*i - 36 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + -10 - (7 - (14 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -2\/25, -273, 5, 9?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -2*x + 9*f + 10, -4*x + 20 = -5*f. Calculate the greatest common factor of x and 221.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -650 + 653. Solve -f - 3*z = -2*f + 8, p*f + 18 = -5*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 49. What is the units digit of (-62)\/q + (-2)\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*r**3 + 0*r**2 - r**2 + 3 - 2*r**3 wrt r?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 85 = 4*k, 7054*k - 7058*k = 8 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*l*p**3 - 538442*h**3*l*p**2 - 4*h**3*l - 12134*h**3*p**3 - 2*l*p**4 + 2*p**2 wrt p?\nAnswer: 6*h**3*l - 72804*h**3 - 48*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 15, 1\/3, 5\/3 in descending order.\nAnswer: 15, 5\/3, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 308, 317, 336, 371, 428, 513, 632, 791?\n\"Answer: y**3 - y**2 + 5*y + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:39 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/6)\/4*(-3 - -6). Suppose -h*l - 92 = -4*g, 64 - 246 = 3*l + 5*g. Let f = -32 - l. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -17. Let i = 41 + j. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47632025 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 3\/5, 2\/18913 in descending order.\nAnswer: 3\/5, 2\/18913, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -987, -1972, -2957, -3942?\nAnswer: -4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqvevqvquuevvce. Give prob of picking 1 q and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/(-70) + -1 + 3\/5. Solve -34\/7*k**2 + 6*k**4 - 14*k**5 - c - 48\/7*k + 146\/7*k**3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*z - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 9*g + 25. Let s be (2 - 6) + 3\/48*8*0. What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -369.59 + 339. Let q = k + 31. What is q rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(23\/(552\/(-16))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*q - 10*q - 55. Suppose -84 = -4*z - 12*v + 7*v, q*z - 105 = -4*v. What is the greatest common divisor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 2*c**2 - 6*c - 4. Let j be z(-4). Let k = 13 + j. Sort k, -12, -3.\nAnswer: -12, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 95, 135, 169, 197, 219?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 15, h: 5}. What is prob of picking 1 h and 2 x?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -w + 21, -3*w = -2*v + 1 - 8. Suppose -h = v*h - 35. Let j(r) = -h*r - 2 - 2 + 0. Let z(f) = -3*f - 2. What is -2*j(b) + 5*z(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Suppose -4*v = -5*v. Let l be o(v). Suppose -4*a - 5*i + 10 = 0, 5*a + l*i = 3*i + 31. What is the lowest common multiple of 4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2964\/(-9))\/((-2)\/9). Let v = 1613 + s. Suppose v = 18*o + 1115. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450934974 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -606401, -606390, -606351, -606272, -606141?\nAnswer: -605946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.33 and -0.7.\nAnswer: 0.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*w - 3*w - 2*w)*(1 + 4 - 3) - 3*w + 2*w + 3 + 3*w + (-4 + 3 + 5)*(194 + 157*w - 194) as s*w + o and give s.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 16 = 3*k, -2 = -2*t + 2*k. Let a = 4 - -11. What is the highest common divisor of t and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.02 + 6.92. Sort 0.5, o, -21 in ascending order.\nAnswer: -21, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34631, -33000, -30283, -26474, -21567, -15556, -8435, -198?\nAnswer: 9161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 114. Let v = -1339512.99955 + 1339550. Let u = v - j. What is u rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277231524 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -636, -1787, -4032, -7737, -13268?\nAnswer: -20991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvww when four letters picked without replacement from {k: 7, g: 4, o: 1, w: 3, c: 2, v: 1}?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 9*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g - 25. Let s be (1\/4)\/((-59)\/(-708)). Let z(n) = 73*n + s - 213*n + 71*n + 68*n. Give -6*t(o) - 51*z(o).\nAnswer: 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20513.\nAnswer: 73, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 527*m**3 + 22*m + 9. Let u(a) = -263*a**3 - 10*a - 4. Calculate -9*u(h) - 4*w(h).\nAnswer: 259*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 - 8*i**3 + 4*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 230032 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 + 477*r**4\/4 + 888*r**3 - 28203*r**2\/2 - 158661*r + 162129\/4 = 0.\nAnswer: -17, 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/60 + 5*y**4\/12 - 3*y**3 + 6*y**2 - 5. Let w be z(7). Which is bigger: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + 3\/(-15). Let h be (z - -3) + -1 + 12. Let h + 2*f**3 - 9*f**2 + f**3 - 2 = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - 5. Let m = i - -41. Suppose -8*a = -4*a + 16, -3*l = -2*a - m. What is the closest to -1 in l, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 8:38 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (19 + -16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7700 = 12700*m - 12920*m for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 125*i. Let l(o) = 47518*o**2. Give q(l(y)).\nAnswer: 5939750*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1777 and 14\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-23)*u*u**(-12)*(u\/(u\/(u*u*u\/(u\/(u*u**35*u))))*u)\/(u\/(u\/((u*u**(1\/9)\/u)\/u))*u))**(-15) assuming u is positive.\nAnswer: u**(-265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23687100 divided by -30564\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 24*z - 20. Let q be j(-11). Suppose q*y - 46 = -4*a, -99 = -5*y - 3*a + a. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2 - 92*z + 289. Let v(c) = 10*c**2 + 95*c - 290. Let i(t) = 4*v(t) + 5*x(t). Suppose i(f) = 0. What is f?\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47231579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.1 + 48.1. Let f = -16 + 9. Let k = f + z. Which is the third biggest value? (a) k (b) 0.1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 1)*(-3*k - 2 + 0*k + 0) - 93*k + 514*k + 137*k.\nAnswer: 537*k - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5249514?\nAnswer: 2, 3, 874919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 479 = 1663. Suppose 0 = m - 8*m + u. Calculate the remainder when m is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49556 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 560767632 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 67?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -10, 1006 in ascending order.\nAnswer: -10, 3, 5, 1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 17 = 3*i + 2*i, 14 = -3*i - 5*w. Let y be (i - -2)*4*(-2)\/(-4). Let b be (-2)\/2 + (-1 - -515) - y. Round b to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30876 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5453153\/16 - 355710. Let t = n + 14883. Calculate the common denominator of -53\/8 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 11*w**3 + 2*w**3 + 5*w**3 + 9*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-9)*c**(-5))**(5\/9)\/((c**(-5\/3)*c**2)\/(((c*c*c\/c**(2\/19)*c)\/c)\/(c\/c**(1\/3)))) assuming c is positive.\nAnswer: c**(799\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000145769 rounded to 6 decimal places?\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r - 19413 = -25930 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/3 - p - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17363 + 61*d - 34725 + 17362.\nAnswer: 61*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4563, -4591, -4621, -4653, -4687?\n\"Answer: -r**2 - 25*r - 4537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242.85 + -230.5644. Let o = 7.2843 - q. Let j = 5 + o. Round j to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 + 16*t - 8. Suppose -3*g = -7*g + 16. Calculate the remainder when w(-7) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2960268000 to the nearest 1000000.\nAnswer: 2960000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 143944*c + 2589984392.\nAnswer: 2*(c - 35986)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-50) + (-2)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**10\/1008 + s**6\/72 + 5*s**3\/3 + 4. Let v(f) be the third derivative of d(f). What is the third derivative of v(a) wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)\/(m**(-5)\/m) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**2 + 37*k - 33. Let d(x) = 22*x**2 - 92*x + 82. Let i(o) = 5*d(o) + 12*h(o). Factor i(s).\nAnswer: 2*(s - 7)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3879, -3634, -3383, -3120, -2839, -2534, -2199, -1828?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -2*q - 4185. Suppose 0 = 3*a - 6*a + q. Let n = -8 + 39. What is the greatest common divisor of n and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 190.3. Let u = w + -383.7. Let c = -480.99767 - u. What is c rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 + 1. Let r(k) = -440 - k**3 - 6*k**2 - 4*k**3 - 2*k + 435. Let m be ((-1)\/2)\/((-1)\/6). Suppose 2 - 5 = m*w. Calculate w*r(h) - 6*g(h).\nAnswer: -h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3824720097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 4, e: 1, i: 3, d: 1, v: 2}. What is prob of sequence vrv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 219297.66 months in millennia?\nAnswer: 18.274805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5059.71196322634 + 0.3\nAnswer: 5060.01196322634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*t**3 + 24*t**2 + 50*t + 12.\nAnswer: -2*(t - 3)*(t + 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7 - 81\/7*f + 81\/7*f**3 + 6\/7*f**2.\nAnswer: 3*(f - 1)*(f + 1)*(27*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2. Let y(b) = 4*b**2 + 50. Calculate y(x(k)).\nAnswer: 144*k**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*l**2 - 44*l**2 + 293 + 54*l**2.\nAnswer: -127*l**2 + 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-6)*16\/20. Suppose -y = s*u - 7*u - 15, -5*u = -2*y + 15. Suppose y = 6*v - 531 - 333. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*i + 2*i + 2 = 0, -4*i = -5*a - 5. Let u be (-27)\/a - (-30)\/(-10). Let w be u\/10 - (-20)\/(-50). Solve -3*o - 3 = -w*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grrg when four letters picked without replacement from ggrg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-34080)\/(-2712) - 12)\/(-3 - -48) and 7\/565.\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(72\/6)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = 0, -l = -2*c - 3*l + 40. Suppose 0 = 2*q - 140 + 2. Calculate the remainder when q is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/5*1*(-7)\/(182\/(-65))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.1625 millilitres to litres.\nAnswer: 0.1631625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18012589*i**4 + 44625557*i?\nAnswer: -216151068*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = 0. Suppose 5*c + 55 - 35 = 5*o, 4*c + 18 = 5*o. Put 13, b, c in descending order.\nAnswer: 13, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -49*o**3 - 26*o**2 - 11*o - 6. Let h(i) = 17*i**3 + 9*i**2 + 4*i + 2. Calculate 11*h(r) + 4*w(r).\nAnswer: -9*r**3 - 5*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 411 + 14*h + 0*h - h**2 - 409. Let p be l(14). Solve 5*b - 16 = 2*q, 5*q - q = -p*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -65*c - 1044. What is the remainder when w(-45) is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o**2 + o**2 + 5*o**2)*(2 + 3 - 3)*(2509 + 37*o**2 - 2509).\nAnswer: 1554*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156307 is divided by 31258?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 3*m**2 - 4*m - 6. Give g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*((sqrt(19) - (-2*sqrt(19) + 0 - sqrt(19))) + sqrt(19) + 5))**2 + -3.\nAnswer: 510*sqrt(19) + 4561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -0.59. What is h rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and (-9 + (-252)\/(-27))\/(3\/30483)?\nAnswer: 16935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.6000103 - 9.6. What is u rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gslltlglllawagll. Give prob of picking 2 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -1\/3*k**3 + 7*k + 0*k**2 - 12. Let v be (0\/(1\/(-1)))\/2. Give q(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -127?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*c**2*p + 7*c**2 + 17*c*p + 7*p wrt c.\nAnswer: -30*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:16 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/65, 3\/10, -2\/5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*w - 17394 - 17006 = -595*w. Let r(x) = 12*x + 4. Let c be r(5). Calculate the highest common factor of c and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 167. Let q = t - 72. Calculate the highest common factor of q and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q + 5*q - 1 + 1. Let i(j) = -j + 2. Calculate -i(d) - 2*p(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*i = -208 + 41, 5*i + 43 = f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8272435752?\nAnswer: 2, 3, 7, 16413563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 4*p**2 - 4*p + 2. Let m(u) = -u - 6. Let v = -25 + 17. Let f be m(v). Let w be j(f). Which is bigger: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from bbllbsl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 0 - (-4)\/(-2). Find the common denominator of (25\/(-2) + -3)\/((-19)\/h) and (-3)\/27*41*1.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102590209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8543173 is divided by 81.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 31. Let w be u(23). What is the tens digit of (7 + w)\/((-3)\/1659) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 12. Let g be (0 - 5\/2)*32\/40. Let o(u) = 3*u**2 + u - 6. Let z be o(g). Solve -z*y + 3*y = -3*b, -5*y = p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-580)\/261)\/((-12)\/45) - 12) + 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 4*x**4 + 2*x**4 + (-x**4 + x**4 - 2*x**4)*(-3 - 1 + 6) + 3*x**4 + 1 - x**4 - x**3 - x**4.\nAnswer: -4*x**4 - x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*(j*j**11)\/j)\/j)**(-25)\/((j*j*j**17)\/((j\/j**(-1\/26))\/j)) assuming j is positive.\nAnswer: j**(-8943\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4098 + -3790. What is the remainder when a is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -67. Let g(l) be the second derivative of 0 + 2\/7*l**2 + k*l + 1\/42*l**4 + 1\/7*l**3. Factor g(p).\nAnswer: 2*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 201 = -224. Let g be (1\/(-21))\/(((-125)\/60)\/f). Suppose 2\/7*n - 4\/7*n**4 + g*n**2 + 0*n**3 - 2\/7*n**5 + 0 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {y: 10, w: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + -2.6. Let o = 3 + d. What is the closest to -0.03 in -3, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*f - 3*f**3 - 288 + 5*f**3 + 46*f**2 + 221*f + 91*f.\nAnswer: 2*(f - 1)*(f + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-9))\/(2\/(-6)). Let b = u + 14. Suppose h - 455 = -5*z, -b*z + h = -121 - 243. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b**2 - 6*b + 4. Let v(j) = j**2 - j + 1. Let u(y) = n(y) - 2*v(y). What is the tens digit of u(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -12, -13, -16, -21, -28, -37?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22157084 rounded to the nearest one hundred thousand?\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 + 5.6. Let c = 28.9 - 33. Let s = 4 + c. Is s smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 13*l. Let s be p(-11). Suppose 3*x - 26 = 3*h + s, 2*x - 32 = 3*h. Let t be (-1)\/(-4) + 2\/(-8). Solve 0 = 4*r - t*r + x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1559*q - 406*q**2 + 3119*q + 1710*q**2 - 1560*q.\nAnswer: 1304*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1010 + 1009. Suppose 5*p + 40 = 3*s + 3, -4*s = -16. Which is the nearest to -0.2? (a) -4\/5 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose t*p = -p + 12. Suppose -26 = p*f - 4*w - 6, 5 = w. Solve 0*q - 4*q + 12 = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5 - 232485*z**4 - 4508404746*z**3 - 166538147718*z**2 - 877527065331*z - 1255445964117 = 0. What is z?\nAnswer: -38729, -31, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -46, -85, -138, -205, -286, -381?\n\"Answer: -7*a**2 - 4*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (5654\/2)\/(3 + -3 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3473041 and 69927?\nAnswer: 10419123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3698 divided by -4353.\nAnswer: 3698\/4353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*x - 2*w - 40, 2*x = 4*w - 6. Suppose -2*o - 10 = -2*g, -o + 4 = g - x. What is the greatest common factor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6171*o**5\/5 + 1351451*o**4\/10 - 690933*o**3\/10 - 1351561*o**2\/10 + 678591*o\/10 + 11 = 0. Calculate o.\nAnswer: -110, -1, -1\/6171, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002221121002 (base 3) to base 10.\nAnswer: 589466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/((j**(-10)*j)\/j))\/j*j*j)\/(j\/j**(2\/117)))\/((j**(-5\/6)*j*j)\/j**(-4\/21)) assuming j is positive.\nAnswer: j**(17461\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 10) in base 2?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/72 - 17*g**3\/12 + 13*g**2\/3 - 2*g - 125. Find x, given that j(x) = 0.\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 2 j when four letters picked without replacement from sxpmj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geeg when four letters picked without replacement from {g: 11, c: 1, e: 8}.\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 1381562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6515 and -0.03.\nAnswer: 6514.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 364.9009 - 365. Let k = j - -0.098. Round k to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1026 - -0.8974. Let r = 3 - 3.4. What is the fourth smallest value in -0.04, t, r, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 3. Let q be o(6). Let h be (q\/2)\/((-120)\/224). Which is smaller: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*h = -10530, 0 = f - 30*h + 34*h - 2103. What are the prime factors of f?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = f - 4*f, -2*a = -3*f + 1. Let d(r) = 13*r**2 + 4*r - 1. Is d(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 62555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 57*u - 403. Let l be c(15). Let j(r) = -14*r**2 + r + 1. What is j(l)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 - 5 = 0. Suppose -t + g - 2 = 0. Suppose r - t = 3. Solve -r*m = -20, -d + 5*m - 13 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201c61 (base 15) in base 16?\nAnswer: -1744b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/392 (b) 0.1 (c) 0 (d) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6195760 is divided by 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1806*p = -1704*p + 918 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 4*d - 2*d)*(1550 - 5337 + 1527 + 1532).\nAnswer: 7280*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + b486?\nAnswer: b48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*z**2 + 39*z**2 - 125*z**2 - 3*z**3 + 39*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*x + f - 8, -29 = 4*x - f. Does 8 divide 21\/28 + (-58)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01464 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9504, 37996, 85456, 151884, 237280, 341644?\n\"Answer: 9484*a**2 + 40*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7970 + 7970. Sort -0.4, 0.3, b, -0.01 in descending order.\nAnswer: 0.3, b, -0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110110100 + -110?\nAnswer: 1111110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.8. Let u = 41\/30 + -7\/10. Let o = 7 - 8. Which is the closest to o? (a) u (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + g - 3*g)*(-3*g + 4*g - 3*g) - 22*g**2 + 11*g**2 + 18*g**2 - g.\nAnswer: 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3438 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 12, 18, 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 217942 + 99383 = 0. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**5\/70 - l**4\/14 - l**3\/7 - l**2\/7 + 4*l + 1. Let n(m) be the first derivative of d(m). Let n(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -19*y**2\/2 + 136*y - 64. What is the least common multiple of 26 and f(6)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**4\/12 - 4*y**2. Let m(u) = 0*u**2 + u**2 + u**2. What is m(h(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2628 divided by 657.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 88 = 5*f, -2*f = -3*r + 31. Let c be (-4)\/(-2)*(-10)\/f. Sort 0, 0.4, c.\nAnswer: 0, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -2. Let p = 0 - c. Suppose p = 2*j + 2*j. Solve -3 - 5 = -j*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 322, 314, 296, 262, 206, 122, 4, -154?\n\"Answer: -f**3 + f**2 - 4*f + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-44 - -26) + (-8 - -72))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -503626689 take away -26.9?\nAnswer: -503626662.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - 0.27. Let y be (-2 + 3)*(5 + 3). Let k be 3\/((-2)\/y*-3). Which is the closest to -2? (a) k (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7287959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:27 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - h + 34, 2*t - 46 = 2*h. Suppose -3*x - 4 = -t. Find the second derivative of -19*v - 22*v**5 + 26*v**x - 18*v**5 wrt v.\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 + 8*d - 8. Let b be v(6). Suppose -h = -w - 1 - 0, 3*h = 2*w + b. Let j be ((-4)\/h)\/(24\/(-9)). Put j, 3, 0.5 in decreasing order.\nAnswer: 3, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-13 - (-19 - ((-27 - -12) + 22)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1)*-5*3*1895168\/4224. Round x to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -971.75, 6, 2, -5, -1, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from iejiijijjjirdje.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*w + 19. Suppose b = w*r - b + 8, -2*r = -5*b + 20. Suppose -s + m + 7 = r, 5*s - 35 = -0*s - 5*m. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 9*o - 2. Let a(x) = 2*x**3 - x**2 + 3*x - 2. Let d(u) = 4*u**3 - 2*u**2 + 7*u - 5. What is o*d(k) + 5*a(k)?\nAnswer: 2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16327*l**6 + 76511*l**2?\nAnswer: 1959240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**6\/30 - 5399*s**4\/6 - 2251*s**3\/2 + 11309*s. Find the second derivative of b(l) wrt l.\nAnswer: -12*l**2 - 21596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20704, 40497, 60290, 80083, 99876, 119669?\n\"Answer: 19793*y + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193.8088 - -137.119. Let u = w - -0.0722. Let r = -330.9741 + u. What is r rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48358*n**2*u**2 + n**2*u + 3*n - 7070*u wrt u.\nAnswer: -96716*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -119 = -742.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + v + 4, 291*b + 4 = 293*b - v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963 is divided by 1769?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 750632089 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.32976 years in decades?\nAnswer: 3.432976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10954133 (base 10) to base 3\nAnswer: 202121112020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 8)*(-6*h - 7*h + h + 5*h + h - 5*h - 2*h + 3 - 3 + (0*h - 2*h + 0*h)*(-4 + 1 + 5)) + 0*h + h + 0*h.\nAnswer: -254*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4 - 46*g**3 + 1162*g**2 + 1945800*g wrt g.\nAnswer: 24*g**2 - 276*g + 2324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, -762, -3034, -7574, -15138, -26482, -42362, -63534?\n\"Answer: -126*a**3 + 122*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 - 32*w**2 + 41*w + 5. Give b(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*i = 334, 2*y + 2*y + 5*i = 337. What is the remainder when y is divided by 17\/(1\/((-3)\/(-3)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {q: 3, b: 1, o: 2, m: 1, z: 3, x: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74296043, 148592096, 222888139, 297184166, 371480171, 445776148?\nAnswer: 520072091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*((sqrt(112) + (sqrt(112) + 0 - sqrt(112)))*-2 + sqrt(112) + -3 + -4 + sqrt(112) + -2*sqrt(112) + 0))**2.\nAnswer: 1792*sqrt(7) + 7952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 20 = -0*o, 0 = -5*z - 3*o + 10. Let c(u) = 0*u + 3*u + 1 - 3*u + 59*u**2. Let i be c(z). What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.27 and 0.08.\nAnswer: -13.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 11) to base 8\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*k - 32 = 0, 3*y - 144*k + 27 = -141*k. Let i(r) = r**3 + 7*r**2 + 2*r + 4. Determine i(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 6)*(0*u**3 + 3*u**3 - u**3)*(1 - 11 + 1)*(0 - 1 + 3)*(-657*u + 1089*u - 589*u).\nAnswer: -28260*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3672225173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1405290469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -71*i**6\/60 + 128*i**3\/3 + 241*i**2. What is the first derivative of n(j) wrt j?\nAnswer: -426*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 5)\/4 + (2 - -34). What is the derivative of 14*w + p*w - 27*w + 4 wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18039765?\nAnswer: 3, 5, 673, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxbexxbexbeeneeeeene. What is prob of sequence nxn?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 638 and 22127?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(52)\/(6*(sqrt(64) - sqrt(4) - sqrt(4))) + 4.\nAnswer: -sqrt(13)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c + 24, 0 = -6*y - c + 1424 - 1364. Let x = -0.99 + 1. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -13*x. Let m(p) be the second derivative of 55*p**3\/2 - p**2 + 3701*p. Give y(m(b)).\nAnswer: -2145*b + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/10)\/((-6)\/20). Let n(j) = -j**2. Let u(a) = 7*a**2 - 3*a - 3. Let g(v) = -6*n(v) - u(v). Let h(l) = 2*l**2 - 4*l - 4. Calculate i*g(y) - 3*h(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**3 + 8*p**2 - 58*p + 151. Determine l(4).\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m**3 - 3*m**2 - 61548*m - 2168790.\nAnswer: -12*m**2 - 6*m - 61548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*i**3 + 3*i**2 - 374*i wrt i?\nAnswer: 120*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-18)*-1)\/(20\/24)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:28 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05 - -2.05. Let o = -544 - -543. Which is the fourth biggest value? (a) 0.5 (b) o (c) r (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3439668953?\nAnswer: 7, 31, 2593, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*b - 323*b + 649*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/6, -9, -3, -24.4, 3 in ascending order.\nAnswer: -24.4, -9, -3, -1\/4, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1623\/1745 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(1 + -2) + 93160\/15344\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -350, 5920, -10 in decreasing order.\nAnswer: 5920, -10, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (72\/730)\/((-1)\/(-20)). Let r = -3920\/803 + g. What is the common denominator of r and -87*-1*1\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(72195\/(-8022) + 2 - -7).\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3790*b + 50665 - 85234 - 79131 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23342*-10\nAnswer: 233420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 316591.\nAnswer: 63318.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -240*p + 3. Let o be l(2). Let f be (-12872)\/(-3)*o\/(-4). Let u = -911662 + f. Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18685396 and 20?\nAnswer: 93426980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18414, 36822, 55226, 73626?\n\"Answer: -2*a**2 + 18414*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-126)\/(-8))\/(12\/256). Let t = -173 + v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -6342?\nAnswer: 1902.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1895 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 5, s: 1, h: 1, g: 1, v: 4}. Give prob of picking 1 g and 1 v.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12393 - 12368.764. What is m rounded to one decimal place?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8231 is divided by 323.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*f**4*n - 28990153*f**4 + 490162826*n wrt f?\nAnswer: -20*f**3*n - 115960612*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3))**(8\/3))**(-2\/15) assuming d is positive.\nAnswer: d**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13076420 a multiple of 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 + 374622*f + 23390273814.\nAnswer: 3*(f + 124874)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + (-43 - 37) + -122 + 2 + -2?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19323*-3183.\nAnswer: 61505109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 1332409?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 9*n + 6. Let u be k(9). Let g be (12\/10)\/((-4)\/(-10)). Solve -f = 3*d - 4 - 0, g*f = -u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -36\/5, -72, 7\/5, -0.2, -5?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 85 - 48 - 3 + 3*r in the form l + c*r and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -5 (c) 3 (d) 12.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223545 to the power of 1\/2, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3781 or 3235?\nAnswer: 3235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**8\/20160 + q**7\/3024 + q**6\/1440 - 7*q**4\/6 + q. Let v(k) be the third derivative of c(k). Factor v(r).\nAnswer: -r*(r - 3)*(2*r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -27*c**2. Let v(m) = 7*m**2. Give -4*r(i) - 15*v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129 and 747009?\nAnswer: 32121387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(56\/315) - 5. Is k bigger than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22623355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9479*g - 9576*g + 19058*g + 4 + 2 - 6.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (sqrt(891) + 1 + sqrt(891) + sqrt(891) + 1)**2 + (2*(-1*sqrt(891) + -1))**2)*6.\nAnswer: 3240*sqrt(11) + 208566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + k)*(-3232 + 2055 - 4495 - 2295).\nAnswer: 15934*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 19. Let t = 11 - r. Let h = 13.99934 - t. What is h rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -530 - -213. Let z = l + 317.1. Let d = 23 - 16. Which is the smallest value? (a) z (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/16*-12 + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 - (-26)\/(-13). Let m = 1 - v. Suppose m*h = 8*h - 12. Calculate the smallest common multiple of 8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-22)*(-5654)\/1028\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 1508.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xphpbpxxoppo. Give prob of picking 4 p.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 42 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31935, -127882, -287833, -511788, -799747, -1151710, -1567677?\nAnswer: -2047648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/8 - 34051*r\/8 + 1399453\/4 = 0.\nAnswer: -34133, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 26. Suppose -6*c = -4*c - a. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 - 2 = 0. Suppose -8 = z*b + 5*g, -g - 4 = -0*g. Solve -3*v = -b*a + 24, -5*v + 8 = a + 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 2*y + 4. Let a be l(3). Let q(h) = -3*h**3 - h**2 + h + 1. Calculate the remainder when 1\/1 + (2 - a) is divided by q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 - 0 - (-93)\/(-124). Sort -4\/3, -0.06, v, 2\/7.\nAnswer: -4\/3, v, -0.06, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = c + 3*k - 2, -3*k + 12 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 - 1218 = 70*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-646))\/((-11*(-9)\/99)\/2)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from ujkjuubbkzubbu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.05 + -4. Let j = -3 - -2. Let n(s) = -81*s + 1131. Let x be n(14). What is the fourth smallest value in h, 0.4, j, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1771614, -7086416, -15944426, -28345650, -44290094, -63777764, -86808666, -113382806?\n\"Answer: -i**3 - 1771598*i**2 - i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 12\/5, 67?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -38, 0, 74, 184, 330?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 38 = -3*r. Let h = 26 + -22. Solve 16 + r = -h*l + 2*n, 3*n = 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728 = 123*h + 2696 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8998 = -5131*v + 293731 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -321?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 40*m**2 + 5270*m - 70547. Determine z(-144).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 * 0.4\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = n - 2642, 3*x = -4*n + 5560 + 4824. What is the lowest common multiple of n and 6?\nAnswer: 7806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x**2 - 2\/3*x + 0 + 2\/3*x**3 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52\/(-4)*-3 - 0 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.8 - 20.8. Which is the nearest to h? (a) -3 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/13 (b) -0.406 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 3*k - k)*(-k**2 + 0*k**2 - k**2) + (-10941 - 4155 + 3538)*(-2*k**2 - k**3 + 2*k**2) to the form b*k**2 + l*k + v + n*k**3 and give n.\nAnswer: 11556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1\/(0 - -3). Let s(f) = -8*f**3 - 6*f - 5. Let z = 53 - 47. Let n(b) = -1 + 5*b**3 + 23*b - 24*b - z*b**3. Give o*s(v) - 6*n(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 3, 1, -4278 in increasing order.\nAnswer: -4278, -172, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/120 - c**4\/6 - c. Let i(p) be the third derivative of g(p). Let a(v) = 2*v + 6. What is a(t) + 6*i(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115 take away 6170272?\nAnswer: -6167157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1481*z + 4904. Give d(4).\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125570633323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-1 + 25))\/((-1)\/(-1)). Which is the nearest to 1? (a) u (b) -0.2 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - z + 17 = 2*z, 0 = -5*u - 3*z + 29. Suppose -3*r + 2*o = -8*r + 876, 4*r - u*o = 712. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 + 4*p**3\/3 + p**2\/2 - 5*p + 5. Let q be v(-3). Suppose 6*i = 11 + q. Sort i, 5, -3 in descending order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from pppopppop?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228811 times -0.08?\nAnswer: 98304.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*z**6 - 19*z**5 + 870*z**3 - 46616138*z**2 wrt z?\nAnswer: -1320*z**3 - 1140*z**2 + 5220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15291766 is divided by 420.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58820 and 172.\nAnswer: -58648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 11:35 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -232*m**3*r**5 - 4*m**3*r + 523*m**3 - 4*m*r**2 - 102*r**5 - r wrt r.\nAnswer: -13920*m**3*r**2 - 6120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwc when three letters picked without replacement from wccwwcwwcc?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(110) - -6*(sqrt(110) + 1*sqrt(110) + sqrt(110))) + sqrt(110) + (sqrt(110)*1 + sqrt(110))*3)\/(-5*sqrt(40)\/sqrt(4)*-6*4).\nAnswer: 13*sqrt(11)\/60 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 4*u**2 + 0*u**2)*(3252*u - 5 - 3177*u + 5) in the form b*u**2 + x + p*u**3 + s*u and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30))\/(((-36)\/5)\/(-9)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, -8, 0.1, -0.3 in ascending order.\nAnswer: -8, -6\/5, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:32 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 775 divided by 7.\nAnswer: 775\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (0 + -8) - 34) + 9 + -19?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*s + 2*c, -3*s + c - 20 = -78. Find the common denominator of (6 - 4)*64\/s and 7\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93103580659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171982570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -86294582, -86294583, -86294584?\n\"Answer: -m - 86294581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3604481 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35640471 and 53949.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 104 = -3*x, -18*q + 8 = -14*q. What is the highest common divisor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.2 (c) 0.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 times -0.038\nAnswer: 0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = 2*y - 2*r, y - 8 = -2*r. Suppose 4*x - 12 = 3*x + 3*q, y = 2*x + 5*q + 31. Is 15 a factor of 199 - (15\/x + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116298 and 132912?\nAnswer: 930384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:19 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 14*s - 12. Suppose -2*i - s*w = -14, -i - 4*i - 3*w = -29. Solve -i*z = -3*g - 8, -2*g + 3*z + 0 = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 13. Let a be v(0). Suppose -t = j - 14, -2*t = 2*j + 3*t - a. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k + 242. Let d be n(-18). Determine h, given that 3*h**5 + 45*h**3 + 5*h + 36*h**2 + d*h**4 - 2*h + 10*h**4 + 9*h - 6*h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 690*y + 4 - 1 - 1347*y - 1.\nAnswer: -657*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49525824*a + 49062643 wrt a.\nAnswer: 49525824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1524*k**2*p**4 + 3*k**2*p + k**2 + 12*p**4 + 1910*p wrt p?\nAnswer: 18288*k**2*p**2 + 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(19*54\/1197).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4\/5, -31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3813812 to the nearest 1000.\nAnswer: -3814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27913732 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1746*d**2 - 3527*d**2 + 9*d + 1766*d**2 + 1 to n + g*d + t*d**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/24 + 3*c**3\/2 + c**2. Let y be h(4). Let p be (-3)\/2*(-5)\/(-60). Sort y, 3, p in decreasing order.\nAnswer: y, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -110 and -23017971.8554.\nAnswer: -23018081.8554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.2, 3, -17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 265*j - 1648. Determine k(5).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 59\/(-2) - 18\/36. Let o = p + 34. Let i be -1 + o + -4 + 3. Solve m - i = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.26? (a) 0.09 (b) -9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*w = 2*w + 10, -164 + 144 = -2*n + 24*w - 21*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-4) + 2)*-10. Suppose 2*v = -g - 8, 23 = -g + l*g - 3*v. Suppose -g*x = -15 - 15. Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.83391965 - 1.1109476. Let t = 0.1770276 + v. Let q = t + 0.1. What is q rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2630762 meters to micrometers.\nAnswer: 263076.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/54)\/(2177\/1866).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-4 - -3) + 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 354150 + -1425?\nAnswer: 352321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -34*o + 186. Let v be a(15). Let y = 395 + v. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48688 by -12172.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 426 + -3?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 66438.\nAnswer: 265752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -210.6?\nAnswer: 6.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.09 + 2.2. Let i be (-14)\/((-686)\/(-259)) - -5. Which is the smallest value? (a) f (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18417, 147304, 497137, 1178388, 2301529, 3977032?\n\"Answer: 18412*u**3 + u**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -300232044?\nAnswer: -300232102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/21 and -31\/582.\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4619978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.12184.\nAnswer: -0.012184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 361686\/8 - 3 - 105\/(-84) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 2005126354?\nAnswer: 2005126355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 0.0053?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-9 + 8) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1430)\/(-117))\/55*5\/((-110)\/18).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101355 is divided by 101331?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5463 divide 587516430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 689414 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 315 - 2519\/8. Let k(i) be the third derivative of 10*i**2 + 0 - 1\/240*i**5 - 1\/24*i**4 - u*i**3 + 0*i. Factor k(l).\nAnswer: -(l + 1)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40779161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 522.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m = -10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 12:45 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 85c (base 15) in base 10?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u - 20. Let a(r) = -74*r + 14. List the prime factors of a(u).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/28)\/((-1170)\/(-13104)). Let s(w) = -w**3 - 17*w**2 - 22*w - 46. Determine s(t).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9110416?\nAnswer: 2, 7, 81343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*y**6 - 775*h**3*y**3 + h**3*y**2 - 477*h*y**2 wrt y?\nAnswer: 240*h**3*y**3 - 4650*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97053701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 24471678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 + 14. Let l(g) = 1250*g**3 + 12*g**2 - 3342. Let p(m) = l(m) - 12*t(m). Differentiate p(q) with respect to q.\nAnswer: 3714*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 91. Let u = z + -9. Suppose 23*g - u*g + 6 = 0. Solve 0 = g*a - 6*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65679 is divided by 223?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135157 + -69805. What is the ten thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24278731 is divided by 6069672.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let p be (-3)\/6*-6 - v. What is the third derivative of 2*w + 4*w + w**p - 6*w + 4*w**6 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 54*t + 14. Let k be l(3). Suppose 10*x = -224 - k. Suppose -4*f = 4*a + 164, 4*f + a = -68 - 96. Which is bigger: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1834, 2912, 4732, 7294?\n\"Answer: 371*y**2 - 35*y + 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 390 = -2*c, 0 = w - 2. Let d = 365 + c. Calculate the remainder when d is divided by (2 + 8)*(-10)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 3*d - 4*d + (-4 + 2 + 1)*(-d + 2*d + 0*d) - 2*d - 2*d - 3*d - d + 1 - 1.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3139, -2740, -2353, -1978, -1615?\n\"Answer: -6*l**2 + 417*l - 3550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4525177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36397233.\nAnswer: 3, 29, 37, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139d9 (base 14) in base 16?\nAnswer: bddb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -36?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 42*m**3 + 9*m**2 - 176*m + 1031. Is z(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1 + 0?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -75*x**2 - 56*x. Let q(f) = 34173*f. Give b(q(u)).\nAnswer: -87584544675*u**2 - 1913688*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjjdjo. What is prob of picking 1 d, 2 j, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 257 in increasing order.\nAnswer: 4, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1436838 and 1308.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - a - 1. Let m be u(-1). Suppose -2 = -m*n - 2*q, -3*n + 8*n - 5*q - 45 = 0. Suppose n*l + 38 = 7*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1156*y - 1204*y + 2448. Solve y*n + 81 + 72 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 + 46\/(-8). Let m(k) = -5*k**2 + 6*k + 6. Let o(r) = -4*r**2 + 5*r + 5. Determine c*o(t) + 5*m(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73.04 - -49. Let v = a - -0.04. Let z = v + 23.99999976. What is z rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/9)\/(8\/(-36)). Suppose b*s + 26 = 106. Solve -5*d + 35 = -4*r, -r + 0*r = -5*d + s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4 = -2*d - 4*y, -4*y = d + 6. Suppose 0 = d*r - 6 - 32. Calculate the remainder when 105 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -483 - -468. Which is the second smallest value? (a) -0.9 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1 + -1)\/(-1). Suppose t = -m - 0*m. Let b = -10 - -9. Is m greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/64 and -95\/168.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33146816 is divided by 1627.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.2 (c) -0.28 (d) 1 (e) -1.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -24.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -15, -62, -161, -330, -587, -950?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 - -2.5. What is the fourth smallest value in d, 10, -4\/3, 3\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1378 + 1378.4. What is the nearest to 0 in 10, m, -3, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1728 - -1727.9. What is the nearest to 0 in 2\/7, -3, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4459.698cm?\nAnswer: 0.04459698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 + 6*i - 5. Let z be s(2). Put z, -2, 0 in decreasing order.\nAnswer: z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 845603?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -25*n**3 + n**2 + n. Let j be r(-1). Let k = j + -26. Sort 5, -2, k in decreasing order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.01, 18, -5, 1, -15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*s**4 + 83*s**4 - 36*s**4)*(-2 - 5 + 3) to the form j + f*s + o*s**2 + h*s**3 + i*s**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/((-48)\/(-42)) - 6. Let p be (x + -4 + 3)\/2. Solve -i + 4 - 5 = p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r + 3*r - 10*r - 12 + r. Let v be h(-16). Solve 8\/9*w + 34\/9*w**3 + 0 + 10\/9*w**v + 32\/9*w**2 = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 5*z**2 + 8*z - 3. Suppose 0 = 19*k - 12*k - 42. Give f(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. What is the highest common divisor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(125) - sqrt(125))*-4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y**3 + 12*y. Let u(f) = -3*f**3 + 13*f**3 + 2*f - 6*f**3 - 8*f. Let p(a) = 5*u(a) + 3*z(a). Find the second derivative of p(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 62 = 0. Let d = p - -1052\/17. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11960 divided by 26?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59944 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -950, -2623, -5398, -9263, -14206, -20215, -27278, -35383?\n\"Answer: 2*r**3 - 563*r**2 + 2*r - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -3*sqrt(3))*3*1 + (sqrt(27)*6 - 5*(sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 1\/12*r**4 - 240*r**2 + 0 + 43\/6*r**3 + 0*r. Determine o(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008662086627 to six decimal places.\nAnswer: -0.008662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/7 + 3*10\/(-15). Let v be (-192)\/(-572) - 1\/((-26)\/(-4)). Sort -1\/3, v, 1\/2, s in decreasing order.\nAnswer: 1\/2, s, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s + 5. Suppose m - 11 = 10. Suppose -c - m = -3*u, 2*c + 7*u - 2*u = -20. Does 34 divide j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 2*k - k)*(4 - 5 + 3) + k + 0*k - 4*k + (-2*k + 3 - 3)*(-3 + 6 - 2) + (4*k - 3*k + 3*k)*(4 + 3 + 3).\nAnswer: 37*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5026*c + 31324 = 78784 + 74113 + 114649 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -279, -41, 621, 1923, 4081, 7311, 11829, 17851?\n\"Answer: 36*n**3 - 4*n**2 - 2*n - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 29*n - 59. Let y be f(7). Calculate the greatest common factor of y and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-16) - (-60)\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/24? (a) -3 (b) 1\/23 (c) -5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide (-48)\/3 + (-1 - -4442)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.157*-0.5.\nAnswer: 3.0785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1529083?\nAnswer: -611633.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/39 (b) -1\/4 (c) -0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*r - 215*r**2 - 30*r - 21*r - 35*r + 97*r to the form x*r**2 + d*r + u and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f*f\/(f\/(f*f*f**(-2\/51)))*f*f)\/f)**(-3\/7)*(f**(-18))**(2\/51) assuming f is positive.\nAnswer: f**(-439\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/26400 and -107\/21600.\nAnswer: 237600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -c9da (base 15) to base 4\nAnswer: -22123222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7415440 divided by 1483088\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-2)\/20)\/(126\/(-32) - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2334 - -3676. Is 61 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4790 - -4787. Put d, 2, -1\/22 in increasing order.\nAnswer: d, -1\/22, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 116806370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, 0, 41 in increasing order.\nAnswer: -5, 0, 2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5316)\/8*2 - -4. Let z = b - -75527\/57. Is -1 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/340)\/(545\/(-5450)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 times 212\nAnswer: 10.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2047375 and -253.\nAnswer: -517985875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1687 - -2176. What is the remainder when l is divided by 472?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 1. Let w(p) = 5*p - 2. Let i(x) = 8*w(x) - 12*y(x). Let k(f) be the second derivative of f**3\/6 - 4*f. Give i(k(b)).\nAnswer: 4*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 5*m + 2. Let t be c(-5). Suppose -4*x + t*x + 6 = 0. Solve -y - 12 = x*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -499.05142 rounded to the nearest integer?\nAnswer: -499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13745 and 64220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0 - 18. What is the units digit of 2\/5*(1 - r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, 1, 1, -5, -17, -35, -59?\n\"Answer: -3*z**2 + 15*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 178*y + 2984. Calculate r(-16).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 67. Let h = 29 + q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 737 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*2 + sqrt(125))*6 - 1*-1*sqrt(125).\nAnswer: 95*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6203353 (base 7) in base 13?\nAnswer: 1cc1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irir when four letters picked without replacement from {r: 7, i: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8 - 14 + 5 + 573*j. Let r be s(1). Suppose -r = -c - 3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1096 and 10138.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 765*s**2 - 1520*s - 20.\nAnswer: 5*(s - 2)*(153*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -358, -533, -706?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n**2 - 4*n + 1. Let x(t) = -3*t**2 + 5*t**2 - 3*t**2 - 4*t. Let y be x(-3). Give o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2080 bigger than -2130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -51*w + 7595. Calculate j(141).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*v - 2*l - 23, 0 = -2*v + 3*l + 24. Let q(h) = -5*h**2 - 8*h - 2. Let d(c) = -4*c**2 - 7*c - 2. Determine v*d(t) - 5*q(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.018 - 19.982. Let d = y - -19.9999935. Round d to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153431 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + c?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -26*m**2 - 58*m + 61. Give c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1613)\/(-6) - (-2 + -1). Let u = -289 + r. Find the common denominator of (-42)\/594 - -2*1\/11 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110916761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 311748 divided by 1163\nAnswer: 311748\/1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t - 43. Let q be h(0). Let z = 63 + q. What is the smallest common multiple of 2 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 57 = 4*i + i, 2*a - 30 = -4*i. What is the lowest common multiple of a and (-1*1)\/((-214)\/1926)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58056 and 445096.\nAnswer: 1335288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3296796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2320, -268, -2 in ascending order.\nAnswer: -268, -2, 2320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 39.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*n - 2, -4*n - y - 4*y = 9. Let s be (-1*4 - n) + 6. Let z(x) = -x**2 + 3*x - 1. Let w be z(s). What is the smallest value in w, 0.4, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3747 is divided by 849.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.939484403 - -2.027?\nAnswer: 11.966484403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280.1103 weeks to hours.\nAnswer: 47058.5304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 4*b - 44, -t - 160*b = -157*b - 29 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 - 18\/(-4). Let w(o) = 52*o**3 - 5*o**2 + 6*o - 5. Let i(j) = -j**3 + j**2 - j. Let g(s) = 2*i(s) + w(s). Is g(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let d = 5 - 3. Let c(x) = -d + 5 - 1 + x**2 + x. Let h be c(0). Calculate j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05406818477 rounded to three decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -77509 divided by 23?\nAnswer: -77509\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -37, -25, -19, -25, -49?\n\"Answer: -d**3 + 6*d**2 + d - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26527393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2 = 3*x - 2*x, 2*x + 4 = 0. Suppose m = 5*h - h - 2*y - 18, 4*y = -20. Let r be h\/(-6) + 10\/3. What is the second biggest value in 3\/4, r, -2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (190\/(-90))\/(-19)*-6*(-1)\/8\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82255 or -82253?\nAnswer: -82255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/35)\/(3\/(-14)). Suppose 13 = 4*x - m, 5*x - 2*m - 20 = -0*m. Suppose u - x = l. Solve -3*w - 1 + u = -5*s, 2*s + w + 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2. Let s(m) = -26*m + 80*m - 51 - 33*m - 25*m. Calculate y(s(j)).\nAnswer: -48*j**2 - 1224*j - 7803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 20227.507 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-27)\/(c**(25\/3)*c))\/(c**(-3\/34))**16 assuming c is positive.\nAnswer: c**(-1781\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(51)\/sqrt(3) - sqrt(17)) + -5 + sqrt(272) + 1)**2 + (((sqrt(374) - sqrt(374)*2) + sqrt(374))\/sqrt(11))\/(1*sqrt(162)).\nAnswer: -32*sqrt(17) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = t. Let m be (-2 + 11)\/(-3) - t. Let l = m - -9. Solve 4*q + 4*c - l = 0, 2 + 0 = -3*q - 2*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -0.05, -291\/169, -4, -1\/4 in decreasing order.\nAnswer: -0.05, -1\/4, -291\/169, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921920975 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 9. Let v be ((-30)\/12 - -2)*((-704)\/11 + 10). Solve -9*t = v - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfgwtwgtwwgg. What is prob of sequence wfg?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34055 (base 7) in base 10?\nAnswer: -8615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.3 + -10.3. Let g = -0.6 + 0.2. Which is the second smallest value? (a) 3\/4 (b) r (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1402216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7757*k*u**3 - 169*k*u**2 + 2*k wrt u?\nAnswer: 46542*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 + 618\/5. Let x = 0.09 + -12.09. Let c = x + 11. Is h > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120035 + -34?\nAnswer: -120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 1. Let x be n(4). Let l(q) = 2*q - 3. Let p(a) = -3*a + 4. Let o(u) = -4*l(u) - 3*p(u). Let b be o(x). Solve 20 = b*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18898 is divided by 6299.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64779 and 7293.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - 4*c)*(3*c - 2*c + 0*c) + 0*c**2 - 4*c**2 + 6*c**2 - 3*c**2 + 6*c - 6*c + (1 - 2*c - 1)*(0*c - 2*c + 4*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose 0 = y*z - 2*z - 40. Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 13*m + 20. Let t be l(8). What is the first derivative of 13*u - u**3 + 2 - 45 - t*u wrt u?\nAnswer: -3*u**2 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(6\/(-90))\/(4\/5). Determine y, given that -1\/6*y**2 + 0*y - 1\/6*y**3 + 0 + m*y**5 + 1\/6*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1207503\nAnswer: 4\/1207503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 313232*k**2 + 6892556*k - 37911720.\nAnswer: -4*(k - 11)**2*(k + 78330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 2*w + 721. Give p(28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-12\/7)\/x))\/x**(-1\/5)*x**2*x*x*x**4 assuming x is positive.\nAnswer: x**(417\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25741 is divided by 931?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 16 = -x. Let l be (4 - 3)*(-1 + 2). What is the remainder when 16 - (0 + 2 - l) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22321 and 39?\nAnswer: 66963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose -4*o + 4*r = o + 10, l*o = -2*r + 16. Suppose 5*j - 305 = -5*q, -o*q = 3*j - 7*j - 152. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.7, -2.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m*m)\/(m\/(m\/(m\/(m\/m**(-5)))))*m**4\/(m**7\/m) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from jjujiujjjujiuujuuj?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -23. Let o = d - 3.9999977. Round o to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icak when four letters picked without replacement from aicekkkaeaik.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 200. Suppose -4*t = -l + w, 46 = l + 3*t - 53. Let d = -52 + l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/13659730 and -71\/1115080.\nAnswer: 54638920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 8*l + 3. Let b be r(-8). Suppose 0 = 3*q - b - 6. Let z be (-10)\/q*(-24)\/5. Solve 4*t - z = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250176 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -567, 53, 136 in decreasing order.\nAnswer: 136, 53, 6, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:36 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-4)\/((-4)\/(-2)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393093583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 89 - 87. Let s be (-3)\/2*(l + (-5)\/(-3)). Let t(i) = -i**2 - 6*i - 6. Calculate t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109852\/119 + 18384\/17. Let l = z - 158. What is the fourth smallest value in 1\/2, -2\/19, l, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(1*(-9)\/(-246)). Let g be (0 - z\/4) + -1. Let i be (0 + 5)*21\/g. Sort 0, -1, i.\nAnswer: i, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v - 3*v)*(2*v**2 - 2*v**2 + 2*v**4) - 9*v**5 - 78*v**3 - 6*v**5 + 78*v**3.\nAnswer: -19*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 8) + (1 - (-3 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -167, 1\/2, -304, 3, 12 in decreasing order.\nAnswer: 12, 3, 1\/2, 0, -167, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/((-7)\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2379, -4750, -7121, -9492, -11863?\n\"Answer: -2371*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*120\/50.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80))**2 + 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/8*16\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = -12. What is the closest to -2\/3 in -1\/4, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582982618.\nAnswer: 2, 291491309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 21. Let z be f(-15). Let n = 10 - z. Solve 0 = -n*m - m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuaraaawaurywuuraau. Give prob of picking 1 w and 1 r.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + ((-978)\/36)\/(81\/18). Is 2 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(5\/6))\/d)\/d)\/d)\/(d*d**(-1\/8)*d) assuming d is positive.\nAnswer: d**(-113\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.7 - -12. Let m = w - -1.9. Which is smaller: m or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -121541, -2\/19, -1472?\nAnswer: -1472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124, 112, 92, 64, 28, -16?\n\"Answer: -4*x**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 288024597 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 2*g**4 - 7*g**3\/2 - 8*g. Let c(a) = -a**2 + a. Let s(h) = 63*c(h) + 3*o(h). Let b(v) = -4*v**2. What is s(b(n))?\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -10. Suppose -2*w - a = -4*z, 6*w = 3*w - 6. Suppose -1 = -r + 5*g + z, -12 = -4*r - 3*g. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**3 - 2 - 21*z**3 + 4*z**4 + 2*z**4 + 5 in the form m + g*z**3 + h*z**2 + j*z + f*z**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1997*g - 1989*g + 6302*g**3 + 3984*g + 3749*g**3 + 2028*g**3 in the form f*g**3 + k*g**2 + p + z*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.42 - 0.08. Let p = 1 - 0. Which is the nearest to 2\/3? (a) p (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b82 (base 14) to base 7.\nAnswer: -6422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 4*i**3 - 211 + 942 - 3*i**2 + 3*i**2 to the form o*i + s*i**3 + k + r*i**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239625026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -684*x**3 - 11*x**2\/2 + 2*x - 2. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h + 3*h + h**2)*(3*h + h - 6*h) - 4*h + h**3 + 4*h + 5*h**3 - 2*h**3 - h**3 - 2*h**3 - 2*h**3 + 0*h**3 to w + l*h + o*h**2 + n*h**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {i: 2, s: 3, b: 2, a: 2, z: 4, d: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrdyup. What is prob of picking 1 d, 1 w, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:29 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180342 - -1.43232.\nAnswer: -180340.56768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77523315 by 15.\nAnswer: 5168221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 = 12*b + 398 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 22 = -2*c, 4*t - 10*c + 15*c - 1 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*j - 4*j. Solve -3 + j = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*j**2*y**3 - 259*j**2*y**2 + j*y**4 wrt y?\nAnswer: 468*j**2 + 24*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 4:14 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -11. Suppose -2*j = p*o - 100, -o - 4*j + 49 + 16 = 0. Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*o + 18, o - 6*o - 4*w = 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 12.2. Round v to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45085099?\nAnswer: 307, 146857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a - 2*a**3)*(6 - 3 - 1) - 3*a**3 + 2*a**3 + 2*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86)\/(-360) + 17\/68. Let r = -5\/9 + f. Suppose 2*b - 2*g = -b + 6, 2*g = -2*b - 6. Are b and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 - 4*d + 6. Let i be h(2). Let w be (i*2*-10)\/((-14)\/98). Let l be (12\/(-8))\/((-6)\/w). Round l to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**4 + a**2 - a - 1. Let h(q) = -5*q**5 + 390*q**4 - 4800*q**3 - 290*q**2 + 4785*q - 20. Let p(c) = 20*g(c) - h(c). Find f, given that p(f) = 0.\nAnswer: -1, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4 + 4)*(3*o**3 - o**3 + o**3) + (-o**3 + 5*o**3 - 2*o**3)*(o - 2 + 1 + 0*o).\nAnswer: 8*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 15*l = -p + 19, 0 = 5*p - 3*l - 51. Solve p - 9 = -67*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*m - 20 = -r + 159*m, 4*r + 40 = 2*m for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + 0*n**4 + n**4 + (24*n - 26 + 28*n - 44*n)*(-n**2 - n**2 + n**2)*(-4*n + 23*n + 18*n).\nAnswer: -294*n**4 + 962*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:16 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 - 4*p**2\/3 + p\/3 = 0. What is p?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-nine fifths of a microgram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 + 2968*y**3 + 1099630*y**2 - 1102600*y = 0.\nAnswer: -745, -740, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54558.0079 + -54514. Let z = -124 - -80. Let f = v + z. What is f rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 4, z: 1, h: 1, u: 1, g: 3}. What is prob of picking 1 g, 1 z, and 2 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.06, -1\/6, 0, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 27 = z + 2*z, 1 = y + z. Solve -y*d = -5*k - 10, -d + 4*k + 6 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*u - 7*u. Suppose 4*r + 3*q = 55, u*r + 0*q = 5*q + 15. Calculate the smallest common multiple of r and 29.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -3. Suppose 6*x - 281 + 47 = 84*x. Put n, x, -34 in decreasing order.\nAnswer: n, x, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 57*m - 214. What is the least common multiple of 2124 and x(-24)?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*t - 754086 = 39497 + 1159753. Is t a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 939*r + 14*r**3 + 1234*r - 9*r**3 - 9*r**3.\nAnswer: -4*r**3 + 2173*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12228189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(275) + sqrt(275) + 1)**2 + sqrt(275) + -2 + 1)*2*-4.\nAnswer: -17608 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/84 + 3*j**3\/7 + 20*j**2\/7 + 380*j. Factor s(b).\nAnswer: -(b - 20)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-4)*13)\/((-14)\/(-392)). Let h be ((-2)\/(-2))\/(7\/l). Are -13 and h unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*f**3 + 434 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(891) + 2)*-1 + sqrt(891))*-3)**2 + (((-2*sqrt(660))\/sqrt(12))\/(sqrt(80)*2))**2*1.\nAnswer: 2315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115548.\nAnswer: 2, 7, 39841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 5*h - 2 - 3\/2*h**2 + 17\/6*h**3. Let r(d) = 2*d**2. Calculate v(r(c)).\nAnswer: 34*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 259, 6, 4 in ascending order.\nAnswer: 4, 6, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let o(c) = -6*c + 3*c**3 - 5*c**2 + 3*c**2 - c**i - 2*c**3 + 3. Determine o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2126*p - 71 + 2124*p - 6378*p + 2127*p)*(-2*p + 5*p - p) as m*p**2 + w + i*p and give i.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*(-76)\/5*(-9)\/(-24). Let v = -103 - m. Which is the fourth smallest value? (a) v (b) 2 (c) 1 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001100000011111 - 10111?\nAnswer: 101001100000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 2. Let q(v) = 2*v - 1. Let k(y) = -5*q(y) - 4*x(y). Determine k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, c: 4, e: 2, z: 3, d: 3}. What is prob of picking 1 q and 1 z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.47 + 0.07. Let k = 190 + -154. Suppose k = -11*x - 7*x. Which is the second biggest value? (a) x (b) v (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-27) + 86\/18. Suppose -3 - 15 = -9*q. Let m(d) = -6 - 3*d - 5*d**3 - 5*d**q - d**3 + 5*d + 7*d**3. Calculate m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44404, 44648, 45266, 46444, 48368, 51224, 55198?\n\"Answer: 31*h**3 + h**2 + 24*h + 44348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 35*l**4 - 35*l**2 - 2*l**3 - 24*l + 34*l - 15*l**5 + 3*l**3 + 4*l**3 = 0.\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131096 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 976768189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 680 and 4.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243076.\nAnswer: 2, 127, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((290 - 314) + -1 + 10 + 1 + 26).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-19 + 25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 31950*z + 2555145.\nAnswer: 5*(z + 81)*(z + 6309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.03 + -4.03. Which is the closest to f? (a) 5\/3 (b) -0.4 (c) 13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 36566733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:20 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-45))\/(9\/90)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 5020.\nAnswer: 10040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*x - 177872 - 542528. Let i = x + -8069. What is i rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 7. Let u be s(-5). Let g be (-3 - u) + 224 - 1. Suppose g = 2*i + 44. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -413, -363, -261, -89?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -442 + 228. Let c = 214.0000107 + k. What is c rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-2)\/9*-3. Let a(c) = -c**2 + c + 1. Let p(f) = 5*f**2 - 8*f. Suppose 142*b + 26 = 168*b. Let w(z) = b*p(z) + u*a(z). Factor w(r).\nAnswer: (r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1026 and 18821476?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 - t - 12. Let h be 0\/(1 - (-5)\/((-10)\/6)). Calculate c(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152413258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1859, -3504, -4935, -6152?\nAnswer: -7155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 5*u + 140 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**2 + a + 4. Let v(k) = 4*k**2 + 2. Let g(z) = -3*l(z) + 7*v(z). Let o be g(2). Solve o = 4*w - 2*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19*(-78026)\/26*2\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 50 + 22 = 0. What is the derivative of -25*g**2 + 0*g**2 + q - 10*g**2 wrt g?\nAnswer: -70*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4992 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13936 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k**3 + 0*k)*(23 - 13 + 15) + (21*k**3 - 16*k**3 + 27*k**3)*(-1 - 1 + 3).\nAnswer: 82*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1818 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = 4*p, -p - 8 = -3*p. Suppose -4*o - 35 = -5*b, o - w = -4*b + 3. Let k be 2*(2 + b\/(-2)). Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3481875 (base 10) in base 14?\nAnswer: -668c95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8 - 17. Suppose 0 = -3*o + t*h + 22, o + 3*o - 21 = 5*h. Let v(f) = 26*f**2 + f. Does 8 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 + -187.2. Which is the closest to 0? (a) -0.1 (b) 2 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 44 = 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**2 - 6*y + 16. Let g be l(-5). Suppose -3*b = -5*x + 289, 0*b + g = 5*x + 3*b. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (245 - (185 + -90)) + -57.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 - 75. Let u(m) = -109*m + 3. Let r be u(1). Let x = 116 + r. What is the remainder when v is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 1116*o**3 - 221*o**3 - 3*o - 189*o**3 - 466*o**3.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2331151?\nAnswer: 2331142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 72 = -4*z. Let k be z\/(-108) + 88\/9. Let t(x) = x**2 - 5*x - 23. Does 27 divide t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/50 - 221\/350. Let x = -27568 + 27560. Sort -5, x, w in descending order.\nAnswer: w, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1473, 2946, 4419, 5892?\nAnswer: 7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.939 in 0.06, -0.4, 8\/7, 3\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 65 = -179 - 66 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 4. Let a(l) = l - 3. Let z(k) = 3*a(k) + 2*c(k). Let x(v) = -3*v**2 - v - 6. Let n(q) = 3*x(q) - 12*z(q). Factor n(f).\nAnswer: -3*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190 - -188. Let h be ((-3)\/(-6)*i)\/(-1). Which is smaller: 1\/84 or h?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(45)\/sqrt(3))\/sqrt(5)) + sqrt(48)*-6)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -180? (a) -2 (b) -14 (c) 1221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3 + 14\/6. Suppose 4*t + 0*g + p*g - 47 = 0, 5*t + 4*g - 60 = 0. Suppose t*m - 12*m = 0. Solve 4*i - 8 = 0, m*n - 2*i + 24 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4585*u**5 - 3*u**2 - 27*u - 1368 wrt u.\nAnswer: -275100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - 1 - (8 + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275 + -281.03. Let q = 6 + z. Let a be -12 - (((-7)\/(2\/(-2)) - 8) + -6). What is the second smallest value in -0.4, q, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 e, and 1 n when four letters picked without replacement from {y: 6, e: 4, z: 2, n: 6}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560565.\nAnswer: 3, 5, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - -4) + 30 - (-1 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 393, -1\/2, -3, -2\/5 in descending order.\nAnswer: 393, -0.2, -2\/5, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 + 0 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 14*b**2 + 6*b + 98. Calculate d(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.38 (c) 398 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*l - 99, -10*m = 4*l - 5*m - 141. Calculate the remainder when 166 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1. Let r(l) = 1. Let q(n) = -4*c(n) - 9*r(n). Let a be q(-3). Is 3 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382393 a multiple of 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1584) - sqrt(1584))**2*-3 - (0 + sqrt(1584))**2*4) + -2*(sqrt(11)*2 - sqrt(11))*4 + 3.\nAnswer: -25341 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -254*r - 2282. Let d be i(-9). Sort d, -3, 23, -5 in descending order.\nAnswer: 23, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g - 15. Let j(d) = 8*d - 59. Let f be j(7). What is the remainder when k(f) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose -x*i + 2 = -8. Solve -5*s - 3*a + 29 = -0*a, i*s = 5*a - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5242 + 360453?\nAnswer: 353211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -217*k + 484*k - 534 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-128)\/24*(-15)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**4 + l**2 + l - 1. Let n(p) = 4*p**4 - 2*p**3 + 4*p - 2. Let y be (-3)\/((-6)\/8) - 5. Let a(i) = y*n(i) + 2*m(i). What is b in a(b) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) -3 (d) 1\/3 (e) -0.96988 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**4 - d**3. Let y(o) = 3*o**4 + 3*o**3 + 1. Let f(b) = 12*r(b) + 4*y(b). Find the first derivative of f(n) wrt n.\nAnswer: 96*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5592 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25\/7 of a week?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -94e9 + 1?\nAnswer: -94e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p**3 - 238*p**2 + 47*p + 171. Does 5 divide q(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 25 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2420 and 10230?\nAnswer: 225060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and -4978?\nAnswer: 4969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 6.1, -1\/159, -0.069, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -450 - -450.4. Let h = -0.23 + 1.33. Let q = 0.9 - h. Which is the smallest value? (a) s (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73 and 150?\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -203087*l + 783. Let q be d(9). What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n - 5*w - 1408261 = 40*n, 2*n = -5*w + 1408191. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 4)*(6*w - 6*w + 5*w + 1) to the form t*w + v and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/15 and -24\/55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 103 - 120*230\/1104?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 1568*i**3\/3 + 1059*i**2 + 1883. What is the second derivative of t(n) wrt n?\nAnswer: 3136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 417, 639, 843, 1023, 1173, 1287?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1706, 3409, 5124, 6857, 8614?\nAnswer: 10401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3*y - 1 = 9*b, 13868*b = -5*y + 13872*b - 54 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + 3*k**2 - 3*k**2)*(3 - 2 + 2)*(-47 + 7*k + 47) in the form x*k + s*k**2 + f*k**3 + m and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dln when three letters picked without replacement from ljnlnllnxlndlll?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1242\/87561 + 6560\/14664.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*3*sqrt(864) + sqrt(864))\/(sqrt(18)\/(sqrt(72)\/(-3*sqrt(8)))).\nAnswer: 3 + 68*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - i**3 - 6 + 2*i**3 - 3 in the form w*i + r*i**3 + y*i**2 + n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -48. What is the units digit of (-2)\/(-6)*6 - b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16\/q**(5\/9)*(q**22*q*q)\/(q**21*q))**(-14\/5) assuming q is positive.\nAnswer: q**(-2198\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*g - 35, 8 = -2*p + 2. Which is greater: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 28033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 3, z: 1, n: 1, r: 1, x: 9}. What is prob of picking 1 n and 1 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 2*p - 5. Determine u(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 + 4.4. Let w(v) = -v + 2. Let j be w(-9). Suppose j = -3*u + 2. Which is the nearest to p? (a) u (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 127 + 848. Let r = u + 103. Put r, 3, -5 in decreasing order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.8504635 rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 58751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 693225347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(168)\/sqrt(3))\/(sqrt(6)\/(sqrt(3)*1)) + 1.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2152 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let j = 3.5 - 0.5. Let x = j - 2. What is the third biggest value in x, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2270*x**2. Let r(d) be the second derivative of d**3\/3 - 906*d. Give i(r(u)).\nAnswer: 9080*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 244*j**2 - 2*j. Let u(p) be the first derivative of 3*p**2\/2 - 1195. What is h(u(s))?\nAnswer: 2196*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 73, 213, 483, 925, 1581?\nAnswer: 2493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -106\/7*g - 20\/7*g**4 - 2\/7*g**5 + 108\/7*g**3 - 64\/7*g**2 + 12 = 0. What is g?\nAnswer: -14, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7\/5)*a*a*a*a*(a*a*a*(a\/a**(1\/2))\/a)\/a*a*(a**(-1))**11 assuming a is positive.\nAnswer: a**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80085, 0.5, -2, -4 in descending order.\nAnswer: 0.5, -2, -4, -80085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(89\/534)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 - 20*g - 20. What is the lowest common multiple of y(4) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1485*f + 1100*f**2 - 1485*f)*(-5*f**2 - 2*f**2 + 2*f**2) to the form r*f + l*f**3 + q*f**2 + a + h*f**4 and give h.\nAnswer: -5500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9434 - 8163. Calculate the remainder when h is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3073 - 0.30727013. What is s rounded to 7 decimal places?\nAnswer: 0.0000299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 5*j + 37, 113164*f + 16*j = 113159*f + 56 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*t + 31*t + 32*t)*(2 + 2*t - 2 + 3*t - 4 + 4 - 5*t + 0*t + 3*t + (-5 + 5 - 2*t)*(4 - 2 - 4))*(-1 + 1 - 2*t).\nAnswer: -238*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330600 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -728.00653363655.\nAnswer: -732.00653363655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - q - 1981. Let v = q - -624. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2209622, 4419226, 6628830, 8838434, 11048038, 13257642?\nAnswer: 15467246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**8\/1512 + b**6\/540 + 78*b**2 + 2. Let o(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(80\/(-6))*((-15)\/(270\/24))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 169872 = 166988. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -534, -391, -246, -99, 50, 201?\n\"Answer: x**2 + 140*x - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-62)\/248)\/(22\/24 + -1). Suppose 0*a + 5*a - 4*c = 32, -f*c - 21 = -3*a. Solve 5*w + a*t - t - 2 = 0, -2*t + 6 = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 5917246.\nAnswer: 35503476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1409.22345 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 19 - t + 7 - 4*t.\nAnswer: -8*t + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 7*y + p + 10, -5*y - 6 = -2*p. Let k = 8 - 7.5. What is the fourth smallest value in -3, y, 18, k?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1607811*g**2 - g + 1. Let h(o) = 6*o. What is h(z(l))?\nAnswer: 9646866*l**2 - 6*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164? (a) 21 (b) -15 (c) -3 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088001967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1471*a + 25062 - 79489 = 0 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 = 2*p - 48, -2*p - 4*t + 42 = 0. Solve -15*d + p*d = -2*r - 20, -5 = -5*d + 5*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/5*(-150)\/(-6). What is the remainder when 93 is divided by (-1*2)\/(x\/33 - 4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/42 + 139\/462. Let w(v) = v**3 + v**2 - v + 1. Let m be w(1). Suppose 0 = 5*u + 3*q + 20, 0*u + 4*q - 34 = m*u. Sort c, -0.2, u in decreasing order.\nAnswer: c, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzzs when four letters picked without replacement from {n: 1, s: 1, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j - 3*j - 5*j + 3*j**2 - 4*j - 9.\nAnswer: 3*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 10, 11, 10, 7, 2, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6 - -1.6. Which is bigger: c or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 3. Is 3 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3\/5 (c) 1113 (d) -0.5 (e) -0.011 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 7*o**5\/20 - o**3\/6 + 5*o - 41. Determine w(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 2*f**2 + 3*f + 1. Suppose 1214 = 54*p + 1322. Determine s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(352)\/sqrt(72))\/(-6*sqrt(44)\/(sqrt(11)*-2 - sqrt(11))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffwwfwwffwwwwwwwwfw. Give prob of picking 1 f and 3 w.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 7. Calculate the remainder when v(11) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 53*t**2 + 240*t - 1. Let y be r(-48). Suppose 6*m - 5*m = 0. Sort y, 5, m in descending order.\nAnswer: 5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -2) + -1 + (24 - 25)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 80*r + 76. Let w be o(39). Which is bigger: -203 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 6. Let m = 8 + -13. Let n be r(m). Suppose -3*i + 17 = -4*p - 11, 4*i - 36 = 5*p. Put n, 3, i in descending order.\nAnswer: i, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 12*z + 6. Let a be x(14). Let p be (-188)\/(-46) + (-20)\/a. Solve p*y = 5*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5 + 4*b**2 + 4*b**3 - 93*b + 45*b + 46*b. List the prime factors of v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1737474 or -1737473?\nAnswer: -1737474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a millennium?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 - -164. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/64*5*11\/((-55)\/18).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 19*p**2 + 21*p + 119. What is z(-18)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -297, -448, -599, -750?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 4. Let k(r) be the first derivative of 2*r**2 + 3*r - 13. Let f(t) = -3*t - 3. Let j(d) = -5*f(d) - 4*k(d). What is 4*j(v) + 3*o(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11\/14, 1, 0.2, 3, -0.596 in increasing order.\nAnswer: -0.596, 0.2, 11\/14, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 45*y = -3*c - 10, 4*c - 3*y = -15. Factor c - 5\/3*k**3 + 0*k - 5\/3*k**2.\nAnswer: -5*k**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 36 = 0. Let k be 48\/v - (-2)\/3. Let a be ((-15)\/(-9))\/(2\/k). Let x(u) = -u**3 + 4*u**2 + 4*u - 3. Determine x(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -956 - -961.59. Let q = -5.7 + h. Is q <= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 23*u - 6. Give b(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.01, -6\/53, -0.09.\nAnswer: -6\/53, -0.09, -0.01, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 23*l - 17. Let o be p(-10). Let j = -45 - o. Let z be ((-75)\/j)\/((-15)\/(-62400)). What is z rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-15)\/(-1))\/1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 14, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*m + 60, -a + 3*m + 34 = -25. Let b = -60 + a. Let q(g) = -18750*g**3 - g**2 + 2*g. Let d be q(b). What is d rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29459 and 11916?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17740 is divided by 1276?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11258207 to the nearest integer?\nAnswer: 3355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -71. Solve 4*q + 0*b - 2*b + 10 = 0, 2*b + y = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - k - 835 = 0, -3*i + 7*i + k = 1118. What is the remainder when i is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnnqnnnnn. What is prob of sequence nn?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z + 5026262 - 35*z - 51*z - 5026262.\nAnswer: -74*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((0 + 2*(1*sqrt(684) + -1)*-4*5)*-4)**2.\nAnswer: -1536000*sqrt(19) + 87680000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/6*((-7623)\/154)\/(-33).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 13 + 3. Let m = -2 + l. Suppose -m*o = o + j - 92, -14 = -o + 3*j. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 2*r)*(3*r**2 - 2*r**3 - 3*r**2 + (r - 3*r + 4*r)*(-4*r**2 - r**2 + 3*r**2) + (2*r**2 - 2*r**2 + 2*r**2)*(-r - 4*r + 3*r)).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1479.8 + -1628. What is y rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 141318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5, 0.07, -0.2, 49 in decreasing order.\nAnswer: 49, 5, 0.07, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*g - 11, 18 = 3*g + 11*l - 8*l. Let j be 14\/24 + 6\/9. Let r = 0.4 + -0.2. Put j, r, g in decreasing order.\nAnswer: j, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-22)\/(-6) + (-7)\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/23956 and 115\/1274.\nAnswer: 15259972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52607*m + 52612*m + 23 + 10 = -2*c, 0 = 4*c - m + 4*m + 59 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179.957 millilitres in litres?\nAnswer: 2.179957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 54 = -196. Sort b, -5, -1 in decreasing order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 - 129108*v + 1389072972 = 0. What is v?\nAnswer: 21518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11488 is divided by 3828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 230*v - 118*v + 265*v - 4901. Suppose -12 = -2*a - u - 0, 0 = -4*a + u + 18. Solve 2*l - a = -v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 + 9\/(-12). Let i = -8941\/1167 + -2\/389. Let g = 8 + i. Which is the nearest to h? (a) -2 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + f**4 + f**3 - f + f**3 - 4*f**3 to h*f + w + m*f**4 + b*f**2 + y*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2a87 (base 12) to base 2\nAnswer: 1001110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/(w*w\/w**(3\/2))*w*w**(2\/9)*w*w**(4\/3))\/((w**1)**(-20)\/((w*w**(-1\/3))\/w)**(-4)) assuming w is positive.\nAnswer: w**(887\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221009.\nAnswer: 29, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 1, z: 2, l: 1, u: 8, f: 1}. Give prob of sequence zlvf.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19306 less than 0.5?\nAnswer: -19305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 587 and -1350365.\nAnswer: -792664255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251 - 106. Let f = -295 - q. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -637, 3, 5.\nAnswer: -637, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 142\/10 + (-11)\/55. Let d = 21 + h. Solve -3*x + 3*r + d = 2*x, 3*x - 2 = -2*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + 1*sqrt(567))\/sqrt(9))\/((sqrt(63)*1)\/sqrt(7)) + sqrt(63)*-1 + -1*sqrt(847) + 4)**2.\nAnswer: -96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3*x. Suppose -r + 1 = 4*y, -6*y - 10 = 5*r - y. Let p be l(r). Suppose 0 = b + 3 - p. Put -0.4, b, 1\/9 in decreasing order.\nAnswer: 1\/9, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/2 (c) -7\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 608*h - 2397. Let g be y(-4). Factor -5\/3*j**4 + 0 + 5\/3*j**2 + 5\/3*j**5 + 0*j - 5\/3*j**g.\nAnswer: 5*j**2*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-3 + sqrt(126))\/(sqrt(128)*-3) + 0 + (-3*(-2 + 4 + sqrt(7)*-2))**2.\nAnswer: -287*sqrt(7)\/4 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78845 is divided by 3871?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geee when four letters picked without replacement from {f: 1, e: 3, w: 3, g: 6}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 68\/(-85)*((-385)\/10 + 1). Suppose 90 + 0 = -3*a. Let u be 124\/n - 4 - (-4)\/a. Solve u + 5 = 4*w - 3*r, -w = 3*r - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1834257663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) + (-1 - -95). Suppose -4*m + 191 = 5*d - i, 0 = -2*m - 2*d + 146. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c + 3*c**2 + (c + 4*c - 7*c)*(3*c - c - 3*c) + c - c + 2*c**2 + c**2 + 0*c**2 + 0*c**2 + (-1 + 1 + c)*(c + 2 - 2).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**3\/33 - 4*t**2 + 88*t - 129. Factor x(r).\nAnswer: 2*(r - 22)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000787782551 rounded to six decimal places?\nAnswer: -0.000788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 16 = -5*g - 12*h, 3*h = 6. What is the second smallest value in 2\/171, 2\/3, 3, -0.5, g?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 262 or 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/560 + 77*n**6\/160 + 5109*n**5\/160 - 15785*n**4\/16 + 42025*n**3\/4 - 2463*n**2. Factor k(p).\nAnswer: 3*(p - 5)**2*(p + 82)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**2\/2 + m - 1. Let r be z(5). Is 3*1*44\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.075, 1126, -1.7 in ascending order.\nAnswer: -1.7, 0.075, 0.2, 1126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 + 779*b**2 - 1 + 1 - 779*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 0*q)*(3 - 3 + 2*q**4) - 3*q**5 + 0*q**5 + q**5 + 23*q**5 - 2*q**5 + 9*q**5.\nAnswer: 26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/15 + -1)*-10. List the prime factors of (b - 3)\/(1\/71).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129502 is divided by 42992.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105834 (base 9) to base 15.\nAnswer: -13b9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124705.\nAnswer: 5, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2 + 43*w + 40. Determine b(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401368 (base 13) to base 16.\nAnswer: -16b45a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -25. Solve 0 = 2*s + j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose d = 5*d - 12. Factor 2 + 3 - 3*u**2 - 6 + u**3 - 3*u - w*u**d.\nAnswer: -(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 12\/13, -0.2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(-3 + 3 + p) + 3171*p + 390*p + 6266*p - 858*p to d*p + h and give d.\nAnswer: 8971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/222 + 1)*5\/6*28\/(-35)?\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8804 and -8808 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395882687 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*p + 37. Solve p*s + 6 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 3*b - 1. Suppose 10*q - 5*q = 0. Suppose q = 4*f - 0 + 8. Determine u(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*o = -r + 28, 127*o + 126*o - 255*o = r - 55 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -15, -3*u - 16*x + 12 = -17*x. Solve -12 = r + 2*r - u*f, -3*f = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 38 + 64 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/10*(-5)\/(-2)*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(252) + -3 + 2 + (sqrt(252) - (-1*sqrt(252) + -2 - sqrt(252)) - (sqrt(252) + (sqrt(252) + 0)*4)))**2.\nAnswer: -48*sqrt(7) + 4033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(405)\/sqrt(9))*-1*-6 + -5)*1.\nAnswer: -17 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = -3. Suppose 3*f = q*o + 12, 0 = 4*f - 2*f - 3*o - 9. Find the second derivative of -2*a - 17*a**f + 25*a**3 + 0*a wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*v - 3*v**3 - v**3 + 30*v - 1 + 3*v**3 as i*v**2 + u + z*v**3 + o*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 4*z. Suppose -5*r + 3 = w, -5*w - 6 - 8 = -4*r. What is the remainder when (w + 7)*7\/5 is divided by d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.75002353 + 55.75. What is m rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-266)\/(-2527))\/(324\/152))\/(-6)?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -635409*y - 13979009. Calculate u(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*h + 2*n + 2, h + 9 = -2*n. What is the second smallest value in -28, 3\/2, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 1, f: 5, d: 1}. Give prob of sequence dqk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzzq when four letters picked without replacement from tzzmztttzzmtzztttq?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23819305 is divided by 7939767.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) 3880\/7 (c) 2\/3 (d) -17\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -5*b**3\/3 + 2*b - 3098. Let u(i) = -10*i + 5. Let w(l) = -l + 1. Let m(k) = -u(k) + 5*w(k). What is n(m(q))?\nAnswer: -125*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Suppose -v + 8 = f, -f + 2*f - v = 8. Suppose n = -2*u + 3, u + 2*n - n = 0. Suppose -5*b = -3*k + 2, -u*b = 3*k - 5*b - f. What is y(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 141. Let c = 56 + s. Suppose 0 = -f - t + 109, c*f = 3*f - 3*t + 115. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 4)*(3*w - 3*w + w)*(3*w + 3 - 3) in the form k + x*w**2 + l*w and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {b: 1, o: 5, q: 1, t: 3, g: 6, y: 4}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**4 + r**2 - 2*r + 1. Let q(j) = 192*j**5 + 45*j**4 - 117*j**3 + 30*j**2 - 6*j + 3. Suppose -24 + 18 = -2*m. Let a(g) = m*n(g) - q(g). Factor a(z).\nAnswer: -3*z**2*(z + 1)*(8*z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by 1.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 299801654.2+-10\nAnswer: 299801644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 42 + 5*x**3 + 30 - 3*x**3 - x**2 - 3*x as k*x**2 + c*x + u*x**3 + d and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 4*p - 13. Let s(q) = -q - 2. Let o(j) = -5*s(j) + t(j). What is the lowest common multiple of 77 and o(-2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*l**3 + l**2 - 358*l**3 - 206*l**3 - 155*l**3 + 145*l**3.\nAnswer: -425*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*o - 3*o + 9*o - 3*o)*(-12577 + 12577 + 2239*o)*(-4 + 0 + 3) in the form r*o**2 + b + j*o and give r.\nAnswer: -31346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w**2 - 4*w - 7. Suppose z + 5 - 3 = 0. Let l(o) be the second derivative of -1\/6*o**3 + 1\/3*o**4 - o**2 - 7*o + 0. Give z*c(j) + 7*l(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-6))\/(59\/(-354)))\/(11\/(-649))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27747 + -3?\nAnswer: 27744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 226\/117 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**7\/525 - o**6\/150 + 7*o**2\/2 - 6*o. Let r(z) be the first derivative of n(z). Factor r(q).\nAnswer: 2*q**3*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-25)*g*g*(g\/g**(-3)*g*g)\/g assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -957.\nAnswer: -3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2 * -647.25.\nAnswer: 2071.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18496*b**3 - 121312*b**2 + 155396*b - 56180.\nAnswer: 4*(b - 5)*(68*b - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/117)\/(-23*(-120)\/(-6624)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11468 + 11481 + 11483 + 19*p - 34433.\nAnswer: 19*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c + 4. Suppose 5*w - 91 = 2*q - q, -4*q = -16. Let j = w + c. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 120*j**2 - 400*j.\nAnswer: -5*j*(j - 20)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 + 8*t + 2. Let j(u) = -2*u**2 + 3*u + 1. Suppose 3*o = -0 - 24. Suppose 4 + 5 = 3*a. Determine a*g(s) + o*j(s).\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 475064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*z - 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -347, -689, -1141, -1703, -2375?\nAnswer: -3157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 313*a**2 - 635*a + 324202 with respect to a.\nAnswer: 626*a - 635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + 0.06. Let m = 1 - -2. Let z = 6 - m. Put f, z, 0.1 in descending order.\nAnswer: z, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l + 21. Give g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 - 329786*s + 2308404 = 0.\nAnswer: 7, 164886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*j + 5 = 3*j, -2*j + 10 = 0. Let z = 3 + 0. Let i = z + -2. Which is the nearest to i? (a) -1\/7 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16537 (base 8) to base 15.\nAnswer: -2364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 6. Let i be o(2). Solve 3*t - t + 4*q - 10 = 0, -28 = 4*t - i*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -481383 divided by -1?\nAnswer: 481383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-5*sqrt(99))\/sqrt(9) + 1 - (-6*((sqrt(165)\/sqrt(5))\/sqrt(3) + 2))**2.\nAnswer: -539 - 134*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(1\/3))\/(s*s**(-2\/11))*s\/(s\/(s*s*s**4*s))*s*s*s**6)**(-2\/19) assuming s is positive.\nAnswer: s**(-1090\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 2. Let y(k) = -k**3 + 8*k**2 - 4*k + 8. Let g be y(6). Suppose -18*h + 25*h = -g. Determine u(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*u + 341*u = 3844 + 13088 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.5 (b) 38099 (c) -2\/3 (d) 4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -4 + 14 + -2. Let r = 27 - x. Calculate the highest common factor of r and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3*v + 4*v)*(5*v**2 - 2*v**3 - 5*v**2)*(0*v + 0*v + 4*v).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 180*a - 180*a - 11*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 5, -1 in decreasing order.\nAnswer: 5, -1, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5976 and 606066.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26257 is divided by 398?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 337ab (base 13) to base 5\nAnswer: 10443343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1 + -2*sqrt(12)*3)**2.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3\/9 - 650*s**2\/3 + 53136*s - 157464 = 0.\nAnswer: 3, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/91, 149, -12, 73\/2?\nAnswer: -6\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/82245, 733, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/220 and 27\/69344.\nAnswer: 346720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 19233104346.\nAnswer: 19233104346.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 7) to base 10\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r + 4. Suppose -2*l + l = 4. Is 14 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -56.5. Let o = b - 4.5. Which is bigger: 1\/74 or o?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiqi when four letters picked without replacement from qiiiqiiiqi.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -358, -1604, -3674, -6568?\n\"Answer: -412*d**2 - 10*d + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4850 and -59\/3020.\nAnswer: 1464700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 1, f: 1, d: 2, w: 1}. What is prob of sequence tk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 - 30*a**2 - 8*a - 50. Give f(-8).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + q. Suppose 0*a - 378 = -q*l - 4*a, -l - 3*a = -188. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570420371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 126 - 651. What is the second derivative of 48*x**3 + 7*x + 51 + 53 + 3*x - c wrt x?\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -m - 1. What is the third derivative of -3*u**2 + 3*u**2 + 3*u**2 + 4*u**m wrt u?\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -29522034.\nAnswer: 8\/14761017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxcll. What is prob of sequence cl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 44 - 218*q - 84 in the form c*q + h and give c.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from loqol?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/2888, 1, 26, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/((((f**(-2\/9)\/f)\/f)\/f)\/f*f*f)*f**(-2\/11)*f*f**(-3)*f)\/((f**(-1))**(-2\/81)*f**(2\/5)\/((f**(-2\/21)*f*f)\/f)) assuming f is positive.\nAnswer: f**(78601\/31185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240 by 4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2877921*a = -2877767*a + 5852 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q = 44*q - 160, m - 3*m + 3*m = 2*m - 2*q - 67 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 5*v**3 + v - 19 - 3*v**3 + 18 to g*v + r + a*v**3 + p*v**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 438977?\nAnswer: -438954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218 + 863. What are the prime factors of b?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7421823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11 + 89 = 0. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(102)\/(sqrt(6) + (2*sqrt(30))\/sqrt(5)) - (2 + (-3*sqrt(272) - sqrt(17)) + -2)).\nAnswer: -3 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + -3 + 2 + -3 + (sqrt(500)*2 - sqrt(500)) + sqrt(500) + (sqrt(500) + 0)*-2)**2 + 3).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -237 (c) -1.8 (d) 1\/3 (e) -0.3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(65) - sqrt(65))*1)\/(5*sqrt(15)\/sqrt(3)) - (sqrt(325) + -4 + 2*sqrt(325) - (sqrt(325) + (2*sqrt(325) - sqrt(325)) + 4 + sqrt(325))**2))*1.\nAnswer: 523*sqrt(13)\/5 + 2945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*w + 5027 - 5027)*(-9*w - 43*w - 9*w) as q + m*w + b*w**2 and give b.\nAnswer: 3416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -881420183*a + 94702653 wrt a.\nAnswer: -881420183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 10, n: 4}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 + -785?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29808)\/756*(-21)\/4. Solve -186*d - 84 = -p*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2489846 to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/3)\/2*3\/(-2). Suppose -5 + 0 = -5*i, 0 = -2*j - z*i + 4. Suppose 0 = 3*q + q - 4*c, 5*q + 5*c = 0. Is q < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31251664 + -50?\nAnswer: 31251614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13400550*h*o**2 - h*o + 2*h + 15665*o - 67 wrt o?\nAnswer: -26801100*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**3*y**2 - g**3 - 260050*g**2*y**2 + 3*g**2*y + 10*g**2 + 13806*g*y wrt y.\nAnswer: 30*g**3 - 520100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvllvllllllll. Give prob of picking 4 l.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = t - 3*f + 2, 2740*f = 5*t + 2737*f + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.058 - -0.058. Let t = w + 43.6. Which is the third biggest value? (a) -4 (b) -1 (c) 0.5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 13*q - 2. Let r be z(13). Which is smaller: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Let g(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - f**3\/3 - f**2. Let y be g(-6). Solve k*h = -y - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtogtgot. What is prob of sequence oott?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 0, 129, -4, 5.\nAnswer: -14, -4, 0, 2, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333 - -86. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1684, 3366, 5048, 6730, 8412?\n\"Answer: 1682*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.03, -13\/8, 1, 36?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 10*n**2 - 30*n - 1928. What is b(-16)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u + 7. Let d be b(-1). Let p(z) = z**d - 16 + z - 11 + 28. Let l(s) = 4*s**2 + 4*s + 7. Calculate -l(f) + 6*p(f).\nAnswer: 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -22*v + 82. Let -4*a - 4*a - 48*a + 10*a**4 + 2*a**5 - 24 + v*a**3 - 34*a**2 = 0. What is a?\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11))**(-1\/3)*(r*r**(2\/9)*r)**(8\/7) assuming r is positive.\nAnswer: r**(1802\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssjjggsjss. What is prob of picking 1 g and 2 s?\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20634 - -2739. Let g = q + 1431537\/80. Let h = 14003\/6 + -2342. Find the common denominator of h and g.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/6*1*-2. What is the derivative of -2*b**2 - 2*b**2 - 20 + u wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 70, 4.\nAnswer: -12, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59095*i**3 - 14774*i**3 - 14767*i**3 - 14770*i**3 - 14776*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, -671, -2241, -5287, -10301, -17775?\n\"Answer: -82*l**3 - 12*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24581, -96395, -215435, -381701, -595193, -855911?\n\"Answer: -23613*i**2 - 975*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 469\/62 - 15\/2. Which is the closest to 1\/2? (a) 3\/4 (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 24\/17, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 greater than 1376\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 105. Let x(g) = 30*g + 7. Let m be x(3). Let w = m + z. Calculate the remainder when w is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppmpmpmp. What is prob of picking 3 m?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 15 = 5*u + 2*b, 4*b = -5*u + 12. Let m be -1*(u - -1)\/1. Let d(f) be the second derivative of 7*f**5\/20 - f**3\/6 + f + 10. Calculate d(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29849.44 centimeters to millimeters.\nAnswer: 298494.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000412312 rounded to six decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -129 (b) -234 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 - q**4\/24 + 25*q**3\/6 - 20*q**2. List the prime factors of s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/20 + 3*y**4\/2 + 19*y**3\/6 - 2*y**2 - 13*y. Let a be z(11). Let v = -481 + a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - 6. Let w be -7 - 1*(y\/1 - -3). Let i(g) = -3*g - 21. Let f be i(w). Solve f = -2*x + 2*z + 8, -3*x - 6 - 2 = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 2*r**3 + 0*r**3)*(2 - 2 + 4*r)*(-528 + 66 + 82).\nAnswer: 3040*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 + 310\/(-240). Let i = y - 23\/168. Let p = 2\/7 + i. Which is the third smallest value? (a) p (b) -1\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -2)*(2\/(-4) + (-480777)\/34)?\nAnswer: 79, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 19.3, -1.9, -2\/3?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njntntssnnnn. What is prob of picking 1 n and 1 t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -66*r**2 + 1789*r - 18. Let s be q(28). Is s equal to -3339\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -924 (b) -4 (c) 9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 - 120 = -2*s - 5*y, s - 4*y = 121. Suppose -3*m + 198 = 3*l, -5*m + 7*m + 108 = 2*l. Calculate the remainder when s is divided by l.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -295049 and -3.\nAnswer: 885147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t**2*t**8\/((t*t**(-10))\/t))**(-3\/17) assuming t is positive.\nAnswer: t**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14968078 + 24990708. Suppose 6777370 = -4*q - g. What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g**5 - 228*g**4 - 159*g**3 + 30*g**2 = 0. Calculate g.\nAnswer: -5, -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1d72a (base 15) to base 3\nAnswer: 11212211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-0.201.\nAnswer: -0.1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 9*w + 21*w to k + z*w and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/391839701 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -28*h**2 - 10218*h + 11173. Determine l(-366).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -216*d + 353. Determine i(10).\nAnswer: -1807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*x + 3504, -41*x + 1724 = 2*n - 46*x. Calculate the greatest common factor of n and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22*(-46)\/(-253) + 2 + -2*1. Let q(w) = -w + 6. Let m = 0 - -6. Let o be q(m). Solve -i = 2*p + 5, o = l*p - 6*i + i + 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 - 23*i + 5*i + 32)*(49 + 10 + 51 - 22 + 3) in the form l*i + q and give l.\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0.3, -36 in ascending order.\nAnswer: -36, -1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l**5 + 15*l**4 - 70*l**3 - 10*l**2 + 25*l - 5 = 0. Calculate l.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/9, 2\/47, 5 in decreasing order.\nAnswer: 5, 1\/9, 2\/47, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066264513 - -35.9?\nAnswer: 1066264548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4257*n - 2449*n + 6704*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-100)\/(-350)*(-3)\/(-2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 1. Let q(l) = l**3 + 2*l**2 - 5*l - 5. Let v(z) = -q(z) - t(z). Let a be v(3). Let k = a + 123. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 (base 7) in base 3?\nAnswer: -20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, -252, -689, -1228, -1875, -2636?\nAnswer: -3517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 3*g + 5*r, -5*g + 0*r + 121 = -3*r. Calculate the lowest common multiple of g and -5 + 7 - 4\/((-12)\/9).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9991 + 0.0009. What is the closest to -7 in b, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.716 and 1182.1.\nAnswer: 1179.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/3 + 1656\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*l**3 + 112838*l**2 - 127332586?\nAnswer: -189*l**2 + 225676*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 25*n - 23*n - 7, 19 = 4*n + 3*a. Solve -j = -l - 4, 5*l + 14 = n*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266672\/5 bigger than 53335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2112.3 + -2112. What is the closest to -0.03 in 1, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53688675 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -48 + 48 + ((-2)\/(-13) - (-89)\/13). Solve 0 = -5*j + b - u, -89 = 4*j - 3*b - 90 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 3. Determine q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -968 = -13*q + 1723. Calculate the highest common factor of 230 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i**2 - 5*i**3 + 31*i**2 - 141*i + 8*i**3 - 32*i**2 + 72 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.7 (c) -0.01 (d) -4\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 239976925 by 89711.\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 272651 = 5*s - u, 2*s - u = 109037. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 7*i**2 - 2*i + 4. Suppose 0*q = -q + 6*q. Let u be ((q + -1)\/2)\/((-2)\/(-28)). What is o(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w. Let f be a(6). Let x = f + 7. What is the tens digit of -1*x*(-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**4 - 2*v**4 - 7*v**2 - v**3 + 3*v**4 + 21*v**2 - 2 as w*v**2 + f*v**4 + y*v**3 + g*v + h and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/14)\/((-4)\/(-1)*(-107)\/(-1498)). Which is the second biggest value? (a) -443 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjyyyjjjjy. Give prob of picking 2 y and 2 j.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s. Suppose -15 = -2*x + w, -4*x - 2*w + 31 = -5*w. Let y(d) = 0*d + x*d - 4*d - 2*d. What is y(r(v))?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u + 27 - 3*u + 4*u - 27*u.\nAnswer: -46*u + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13041*g*l**2 + 5575*g - 228384770*l**2 wrt g.\nAnswer: -13041*l**2 + 5575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 20, 1 = 5*o - 2*o + 2*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2846*d - 5644*d + 2843*d + 2*d**2.\nAnswer: 2*d**2 + 45*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14413224 + 110?\nAnswer: -14413114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118471682 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11d0 - 3?\nAnswer: 11cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(2) - (0 + sqrt(2))) - (sqrt(2) + 0 + sqrt(32))) + (sqrt(88)*-1)\/sqrt(11))**2 + 0 + -4*(sqrt(8)\/sqrt(4) + -1)*4.\nAnswer: 54*sqrt(2) + 139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**3 + 6*o**2 - 6. Let c(s) = -6*s**3 - 5*s**2 + 5. Suppose 4*v = -17 - 3. Let k = v - -10. Determine k*y(d) + 6*c(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14867 is divided by 6883?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -v + 4 = k. Solve 3*l - 2*c + 0*c + k = 0, 4*c = 5*l + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*l**2 - 4*l**3 + 16*l**2 + 2*l**3 + 0*l**3 to the form j + s*l**2 + i*l + x*l**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -5250?\nAnswer: -5242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22718552, 22718551, 22718550, 22718549, 22718548?\n\"Answer: -s + 22718553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (5 - 6) + (-11 - -1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241 and 3158016523?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 57*l - 531. Let r be a(-12). Solve 0*g = -r*g - 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, b: 3}. Give prob of sequence bbbc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7670*-48.4.\nAnswer: -371228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -48*a + 38. Let y be z(1). Let n be 18\/y*6*(-35)\/126. Solve n*p + 28 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3727*h - 2429*h - 101244 = 0 for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*x = -1556, 3*d - 5*d + 778 = x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -623792?\nAnswer: 623792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttlmglllmgtllllltgg. Give prob of picking 1 t, 1 m, and 2 g.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 - (-362 - (0 - 0)). Let i = v - 210. Suppose -2*a = i - 409. What are the prime factors of a?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*u + 3*u - 3874 = -4147 - 9187 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 - 391*b - 1361. What is the least common multiple of 12 and d(119)?\nAnswer: 17508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21040*y**3 + 137*y + 5.\nAnswer: 126240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4532 or 49836\/11?\nAnswer: 4532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*d**4 - 3 + (-9*d**2 - 18*d**2 - 8*d**2)*(18*d**2 + 7*d - 2*d + 1 - 20*d**2) - 3*d**4 - d**4 + 3*d**4.\nAnswer: 66*d**4 - 175*d**3 - 35*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -371467*a*q**2 + 995529*q**2 with respect to a.\nAnswer: -371467*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1705 divide 2009101022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 30. Suppose -p - 1 = 0, -5*g - 2*p + b = -2. Solve 0 = -2*n + g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228) + (sqrt(228) - sqrt(228)*4*4))\/(sqrt(144)\/sqrt(192)).\nAnswer: -52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {i: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420)*-2)\/(sqrt(4) + sqrt(32)\/(sqrt(8)*-2)).\nAnswer: -44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -137. Suppose -4*f + 2*f = b - 5, 2*b = -f + j. Solve b = -t + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Which is the closest to 2\/9? (a) t (b) -0.5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7060, -3802, -570, 2624, 5768, 8850, 11858?\nAnswer: 14780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 5, 28, 1\/7, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 6*y - 6. Let v(x) = x**3 + 3*x**2 - 2*x + 9. Let k be v(-4). Let u(i) = 19*i - 3. Let d be u(k). Let p = 23 - d. Calculate l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083568228 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7276, 14560, 21850, 29146?\nAnswer: 36448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-6 + 35 + -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**(-1\/31)*(m*m\/m**7*m)\/m*m**(-2) assuming m is positive.\nAnswer: m**(-222\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5\/3)*q)\/q**(-2\/3)*q**0\/q**4)\/(q**0*q**(-3\/4))**11 assuming q is positive.\nAnswer: q**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17302744424*m + 14 + 17302744424*m - 14 + 15*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 126.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4) - -1) + (-224)\/128?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -153, -157, -175, -213, -277, -373, -507?\n\"Answer: -z**3 - z**2 + 6*z - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953040?\nAnswer: 2, 5, 24413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4934846.67 to the nearest one thousand.\nAnswer: 4935000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7228 = 5*d - 34*o + 31*o, 5*o = 5*d - 7230. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkx. What is prob of sequence kx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-25) - 4\/(-2). Let f = -0.12 - 5.62. Let d = f - -0.74. Which is the biggest value? (a) h (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 695, 1406, 2205, 2978?\nAnswer: 3611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 1. Let z(r) = r**3. Give -3*b(i) + 2*z(i).\nAnswer: -i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 11*k - 9. Let m(n) = -n + 4. Let h be m(1). Suppose -2*v + z + 18 = 0, v + 4*v - 34 = -h*z. Let l be d(v). Solve -q - l = -6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3 - (-5 - -5 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**7\/210 + y**6\/50 - 9*y**5\/25 - 7*y**4\/3 + 16*y**3\/5 + 288*y**2\/5 + 16*y - 22. Let p(u) = 0. Calculate u.\nAnswer: -4, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 2\/7, 3, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3605*x**3\/3 - x**2 - 372*x + 287. Find the second derivative of l(j) wrt j.\nAnswer: -7210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8220 (base 11) to base 14\nAnswer: 3d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/84 and 19\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 + w**2 + 9*w - 6. Let v(p) = 4*p**3 + p**2 + 8*p - 5. Suppose -16 + 36 = -5*j, -3*b + j = -22. Let x(d) = b*g(d) - 7*v(d). What is x(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 12*l**2 - 11*l - 130. Let p be a(-12). Solve 0 = 3*g + p*o - 7, 0 = -0*g - g - 4*o + 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-36)\/(-90))\/(2\/26315).\nAnswer: 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3628)\/(-8) + (-3)\/2. Suppose o = -1 + t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = b. Let j = 4 + b. Suppose 5*t - 4*d - 72 = 0, 3*d = j*t + 5*d - 18. Calculate the least common multiple of t and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4 + 16201*s**3\/3 - 10209*s**2 + 4205*s + 1802\/3 = 0.\nAnswer: -1802, -1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2*(-1)\/(-68). Suppose 257 = 5*v - 6*j + 2*j, 0 = 5*v + 3*j - 236. Let g = 48 - v. Is s greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/(x**6*x))\/x))\/(x*x*x**2))\/(x*x**(-1))**(1\/36))\/(x**(-6)\/x**(-9))**47 assuming x is positive.\nAnswer: x**(-137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010011000 + 1001?\nAnswer: -1010010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151103 (base 6) to base 15.\nAnswer: 131cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0712 + -0.1035. Let y = f + -0.0077. Put -1, y, 4, 2 in descending order.\nAnswer: 4, 2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 15*r - 1. Let h(i) = -i - 38. Let s be h(17). Let p be 33\/s - ((-54)\/34 + 1). Is p at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 16*l - 55*l + 28*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (-13 - 26) - (8 - -1) - 1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28224483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s + 2. Let v be l(-4). Let d be 2\/3*(4 + -1). Suppose -2*j - 28 = -3*q, 4*q + d*j - j = v. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2\/3 (b) 2\/7 (c) 175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4\/4 - 63*t**3\/4 + 234*t**2 - 924*t + 1152 = 0.\nAnswer: -32, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(2*x**4 + 0*x**2 + 0*x**2)*(0 - 3 + 1)*(1 - 1 + x).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/1237 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136.867 + 137. Round v to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*m**2 - 1729*m**2 - 1498*m**2.\nAnswer: -2212*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 166ba (base 16) to base 5\nAnswer: 10414314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1100) + 1*sqrt(1100) + 2 + sqrt(1100) + 5)**2 - (-5 + (1 + sqrt(1100))**2 + sqrt(1100) - (-5*(1 + sqrt(1100)))**2))*-1.\nAnswer: -36380 - 890*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204.55 + 204.5. What is the second biggest value in i, -1\/2, 0.11, 2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5.7, -0.1 in descending order.\nAnswer: 5.7, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3 + 6*j + 4 + 4*j**3 + 5. Let p(v) = -v**2 + 6*v. Let l be p(5). Let t(k) = 5*k**3 + 7*k + 7. Calculate l*t(h) - 6*x(h).\nAnswer: h**3 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 100658.\nAnswer: 10065.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1254 - -2256. What is the greatest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 less than -3285771393?\nAnswer: -3285771479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:40 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*a + a + 8*j, 6872*j = 3*a + 6868*j + 100 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**3 - 16*c**2 + 16*c**2 + 3*c**2 + 3*c**3 - 3*c**2 + (c - 1 + 1)*(-3*c**2 - 2*c**2 + 3*c**2) - 3*c**3 + 4*c**3 - 3*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 34*s + 34*s + 16*s**3.\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/18 - (-3 - (-6265)\/1290). Is w at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 10*h - 11*h. What is the remainder when 34 is divided by p(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8096000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2*m + 1823971*k**2 - 3*k*m + 73947*m wrt m.\nAnswer: -k**2 - 3*k + 73947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0800742 from -0.2.\nAnswer: -0.2800742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 5*i + 26, -362*i + 363*i - 8 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.1, 2\/7, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/85 and (-67 - -1)\/(-11 + -3).\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12)*1 + sqrt(12)) - -1*sqrt(112))*-2*-5.\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away 10134?\nAnswer: -10134.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**4\/24 - 2*d**3\/3 + 32*d**2. Let b be v(9). Suppose 341 = b*z + 51. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 138 = 2*y + 162, 8*y + 86 = -7*o + 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 11*q + 2. Let a be z(11). Let w(j) = j + 9. Suppose 14 = -2*c - 2. Let m be w(c). Which is smaller: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.8453225 to three decimal places.\nAnswer: 11.845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 3. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 725, 1155, 1535, 1847, 2073, 2195?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 517959, 1035931, 1553917, 2071923, 2589955, 3108019?\nAnswer: 3626121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sssssosooos?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8010560 divided by -125165\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492093 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 101. Let o be l(25). Let t = 190 + -193. Which is the nearest to o? (a) -0.1 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -18. Suppose 2*c + 6 = u*c. Solve 8*s - c*s + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -575112 divided by -916\nAnswer: 143778\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 2 l when four letters picked without replacement from llnlnddldwldwwwwd.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.28 + 49. Let t = z + 0.28. What is the closest to t in -5, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58603000.\nAnswer: 2, 5, 58603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -193674 at most as big as -193674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a factor of 1089609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13555, 28787, 44017, 59245, 74471, 89695?\n\"Answer: -z**2 + 15235*z - 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 203 = 5*s - 177, 3*s = y + 239. Let x = -45 + s. Suppose -5*m + x = 13. Solve -6*n = -3*z - m*n - 2, -3*n = 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3*n*q - 33*h**3*q - 3*h**3 + 3*h**2*n*q - 13*n + q wrt n.\nAnswer: -2*h**3*q + 3*h**2*q - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19413 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009824 rounded to four decimal places?\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-8)*5*18\/105?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3234 and 723.\nAnswer: 779394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30513 - 30507. Which is the closest to -1\/4? (a) 2 (b) -2\/425 (c) 1\/6 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81090 is divided by 448.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9)\/(((-110)\/(-9))\/(-11)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3240)\/72 - (17 - -3)\/4\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -831?\nAnswer: -83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8665.34 * 0.6.\nAnswer: -5199.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 9)\/(-2) + 98 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 24*w + 7. Suppose 0 = -2*x - x + 9, 5*x = -4*o - 41. List the prime factors of u(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = 2*r - 2146, 4*i = -r + 1077. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 10 = 0. Suppose -a*t - 3 + 18 = 0. Find the third derivative of -82*s**3 - 5*s**2 + 82*s**t - 5*s**4 wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182355336 to the power of 1\/2, to the nearest integer?\nAnswer: 13504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-882)\/(-560)*5 + -8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**(11\/2))**(-1\/5) assuming g is positive.\nAnswer: g**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -6)*9\/((-252)\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from badgu. What is prob of picking 1 d, 1 b, 1 g, and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10641913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/9 and 3 - (188\/(-16) - 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 5 - 3608\/1320)*12?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/720 and 52\/910915.\nAnswer: 131171760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 328*o - 313*o. Calculate the remainder when 158 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/20*(1078\/728)\/11?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let k(a) = -a**2 + 5*a - 4. Let j(u) = -k(u) + 3*z(u). Determine j(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 26*z**2 - 14*z - 40. Let v be c(-4). Is 0.2 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -52. Let z = n + 4. Let p be (-16)\/9 + 1 - -1. Which is the smallest value? (a) 3 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 12*l. Let a(b) = -b. Calculate a(q(d)).\nAnswer: -4*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 2. Let g be s(-5). Suppose 2*q + g*d = 98, 0 = -5*q + 5*d - 72 + 367. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 12 - 4)*(0*w - 3*w + 3 + 5*w).\nAnswer: 22*w + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o. Let a be d(1). Let g(r) = -a*r + 3*r + r. Let f(k) = 5*k. Calculate f(m) + 4*g(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1318*f - 756 = -1372*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 10 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 11*p**2 - 19*p - 13. What is x(-12)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3. Let r(v) = -v**3 - v**2 + 18*v + 13. Let d be r(4). Let y(f) = 4*f - 337 + 339 - d*f. Determine -4*q(b) - 6*y(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*b - 63*l + 24*l + 34*l, -21*l = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from hwwnbed.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100 - -48. Let w = -29 - f. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3868276, -3868279, -3868282, -3868285, -3868288, -3868291?\n\"Answer: -3*a - 3868273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 12, 5*d - 2*d - 3*g = 7*d - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 13\/2 (b) -1 (c) 2\/11 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1179 and -0.0434?\nAnswer: 51.1686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -259.22625 rounded to the nearest integer?\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3786626803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + z**2 - z + 2. Suppose f + 4 = -f. Give u(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10551655601 plus 7.6031?\nAnswer: 10551655608.6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 51*s**5\/20 + s**3\/3 + 57*s**2\/2 + 49*s - 2. What is the second derivative of b(h) wrt h?\nAnswer: 306*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 13 = -5*d, -165*d - 15 = -162*d + 3*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -821, -5, 2 in ascending order.\nAnswer: -821, -20, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -38*d**2. Let i(q) = 1 - 2 + 2*q + 1. Calculate a(i(s)).\nAnswer: -152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -266064*p**4 + 26467 wrt p.\nAnswer: -1064256*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33259971*b**2*y**2 - 2*b*n**2 + 3*n**2*y**2 + 8197*n**2*y + n + 15*y**2 - 3*y - 11 wrt b.\nAnswer: -66519942*b*y**2 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - f**2 - 76*f - 223. Let t(o) = 4*o**3 + 78*o + 223. Let a(h) = -3*d(h) - 2*t(h). What is a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.05 to the nearest integer.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 9) to base 2.\nAnswer: 101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 29*c - 203. Calculate a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 42. Suppose 0 = -f*g - 2*i + 334, 5*i = 5*g - 0*i - 455. Suppose 16 = 6*v - g. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1168 divided by 29773\nAnswer: -1168\/29773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215072 and 396022?\nAnswer: 82372576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 9*u**2 - 6*u - 38. Let i be b(4). Let v = -26 + 59. Let c = v - i. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573420840?\nAnswer: 2, 3, 5, 67, 73, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let n = -3.78 + 0.78. Which is the second biggest value? (a) 2\/3 (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -234375*o**3 - 22156250*o**2 + 3549500*o - 142040 = 0. Calculate o.\nAnswer: -7102\/75, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110425 (base 6) to base 14.\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1551*w + 18120 - 6824 = -15071 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24825178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**28*h))\/((h\/h**(3\/10)*h)\/h*h) assuming h is positive.\nAnswer: h**(-297\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 320101 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**3 - 3*l**2 - l + 5. Let g(b) = 14*b**3 + 5*b**2 + 2*b - 8. Give -5*g(w) - 8*r(w).\nAnswer: 2*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141513 is divided by 536?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073226558 to the power of 1\/2, to the nearest integer?\nAnswer: 32760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8315 from -0.6.\nAnswer: -8315.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9\/4, 3, -1\/3, -20.\nAnswer: -20, -1\/3, 0.2, 9\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*123)\/(18 + -17). Suppose -j - 4*c = 2*j - 99, 4*c + b = 3*j. Let x = 53 - j. Solve -2*l - x = -6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/8 + 2*s**2. Let i(d) = 21*d - 2*d**2 - 21*d. Determine l(i(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6 - -2) + -16 + -158 + 270.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*d + 2, 0*i = -3*d + 3*i. Suppose g - 597 = -d*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -124\/8537?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c - 20. Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7293 or -2?\nAnswer: 7293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 - 2*i - 19. Let h be o(0). Let w = h + 22. Suppose -4 = -4*q + w*q. What is the highest common divisor of q and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 2. Suppose 9*q = j*q - 2. List the prime factors of (0 + -2)*q + 12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71993019 to the nearest integer?\nAnswer: 8485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -1797, -4044, -7189, -11232, -16173?\nAnswer: -22012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8604 = 850*a + 106*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70622 is divided by 35311.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*15\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52103, -0.2, 3 in increasing order.\nAnswer: -0.2, 3, 52103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(4 + 1 - 4) - 2 + 2 + 1)*(39*h**3 - 11*h**3 - 16*h**3)*(7 - 2*h - 7) + 4*h**4 - 2*h**4 - 3*h**4.\nAnswer: 23*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0978 to 3 decimal places.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 16*i**2 - 3*i**2 + 35*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 12. Let s(z) = 11*z**3 + 4*z**2 - 2. Is s(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42147977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7 - 410*l - 4 + 414*l + 5. Let w(o) = -o**2 - 235 + 118 + 117. Give w(b(q)).\nAnswer: -16*q**2 - 64*q - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16366087.\nAnswer: 17, 19, 23, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/25 or 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 2\/(-114). Let t = -642.5 - -643. What is the smallest value in i, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 119, 44 in decreasing order.\nAnswer: 119, 44, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 <= -4077839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 301 + 46106?\nAnswer: 46410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 228259473 + -73?\nAnswer: 228259400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*1*-4*14\/(-8). Let r = y - -30. Solve -3*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 41702\nAnswer: 3\/41702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + (5 + -4*-1*sqrt(19) + 3 + 5)*1))**2.\nAnswer: 4896*sqrt(19) + 21348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5831 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*m**3 + 482*m**3 + 40*m + 5*m**2 + 12*m**2.\nAnswer: -2*m**3 + 17*m**2 + 40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2295, -4, -1 in increasing order.\nAnswer: -4, -1, 2295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 8*q + 15 - 63 - 61 - 6*q to the form j*q + g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*h, -4*d - 4*h + 19 = -9. Suppose -2*c + 46 = -2*j + 3*j, -d*j + 79 = 3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*t - 2*t - 2*t)*(-4 + 5 - 2) - 4*t + 0*t + 2*t + (-1 - 3 + 5)*(-t - 2*t - t) - 2*t + 0*t + t)*(0 - 3 + 5)*(-20 + 52 - 22) as p*t + b and give p.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 0*g)*(-1 + 4 - 4)*(-g + 4*g + 0*g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/34272 and -11\/74256.\nAnswer: 445536","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 a when four letters picked without replacement from yppayyppppppppppp.\nAnswer: 143\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -70. Suppose -y - 4*q = f, -q + 295 + 30 = -5*y. Let z = y - -67. Solve -z*x = 3*v - 6 + 21, 0 = x - 3*v - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/55350 and -127\/287820.\nAnswer: 1439100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*h - 120, 2*h - 156 - 24 = -2*x. What is the common denominator of -7\/211 and (-35)\/4*(-19)\/x?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**(8\/5)*(g**0)**35*(g*g*g**1)\/(g*g*g**(2\/9)\/g*g*g)*g**(-2\/7)*g*(g**(2\/5)*g)\/g*g assuming g is positive.\nAnswer: g**(428\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*x - 2862*c**3 - 2068*c**2*x - 5602*c*x - 5*c + 5*x + 2 wrt c.\nAnswer: -6*c*x - 17172*c - 4136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/4 - 21*q**4\/4 + 69*q**3\/2 - 56*q**2 - 96*q.\nAnswer: q*(q - 8)**2*(q - 6)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, m: 3}. Give prob of sequence mccm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -38. Let m = 18.9 - -11.54. Let b = m - t. What is b rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(-220)\/6. Suppose -2*z - t = -57. Let j be (9\/3 - -4)*z. Solve 3 = -5*g - j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11300 by -4.\nAnswer: 2825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, 1 w, and 1 m when four letters picked without replacement from wwmwrwsssswrrrtrrttt?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -9 + -5 - -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0 + 11 = -3*f, 4*t - 2*f = 14. Suppose -11*m - 110 = -159 - 226. Calculate the highest common divisor of m and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 2106?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11610\/(-33) - (-8)\/(-44). Let d = r - -3523\/10. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362630 is divided by 1362520.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -49. Let c = 45 + f. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 173?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -0.7 (c) -4 (d) 67 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u - 166 - 129 = -373. Calculate the smallest common multiple of u and 754.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -358 - -611. Suppose 0 = 2*y - 0*y + 274. Let n = i + y. Is 33 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 207\/(-6)*((-86)\/(-376) + 0). Let g = k - 58\/47. Calculate the common denominator of g and (-4)\/(-22)*(-364)\/(-14).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263867878.\nAnswer: 2, 5743, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-1\/3)\/b*b))**(-1\/21))**(-1\/53) assuming b is positive.\nAnswer: b**(1\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + (-48)\/(-28). Suppose 0 = 4*f - j*r - 10, 9*f + 2*r = 4*f + 8. Find the second derivative of -f*g + 3*g - g**2 + 0*g**2 wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -18) + -25 + 16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 13 + 6*b**2 - 4 + b - b**2 - 13 to the form h*b + r + n*b**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*k = 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-177)\/30 + 0 and (18\/(-5))\/((-48)\/45).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1695 - 1700. Suppose -5*g = -5*n + 25, 3*n + 3 - 6 = 0. Sort -3, a, g in decreasing order.\nAnswer: -3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/478895 and 109\/18886.\nAnswer: 6704530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + 1. Let m be z(-1). Let c = m - 3. Suppose -155 = -c*q - 31. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:48 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-13)\/(-4) + -2)*20 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 2*j + 7*j)*(-47*j - 5*j + 28 + 50*j) to t*j + q + m*j**2 and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 224001630 to the power of 1\/2, to the nearest integer?\nAnswer: 14967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.338 - -0.9.\nAnswer: 1.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -728 - -735. Let j(y) be the third derivative of 0*y + 0*y**3 + 0 + 1\/20*y**6 + s*y**2 + 1\/8*y**4 - 3\/20*y**5. Factor j(m).\nAnswer: 3*m*(m - 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Suppose n + 5*z = o, 2*n = z - 3*z. Let k(g) = 4*g + 2. Let s be k(n). Solve -2 + 4 = -s*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose b*m + 7 = -m. Let i(u) = -u**3 - 7*u**2 + u + 10. Calculate the remainder when 8 is divided by i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -19*o + 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-790)\/(-90) - (-2)\/9. Let l(f) = 5*f. Let r(s) be the second derivative of -s**3\/6 - 31*s. Suppose p = -0 + 2. Calculate p*l(z) + t*r(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4961*x - 711. Is c(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973326513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.22 - -2.02. What is c rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 8 = 2. Suppose 2*u - 4*o + 110 = 4*u, h*u + o - 110 = 0. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 13284*n**5\/5 - 3707*n + 6776. What is the derivative of g(q) wrt q?\nAnswer: 53136*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40808812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -70, -104, -140?\n\"Answer: -r**2 - 29*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*d - 52. Suppose 0 = l - 5*l + d. Suppose l*x - 8 = 0, -3*a + 0*a = x - 13. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-15)*-8 - 2. Let g(t) = 4*t - 1. Let o be g(1). Let -4\/5*s**2 + 4\/5*s**o - p*s + 6\/5*s**4 - 2\/5 + 2\/5*s**5 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1476476 and -2431.\nAnswer: -1478907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence appa when four letters picked without replacement from ppppapppapppaapppap.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/7)\/h**6*(h\/h**(-6))\/(h**(-2)*h*h)*(h*h\/(h\/(h\/(h\/h**(1\/4)))))**4*(h*((h**(-1)*h)\/h)\/h*h*h)**(-2\/41) assuming h is positive.\nAnswer: h**(1749\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4*q + 32*j**3*q + 16269*j**2 + 3*q - 2641589 wrt j.\nAnswer: 8*j**3*q + 96*j**2*q + 32538*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41868622062 + -1825890608372417\/43610. Let w = x - -2\/4361. Let u = w - -251\/5. What is the common denominator of u and -103\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 + i - 5. Suppose 5*o + 35 = -5*k, 163*k - 155*k = o + 16. Let g(q) = -17*q**2 - 2*q + 15. Determine o*x(m) - 3*g(m).\nAnswer: 3*m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 3*s + 1. Suppose 0 = -6*t + t + 10. What is w(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - s + 3*s)*(-26*s**3 + 10*s**3 + 9*s**3) + (-s + 9 - 9)*(-3*s**3 - 2*s**3 + 3*s**3).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-27))\/((15\/(-5))\/27). Let o be q + -7 + 0 + 5 + 0. Is -4\/409 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 451501, 902915, 1354331, 1805749, 2257169, 2708591?\n\"Answer: u**2 + 451411*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 + 1071*l\/5 + 426.\nAnswer: 3*(l + 2)*(l + 355)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) -2\/5 (b) 24 (c) -2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1096, 1076, 1056?\n\"Answer: -20*s + 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -27187*z**4\/24 + 65*z**3\/6 - 8*z**2. Let t be f(-5). Round t to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3659, 14972, 33827, 60224, 94163, 135644?\nAnswer: 184667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 - 1.87. Put b, 0.2, 0.5, 0 in descending order.\nAnswer: 0.5, 0.2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -840.000000357 + 840. Round k to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 4*t + t, -t + 27 = 5*s. Calculate the greatest common factor of s and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-34 - 32 + 94)*(2*h + 2*h - 3*h).\nAnswer: -56*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.2. Let o = 0.1 + -0.1. Let t = 0.1 - o. Are d and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 9*i - 9. Suppose -15 = -w - 19. Let s be t(w). Suppose -s*c + 68 = -9*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 603657426 by 201219142.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - 18*i**2 + 1 + 2*i**3 + 1 + 1872*i**4 - 1870*i**4 + 6*i to the form g*i**4 + y*i**2 + s*i + u*i**3 + f and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 18*g - 32. Let c be k(3). Suppose 0 = 9*z + c*z - 39. Solve q + 1 = a, 14 = -q - z*q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 81639.64mm?\nAnswer: 0.08163964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 954 - 462. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 252*r**2 - r + 1. Let d(b) = -378*b**2 + 2*b - 2. Let z(f) = 5*d(f) + 8*x(f). What is the units digit of z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4052, 0, 59 in ascending order.\nAnswer: 0, 59, 4052","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**5 + 26*j**5 + 18*j**5 + (j**4 + j**4 - j**4)*(-2*j + 2*j - 2*j).\nAnswer: 49*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from nyqqyyynbdyfnq.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(343) + sqrt(343) + (sqrt(343) - (sqrt(343)*-2 + -5)) + sqrt(343)) + 1 + 0)**2.\nAnswer: 1512*sqrt(7) + 49473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 676493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 763451 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4166 >= -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4774\/(-226765) + 4394\/1140.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1728 = -3621*b + 3639*b. Calculate the lowest common multiple of b and (18\/5)\/((-5)\/(-25)).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w + 3*v + 7 = 0, 3*w - 5*v + 7 = 0. Let y(l) = -3*l - 2. What is the units digit of y(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6412*z - 50 = -6402*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13018836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + -0.04. Let l = 4.1 + v. Let q = -0.3 - 0.2. Which is the nearest to 0.2? (a) -2\/7 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -243, -1000, -2261, -4026?\n\"Answer: -252*f**2 - f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*1*sqrt(77))\/(sqrt(11) - -2*(sqrt(11) - -2*sqrt(11)) - sqrt(11)) + 3.\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250144 to the power of 1\/2, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**3 + u**2 - 1. Let g be b(1). Let f be (-13)\/(-3) + (-2)\/g. Suppose -f*p - 14 + 70 = 0. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2238269 to four decimal places.\nAnswer: 0.2238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 825 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 0, 1468 in decreasing order.\nAnswer: 1468, 38, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12569675 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (21\/(-9) + 1\/3). Suppose 2*b - h = -3*g, -3*b = 3*g - 2*b - 5. Suppose 0 = -4*u + 3 + 9. Solve u*r + 7 = g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23825580 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, k: 17}. Give prob of sequence kkh.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751944 to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.82865, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28*(-124)\/372*45\/10\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -607*a**8\/28 - a**7\/21 + 117*a**4\/4 - a + 219. Find the third derivative of d(z) wrt z.\nAnswer: -145680*z**3 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.8 and 390.\nAnswer: 398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 9*b + 312. Suppose -2*k = -152 - b. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -34 - (17 - (-8 + 26))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3090, -5459, -6360, -5055, -806, 7125?\n\"Answer: 123*d**3 - 4*d**2 - 3218*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013967999924 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/40 - 3*d**5\/10 - 9*d**4\/8 - 2*d**3 + 437*d**2 + 2. Factor g(u).\nAnswer: -3*(u + 1)**2*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 6:32 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2663010149682*i - 2 + 2 + 2663010149681*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 5. Suppose y = 5*p + q*y - 77, 5*y = -3*p + 43. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 1) + 24\/(-7). Put 4, -0.2, j in decreasing order.\nAnswer: 4, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134149 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2 - s + 3\/2*s**2. Let j be 27\/21 - (-10)\/(-35). What is q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110650076041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3))**(-5\/6)*o**(-8)*o*o\/(o\/(o\/((o\/o**(3\/2))\/o)))*o*o)**19 assuming o is positive.\nAnswer: o**(-475\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -31, -70, -135, -232, -367, -546?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5746.7 to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6224*q**2 + 5 - 649*q**2 + 1 + 1.\nAnswer: -6873*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 21*q + 11. Let s be h(-21). What is the greatest common factor of s and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -56249 in increasing order.\nAnswer: -56249, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/30*(-550)\/(-1320).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Suppose 3*n + 6 = 0, 39 = 3*w + 5*n + 1. Suppose 4*h - 8 = w. What is the units digit of c(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33834 or -33857?\nAnswer: -33857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 841205 and 3735.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 3*q**2 + 3*q + 2. Let p be t(-4). Suppose d + 3 = p. Suppose 2*v - 4 = 0, 0 = 2*f - d*v - 73 + 19. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 103?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50453, -50431, -50409, -50387, -50365, -50343?\nAnswer: -50321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101001 + -11001?\nAnswer: 110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, o: 5}. Give prob of picking 1 o and 2 u.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*f + 3 - 211*f - 3 as w*f + o and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*d**3 - 31*d**3 + d - 230*d**3 + d as z*d + c*d**3 + b*d**2 + x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w. Let z be n(-1). Let u = 1 - z. Suppose -m - u = -47. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3361 (base 9) to base 3\nAnswer: -10102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 4. Let j be s(-4). Suppose 0 = -5*y + y - 4. Suppose 4*i + 10 = -10. Put j, i, y in descending order.\nAnswer: j, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -1370 - 2054. Let s be ((-3)\/5 + 1)\/(x\/(-535)). What is the closest to 1\/2 in s, 1\/8, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*g**2 - g + g**3 + 2*g + 30*g**2 wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1451*z + 352 = -719*z - 724*z. Solve -157 - 19 = -z*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = r - 0*a - 17, 3*r - 37 = 2*a. What is the greatest common divisor of 55 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -115, -109, -4 in decreasing order.\nAnswer: 20, -4, -109, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-7)\/(112\/(-72)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 5*x**6\/24 - 17*x**5\/12 + 5*x**4\/4 - 40*x**2. Factor i(g).\nAnswer: 5*g*(g - 3)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 4*v**2 + 4*v - 4. Let r be a(3). What is the common denominator of (-27)\/(-4) + r\/3 and (1\/44)\/((-1)\/(-202))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -5*g - 21. Let x = -7.1 - -8. Let z = x - 0.4. Put z, g, -2\/7 in descending order.\nAnswer: g, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aah when three letters picked without replacement from hhaaaaaaaahaaa?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.9592 centimeters in micrometers?\nAnswer: 6809592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdoshduohsdhosouishh. Give prob of picking 1 d and 2 s.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7763 is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123144 by 168.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-276)\/15)\/((-6)\/15). Suppose 2*v + w = 4*v. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10*c - 2. Let f(k) = -9*k + 2. Determine 2*f(t) + 3*s(t).\nAnswer: 12*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-15)*(-35)\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10660134 and 52686?\nAnswer: 31980402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (109*j + 31*j + 58*j)*(-138*j - 94*j + 141*j) as o + t*j + a*j**2 and give a.\nAnswer: -18018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 13*h + 67 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/((-42)\/58684) + 36\/(-3150)*-25?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkllkklklkllklkkllkk. What is prob of sequence kllk?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 10. Let u be w(-8). Let b = u + 4. Suppose 0 = 3*s + 15, 5*h - 8 - b = -3*s. Solve -h*j + 3*j - 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i - i - 3*i. Let z(u) = 387*u**2 - 132*u**2 - 126*u**2 - 125*u**2. Calculate z(n(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25856, 52315, 78774, 105233?\n\"Answer: 26459*u - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919.3302 litres to millilitres.\nAnswer: 919330.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000120364414 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 3*m**2 + 2*m**2 + (-2*m + 3*m + m)*(2*m + 2*m - m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1016582 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.1 - -10.6. What is the nearest to 2 in 4, -1\/6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5460*v + 1363*v + 1372*v + 1360*v + 1364*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 917219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Suppose -k - 1 = -5. Give u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 3383159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41929070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -5. Let c(r) = -r - 2*r + 10*r + 1 - r**y. Does 8 divide c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x*x*x)\/(x\/(x**0*x*x*x)))\/(x*x**(5\/7)\/x*((x*x**(-11))\/x)\/x) assuming x is positive.\nAnswer: x**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/11 + 2\/11*b**3 + 24\/11*b - 12\/11*b**2.\nAnswer: 2*(b - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014 less than -8.43245?\nAnswer: -8.41845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 917056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 16. Let g be 8\/60 + 236\/30. Give z(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 3130*v - 92443. What is k(29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 - 7*w**2 - 68*w + 154. Determine f(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5929 - 20?\nAnswer: 5909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 9*f**2 - 2*f + 21. Let w be j(9). Suppose -327*x = -417*x - 270. Sort -1, w, -7, x in descending order.\nAnswer: w, -1, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 29*w + 71. Let s be l(-27). Does 3 divide (-57)\/(-76) + s\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 108?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122177*c + 122466*c + 27166 for c.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0 - 2 = 3*x, -4*a + 3*x + 32 = 0. Let g = a + 2. Solve -2*f - l = -0*l + g, -3*f = -2*l + 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -327471574\/7 smaller than -46781654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c. Let z(b) = -424*b. Calculate q(z(k)).\nAnswer: 1696*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-210))\/2)\/(117\/(-1170))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/3240 - c**5\/108 - 25*c**4\/216 - 11*c**3\/6 + 5*c**2. Let g(m) be the first derivative of y(m). What is o in g(o) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 45, -19, -3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, q: 3, m: 4}. What is prob of picking 1 f, 1 q, and 1 m?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 19*h**5 - 114*h**2 - 19*h. Suppose -21*t + 2 = -23*t. Let m(o) = -o**2. Let u(a) = t*r(a) + 114*m(a). What is the second derivative of u(f) wrt f?\nAnswer: -380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 1\/12*n**4 - 1\/60*n**5 + 0*n**3 + 5*n**2 + 0 + 0*n. Find f, given that x(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -641007.451 to the nearest one thousand.\nAnswer: -641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 56. Let y(a) = -2*a + 7497. Give 3*x(w) - y(w).\nAnswer: 2*w - 7329","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3 + 9*n - 11*n + 3*n. Let m be o(-7). Does 9 divide (m\/3)\/((-12)\/144)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 6*f**2 - 2*f + 14. Let b be j(6). Suppose 0 = -3*a - b*a. Let g(p) = p - 7*p + 7*p + 6*p**2 + p**3 - 7*p**2 - 3. Determine g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.312 + 0.012. Let p = 6 + r. Let y = -2 + 6. Which is the third smallest value? (a) p (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1708624 + 359624. What is v rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n + 3. Let d be k(-1). Suppose d = -2*h + 49 - 39. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (50 - (-45 + 69))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107540 is divided by 53542?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 94. Let c = 85 - n. Suppose -2*j + c*j = 168. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7572800 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 7*j + 6*j + 2*j**3 + 2 - 8*j**2. Let f(u) = -u**3 + 5*u**2 - 1. Determine -5*b(c) - 8*f(c).\nAnswer: -2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from looolooloohhloolol. Give prob of picking 4 l.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 + b + 4. Suppose -5*m + 25 = q - 1, -5*q = 3*m - 20. Let j = 5 - q. What are the prime factors of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 987?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.8. What is the biggest value in n, 4\/7, 3, -9\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 5 + 74 + -40.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 6*d + 11. Let t be (-1)\/(3*1\/42). Calculate the remainder when 4\/t + (-284)\/(-14) is divided by z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 23*v**3 + 118*v**2 + 192*v - 288.\nAnswer: (v - 12)**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 6) + -4 - 396\/(37 - 73)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34304 by 16.\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose -x*l + 0*l = -24. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 + 2*r + 2. Let a = -94 + 81. Let s be (-6)\/24 - a\/4. Determine b(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130138 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and -9.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 - 3*w**2 - w + 91. Let u(o) = -2*o**2 + 5*o + 1. Give -5*b(r) - 6*u(r).\nAnswer: 7*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3361.996127 + -3362. Round v to five dps.\nAnswer: -0.00387","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 235.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p**2 + 20*p + 21. What is the lowest common multiple of 4324 and i(7)?\nAnswer: 30268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/(-10))\/(2\/(-170)). Suppose -726*c - 273 = -739*c. Let b = c + q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.17506987\nAnswer: 0.017506987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 9*u - 6. Let f(x) = -2*x**2 + 17*x + 13. Let h(b) = -4*f(b) - 7*w(b). Let y(p) = 1360*p - 13593. Let s be y(10). Give h(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1658670, -4, 4 in descending order.\nAnswer: 1658670, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 12*t**2 + 14*t - 43. Let c be x(-14). Let l = c + -134. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 1:45 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 + i + 1. Let s(h) = -2*h**3 - h**2 + 3*h + 5. Give s(j) - 3*t(j).\nAnswer: -5*j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 17.22.\nAnswer: 17.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.197 and -11172?\nAnswer: 11171.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19768 + 21928. Is 216 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7. Let a(t) = t - 6. Let i(w) = 39*w + 738. Let r be i(-19). What is r*g(p) + 2*a(p)?\nAnswer: 2*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6*m**2 - 7 - 16*m**2 + 25*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-12)*k)\/(k*(k*k**(4\/5)*k)\/k))\/(k*k*k*k**2\/k*k)**23 assuming k is positive.\nAnswer: k**(-509\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 7*v + 19. Suppose 0 = -5*n + 4*b + 61, -n = -2*b + 7*b + 11. What is the units digit of m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845787029 equal to 1845787028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 24*l + 12*l - 19*l. Let n(r) be the second derivative of -r**3\/6 - 2*r. Give o(n(f)).\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -17, -1.4, 1\/5, 9, 1\/26?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50263810 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**3 + 17*b + 17. Let i(j) = -227*j**2 + 227*j**2 + 2*j**3 + 6 + 6*j + 2*j**3. Let p(d) = -6*h(d) + 17*i(d). Factor p(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 712, 707, 702?\n\"Answer: -5*j + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = h. Suppose -h*u = -43 - 225. Find the common denominator of 63\/4 and 0 + -1 + u\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-156)\/(-8))\/13)\/(6\/8). Let p(r) = 20*r**g - 11*r**2 - 10*r**2 - 18*r - 19. Let h be p(-9). What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -131826.\nAnswer: -65913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3517 - (5 + (-32)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/1120*-14*8\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 32, -5, 5 in descending order.\nAnswer: 32, 11, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.9 + 63. Let y = t - -3. Let r be (-1 + (-51)\/(-54))\/(2\/(-8)). Which is the smallest value? (a) -4\/3 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 3 + 4 - 1.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 3. Suppose m*z - z - 160 = 0. Let d = -7 + 15. Calculate the greatest common divisor of z and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34790, -35082, -35880, -37436, -40002, -43830, -49172, -56280?\n\"Answer: -42*z**3 - z**2 + 5*z - 34752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20618*r - 20646*r + 41227*r.\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -510 - -511?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 8 = -4*r. Let b = -3 - r. Solve 4*m - 26 = b*p, -3 = -3*m + 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.28676 millennia to centuries.\nAnswer: 742.8676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -37.5. Let g = l + -54. Let o = g + 17.5. What is the biggest value in 3, -7, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -71, -1 in decreasing order.\nAnswer: 8, -1, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0 - 7 - 2. Let q be (6\/m)\/(1\/(-7)). Find the second derivative of -3*a**2 + q + 3*a - 3 - 3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21341640 and 14880?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9129, 36503, 82127, 146001, 228125, 328499?\nAnswer: 447123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*o = 63 + 202, 0 = -4*v - 5*o - 295. Let a = 98 + v. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 4*t + 43, t - 70 = -5*c - 102 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327261 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89719\/3 - -29918. Let d be (1\/3)\/((-2)\/(-6)). Let f be 1 + (d - 2) - -13. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 2. Suppose 14*l - 12*l = m + 9, 19 = 4*l - 3*m. Let t(i) = i - 1. Let o(a) = a - 6. Let g(b) = -o(b) + 3*t(b). Determine l*y(u) - 3*g(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222 is divided by 555.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18\/5, -0.027443, -0.05?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-204)\/(-10) - (-2)\/(-5). Suppose 63*y - 51*y = 1200. Calculate the highest common factor of m and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*b = 28, 3*k + 4*b - 18 + 7 = 0. Find the third derivative of 15*u**2 - k*u**2 - 10*u**3 + 4*u**2 wrt u.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 7) to base 13\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412103*m = 412139*m + 972 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5797\/(-238))\/31*35\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/18 and 55\/144834788.\nAnswer: 1303513092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(3*8\/180). Differentiate y - 3*x**4 + 9 - 2*x**4 with respect to x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -184*u**5 - 127*u**5 + 209*u**5 + (384*u**5 - 7*u**4 - 3*u**4 + 14*u**4 - 4*u**4)*(-2 - 1 + 4).\nAnswer: 282*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*w + 4 = 0, 8*g + 2*w + 4 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70172?\nAnswer: 2, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2224 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/((-3)\/(90\/(-4)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -478, -1194, -5 in decreasing order.\nAnswer: 3, -1, -5, -478, -1194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1 - m + 4*m - 2*m. Let k(a) = a**2 + 21*a + 113. Let f be k(-11). Let o(r) = -2*r + 3. What is f*w(v) + o(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 74 - (1819 - 1909)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-30)*(-25)\/(-10)*-3. Suppose -196 = -2*q - 3*q + n*f, -2*f = q - 42. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:33 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 7*s - 11. Let o be k(-4). Let h = o - 15. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/2)\/(-4))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -153 + 164 + (-2 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7378538 is divided by 2562?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 12. Let i be (15\/(-6))\/((-1)\/2). Let r(u) = i*u - 12 - 2*u + 0 + 0*u. Let y(n) = -2*j(n) - 3*r(n). What is y(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 137 and 118946.\nAnswer: 16295602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 1001 - 737 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*h - 3*h + 0*h)*(1 + 2 - 6) + 0*h - 5*h + 2*h + 9 - 9 - 20*h)*(-h**2 - 2*h**2 - h**2) in the form j*h**3 + v*h + f + u*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1317719674 - -1.139.\nAnswer: -1317719672.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 16*u + 40. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4323 - -5?\nAnswer: -4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.216 - 0.016. Which is the smallest value? (a) -14 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 23*r + 40352 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -61*o**2. Let s(d) = 3*d - 3*d - 10*d**2 + 0*d + 5*d**2. Determine s(n(v)).\nAnswer: -18605*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 7. Let g(l) = -13*l - 363. Determine 2*g(w) - 14*i(w).\nAnswer: 2*w - 628","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9147 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/31)\/y*y**(-1\/3) assuming y is positive.\nAnswer: y**(-118\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 4*b = 21*f + 346, 4*f = 3*b + 1397. Let i(r) = -1 + f*r**2 + r**3 - 708*r**2 + 352*r**2. Calculate i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let f(v) = 3*v - 34. Let w be f(14). Let i(b) = -w*b + 26*b + 5*b + 16*b. Calculate i(m(x)).\nAnswer: -39*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -35*t + 20. Does 21 divide 2545\/t - (-40)\/180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z = -0*z - 72160 - 1510. Is z bigger than -1392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1542 divide 96156978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1880 = -4*s + 5*h, 52*h - 504 = -s + 49*h. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049233.\nAnswer: 293, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -82+-17.623104\nAnswer: -99.623104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 135*n**2 - 2090*n + 712. What is i(-43)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 2560, 5791, 10324, 16165, 23320, 31795?\nAnswer: 41596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*h**3 - 975*h**3 + 464*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -67. Let w be (-1)\/(-2)*36\/q. Let 0 + 3\/5*b - w*b**2 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 542.8 - 543. Let p = 72.1 - 246.1. Which is greater: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 65ec81 + 1b?\nAnswer: 65ec9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 263*4*3\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 652 - 650. Solve z*s - 3*v + 2*v = -4, -2*v = 5*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 + 28*j**4 + 16*j**3 - 48*j**2.\nAnswer: 4*j**2*(j - 1)*(j + 2)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(24\/21)*60. Suppose 5*r = -15 + g. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2080 and 26260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 - -0.3. Let v = 1.9 - 2. Which is the second smallest value? (a) 0.3 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15325*m - 2 + 15251*m - 30480*m + (2*m + 2*m - 3*m)*(-1 - 1 + 3).\nAnswer: 97*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -16, -49, -116, -229, -400?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -239 - 12*z**3 + 239 + (2 + 1632*z - 1630*z + z**2 - 15)*(-3*z - 4*z + 5*z).\nAnswer: -14*z**3 - 4*z**2 + 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/((-6)\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -6. Let u = 3\/5 + y. What is the second biggest value in 3\/4, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 878154, 878133, 878112?\nAnswer: 878091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 76626 - 120095 = 0. Is 107 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81398 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 2*w - 3*w + 10*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/20)*y*y\/y**(-38))\/(((y**(-34)*y)\/y*y)\/y**(-2\/3)) assuming y is positive.\nAnswer: y**(4409\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 31*d - 16. Let v(b) = 32*b - 13. Calculate -5*s(o) + 6*v(o).\nAnswer: 37*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -1.05. Let w = j + -0.8. Sort -5, -2, w in descending order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.549 rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 + 1112*p**3 - 78388*p**2 + 153456*p - 76176 = 0. What is p?\nAnswer: 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 868 + 18.\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -7)*1\/9. Let c = 10137 - 10136.6. Put -9, c, 0, z in increasing order.\nAnswer: -9, 0, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12367?\nAnswer: 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -269.86 - -266. Let y = d + -0.14. Suppose 0 = -0*w + 5*w - 10. What is the nearest to w in 2\/9, -2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**16)\/x**(-1\/2)*((x*x**(2\/23))\/x)\/((x*x*x*x*x*x**(3\/20)*x*x)\/x) assuming x is positive.\nAnswer: x**(5261\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*h + 205*h - 5*k = -19, -2*k = 8 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:18 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 6*u + 5. Let s be j(5). Let l(c) = -c**2 + c - 4. Let o be l(s). Put o, -3, 3 in ascending order.\nAnswer: o, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/25)\/a*a*a**16*a*a)\/(a\/a**(-18)*(a*a**(-3\/17))\/a*a) assuming a is positive.\nAnswer: a**(-741\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -13, -31, -55, -85, -121, -163?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 13. Let x(z) = -1. Let g(w) = -j(w) - 3*x(w). Let l(m) = m + 9. Let y(i) = 4*g(i) + 5*l(i). Is 9 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 + -3. Let o(x) = 3 + 2*x**2 - 3*x + x**3 - 3 - 4. Let i be o(-3). Which is the nearest to -2\/3? (a) 2\/3 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*f = 2 - 16, -4*f = 2*h + 16. Let u be (h\/4)\/((-7)\/98). Suppose -u = 2*l - 3*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-214)\/24 + (-1 - -1) and (-37)\/12 - (-3)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-712)\/(-48) - 15)*(49 - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 4. Let c(j) = -j + 1. Let r(u) = -5*c(u) + z(u). Suppose -5*x = -3*x - 2. Let b be r(x). Which is greater: -3\/46 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1220\/9 + -79084\/585. Let o = q - -3\/13. Which is the smallest value? (a) o (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106093 is divided by 52963.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1425961240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v - 5 + 1\/3*v**3 + 3\/2*v**2. Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13709418867 and -9.33.\nAnswer: 13709418857.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721 is divided by 837.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**2 + 551*a + 1678. Determine r(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Let n = 1.7 + -0.7. Let l = 0.50504 - 0.40504. What is the nearest to 0 in l, n, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 8*u - 180. Suppose 0 = 2*s + 2*p + p - 16, 0 = 3*s - p - 13. Suppose 3*h - 5*k + u = s*h, 2*h + 3*k = 16. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-114)\/(-1653) - 81\/(-87). What is the third biggest value in 83\/4, k, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -240*d**3 + 2*d**2 + 73*d + 2. Let t(a) = 716*a**3 - 7*a**2 - 218*a - 7. Let o(q) = -7*r(q) - 2*t(q). What is the second derivative of o(y) wrt y?\nAnswer: 1488*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2405)\/((-2 - 0)\/2). Suppose f = 6*z - z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 6. Let d be r(-3). Suppose -2*k + 1 - 45 = d. Let l be (k\/(-55))\/(2\/140). Solve -3*w = w - 2*b - l, -w = 5*b + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + 11\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -73 + 0 + -1 + 2. Suppose 656 = 27*o + 8. What is the common denominator of 242\/b - (-6)\/o and 7\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.543744 milligrams?\nAnswer: 0.004543744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -139 - -20854?\nAnswer: 20716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -534232739 divided by 10079863?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -149*k**3\/3 - 2*k**2 + 3*k. Let q be v(-5). Suppose 5*c + q = 2*m, 210 + 533 = m - 3*c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4639167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13 = -d, 11 = 5*v + 2*d - 5. Factor -l**2 - v*l**2 - 3 - 3799*l + 3805*l.\nAnswer: -3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = i - 1, 7*i - 3*i + 13 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 7*c - 8*c)*(-6*c + 3*c - 4*c) + c**2 + 3 - 3.\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 0*c**2 - 5*c**2 + 0*c**2 + 3*c**2 - 4*c**2 + c**2 + 0*c**2 + 0*c**2 - c**2 + c**2 - 2*c**2 + (-2*c - 3*c + 7*c)*(2 - c - 2) - c**2 + 0 + 0.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -0.6. Let l = 0.3 - d. Let m = 32.9 + -33. Which is smaller: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Suppose 0*i - 5*i + 3*d - 22 = 0, v*i + 29 = -4*d. Let g(a) = -12*a - 11. Is g(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -73*b**3 + 7*b - 24. Let x be c(-5). Suppose -29*r = -35*r + x. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-120) + -4*(-3)\/30\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 5 = f, f - 1 = -z. Suppose 4 = f*g - 12. What is the remainder when (27\/g)\/(4\/16) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8515 - -4?\nAnswer: -8511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyveaykhvyvy. What is prob of picking 1 h and 1 y?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + z**2 + 3*z**2 + (2*z + 0*z + z)*(-4 + 0 + 2)*(4*z - 8*z + 14*z).\nAnswer: -61*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 4*b + 5*b)*(5*b - 3*b - b)*(3*b**3 - 3*b**3 + 8*b**3 + (-b - 3 + 3)*(4*b**2 - 5 + 5) + b**3 + 0*b**2 + 0*b**2).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46062503, -92125006, -138187509?\n\"Answer: -46062503*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278092026 a multiple of 1083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -1 + 21 + -18 + (-7 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2471 - 1909. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 14. What is the lowest common multiple of g and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 9 - 29 = 0. Suppose 5*w + 2*h - 68 = 0, -q*h = -2*w + 4 + 4. What is the remainder when ((-234)\/(-156))\/((-2)\/(-28)) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1058 + -1057.96252. What is i rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2. Let r(t) be the first derivative of 9*t**2\/2 - t - 187. Determine f(r(k)).\nAnswer: 405*k**2 - 90*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmmm when four letters picked without replacement from {d: 1, m: 1, v: 2, j: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21181 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 66. Let g(r) = 3*r - 8. What is the remainder when y is divided by g(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5011271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3752 divided by 938\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*(-14 - 6 + 33)*(-13 - 3*v + 13) to l + p*v and give p.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, t: 5, r: 4}. What is prob of sequence tddr?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1112, -3605, -7474, -12713, -19316, -27277?\n\"Answer: r**3 - 694*r**2 - 418*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/2 - 87435*u**2\/2 - 317770200*u + 11175575250.\nAnswer: -3*(u - 35)*(u + 14590)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14390\/4281 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2111342 (base 5) to base 4\nAnswer: -20212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130053 (base 14) in base 10?\nAnswer: -653145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*747\nAnswer: 74.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d - 1. Let i be o(-2). Let f be (-1 + -1)\/((-10)\/(-30)). Let v = f + 16. Sort 3, v, i in descending order.\nAnswer: v, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/4)\/(m*m*m**(1\/2)\/m*m))\/(m**4)**(-2\/101) assuming m is positive.\nAnswer: m**(-1483\/404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75696740 is divided by 1240930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 162, 454, 1092, 2208, 3934, 6402, 9744?\nAnswer: 14092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 3*d - 5. Let v(s) = -s**2 - 4*s - 6. Let n = 4 + -9. Let y(r) = n*l(r) + 4*v(r). Let i(c) = -7*c**2 + 5*c - 5. What is -i(j) - 5*y(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 - (-140 - (-111 - -44)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 22*p**3 - p**2 - p - 1. Let x = 45 - 42. Is a(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5506511498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r - 0. Suppose 0 = -0*s - r*s + 40. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 1781 = 152. What is the remainder when s is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in -3882, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7134*x**5 + 4790*x?\nAnswer: -142680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 1\/5 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3813*r**3 - 3755*r**3 + 7604*r**3.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 8098002?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11845 + -0.1184518237. What is n rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34 and -42\/38995.\nAnswer: 38995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -29*v**3 + 18*v**3 + 1 - 31 - 5*v**2 + 8*v**3 + 4*v**3 + 3*v. What is b(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/50 of a litre in millilitres?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 2900 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-30)*p**0\/(p\/p**(-1)) assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:08 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -464526\nAnswer: -1\/154842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13100046*w + 163 + 13100048*w - 162.\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/6))**(2\/87)*(i*(i**(-3)\/i)\/i)**21 assuming i is positive.\nAnswer: i**(-21919\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-i**3 + 2*i**3 + i**3) - i**3 + 4*i**3 - 2*i**3 + (-2*i**2 + 1 - 1)*(2*i - 4*i + i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43501033 is divided by 7250169.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 c when three letters picked without replacement from sdlsldlcdsdcd.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9766d (base 15) in base 11?\nAnswer: 2a9183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 take away -341793.47303?\nAnswer: 341937.47303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 2*t - 56. Let k be w(0). Find the common denominator of ((-4)\/10)\/(k\/350) and 77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61877, -123761, -185643, -247523, -309401, -371277, -433151?\nAnswer: -495023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/954 and 47\/7420.\nAnswer: 66780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 215 = -5*i, -2*k - 2352 + 2285 = 4*i + 3*k - 2*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1040)\/(-180) - (-1 - (-14)\/18). Suppose 5*a + 5*s = -2 + 257, -2*a = -4*s - 120. Calculate the greatest common divisor of w and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 12:56 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let p(l) = 717*l. Give p(x(f)).\nAnswer: 1434*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 1. Let s(r) = -2. Let k(f) = 3*n(f) - 4*s(f). Let x be k(-3). Let a = 0.23 + -0.32. What is the third smallest value in a, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20043 and 5752953.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 4*b - 25 = 0, 0 = 4*p - 3*b - 35. What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-2) - (-3 - 9*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1072*f - 48125 = -8461 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -269.7 (b) -166 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + x - 17 = 0, -4*x = 2*z - 4*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzusuuqshhuzzosu. Give prob of sequence ouzs.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3258 * 0.1.\nAnswer: 0.03258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19078 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 53 * -0.5\nAnswer: -26.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - d**2 + 2*d**2 - 10*d**2 to the form u*d + h*d**2 + j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 10, 36, 62, 88, 114?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*t - 6*t**4 + 16*t)*(-361 + 361 + 10*t).\nAnswer: -60*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11139083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1228002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**5\/20 + 5*o**4\/12 - o**3 + 3*o**2\/2 - 3*o. Suppose 4*r + 32 = 3*c, 3*c + 5 = -2*c - 5*r. Give u(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 179a5?\nAnswer: 179aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 11. Let h(b) = b**3 + 1. Let i(g) = -156*g + 159. Let a be i(1). Give a*h(c) - k(c).\nAnswer: 2*c**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 (base 15) in base 11?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 2125, 4779, 8497, 13279, 19125, 26035?\nAnswer: 34009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + 61. Let c = n + -92.339. Round c to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*g + 50 + 49 - 150 + 51.\nAnswer: 762*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*v - 37 = 0, w - 3*v + 3 = 4*w. Let b be (w - 3\/1) + 2. Suppose -5*k + b*d + 470 = 0, 3*k - 2*k - 2*d = 90. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - f**5 + 3*f**5 + (-4*f + 11*f + 5*f)*(3*f**4 - f**4 - f**4) - 39*f**5 - 70*f**5 + 31*f**5.\nAnswer: -65*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -1. Let s = 1774 - 1777. Let t(p) = -3*p**2 + 3*p + 4. Let k(y) = -2*y**2 + 2*y + 3. Let l(x) = h*k(x) + s*t(x). Calculate l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaataatxa. Give prob of picking 1 a and 1 t.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4959 at least as big as -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15 - 21 - (-1 - 2591)?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -54. Suppose h + 5*w = -13, 0 = 2*h - w - m - 7. Solve 0*s = h*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -20 + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -36. Let l(p) be the second derivative of -1\/70*p**5 + 0 + 1\/21*p**h + 0*p**4 + 0*p**2 - 2*p. Factor l(b).\nAnswer: -2*b*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 241*m**2 - 1677*m + 1397. Calculate c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 9\/1933?\nAnswer: 9\/1933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 4:58 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5\/(-250)*145\/87*3\/(-5).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 27*b**4 + 2940*b**3 + 11121*b**2 + 10068*b - 1260 = 0.\nAnswer: -105, -2, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {n: 3, u: 1, d: 1, e: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.15 - 8.15. Put 0.62, -0.2, b in ascending order.\nAnswer: b, -0.2, 0.62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -19 + 8 - (0 + 13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/(-1440)*(-16)\/(-12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/6 + 14*u + 4. Suppose 3*a = a - 4*m - 10, -15 = -3*a + 4*m. What is v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + 8 + 47720 + -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3632 - 3632.0004534. What is b rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*m - 1917*m - 5000*m = -359154 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17248149 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/3)\/(2\/18*-3). Let s = 25 - -1. Let i = s + g. Solve -5*z - 4*l - 9 = 0, i = 5*z - l + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*j = -20223446 - 41376502, -4*j = -2*q + 61599946. Suppose 4*o - 5*w = q, 5*o + 5*w = 3*o + 15400025. Round o to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244908203?\nAnswer: 2244908203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*f + 2231 = -793 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 2701?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9489 is divided by 862.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:00 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 14*r + 702 = 0. Calculate the remainder when 71 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2626*b - 652*b - 445 + 899 - 454)*(3*b**2 - 2*b**2 + b**2) to u*b**3 + n*b + v + w*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 + 2*q + 2*q**2 - 2*q.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*c - 16 = -52, -3*y - 4*c = 6. Solve -5*n = -3*f - 1, 4 = y*n - 2*n - 4*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 13. Put 1, -4, h in decreasing order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 - 93*w**2\/4 - 12*w.\nAnswer: 3*w*(w - 16)*(2*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g**2 + 24*g + 75. Let v be d(-3). Calculate the greatest common factor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, -69, -13 in ascending order.\nAnswer: -69, -17, -13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:13 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150 + 149.9. Which is the second biggest value? (a) -1 (b) -0.3 (c) r (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55.1803025 - -55.18. Round u to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20560872*v**3 + 535082*v**2 + 25*v wrt v.\nAnswer: 123365232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-6)*(-3)\/(75\/(-20)). Suppose -x*g + 5*g - i = 416, -2*g = -2*i - 276. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x - 214 = -5*p, 0 = -2*p - 2*x + 82. Let k be 28\/p - (-20)\/(-21). Which is the nearest to 0? (a) k (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1120\/62 - 8) + (-10)\/155\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1647*1026.9.\nAnswer: 1691304.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/33 and 67\/348?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-165 - -151 - (-5 - 0)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 6, 4 in descending order.\nAnswer: 6, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 711 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 581318 and -2.\nAnswer: 581316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*m, -6*m = 2*l - m - 56. Suppose -14 = -2*u + l. Calculate the remainder when 40\/12*(-1 - -10) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 + 42 = 0. Let d(q) = 2*q + 3*q + 1 - 2*q. Is d(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -455, -2431, -5927, -10937, -17455, -25475?\n\"Answer: g**3 - 766*g**2 + 315*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9912\/1180*((-6)\/(-7) - -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + -5 + (-55 - -60)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 218*-0.2\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051751435 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657160 is divided by 899?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156)*-1*-3)\/(6*-1*sqrt(12)) + (sqrt(1300) - (1 + sqrt(1300)) - (sqrt(13) - (sqrt(156) - sqrt(156)*3)\/sqrt(12))))**2.\nAnswer: 22*sqrt(13)\/3 + 1582\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163806432.\nAnswer: 2, 3, 1706317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wssws. Give prob of sequence ssw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = -14. Suppose 2*n + f*n - 190 = 5*s, -4*s - 53 = -n. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 2*l - 573 + 573. Let g(f) = -3*f + 1. Calculate g(o) + k(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*t - 24 = 0, 3 + 1 = 4*t. Let i = 6 - h. Put -2, i, 3 in descending order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 16403136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 8:15 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 11056*a + 3453443. Give g(304).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 18*b + 3)*(19 - 9 + 6) - 2*b + 2*b + 2*b.\nAnswer: 290*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*o + 12, 0 = 2*l - 2*o + 3 + 1. Let t = -2 + 11. Calculate the remainder when -1 - (1 - l) - -26 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3*s**2 - 5*s + 6. What is the smallest common multiple of 22 and h(-4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -688.4 times 53.68?\nAnswer: -36953.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3*3\/9)\/1. Let z be (0 + -1 + u)\/3. Suppose -j + 21 - 6 = -3*l, z = 5*j - 3*l - 27. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252857269793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.278 (b) 19 (c) -0.3 (d) -4 (e) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200022002202120 + 2?\nAnswer: -1200022002202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 850030.5 decades?\nAnswer: 8500.305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6627\/7 (b) -3 (c) -0.4 (d) 1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/8246 and -20\/2487037.\nAnswer: 94507406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*-2 - sqrt(110))\/((2*sqrt(30))\/sqrt(3)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9964.537 take away -0.07?\nAnswer: 9964.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27e682 (base 15) in base 7?\nAnswer: 22223024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144560235 divided by -5.\nAnswer: -28912047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = h + 5*d + 9, 2*h - 4*d + 20 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 385.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82\/651 or 1?\nAnswer: -82\/651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b2 + -5?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5864536 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6709 is divided by 248?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/4 - 29*f**2 + 763*f\/4 = 0. Calculate f.\nAnswer: 0, 7, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 240, 520, 906?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*r - 17 - 2 + 1 = 12, 198*v = 188*v - 5*r + 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 + 6*f - 8. Let k(a) be the third derivative of -a**6\/20 - 7*a**4\/24 + 3*a**3\/2 - 2*a**2. Give 6*k(n) + 7*u(n).\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 1. Let x be q(2). Suppose -x*g - 13 = -2*b + 8, 3*b = -4*g - 11. What is the tens digit of -4 - (-36 + (-6)\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q**2. Suppose 4*p + p + 85 = 0. Let x = -13 - p. Let a(z) = x*z - 3*z + 3*z - 3*z. Determine a(l(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 9*f**2 - 10*f + 6. Let m be p(-10). Let j(v) = -v + 2*v**3 - 5 + v**2 - m*v**3 + 2*v**3 + v**3. Give j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006918 to 7 dps.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 4*g + 0*g)*(3 - 3 - 2) + (152 + 30 - 46)*(-1 - 2 + 1)*(-5*g - g + 3*g).\nAnswer: 820*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m. Suppose i + 2*i - 33 = 0. Let d(x) = -x - 4*x + 3*x + i*x. Determine a(d(r)).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*i + 30, -3*i + 8*o + 31 = 3*o. Suppose 3*m - i = 37. Let n(p) = -4*p - 6. Calculate the smallest common multiple of n(-4) and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26768 is divided by 465.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5 (b) -222584 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (632 - 5) + 6 + (-3)\/1. Suppose 0 = -5*l + 9*b - 7*b - 1543, -2*l = -4*b + c. What is the units digit of (l - -1)*46\/(-69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 - 3*j - 1. Let r be s(-2). Let p be 2 - ((-11)\/(-3) - r). Let l(v) = 6*v - 24. Let w be l(3). Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2948)\/(-440)*(2 - 12) - -2.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1709, -49, 0.06, 0.3, -3\/2 in decreasing order.\nAnswer: 1709, 0.3, 0.06, -3\/2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55489 + 20668 = -37*j + 11799. Is 126 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 792 divide 418968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 556364 divided by 139091\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00345566 rounded to five dps?\nAnswer: 0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -28?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64653697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 13. Let a be (-5)\/t + 7\/3. Suppose a*z = 6*z - 364. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -335, -504?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 11:08 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25908.285 and 118.6.\nAnswer: 26026.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -7. Suppose 4*b - 451 + 75 = -g*p, -4*b = -p - 381. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (25\/20)\/5 - 36\/24. Let i be (-4)\/10 + (-26)\/(-40). Let w = 87 + -86.5. Put 3, l, i, w in ascending order.\nAnswer: l, i, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 16. Let s be w(-11). Suppose -4*x - 2*k = -s - 3, 0 = x - 5*k + 9. What is the remainder when 14 is divided by (0 + 1\/2)\/(x\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33*-188.8982\nAnswer: -6233.6406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 193, 775, 1743, 3097, 4837?\n\"Answer: 193*c**2 + 3*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5*t + 24*d**2*t**2 + 23*d*t**2 + 3*d wrt d?\nAnswer: 60*d**3*t + 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/4*(-25)\/500.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - (-16 + 6 + 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150.1 + 143. Let q = 7 + u. What is the nearest to -1 in q, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(108) - 4*sqrt(108)*4))\/(2*-3*sqrt(324)*-2).\nAnswer: -25*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 20 = 2*b, 4*r = -3*b. Suppose 0 = -h - r*h. Suppose h = 3*q + 2*q - 40. Solve w + q = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 2618?\nAnswer: 20944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 129 = -3*y - 126, -y + 1 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96)\/sqrt(3))\/sqrt(4))\/((-2*sqrt(400) - sqrt(400)) + sqrt(4)))**2.\nAnswer: 2\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2, -1\/8, -1\/2, 1 in decreasing order.\nAnswer: 2, 1, -1\/8, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151.5 - 123. Let g = 31.3 + -3.3. Let r = i - g. Which is the smallest value? (a) 0.1 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 13225*l**2\/7 - 1489536*l + 285380172.\nAnswer: (l - 378)**2*(l + 13981)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 36 + -33 - (-2 + 11)) + 4 + 49\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (40\/5 + -9)*-3. What is the nearest to i in 1\/10, -1\/5, 83?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**4\/9 - 16*o**3\/9 + 14*o**2\/3 + 18*o + 70. Let d(r) be the first derivative of n(r). Factor d(t).\nAnswer: 4*(t - 7)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 + 4*m**2 - 3*m**2)*(17738626 - 17738626 + 7554*m) - 2*m**3 + 0*m**2 + 0*m**2 to o + z*m + s*m**3 + t*m**2 and give s.\nAnswer: 30214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n + 20. Suppose -5*x + 3*x = -n. Suppose 0 = -0*v - 3*v + x*o + 31, 4*o + 10 = -5*v. Solve 0*b = -v*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409604 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37, 1, -33, -3 in increasing order.\nAnswer: -33, -5, -3, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*x = 285*x - 104. Let w(d) = d**3 + 14*d**2 + 20*d + 106. Let i be w(x). Solve 6*a - 11*a + i = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/81 - 38\/(-90)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 6*v - 4. Let i be x(7). Suppose -16 = -i*r - r. Solve r*c + 1 + 1 = 2*a, -3*a = -c - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.037 + -0.123. What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.31. Let c = b + -0.21. What is the third smallest value in c, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/4)\/(900\/(-400)). Which is the biggest value? (a) 1.42 (b) 0.3 (c) -5 (d) -0.3 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22139672 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2901977 rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 545966, 545970, 545976, 545984, 545994, 546006?\n\"Answer: c**2 + c + 545964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79358600.\nAnswer: 2, 5, 419, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:06 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3234 and 4165854.\nAnswer: 29160978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 16*t + 0 + 5*t**3 - 3*t**4 + 9\/10*t**5 - 1\/10*t**6 - 9\/2*t**2. Factor j(l).\nAnswer: -3*(l - 3)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/3, -27, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, n: 1, p: 4, a: 3, b: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -159454?\nAnswer: 1753994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35\/432289 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1260*q + 3*q**3 - 1260*q.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g*x**3 - 12*g*x**2 + g - x**3 + 29 with respect to x.\nAnswer: -9*g*x**2 - 24*g*x - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 10*d - 4. Let j be (-30)\/4 - (-3)\/2. Let k be (-26)\/39 - (-44)\/j. Calculate the remainder when q(k) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 16. Let w(t) = -7*t. Calculate w(g(k)).\nAnswer: -35*k - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*3*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0.3, -47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8259047, 16518089, 24777131, 33036173?\nAnswer: 41295215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1358 - -5?\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-6\/19)\/x)\/x)*(x*((x**(-3)\/x)\/x)\/x*x)\/x*x**(1\/3)*x*x**(1\/2))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26707 + 1?\nAnswer: 26710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 8, -31, 83, 18 in descending order.\nAnswer: 83, 38, 18, 8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.72 + 3.28. Which is the nearest to 1\/4? (a) f (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k + 1596. Let h = k + 758. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/(95\/(-494)*24\/(-10)).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*k - 141*k - 30 = 0. What is the least common multiple of 24 and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82? (a) -2\/21 (b) 6.4 (c) 3\/8 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:14 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = h + 1429, 0*g - h - 954 = -2*g. Suppose 3*z - 27 = 5*p, -2*z = 5*p - 2*p - 56. Calculate the highest common divisor of g and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 + x**4\/24 - 5*x**3\/6 + 3*x**2. Let z be (-1)\/2 + 27\/6. List the prime factors of h(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 34. What is the highest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*x - 12 = 0. Suppose -1137*f**4 + 57192*f - 5055*f + 209952 + 1139*f**4 + 144*f**3 + 3888*f**x - 5481*f = 0. Calculate f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let h = g + -1. Suppose -13 = -3*f - h. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, 1, -9613, -5 in increasing order.\nAnswer: -9613, -5, 1, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxk when three letters picked without replacement from kkxxxxkxxkkx?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/19*(682\/(-66))\/31.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x + 5. Suppose -4*l = 5*r - 18 - 29, 5*l + r - 43 = 0. Is z(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 8, e: 4, k: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 0*h**3 + 16*h + 8 - 3*h**2 - 2*h**2 + 15*h**2.\nAnswer: 2*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3 - 5 + 5*a - 4 + 2 - a**2. Let t be p(3). Factor 6*r**3 - 2*r**4 - 2*r**4 + 10*r**t - 2*r**5 + 4*r + 2*r**4.\nAnswer: -2*r*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649*p**3 - 10945*p**2 - 16*p + 10945*p**2 + 12*p.\nAnswer: -649*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 + 21*y**2 + 78*y - 216 = 0.\nAnswer: -4, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/4 - 2691*h**2\/4 - 10803*h\/4 - 8109\/4.\nAnswer: 3*(h - 901)*(h + 1)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -18. Solve 3 - 14 = -n + u*k, 2*k = -4*n + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + (-18 - -17) - (-6 + -30).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3*65\/(-117))\/((-4)\/12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 278, 1419, 3328, 6011, 9474, 13723, 18764, 24603?\nAnswer: 31246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(500)) + 5*sqrt(500)*-2 + sqrt(500))**2.\nAnswer: 112500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b*((b*b**4)\/b)\/b)\/b*b*b)*b)*b)**(-6))**(2\/89) assuming b is positive.\nAnswer: b**(-60\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (1 + 1) - -1. Let w be 6\/(-33) + 72\/33. Suppose h = -h - w. Which is the biggest value? (a) h (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.538 and 978.\nAnswer: 986.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -16.93. Let x = -1.07 + g. Let w = x - 2. What is the biggest value in -3\/7, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/629 (b) 0.09 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 17 = -4*l - 7, 4*u = 5*l - 2. Suppose -5*x - l + 22 = 0. Suppose 4*o = 3*z - 15, 2*o - 20 = -o - x*z. Are o and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 9*f + 10. Does 16 divide p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g**2 + 3*g + 2. Suppose -2*p = -w - 7, 3*p - 4 = -5*w - 0. Let t(y) = y**3 + 2*y**2 - 4*y - 3. Give p*z(x) + 2*t(x).\nAnswer: -x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -3\/2*i**3 + 0 + 8*i + 1\/4*i**4 + 3*i**2. Factor g(j).\nAnswer: 3*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1424\/442935 + -1\/965. Let q = r - -1369\/3672. Which is the closest to -0.1? (a) 1\/3 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 2*q + q**2 + 0*q - 1. Let c be i(-5). Suppose 9 = c*p - 3. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(20))\/sqrt(4).\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652b05 (base 13) to base 15.\nAnswer: 31e39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 78017\nAnswer: -312068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.888949nm?\nAnswer: 0.000000000005888949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13713229 to the power of 1\/2, to the nearest integer?\nAnswer: 3703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/15 + 1108*l**3\/15 - 153458*l**2\/5 - 1188*l. Determine b, given that m(b) = 0.\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8292998656974 less than -0.1?\nAnswer: -3.9292998656974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0086 and 2.495736538.\nAnswer: 2.504336538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 257?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 12:32 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 916*l - 62250.\nAnswer: -2*(l - 375)*(l - 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1162, -4656, -10466, -18586, -29010, -41732?\n\"Answer: n**3 - 1164*n**2 - 9*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373*i**3*z**3 - 80*i**3*z - 762*i*z**3 - 3*i*z**2 + 18*i*z - 5*z**3 - 8*z wrt i.\nAnswer: -2238*i*z**3 - 480*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (sqrt(539) - (4 + (sqrt(539) + 3)**2)) + sqrt(539).\nAnswer: -552 - 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897079 is divided by 47214.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 6. Let b(j) = 10*j + 1587 - 1582 - 8*j - 3*j. Give -7*b(k) + 6*t(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-10) - (-81788)\/460) + -9 is divided by 122.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1224511 + -52?\nAnswer: -1224563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73677 or 72516?\nAnswer: 73677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4, 157 + 140 = 5*r + 4*j. Let s = r + -42. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*l**4 - 3843\/5*l**2 - 27587\/5*l - 13034 - 169\/5*l**3.\nAnswer: (l - 190)*(l + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 1 + (-1 - (4 + -7))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 112600.\nAnswer: 112596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.714 - 0.78. Let s = -390 + 415. Let b = s + -26. Which is bigger: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -20. Let y = 0 - -5. Let d = y - j. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(6) + sqrt(96))\/sqrt(3) + -3.\nAnswer: -180*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) 0.927 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1122 - -3180. What is the highest common factor of l and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2 + 1. Let n be x(1). Let p = -493 + 502. Let s(u) = 5*u + p - n + u**2 - 8. Determine s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 2}. Give prob of sequence rra.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose g*x - 3*c - 3337 = 0, 0*x - 4*c - 3336 = -2*x. Let a = -930 + x. What is a rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.021346 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from dppm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96385257?\nAnswer: 3, 17, 37057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5329 divide 376493850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*((-1)\/(-12))\/1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2544 > -2545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsff when four letters picked without replacement from ffmfftffsmtfsffffss?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.7 or 0.231?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8391890 and 0.1?\nAnswer: 8391890.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*w + 3*b - 8, -w - 5*b = -10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -3)\/(-3 + 4) - -528. Suppose f - 8*f = -u. What is the highest common divisor of f and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 101011?\nAnswer: 100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1354832 and -181\/14225736.\nAnswer: 28451472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -52517.\nAnswer: 52517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 1.\nAnswer: -10, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 s when four letters picked without replacement from {e: 8, o: 5, j: 4, s: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from khhpwnw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 23\/3*z**3 - z**2 + 0 + 67\/60*z**5 - 28*z + 0*z**4. Differentiate o(r) with respect to r.\nAnswer: 134*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69252, -6, 2\/3.\nAnswer: -6, 2\/3, 69252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801679801 to the power of 1\/3, to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 11*k + 0*k - 3*k + 20*k.\nAnswer: 35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 33\/6)*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11))**(-10)*x**(1\/3)*x\/(x**(-11)\/x) assuming x is positive.\nAnswer: x**(380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 439 - 442. Let j be a\/2*24\/(-9)*-1. Which is greater: j or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -406156*x**2. Let a(d) = -2*d**2. Determine b(a(k)).\nAnswer: -1624624*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1001101001110111101 (base 2) to base 3\nAnswer: -121001221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 30, 68, 122, 192, 278?\n\"Answer: 8*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/36274086 and 11\/9.\nAnswer: 36274086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**3*w)\/w*w)**(9\/10) assuming w is positive.\nAnswer: w**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-12 + 5)) + (6 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.2 + 0.2. Let p = i + 11. Which is the third smallest value? (a) 1 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/176320820 and -69\/282113312.\nAnswer: 1410566560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -1225*x**4\/6 - 530*x**2 - x - 34. What is the derivative of q(c) wrt c?\nAnswer: -4900*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*t, 20 - 4 = 4*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - -18) - (691 + -702)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380803, -380829, -380855, -380881, -380907, -380933?\nAnswer: -380959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/18 and -7\/21948.\nAnswer: 65844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 232*d - 2 - 150*d + 533*d to the form k*d + s and give k.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n. Suppose 2*t - 21 = -t + 3*j, -4*j - 22 = -2*t. Let d = 22 + -16. Let m(f) = t + f + 3 - d. Give m(b(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*z + 161*z - 486*z - 42*z**3 + 164*z.\nAnswer: -42*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b**2 + 29*b - 3. Let g(x) = -106*x. Determine g(h(z)).\nAnswer: -1484*z**2 - 3074*z + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.7. Sort -2, -4, l in descending order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyiggygyig. What is prob of picking 3 g and 1 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6740 and 1204438.\nAnswer: 12044380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8208787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*k)*(-2 - 2 + 3) - 1248*k - 1056*k + 115*k - 608*k as a + i*k and give i.\nAnswer: -2795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - 0 - (0 - 0). Let t be ((-6)\/c)\/(3\/(-16)). List the prime factors of -10*(-5)\/((-50)\/t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.016 - -0.053. Let v = -28.931 - f. Let z = 51.9 + v. What is z rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 86673*x**2 - 2*x + 4. Let c be m(-2). Round c to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 - 3*t**3 + 16*t**2 - t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278 - 198. Suppose 2*f = 6*f - j. Suppose f = 8*g - 3*g + k, 2*g - 8 = -4*k. Is g less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23843829 by 822201.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/((-1)\/3). Let y = 19.858 - -0.042. Let v = y + -20. What is the nearest to 0.1 in v, b, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -519 - -521. Suppose -r + 25 = 7*z - 3*z, 0 = 2*z - r - 5. Solve -7*k = -m*k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1741988*d*l**3 - 37*d*l**2 + 2*d*l - 3*d + 899*l**2 wrt l?\nAnswer: 10451928*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 20*v**2 - 24*v + 26. Let n be a(11). Let f = -883 - -885. Solve f*g = -n*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77689756?\nAnswer: 2, 281, 69119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11000, 21867, 32726, 43577?\nAnswer: 54420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 8:58 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let c(x) be the first derivative of -x**3\/3 - x**2 + 2. Let u(k) = 2*a(k) - c(k). Let m(o) = -2*o - 3*o + 3*o. What is m(u(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = -b, -2 = -b - y + 4. Let w be 128\/b*(-9)\/6. Let r = w + 46. Calculate the least common multiple of 12 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 32*i + 9 - 3)*(10 - 8 - 3) to the form r + t*i and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788181 is divided by 362.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-30)\/(-45)*1\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 110\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -222 and 0.050999.\nAnswer: -11.321778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 379*f**6 - 2*f**3 - 4*f**2 + 51 wrt f.\nAnswer: 45480*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*l**3 + 12*l**2 + 7 + l**3 - 12*l**2 wrt l.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/26 - (7500\/325)\/(-6). Suppose 2*c = g - 4, 0 = 2*c - 0*c + 2. Solve 0 = -g*l - 0*l + 4*d - 12, 2*d = -i*l + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5551501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -1709326.\nAnswer: 1709331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -33, -45, -61?\n\"Answer: -2*i**2 - 2*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1741848*s*y**5 + s*y**3 + 125*s*y**2 + 25*s - 27*y**2 - 4 wrt y.\nAnswer: 104510880*s*y**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + 50. Suppose 3*f = -0*f + 3*s + 93, -4*s = 3*f - r. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 23*j - 42. Let d be c(14). Suppose -3304 - d = -4*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10826430 and 55302?\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 + 10*s**3 - 103*s**2\/2 + 42*s.\nAnswer: -s*(s - 12)*(s - 7)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 - 279*l**2 + 3312*l - 1587.\nAnswer: 3*(l - 23)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 - 2.3. Let d = g - -4. What is the second biggest value in d, -0.1, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3 - 12008*n**2 - 33671341*n + 14497528122 = 0. What is n?\nAnswer: -6193, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1322 - -2551. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4)*w\/(w*w\/(w\/(w*w**(6\/11)))*w))\/(w**(1\/9)*w*w**(6\/5)\/w))**21)**(-46) assuming w is positive.\nAnswer: w**(1252258\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 - 185. Put -5, 4, m in ascending order.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 52 = 7*u. Suppose -3*r + 2*z + 41 = 0, -2*r = r + 5*z - u. What is the remainder when 20 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1513*s - 4 - 1644*s.\nAnswer: -131*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -9*k + 24. Solve 0 = -k*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16b31a (base 12) in base 6?\nAnswer: 12230034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/49 + 7\/98?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 1 - (227 - 195)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 187147 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-39.9205.\nAnswer: 239.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9576401 a multiple of 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.2. What is the nearest to 0.7 in -1\/3, o, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*t - 6, g + 3 = 4*g + 3*t. Let d = 24.793 + -25.093. What is the nearest to -0.03 in -0.2, g, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g + 40. Let p be z(-5). Suppose -p*i - 3*d + 515 = -0*i, -i + 75 = -5*d. Suppose 292 = 7*h - i. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25279838 > -25279828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10450909421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(54)\/(sqrt(6)*-2))\/sqrt(108) - ((sqrt(216)\/sqrt(6))\/sqrt(3) - (-1*(sqrt(3) + -1 + -4))**2).\nAnswer: -47*sqrt(3)\/4 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**2 - 3*n**5 + 33*n**3 - 33*n**3 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = -a. Suppose -5*f = -51*f + 29532. What is the second derivative of 19*o**a - f + 40*o + 642 wrt o?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 3*k**4\/2 + 8*k - 3. Differentiate p(j) wrt j.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 2, 0.1, 1796, -11, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20315956 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcmmqmqcmjmqj. Give prob of picking 3 q.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*o = -704495 + 674495 for o.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1. Let d(o) = o**3 + 4*o**2 - 8. Let j(p) = d(p) - 3*m(p). Let x = 1 - 5. Give j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*j - 3 + 4 - 2.\nAnswer: -143*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/30 + 5*j**4\/24 - 2*j**2. What is the second derivative of p(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2728 and 43\/4774?\nAnswer: 19096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203667082*v**4 + v**3 - 453*v**2 - 1408*v + 19 wrt v.\nAnswer: 4888009968*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + j**2 - j - 1. Let a(n) = -9*n**3 - 4*n**2 + 4*n + 2. What is -a(c) - 4*m(c)?\nAnswer: 5*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - x - 4. What is the units digit of n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 766 = -2*n, 0 = 3*n + b + 141 - 1265. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**3\/3 - 7*i**2\/2 - 3*i + 24. Let x be m(-6). Suppose 5*c = -3*o + 58 + 379, x*o + 3 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 549 - 315. Let x = m - 233.5845. Round x to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/3 - -55\/9. Let f = 1183 + -1187. What is the second biggest value in -6, o, 2\/3, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 37\/130?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1032\/15169 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1536 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 79*n**2 + 294*n - 452. Let d be q(-75). Let y = 11\/3 + -41\/12. Let z = 2\/169 - -324\/1183. Which is the biggest value? (a) d (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 80*w - 25. Let g be u(31). What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8318037 (base 9) to base 7.\nAnswer: -52514551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446*i**3*q*y**3 - 3*i**3*q*y - i**2*q*y**2 - 2604*i*q*y**3 + i*y**3 wrt i.\nAnswer: -2676*q*y**3 - 18*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421555 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-4 - (-14 - -3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b6 (base 16) to base 15\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22940752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6640\/110 - (-2472)\/(-6798)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4437\/(-34))\/(-29)*2\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l = 45*l. Let v(w) = -w**2 - w + 5. Let f be v(l). Is f < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -297*r**3 + 10990*r**2 + 26*r - 2339. Calculate a(37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let t be 570\/(-20)*p\/3. Calculate the greatest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116 - 56 - -7) + -40.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 27. Let f(i) be the third derivative of i**5\/12 - 5*i**4\/24 + 2*i**2 + 19*i + 7. Determine f(y(q)).\nAnswer: 5*q**4 + 265*q**2 + 3510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33088*w**2 + 69441?\nAnswer: -66176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14461 + 14506. Calculate the greatest common factor of 3045 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 21*v = -28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(4\/9))**(1\/48)\/(z**(-2\/7)\/(z*z**0*z*z*z)*(z\/(z*z\/(z\/(z**(-2\/7)*z))))**(1\/14)) assuming z is positive.\nAnswer: z**(425\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 > 1461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 8 = -4*q + 5, -37 = -4*q - 5*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 249 = 241. Let n be (-8)\/(-192)*j*6. Solve -p - 10 = n*h + 4*p, 4*p = 5*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454086 < 454086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 880 and 2588972320.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o**3 + 0*o + 0*o**4 + 11\/30*o**5 - 9*o**2 + 0. Let w(y) = 2*y. What is s(w(m))?\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1756236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/2 - 205\/6. What is the closest to k in -3, -0.09, 4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c16 (base 13) to base 9.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 3*l - 3 = 0, -893*j = -892*j + 5*l - 25 + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/9274 and 95\/884?\nAnswer: 4099108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2. Let v(a) = 1134058*a. What is b(v(k))?\nAnswer: -3858262642092*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 36*r + 10*r + 13*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 6040.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 6*b - b. Let z = 206 - 188.6. Let f = z - 21.4. What is the biggest value in f, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 156\/10*(-1980)\/27. Let x = p - -1835. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17634, 17201, 16770, 16341, 15914, 15489, 15066?\n\"Answer: s**2 - 436*s + 18069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.02, 1, 3\/7, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*b - 119*b = 48 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 572 + -569. Suppose 2*x - 100 = -3*l, i*x - 92 = 2*l + 32. Calculate the lowest common multiple of 12 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -328160, -2 in descending order.\nAnswer: 0, -2, -328160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2379 + 2390. What is the highest common divisor of c and 418?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*i + 99*i + 13*i - 37*i + 10584 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 4, s: 4, x: 1, o: 1}. What is prob of picking 1 k and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 y when three letters picked without replacement from jqqqjqqjjqqyq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 36. Let n = 131 + -136. Calculate the remainder when l(n) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 3?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -433\/8. What is the smallest value in h, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -432453, -864884, -1297313, -1729740, -2162165, -2594588?\n\"Answer: f**2 - 432434*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -3163?\nAnswer: -3167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.02 - -1.82. Which is bigger: x or -4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 230, 639, 1248, 2063?\nAnswer: 3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1306 + -1303. Let h(d) be the first derivative of -1\/2*d**4 + 4 - d - 1\/3*d**g - 1\/2*d**2. Give h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8365897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5797*n**2 + 6760 wrt n?\nAnswer: 11594*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(45))**2)*-2*1.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32470957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:26 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 45. Let g be k(0). Let t = -195 + g. Let i = -90 - t. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4821*o + 4814*o + 21175 = 0. Is 121 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (185\/(-703))\/(10\/(-4))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -266*q + 16897. Determine w(56).\nAnswer: 2001","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**4 + 9085595*x**3 - 9085585*x**2 - 9085595*x + 9085590 = 0. What is x?\nAnswer: -1, 1, 1817118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-70) + 33\/(-5). Let a(o) = o**2 + 8*o + 1. Determine a(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -4*j - 14, -3*t - 3*j + 21 = 0. Let b = 14 - t. Let x be b\/(-2)*1\/(-1). Solve -i = x - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*s**5 + 5027*s + 12*s**4 - 12*s**4 + 26 + 227*s**5 - 4979*s wrt s?\nAnswer: 2780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 36. Suppose 2*q = w - 62, -t*w = -0*w + q - 186. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*m**3 - 1107*m + 386*m**3 - 773*m**3.\nAnswer: -m**3 - 1107*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-2*l**2 + 3*l**2 + 0*l**2) + (-4*l + 37*l - 21*l)*(-40*l - 5*l - 11*l).\nAnswer: -671*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + d + 2*d = -127, 4*p - 112 = 5*d. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-332 - (3 + -2))\/(-1). Suppose -q = 2*u - 5*u. Let f = u + -60. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4\/4 + 2*m**3 - 20*m - 30. Let o = 47 - 52. Let w be s(o). What is the greatest common divisor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 11*m + 13. Suppose 136 = -6*g - m*g. Let a = 21 + g. Let y(i) = i - 8. Give y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 50*d + 270621. Is 34 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 51240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3533 and -814.\nAnswer: 2875862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + k + 4, 67*k - 6 = 70*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 13*l**2 + 16*l + 5. Let i be v(10). Let h = 28 + i. Sort -2, 0, h, -0.4 in descending order.\nAnswer: 0, -0.4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5*i - 30, -22*i + 2*b = -18*i + 24 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-36)\/(-12)))\/(-6*(-1)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12590 - -12580. Let q be 1\/(-4) + 22\/(-8). Is 5\/s*q\/((-6)\/(-2692)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6629*n + 31336. Determine v(4).\nAnswer: 4820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ce2 (base 15) in base 10?\nAnswer: -6287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239957955 is divided by 2839.\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*u**2 + 23 - 7*u**2 + 81 - 8*u - 6*u - 561*u**4 + 10*u wrt u?\nAnswer: -6732*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -54. Suppose 4*d + 2*n - 24 = 3*n, 4*n + 31 = 3*d. Suppose 4*k - q - d = 0, 4*q = -4*k - 0*q + t. Is k != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149975.499223652499 - 2633235593.500776727501. Let m = q + 2633385597. Let v = m + -28. What is v rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600891 divided by 600891.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.5. Let f = 235 - 324. Let d = f - -86. Put d, u, -0.1 in decreasing order.\nAnswer: -0.1, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683*y + 652*y + 589 = 0. Suppose 0 = -3*w + 3*i + 42, -2*i = 3*w - 3*i - 40. Let c be (-3)\/12 - w\/(-4). Solve -c*n + y = 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1843*m - 84 + 40 + 44 - 287*m.\nAnswer: -2130*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 49*j**2 - 13 - 48*j**2 to the form b*j + a*j**2 + m and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 172394*r**2 - 68403*r + 3 wrt r?\nAnswer: 344788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) + 10 + -7. Let y(x) be the first derivative of -2\/27*x**3 + 2 + 1\/18*x**4 + 2\/45*x**5 - 1\/27*x**6 + 0*x + 0*x**o. Find q such that y(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*d = 8, 4*d - 2 = -2*g + 2*d. Let j be ((-8)\/7)\/(g\/(-7)). Solve l + 2*y = -2*y + 12, -32 = 4*l - j*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -1000122?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 - 11 + 751*a**2 + 13 + 195*a**6 - 739*a**2 wrt a.\nAnswer: 23400*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 93 = -2*v, -1454*y - 9 = 2*v - 1451*y for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + i - 15 = 0, -5*l + 0*i = 3*i - 85. Let a(d) = -d**2 + 12*d + 33. Let x be a(14). Solve 6 = x*b + 21, -5*g + l = -5*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450 - 1474 + 2927 - 10*j.\nAnswer: -10*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.3, 0.4, -70?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*g + 168*g + 4170 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 1857 + 789 + 734)*(v - v + v) to j*v + x*v**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -30, 5, 0, -4, 4, 22995 in descending order.\nAnswer: 22995, 5, 4, 0, -3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/19? (a) -2\/15 (b) 14 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 2 - (-6 - -1). Suppose 4*a - 6*a + 14 = 5*q, -y*a - 5*q = -20. What are the prime factors of 140\/12 + a\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -2*t + 6, -t - 2 = 3*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*h + 8*h + 15*h + (2 + 1 - 1)*(-1 + h + 1) - 34 + 30*h + 34 to the form a + g*h and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from mxaaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/108 and (-17 + 7 - -3) + (-305)\/(-36)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7388653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(135\/(-50)))\/(4\/(-6)). Suppose -x - 2*h = -0*h + 2, 8 = -2*h. Let v be (12 - 11)*x\/1. Which is greater: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(18*-56)*8.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b. Suppose -o + 5 + 4 = -4*j, j = -5*o + 24. Let i(z) = 11*z - 2. Let a(m) = -22*m + 5. Let f(c) = o*i(c) + 2*a(c). What is v(f(g))?\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 171714089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1888 - 1884. Solve 0 = -i*c + g + 11, 0*c + 5*g = 2*c - 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 962482, 1924976, 2887470, 3849964?\n\"Answer: 962494*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 17, 46, 87, 140?\n\"Answer: 6*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 181*o**8\/336 - 233*o**5\/60 - 12*o**2 - 13*o. What is the third derivative of c(n) wrt n?\nAnswer: 10860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/6)\/(480\/72)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 78*w - 82*w + 16, 3*j = w - 15. Suppose -1 = -24*l + 23*l, 2*y + w*l + 107 = 0. Is -53 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 96?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 1. Let l(b) = -19*b - 4. Let o(g) = 12*j(g) - 3*l(g). Let f(v) = -5*v. Calculate f(o(p)).\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71708 and 92196?\nAnswer: 645372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - ((3 - 0) + 115 - -1). Let o = r + 163. What is the smallest common multiple of 2 and o?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = g. Let j(x) = -8*x**2 + 2*x**3 - 8 - x**3 - 2*x**2 + x. Let t be j(10). Is g > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.2. Suppose -57*s = -76*s + 76. Sort s, 1\/9, y in increasing order.\nAnswer: 1\/9, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 2, i: 2, m: 6}. Give prob of picking 1 i and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*q - 203*q - 288 = 0. What is the remainder when q is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 360 = 2*s, -2*d + 4*s - s + 163 = 0. Let g(x) = -x**3 + 5*x**2 - x + 7. Let h be g(5). Suppose -d = -h*b - 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23763 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 7 = -7. Let n be 1 + (21606\/65 - b\/(-5)). Suppose 4*t = 2*y + 444, 0 = -3*t - 3*y + y + n. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301202 (base 4) to base 11.\nAnswer: -2422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(2565\/(-57)))\/(2\/(24\/(-154)))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146795705?\nAnswer: 5, 7, 1307, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 8*w**2 + 9*w + 7. Let m(a) = a**3 + 4*a**2 - 3*a + 3. Let c be m(-5). Let n be t(c). What are the prime factors of 3\/(-3 + 0)*n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*y - 3, y = 2*d + 3*d + 19. Let f(v) = v**3 + 4*v**2 + 3*v + 4. Calculate the smallest common multiple of 4 and f(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*w - 182047 + 194952 for w.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007440994 rounded to 6 decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + 2.06. Let d = f - 6. Let l = -0.2 - 0. What is the second biggest value in l, d, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from {n: 1, z: 1, v: 2, d: 10}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 14 = 5*y + 4*i, 0 = -2*y + i - 11. What is the third smallest value in 2\/13, y, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*sqrt(136)*-2)\/(sqrt(392)*2*-4 + sqrt(392) + sqrt(392)))**2.\nAnswer: 1700\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:39 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20635142 to the nearest integer?\nAnswer: 4543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 67 = 23. Suppose -g = -d - d. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -32. Let h be -1*7*6\/(-21). Factor -1\/4*x**4 + 0*x + 1\/4*x**3 + 0 + 1\/4*x**h - 1\/4*x**j.\nAnswer: -x**2*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 + 6*k - 3. Let p(s) = 2*s - 1. Let n be p(2). Suppose -5*z = -20, -n*r = -3*z - z + 34. What is y(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -0.6, -0.1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*27\/(-30) + ((-22)\/88)\/(40\/(-192))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*o - 1016, o + 264 - 1022 = -3*w. Find the third derivative of w*v**6 - 41*v**6 - 26*v**6 + 170*v**2 - 359*v**2 wrt v.\nAnswer: 22200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**5)))\/s)**(-14)*(s**(7\/4)*s*s)**(-1\/35) assuming s is positive.\nAnswer: s**(1957\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 5*j + 132. Give l(12).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 4247929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**8\/672 - c**7\/140 + c**6\/240 + c**5\/40 + 15*c**2. Solve q(o) = 0 for o.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6410305*j**3 - 58*j + 56*j - 6410366*j**3.\nAnswer: -61*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/6*(-2)\/8*-12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 36. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16666575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 8*g**2 + 2*g + 12. Let y be s(-8). Let z be y\/(-18) - (-75)\/27. Solve -k = 4*r - 2, 0*k + 6 = z*k + 4*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**3 - s**2 - 1. Let t(y) = 3448*y**3 - 2863*y**2 + 3. Let c(l) = 3*f(l) + t(l). Find the third derivative of c(p) wrt p.\nAnswer: 20778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.982827 millennia in years?\nAnswer: 4982.827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*f**3 + 77*f**3 + 83*f**3.\nAnswer: -374*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 7*r - 34. Let k(c) = 2*c**2 - 13*c + 67. Let p(a) = -11*i(a) - 6*k(a). Is p(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.169 and -2861.1.\nAnswer: -2860.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136\/(2\/(24\/(-5)))*-5*22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 299, 866, 1941, 3692, 6287, 9894?\nAnswer: 14681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -226, 2\/9, 2, -9\/7?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 2\/13 (c) -0.3 (d) 29 (e) -12\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0, -31, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*o - 81*o + 282 = -222 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 7 = k + o, 2*k + 14 = 5*o. Is (-413)\/k - (-1 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24\/2155 + 8788\/15085. Which is greater: 2\/1265 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39392657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9134)\/490 - (89\/(-623))\/(((-105)\/(-10))\/3).\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 1, x: 2, i: 1, s: 4}. What is prob of sequence hix?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) -1 (c) -1\/6 (d) -9 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25461\/92 + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 1718057?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42850 rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 50 = 200. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301121 + 131001323?\nAnswer: 130100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1332191409 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12255066 (base 7) to base 3\nAnswer: -2002012110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -191981\nAnswer: 4799525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/35 + 32\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 7*l + 5. Let k be x(-5). Suppose 36 = -5*f + n, -2*n - 2 = -4*n. Let s = k - f. Solve -2*t = -5*o - 29, -t + s = -2*o - 5*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 6, c: 3, s: 4, u: 1, a: 1}. Give prob of picking 2 k and 1 a.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146444041*u**2 + 92042401 wrt u?\nAnswer: 292888082*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 95. Let u be g(23). Let n(j) = 2*j + 8. What is n(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13148)\/70 - 36\/(-84). Let n = t + 188. Let z = 5 - 10. Sort 1, n, z in ascending order.\nAnswer: z, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/7 - 364752*n\/7 - 8315251344\/7.\nAnswer: -4*(n + 45594)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05117786 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 55792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 2*h - 7. Let q be m(5). Let n be q\/12 - 84\/(-9). Calculate the greatest common factor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/1225)\/((-3)\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1a23 (base 11) to base 10\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55 - 64 + 284 + 624 + 47 + 64)*(-129*c + 5*c - 28*c) in the form p + w*c and give w.\nAnswer: -136800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -35. Let s = 3 - o. What is the biggest value in 8, 3\/5, s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -56. Let s = -57 + v. What is the remainder when 70 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*o = 5*t - 133*o - 15, 3*t - o + 1 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/53 in 2, 3, 5, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73613729 to two decimal places.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:07 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(5)*-1 + (sqrt(245)*-2)**2 - sqrt(10)\/((1*sqrt(18))\/sqrt(9)).\nAnswer: -2*sqrt(5) + 982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 5:11 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 24 + 13 - 4 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(3)*-3 + -2 - sqrt(15)\/(-2*sqrt(125))) + -4)**2.\nAnswer: 203*sqrt(3)\/5 + 7423\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = b - 7*c + 4*c, -13 = 3*b + 4*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*u + 2, 4*k - 2*u - 8 = 0. Suppose -4*h + f - k = h, 3*f = 6. Solve 3*o + h = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -33*d - 2. Let y be k(-3). Let w = y + -68. Let t = -20 + w. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 9. Let y(s) = s**2 - 7*s + 8. Let p be y(6). Factor -r**l + 13*r**3 + r + r + 8*r**4 + p*r**5 + 8*r**2.\nAnswer: 2*r*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-14)\/4)*-4. Suppose -g*h + 55 - 17 = -b, 4*b + 84 = 4*h. Calculate the remainder when h is divided by -2*(-1)\/4*12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -16 + 0 + 3 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9d7144 + -1?\nAnswer: -9d7145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 2:17 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/67968 and 19\/864?\nAnswer: 203904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -540 - -542.57. Let f = 2.27 - p. Sort f, 0.2, -7 in descending order.\nAnswer: 0.2, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312.9 + -313. What is the closest to r in -4\/9, 3, 2\/11, -7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/((-554)\/(-7479))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i. Let j be o(2). Suppose -5*m + 2*v - 60 = j, m + 2*v - v = -5. List the prime factors of (-34)\/m + (-4)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.769 - -0.231. Let a = 1.1 + -0.1. What is the biggest value in a, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(147))**2 + -3 + sqrt(147).\nAnswer: 21*sqrt(3) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588591402 divided by -7?\nAnswer: -84084486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.19703166.\nAnswer: -2.80296834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 9:21 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.52 - 2.72. Which is the smallest value? (a) 5 (b) i (c) -5\/3 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2)*-3)\/sqrt(9).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3658, 30047, 101686, 241201, 471218, 814363?\nAnswer: 1293262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*w - 18 = 0, 0*w = w. Let v = q - 12. Let n(t) = -7*t + 7 + 6*t**2 - 4*t**2 - t**2 + t. Give n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 19 - 2*h + 2*h**4 + 3*h**3 - 7*h**2 + 18 as c + t*h + p*h**3 + l*h**2 + o*h**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 15. Let q be j(-9). Let z = q + 84. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) 2\/3 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/25*15\/(-9). Let z = -2\/355 + -347\/1420. Sort 4, z, r in decreasing order.\nAnswer: 4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*r - 9*r + 30*r)*(21 - 18*r - 21) to the form t*r + i + l*r**2 and give l.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 3*k - 4. Give d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 2679?\nAnswer: 2681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 3, -5, -1136.\nAnswer: -1136, -5, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9833458.4 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*p - 2, -5*p = y - 5*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -39*m - 8. Determine a(-4).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*w - 7*w = -22, 0 = 3*b + 3*w - 15. Let r be 4\/b - 55\/60. Which is greater: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3*x**3 - 7 - 33 - 4*x + x**4 - 40 + x**2 + 4*x**2. What is the second derivative of g(y) wrt y?\nAnswer: 24*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:49 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2736*g**5*k - 19399*g**2*k**2 + g*k**2 - 71563508*g + 2*k**2 wrt g?\nAnswer: 54720*g**3*k - 38798*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 860 and 14512980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 7*d + 2*d + 10*d**3 + 5*d.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*d = 17, 2*v + d + 1 = 4*d. What is the second derivative of 13*w**5 - 2*w - 4*w + v*w wrt w?\nAnswer: 260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 r when three letters picked without replacement from ppaoraprpqrjp?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 - 154. Suppose 223 + j = 13*c. Let q(z) = 80*z**2 + 2*z + 1. Calculate the remainder when q(-1) is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -670 >= -678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 20, -272 = 3*k - 8*k - 3*m. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*f + 11 + 213 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0, -0.02, -0.5 in increasing order.\nAnswer: -0.5, -0.02, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 + -1. Suppose -3*m - l = -2*j, 2*j + 2*m + 3*m - 83 = 0. Suppose 3*b - j = 2*a, -5*a = 2*b - a + 4. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 + 9*w + 11*w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6717 + -b0?\nAnswer: 6637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0056987 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2. Suppose -2*o - o = 0. Let q(x) = o*x**2 + 2*x**2 - 2*x**2 + x**2. Give q(z(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*r - 60 = -l, l = 2*r. Solve -l = 4*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22846*h**4 - 61*h**3 - 3*h**2 + 3*h**2 - 22873*h**4 + 13 - 2*h**2 wrt h?\nAnswer: -648*h - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i - 148*i**3 - 2 + 0*i + 0*i**4 - 7*i**2 + i**4 + 150*i**3 in the form m + v*i**4 + c*i**3 + z*i + h*i**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = 1. Suppose 0 = -x - q*x + 12. Suppose 3*z + 2*z = -5*n + 5375, 0 = x*z + n - 4315. What is z rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8 = -m + 13, -4*m = -3*z + 77. Let u = 1 - 1. Suppose u*j = -j + z. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311492072.\nAnswer: 2, 38936509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -4, 20, 4 in decreasing order.\nAnswer: 20, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2)*35\/(-14). Let y(o) = o**3 + 21*o**2 + 39*o + 19. Let f be y(-19). Suppose 92*m - 93*m - 2 = f. Sort k, 3, m, -5 in descending order.\nAnswer: k, 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n - 63*n = 36. Let y = -21 + 20. Let b = n + y. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2300\/(-690)*27*(-5)\/(-10).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839031 is divided by 1548?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-15))\/1*90\/60\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 3*d - 13. Determine c(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226460 (base 8) to base 3.\nAnswer: -10220202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 33. Is t at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, 10\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301924 is divided by 9435.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -360*b + 367*b + 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/60 - 7*b**5\/30 + 5*b**4\/4 - 3*b**3 + 146*b**2. Factor k(j).\nAnswer: 2*(j - 3)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 16 = 34. Let t = -1605\/8 + 395\/2. Calculate the common denominator of t and 61\/32*(7 + j).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**21 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*i - 5 = 0, -2*l - 69*i - 1 = -64*i. Solve 0 = -l*n + 4*v + 12, 3*v = 4*n + n - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 6706.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*y + 267*y + 70 = 92*y + 92*y - 7*u, -4*y + 86 = u for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 1) + (39 - 20). What is the highest common factor of h and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/11 + 22*k**3 + 502*k**2\/11 - 1218*k\/11 - 1476\/11 = 0. Calculate k.\nAnswer: -3, -1, 2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 7*r + 278. What are the prime factors of r?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 + 8 = 0. Suppose -2*f + 27 = 3*g + 5, 52 = k*f - 5*g. Suppose -306 = -4*j + 198. Calculate the greatest common divisor of f and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-18)*y**(1\/16)*(y\/(y**5*y))**(2\/77) assuming y is positive.\nAnswer: y**(-22259\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78.8 + -79. Which is the nearest to -0.13? (a) r (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.96 + -0.04. What is the third smallest value in n, 0.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 24*p + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2*(-4 - -3)). Suppose y = -a - a + 2. Let h be (-2)\/7 + 6\/(-21). What is the nearest to 1 in a, 2, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -177 - 39. Is (-2742)\/c - 6\/(-27) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -15399288.\nAnswer: 1\/5133096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**4 + 7*a**3 - 165*a**2 + 1 wrt a?\nAnswer: -192*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - -201. Let l = k + -61. Let b = l + -13. What is the third biggest value in b, 2\/15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2064 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.090071 + 116.8.\nAnswer: 116.709929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -30*a**3 - 106*a**2 - 163*a - 656. Give p(-4).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28.75 and 2?\nAnswer: 30.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(448))*6 + (sqrt(7) + -2 + -2)**2 + (-2*sqrt(3969))\/(-1*sqrt(28)\/sqrt(4) - sqrt(7)).\nAnswer: 23 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2516 (c) -0.1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 514 + 39. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1627 less than or equal to -2.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*5*(-75)\/(-700) + (-4)\/(-14). Sort -1, -3, p, -5 in decreasing order.\nAnswer: -1, -3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 + 8803*q**3 + 61660*q**2 + 88100*q = 0 for q.\nAnswer: -5, -2, 0, 8810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-36) + (-2257)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 45*i - 2. Let y(n) = -222*n + 10. What is -11*m(r) - 2*y(r)?\nAnswer: -51*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -24*z - 13. Let a be s(-1). What is the greatest common factor of 121 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233001 (base 5) to base 6.\nAnswer: 303410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 854344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2703511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -3*s, 2*s + 17 = q + 14. Suppose -2*c + 7*c + 2 = -3*p, s = 5*p + 20. Solve -c*j - j - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2 + n + 2. Let z be c(0). Suppose -72 = -z*m - 2*m. Suppose 3*u - s - m = 0, 2*u + s - 17 + 5 = 0. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.735754 - 0.316424. Round i to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -288921770?\nAnswer: 288921767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.8599996075 + -27.86. Round c to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5686 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*t**2)*(2*t**2 - 4*t**2 + 3*t**2)*(-2*t + 2*t + 2*t) + t - t - 2*t**5 - 2*t**5 - 2 + 2.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 26, -1 in descending order.\nAnswer: 26, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14591 + -14593. Which is the third smallest value? (a) q (b) 1 (c) 1374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**4 - 5*w**3 + 215*w - 426*w + 209*w + 6*w**4 + 1 + 24*w**2 to i*w**2 + m + d*w + q*w**4 + u*w**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -50 + 68 + -37\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 30*v**4 + 50*v**3 + 20*v**2 - 10*v - 15. Let x(r) = -32*r**4 - 49*r**3 - 19*r**2 + 10*r + 18. Let k(p) = 6*q(p) + 5*x(p). Factor k(w).\nAnswer: 5*w*(w + 1)*(w + 2)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 102613 + 168093 = 662160. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 14*u - 42. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707 = -13*z - 44. Calculate the remainder when 105 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*n = -1 - 0, 4*u = 5*n - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1956, -1954, -1952, -1950?\nAnswer: -1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n - 2*n + 16*n + (-3*n - n + 2*n)*(2 - 4 + 1) + 3*n + 3*n - 3*n + 10*n + 6*n - n + (1 - 2 + 0)*(-1 - n + 1))*(-1 + 2 - 3)*(-3*n + 0*n + 0*n).\nAnswer: 174*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3677 - 3252. What is the least common multiple of u and 5?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/39984 and 19\/157074?\nAnswer: 1046741136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 916327.\nAnswer: 3\/916327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8*(6*45\/126)\/((112\/(-49))\/2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.952 - 0.048. Let u = z - -21.6. Sort u, -2, 1 in descending order.\nAnswer: 1, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 2. Suppose 0 = z + 3*d - 13, 0 = -4*d + 35 - 15. What is c(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -451 - -451.00231. What is b rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.92 - -5.38. Let w = -6 + d. Let z = -2185\/9 + 243. Sort 5, z, w in descending order.\nAnswer: 5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409895, 409904, 409915, 409928, 409943, 409960, 409979?\nAnswer: 410000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 234*a**2. Let z(t) = -17*t**2. Calculate r(z(i)).\nAnswer: 67626*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -20. Suppose j - 4*t + 84 = 3*j, 5*t = m*j - 103. Suppose -4*q + f = -52 - j, -63 = -3*q - 5*f. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmmqm. What is prob of picking 1 q and 2 m?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 416 + 332 = 0. Suppose 3*s - 2*f + 23 = 0, 7*s + 2*f = 5*s - 2. Sort s, 4, l.\nAnswer: s, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 107*d**2 + 13*d + 171. What is the units digit of c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:01 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/3 + 98\/147)*3. Suppose 2*d - p*s = -5*s + 31, d + s = 14. Let y(r) = -r + 7. Let n be y(4). What is the highest common factor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279802, 279528, 279254, 278980?\nAnswer: 278706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595164 (base 12) in base 5?\nAnswer: 3344132422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j - 770 = 68*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3423437 centuries to years.\nAnswer: 34.23437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itaasaaf. What is prob of picking 1 f and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -566*s**2 + 511 + 9577*s**2 - 252 - 259 to the form j*s**2 + u*s + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000977797481 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let l(r) = -r - 4*r + 0*r + n*r. Let i(t) be the second derivative of t**4\/12 - 3*t. Determine l(i(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 2587?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-4)\/155))\/((-84470)\/67576).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 6 + 2 - 3)*(-4621 - 2*d + 2382 + 2337).\nAnswer: 4*d**2 - 206*d + 490","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -159\nAnswer: 5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5309 * -4.\nAnswer: -21236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/487, 0.1, -3?\nAnswer: -2\/487","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 708 + 2543. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**2 - 3*p**2 - 4*p**4 - 2*p**2 - 1 wrt p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/24 - 1451\/(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**3 + 20*i**2 - i. Let s(g) = 5*g**3 + 21*g**2. Determine 3*q(p) - 4*s(p).\nAnswer: p**3 - 24*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132\/5 + 279\/10. Let i(n) be the second derivative of -6*n - l*n**2 + 0 + 1\/3*n**3. Find the first derivative of i(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/19108 and -79\/2248.\nAnswer: 38216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h - 1. Suppose -27 = -5*r - 7. Let k be o(r). Suppose -2*c + 33 = k. Solve -3*z = -2*n - c, 9*z + 5*n = 4*z + 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + ((-7)\/(-14) - 998\/4). Is 16 a factor of (-63)\/(-84) + i\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 50. Give m(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -2.3 (c) 2\/37 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*5*2 - (sqrt(720) + sqrt(720) + -3 + -3 + sqrt(720) + sqrt(720)))**2.\nAnswer: -336*sqrt(5) + 3956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(0*h + 2*h + h)*(98*h - 2*h**2 - 55*h + 0*h**2).\nAnswer: -12*h**3 + 258*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 3) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 7*d - 3. Let s(j) = j. Let i(k) = f(k) - s(k). Let q be i(-7). Let b be (q + 19)\/(0 + 1). Calculate the greatest common divisor of 161 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 - 4. Let x = -106 - -229. Let n = x + -126. Sort p, -11, n in ascending order.\nAnswer: -11, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -312*c + 145*c + 167*c - 1696*c**2. Let y(q) = -6*q**2. Determine r(y(o)).\nAnswer: -61056*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**2\/2 + 12*f + 865. Determine a(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-7))\/(((-34)\/7)\/17)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 272 and 472?\nAnswer: 16048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/4)\/c**(-38) assuming c is positive.\nAnswer: c**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20769 and 1785.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 498 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**3\/3 + 5*m**2 + 170*m + 2. Calculate b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*d + 8*p - 64, 0 = -4*d - 2*p - 72. Let k = -13 - d. Suppose 0 = k*x + 2*x - 75000. Round x to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*c + 20, 2*h - 3*c = 5*h. Suppose 5*g - 5*s + 20 = 0, -2*g + s + 0*s = h. Solve 6 = -3*w + m, -w + g*m + 6 = -3*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.151 + 0.849. Let r = -8.88 - 0.12. Let x = 7 + r. What is the closest to 0 in -3\/4, x, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59991800.000061 - 59991874. Let k = 74 + p. Round k to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 10 = -2*q. Suppose 3*r - 4*z = -z + 15, 3 = 3*z. Suppose -12 = r*o - 2*o. Sort q, o, -1 in descending order.\nAnswer: -1, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4574, -9077, -13530, -17939, -22310?\nAnswer: -26649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2730 divided by -546.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 6*l + 5*l - 3*l**2 - 6*l - 3. Let f be m(3). Suppose 2*j + 19 = h, f*j = -j - 16. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35003?\nAnswer: 17, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10544 + 379591\/36. Let a(t) be the third derivative of 49\/18*t**3 + 0 + x*t**4 + 0*t + 7*t**2 + 1\/180*t**5. Suppose a(p) = 0. What is p?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125058719\/5, 2, -3.\nAnswer: -125058719\/5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3026.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:10 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 232?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1123*w + 97 + 10010 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 87*n**2 + 2*n - 50*n**2 - 44*n**2. Let g(v) = v**2. Give p(g(y)).\nAnswer: -7*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 128. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0051912 rounded to three decimal places?\nAnswer: -1.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 108 - -142?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24565951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/20 - -8\/5. Let o be (-48)\/315 - 2\/(-7). Let p = -1\/5 - o. What is the nearest to p in -2, -1\/3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynmqnr. What is prob of sequence yrny?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 529 - 598. List the prime factors of n.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 12) to base 2.\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4\/3 - 62*u**3\/3 - 52*u**2 - 146*u\/3 - 47\/3.\nAnswer: -(u + 1)**3*(5*u + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1265 - -1267. Calculate the greatest common divisor of o and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3 - 654*f**2 - 5787*f + 897264 = 0. What is f?\nAnswer: -201, -48, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x**3 - x**2 + 2. Let d(o) = -1. Let v(i) = -1. Let u(q) = -5*d(q) + 6*v(q). Let w(y) = -h(y) - 2*u(y). Determine w(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 + -116.4. Which is the closest to -0.1? (a) j (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1880*k - 65794. Calculate i(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 28*d**2 + 27*d - 56. Let o be c(-29). Suppose o*p = 431 - 123. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**6*h**12*(h*h\/h**(-2\/7))**8 assuming h is positive.\nAnswer: h**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1155 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 55*l - 2. Let q be z(-2). Is q\/(-12)*3\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 750*l - 195 = -2502 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 3*h. Let q be h - 2\/(-3) - (-2)\/(-3). What is the first derivative of -6 + q + 9*x + 2 + 0 wrt x?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 17760 + 67784 = 0. Let l = m + 1026671\/24. Let w = -4049\/78 - -404\/13. What is the common denominator of w and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311933627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:16 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 95 = 5*c, -42*c + 40*c = 3*l - 62. Suppose 3*g = -4*k - 103, -3*g - 20 = 5*k + 111. Let t = 48 + k. Is t at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) -9 (c) -0.038 (d) -1 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 72\/5 of a kilometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 509?\nAnswer: 254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.005 (b) -4.6 (c) 13.882\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t - 22 = -22*t - 3*n, -t - 10 = -3*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -1\/44, -3, -0.06, -0.6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36556590.6 - 0.07.\nAnswer: -36556590.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37)\/(-5) - 4\/10. Suppose -2*v + k*v = 0. Find the second derivative of p**4 + p + 0 + v wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -809, 10, -97 in descending order.\nAnswer: 10, -97, -809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 15. Suppose 5 - 41 = -3*g. Calculate the remainder when g is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:19 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21b7212 (base 12) to base 4\nAnswer: 120221131232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 461, 534, 619, 722, 849?\n\"Answer: o**3 + 66*o + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.6 - 1.8. Let r = k + -5. What is the closest to -2\/3 in r, 2, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*g - 16, 4*m - 42*g + 46*g = -20 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**3\/3 + 11*j**2\/2 - 88. Let r(d) = -2*d**2. Give w(r(n)).\nAnswer: 4*n**4 - 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 1307, 4498, 10753, 21098, 36559?\nAnswer: 58162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 - 4.17. What is the fourth smallest value in 2, k, -1\/5, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 721970.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 101 = p, -3*q - 2*p + 121 = -7*p. Suppose 12 = 4*s + q. Which is the second biggest value? (a) s (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*a**2*b*m**3 + 75*a**2*b - 59*a**2*m**3 + 43*a*m**2 - 343*b*m**2 + 7*b*m - 14015*m**3 wrt m?\nAnswer: -102*a**2*b - 354*a**2 - 84090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 9, n: 1, l: 1, g: 5}. What is prob of picking 1 l and 1 n?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85d59 (base 14) to base 10.\nAnswer: -323675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67343.76 litres in millilitres?\nAnswer: 67343760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 14. Let q be (-98)\/(-14)*(0 + 1). What is the greatest common factor of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 + 7*h + 4. Suppose -3*u = -4*j - 39, 0*j + 2 = 3*j + 4*u. Calculate s(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376917, -376937, -376983, -377067, -377201, -377397?\nAnswer: -377667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -18. Which is the closest to -0.1? (a) t (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(126)\/sqrt(2)*3 + 0)**2 + 2.\nAnswer: 90*sqrt(7) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 8268802.\nAnswer: 16537604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7683593328.\nAnswer: 2, 3, 53358287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*h - 23401*h**3 - 2 + 23380*h**3 - 77*h.\nAnswer: -21*h**3 - 212*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + 10 - (-2 + 7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2439 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*i**3 - 20*i**2 + 3*i**2 + 15*i**2 + 2.\nAnswer: 1031*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 2*z**4 + z**4 + (-z**3 - 2*z**3 + 0*z**3)*(0 + 0 + 4*z).\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 - 90*x - 5 + 90*x to t + u*x**2 + r*x and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-14)\/(-49) - (-5)\/(-105)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7\/4, -4, 3703, -2\/11?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(120)*2*-5)\/sqrt(12))\/(sqrt(20)\/(sqrt(8)\/sqrt(2)) - (sqrt(25) - sqrt(100))\/sqrt(5)).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -31*r - 6. Let o(t) be the first derivative of -931*t**2\/2 - 182*t - 19. Let i(h) = -6*o(h) + 182*u(h). Let j(m) = -m. What is j(i(p))?\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q + 14*q - 34*q - 8*q**3 + 10*q - 2*q**2 + 7*q + 4 in the form j*q**2 + m*q + b + a*q**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:29 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6508308539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-30))\/((-8)\/21612). Let o = -360 - s. What is the third biggest value in o, 4\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/2, -5, -531?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-3))\/4*3\/1. Let t(h) = 78*h + 3 + 2 - 4*h**2 - 85*h. Let j(l) = 5*l**2 + 7*l - 4. Let c(m) = d*t(m) + 3*j(m). Determine c(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1 + 4 + 2*j**2 - 2*j - 5*j**3 + 0 - 2. Determine l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760806 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 1 + 4 - 5 + 3 + (1 - 7 + 4)*(-1 + 1 - 2) - 2 - 1 + 2)*(2 + 2*s - 6*s + 3*s)*(4 - 1 - 1) as n + k*s and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 y, and 1 k when four letters picked without replacement from kyidiiiikdiyykv.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 + 95\/(-20))\/1)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 5*k = -o + 2*o + 35, 3*k + 0 = -6*o + 25 + 20 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.1. Let q = -4091\/8176 + 3\/8176. Which is the second biggest value? (a) n (b) 2\/13 (c) q (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 74. Find the third derivative of -g**q + 250*g**5 - 7*g**2 - 283*g**5 - 5*g**2 + 0*g**3 wrt g.\nAnswer: -1980*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -48, 4, -2 in descending order.\nAnswer: 16, 4, 3, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/(x\/((x*x\/x**(2\/5)*x)\/x)))**(2\/59)*(x**(-2\/3)\/x*x*x*x**(3\/4)*x)\/(x**(-2\/13)*x*x**3) assuming x is positive.\nAnswer: x**(-70829\/46020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (-13 - -30 - (-2 + 11))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + 3) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = 8*b - 396. Let w(m) = 3*m**2 - 7*m + 5. Let a be w(6). Suppose -v + b = -a. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, -285, -1220, -3049, -6072, -10589?\n\"Answer: -50*c**3 + 3*c**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -2)\/((-182)\/(-91))*(2 - 9).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 260796 divided by -86932\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 8*v**5 + 6*v**2 + 19*v + 6. Differentiate x(k) with respect to k.\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208844554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 350 - 110 - 120 - 121. Determine h(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -52, -2\/23, 5636, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:33 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2245 = -17*c + 3382. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 1065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 1279432.\nAnswer: 1279432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -321*m**3 + 3*m**2 - m - 3. Is 14 a factor of t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -53896*q**2. Let j(l) = -2*l. Give m(j(r)).\nAnswer: -215584*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*o = 3, -5*j + 7 = 6*o - 3*o. Suppose 3*v + 4*l - 4 = 22, j*v = -2*l + 20. Suppose 82 - v = 17*s. Solve -s*t - 5 = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3*o - 556*i**3 + 50*i**2*o**2 wrt o?\nAnswer: -i**3 + 100*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2691, 5916, 9141, 12366?\nAnswer: 15591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -18 (b) -0.5 (c) 7\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 r when three letters picked without replacement from rtrnsarntrarnrnr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-2)\/1 - -2. Suppose -3*d + 2 = -10, 0 = -5*q + 4*d - 21. List the prime factors of q + 5 + h + 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150681365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/172219 in -5\/12, 1, -2?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182459*p**2 - 1667 + 182458*p**2 + 4*p - 4*p to t*p**2 + u*p + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 17 + 106*r - 60 + 10 + 19.\nAnswer: 106*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660780 is divided by 330383.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5695442 micrometers to nanometers.\nAnswer: 569.5442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*j**3 - 74*j + 3 + 33*j + 2*j + 30*j + 5*j**3 in the form b*j**3 + d + y*j + p*j**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000497731 rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 3*d - 15. Calculate r(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*r**3*y**2 - 161996*r**3 + 869*r*y**2 wrt y.\nAnswer: -30*r**3*y + 1738*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + w**2 + 2*w**2)*(-150*w - 103*w + 0 - 504*w + 9 - 361*w).\nAnswer: -4472*w**3 + 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.372 + 32.432. Let u = 0.54 + s. Let b = u - 28. What is b rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89445 - 298729 = -3254*m - 1646*m + 45516 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*d = -d - 7, 0 = 4*f - 5*d - 25. Solve -o - 4*o = f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59.1, 0.4, -3\/4 in ascending order.\nAnswer: -3\/4, 0.4, 59.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16584017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29110 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(143)*4 + ((sqrt(143) - (sqrt(143) + sqrt(143)*4))*4 - sqrt(143)))\/((-2*(sqrt(110) - (sqrt(110) + sqrt(110)*-3 + sqrt(110))))\/sqrt(10)*1))**2.\nAnswer: 21853\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6268\/11 - -570. Put l, -0.5, 131 in descending order.\nAnswer: 131, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 169, 145, 101, 31, -71, -211?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6235 + -673. What are the prime factors of h?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 4. Let z = -26 + 41. Let j = 10 - z. Determine h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 p when four letters picked without replacement from {u: 8, i: 5, p: 5}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2\/(-4)*4. Let x be f - (10\/(-2) - -2). Suppose 4*n = x*h - 14, 2*h + n - 7 = -2*h. Are h and 2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - -110100201100222?\nAnswer: 110100201100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 1 - 0. Let j = l + -2. Let z = 8 + j. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-238)\/(-1309))\/((-102)\/66)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 3. Let g(t) = 3*t**2 + 6 - 1 + 0. Suppose 3*m - 2 = -17. Let l(i) = m*h(i) + 3*g(i). Let k(y) = -3*y**2. Give l(k(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 2*f**2 - 3*f**2 + (5 - 5 - 1)*(-2*f**2 + 0*f**2 + 4*f**2) + 4*f**2 + 5*f**2 + 2*f**2)*(4*f**3 + f**3 - 2*f**3).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16763*f + 133978. Determine b(-8).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h**4 + 47*h**4 - 18*h**4 + 3*h**3 + (37*h**3 - 5 - 64*h**3 + 42*h**3)*(11*h + 16*h - 41*h) as m*h**3 + b*h + o*h**2 + c*h**4 + l and give c.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 54. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 706*c**2 - 18*c + 17. What is the tens digit of n(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(-43) assuming u is positive.\nAnswer: u**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-5 + -9 + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 102.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(sqrt(3) + 3 + -5))**2 + (sqrt(27) - -2*sqrt(3267))\/(2*(sqrt(9) + sqrt(9)*1 + sqrt(9))).\nAnswer: -577*sqrt(3)\/6 + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 2*t**2 - 16*t + 6. Let p be 1\/(1*1\/5). Let x be y(p). What is the second smallest value in -3\/7, -2, 0.1, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8171405 - -1?\nAnswer: -8171404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8107 is divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -46647 and -0.85189?\nAnswer: 46646.14811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 4. Let b(s) = s + 1. Determine -3*b(u) + f(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2 - 1 + 1. Let o(r) = -r + 1. Let i(f) = -f**3 + 7*f**2 + 67*f - 71. Let t be i(1). Determine t*o(g) - b(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 5*h**3 - 3*h**3)*(-4*h - 11*h + 2*h + (2 + 2 - 5)*(-12*h + 4*h - 18*h)).\nAnswer: 13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -774, -5318, -17672, -41742, -81434?\nAnswer: -140654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178824 by 14902.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*m - 365 = 0, b + m - 130 = 4*m. Let x be (-10 - 0)*24\/5. Let v = b + x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 10781.\nAnswer: -29\/10781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -2*s**4\/3 + s**3\/3 + 2*s + 45. Let t(d) = 9*d**2 - 3*d. Determine -9*o(c) - 6*t(c).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.69 - 0.19. Let f = -26 + p. What is the third smallest value in 3\/5, -5\/4, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 10*b + 3. Let i be a(10). Suppose -4*w - 42 = -i*t + 17, 0 = 5*t + 5*w - 145. Solve 27*n - 22*n = t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 0. Suppose k*q - x = 3*x + 50, 0 = x + 5. What is the remainder when 11 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 0 + (-4)\/(-5) - 868\/(-140).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-481\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-25) - 184\/10. Let q = -16 - r. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(3608\/22)*0 + 8\/10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 greater than or equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -410\/17, -1\/49, 26.\nAnswer: -410\/17, -1\/49, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 649 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 18*w + 1. Let r be h(6). Suppose -4*u - 9 = -r. Suppose -2*j = -u*j + 465. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p**2 - 2\/5*p + 1\/5*p**4 - 1\/5 + 2\/5*p**3.\nAnswer: (p - 1)*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -185 + 3*c**2 + 185 - 4*c**2. Let v(n) = 40*n. What is v(r(a))?\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -44, -65, -84, -101?\n\"Answer: z**2 - 26*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/4)\/s*s)**3)**(2\/9)\/((s**(5\/2)*s)\/s**(-2\/15)*(s**(2\/9))**(-29\/3)) assuming s is positive.\nAnswer: s**(-88\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8857 is divided by 627?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + sqrt(512) + sqrt(32))**2 + sqrt(32) + ((sqrt(1694)*1)\/sqrt(7))**2.\nAnswer: 204*sqrt(2) + 1070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 419979676*l**2*m**2 - 12032*l**2*m - 2*l**2 - 4*l + 65*m wrt m.\nAnswer: 839959352*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238287*t = 240468*t - 257358 for t.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 12*w**2 - w - 1. Let k be x(-12). What is the highest common divisor of 88 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 0, -3 in decreasing order.\nAnswer: 0, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3\/5 (c) -84 (d) 33 (e) 1\/8 (f) 0 (g) -334\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 5523?\nAnswer: -5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 27, 91, 181, 297?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -1\/2 (b) -0.2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 1673?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -31*s**2 + 697*s + 111. Give u(23).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3 - 75*g**2 + 153*g - 77 = 0.\nAnswer: -77, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3269 and -8.4.\nAnswer: 27459.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9174326 (base 10) to base 8.\nAnswer: -42776466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t**3 - 142*t**2 - 38*t - 549. Let i be x(-11). Let a(r) = -8*r**2 + 9*r + 1 - r**3 - 2*r**2 + r**2. Determine a(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 1\/3, -64, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-1 + (-1)\/(-2)). Suppose 6 - 56 = -a*p. Calculate the remainder when 26 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269896637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40, -46, -78, -142, -244?\n\"Answer: -f**3 - 7*f**2 + 22*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(2\/3)*r)\/r*r)\/r)\/r)**(4\/5)*r**(2\/25)\/r*r\/r**(-9) assuming r is positive.\nAnswer: r**(661\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:34 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 9) in base 3?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 251 = -2*i, -503 = -2*b + 4*i - 7*i. Suppose 69 = -0*n + 3*n. Calculate the greatest common divisor of b and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43668695.66 rounded to the nearest 1000?\nAnswer: 43669000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*sqrt(242)*1 + -3 + sqrt(242)*1 + -4 + 2.\nAnswer: -5 + 77*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-2))\/(0 - (-1 - 1)). Suppose 3*l + 0*c - 4*c = 8, i = -4*c + 4. Suppose -385 = -k - l*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 67 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1 - 17. Let w be d\/4 + 8\/(-4). Suppose -2*f = 5 + 1. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 + 2117\/58)*16\/14.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23))**(-3\/2) assuming y is positive.\nAnswer: y**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*l + 2*l, -v - 4*l - 7 = 0. Let i = 5 - v. Suppose i = -3*m - 3. Which is the nearest to m? (a) 3\/2 (b) 3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5 = 3*y - 2, 9*y + 9 = r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 65. Calculate the remainder when 1 + -8 - (-8 + -24) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33645 - 4?\nAnswer: 33641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2405\/1422 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/5)*(b*b*b**(1\/24))\/b*(((b**27\/b)\/b*b)\/b)**(9\/4) assuming b is positive.\nAnswer: b**(7043\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1436 - -1651.9436. What is a rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/6)\/((-2758)\/(-22458))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*t*u**2*z**3 + 3*t*u**2*z**2 - t*u**2 + 15*t*z**3 - 2*u**2*z**2 - 52*u*z wrt z?\nAnswer: 114*t*u**2 + 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8702 and 62095640?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(6 + -7) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -1 (b) 2\/7 (c) 0.05 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483.974 micrometers to kilometers.\nAnswer: 0.000000483974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3)*s**(-1\/4)\/s)\/(s**(-4\/11)*s**(-2\/13)))**(-20) assuming s is positive.\nAnswer: s**(12005\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c - 30*c + 798 = 30*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32900 divided by 70?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7013 + 7013 + 0*w + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {u: 1, q: 1, i: 1, a: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**2 + 39*c + 25. Let m(h) = -3*h**2 - 13*h - 9. Determine -11*m(f) - 4*v(f).\nAnswer: -3*f**2 - 13*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3 - 183*p**2\/2 + 180*p - 173. Factor r(a).\nAnswer: 3*(a - 60)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 389504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = -262*v + 53 + 547 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -13 - 1. Suppose -4*s = -3*s - d. Let b = s + -10. Put b, -1, -3 in decreasing order.\nAnswer: b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) -150 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, -2, 0.5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103032, -103031, -103030, -103029, -103028?\n\"Answer: l - 103033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1.7, 0.1, 31, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*2)\/((-8)\/40). Suppose 2*p - 4*a - 6 = u, -5*p - 3*a = 0. Suppose -c + f = -0*f - 2, -5*f = p*c - 22. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4 - 380*r**3 - 7590*r**2 - 14060*r - 6845 = 0 for r.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.6 + -59.5. Which is greater: s or -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 70275, -336 in descending order.\nAnswer: 70275, -5, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.828402kg to grams.\nAnswer: 2828.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -4*g - 13, 3*r = -69*g + 71*g - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -58536?\nAnswer: -58534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43573853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**4\/24 - r**3 - 2*r**2. Let i be j(-11). Suppose 2*f - 37 = -3*c, i*c - 20 = -4*f + 53. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.313619 centuries in millennia?\nAnswer: 0.9313619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127.0035 + 127. Round w to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*h**4 + 2*h**4 - 24*h**4 + (5*h**4 - h**4 - 5*h**4)*(-2 + 2 + 2) - 4*h**4 - 21*h**4 + 7*h**4.\nAnswer: -67*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -0.01. Let m = 5 - y. Let s = 5.00000064 - m. Round s to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q - u - 38, -q + 5 = 2*u. Let y be -3*10\/q*-1. Let g be 1\/y + (-7)\/(-98). Which is the closest to 0.3? (a) 0 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881971684?\nAnswer: 2, 11, 20044811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(4\/(-2))*((-88)\/(-16))\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 15080*j**3 + 8*j**2 - 9*j - 15. Let q = -537 + 530. Let w be f(q). Round w to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.41995 + 322.810228?\nAnswer: 324.230178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 3774.\nAnswer: -1\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -44.68609768+0.07\nAnswer: -44.61609768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-62))\/((-9648)\/4288) + (-107)\/(-1178)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*x**3 - 2*x**3 + 2*x**3)*(-1 + 3 - 1) - 8*x**3 + 5*x**3 - 11*x**3)*(9*x + 8*x + 5*x) in the form p + y*x**2 + g*x**3 + k*x + a*x**4 and give a.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.75 - -3.1. Let s = -27 - -27.15. Let o = a + s. Put 2\/3, o, -5 in decreasing order.\nAnswer: o, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -861.5 + 861.4. Which is the second smallest value? (a) 3 (b) l (c) 1325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o - 2. Let p = -2 - -5. Suppose n - 8 = p*n. List the prime factors of k(n).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g - 4*h + 2, 3*h = -g + 4. Sort -7, 0, -1\/3, g in descending order.\nAnswer: 0, -1\/3, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9295000 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8949 * 0.1\nAnswer: -894.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-31))**(-34)\/(((d**(9\/2)\/d)\/d*d)\/d*d*d)**(-1\/14))**(-2\/39) assuming d is positive.\nAnswer: d**(-29521\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31172*t**2 - 15434*t**2 - 15747*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 - 36.62. Let h = 50 + z. Let v = -12.7 + h. Which is the closest to 1? (a) 4 (b) v (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-9 + 10 - (-6 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**2 + b**3 + 4*b**2)*(23097*b + 8556*b - 2757*b) to g*b + z*b**2 + u*b**3 + j + k*b**4 and give k.\nAnswer: 28896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -3.2918?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.3, 4\/49 in decreasing order.\nAnswer: 0.3, 2\/13, 4\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:21 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 770, 780, 790, 800?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178838317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74 + -38577?\nAnswer: -38503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 620 - 506. Let n(f) = -f**3 - 5*f**2 + 2*f - 6. What is the least common multiple of n(-6) and h?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d46 (base 16) in base 15?\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 1, b: 1, x: 1, f: 1, h: 2}. What is prob of sequence ofh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.31898 milligrams?\nAnswer: 0.00000331898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2. Let k(b) = -b - 3. Suppose 7*u - 10 - 18 = 0. Let r(f) = f + 2. Let z(t) = u*k(t) + 6*r(t). Calculate v(z(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8318, -0.99, 5\/3 in increasing order.\nAnswer: -0.99, -0.8318, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -19, -2\/17, -1, -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (31 + -32 - (-5 + 7)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a**2 - 10*a**2 + 25*a**2 - 12*a**2 + 16*a**2 + 101*a**2 + 12*a**2 + (1 + a**2 - 1)*(-2 + 4 - 3) in the form b*a + n*a**2 + t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144962889 to the power of 1\/2, to the nearest integer?\nAnswer: 12040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 5:04 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.4528311 rounded to 0 dps?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -z - 2*z. Find the common denominator of z*1\/(-44) - 1 and (-226)\/(-20) + (-1)\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28628 - 227*c - 57260 + 28627 - 1059*c as y + q*c and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*u + q, -3 = -4*u + 5*q + 3. Suppose -7*o + u*o = 9. Let w(p) = p**3 + 4*p**2 + 2*p - 3. What is w(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from hhwwnwmw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 3*h - 92, -14*v - 2*h = 2*v - 25*v + 5*v + 78 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (148\/(-518) - (-526)\/28) + 42\/(-28)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 9*g + 15. Determine l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -983?\nAnswer: 2\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320163 = -33*w + 74636 - 50774. List the prime factors of w.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/34))**(-10\/9) assuming v is positive.\nAnswer: v**(-5\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:49 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 2, c: 1, n: 1, x: 6, q: 4}. What is prob of picking 1 s, 1 x, and 1 c?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 18417*w**2 - 14020*w**2 + 24760*w**2 as g + q*w + t*w**2 and give t.\nAnswer: 29157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/72 + v**5\/9 - 5*v**4\/24 + 7814*v**2. Factor r(y).\nAnswer: -5*y*(y - 3)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1428 + 3761. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*a - 163*a - 156*a + 934*a - 156*a - 153*a - 158*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**1*i))\/i**(-1\/4)*i**(-2)*i**(-1)*i*i*i*i\/((i\/i**(2\/11))\/i)*i*i\/i**(2\/5)*(i**1)**(-40) assuming i is positive.\nAnswer: i**(-8353\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f + 4313 = -4232 + 8905 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 4*f**2 + f + 6. Suppose -2*g = x - 0*x + 7, 24 = -5*g + 4*x. Let w be v(g). Find the first derivative of -2*m + 12*m + 4*m - w*m + 9 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by -41.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017558 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s*t**5 + 33*s*t**4 + 2*s*t**2 - 2*s + 29*t wrt t.\nAnswer: -20*s*t**3 + 396*s*t**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -1\/60*s**5 + 0*s**3 + 0*s**4 + 0 - 2*s**2 + 0*s. Let l(n) = 4*n**2. Give l(f(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2 + 17*q + 0 + 0*q. Let i be b(1). Let x = -13 + i. Solve 2*n = 4*t - 2*t - x, 0 = -3*n + t + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 d when three letters picked without replacement from {m: 1, d: 7}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.31 + 2.24. Let r = f + -7.5501242. What is r rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3997 and 1633060?\nAnswer: 11431420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 169, 101, -11, -179?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 8*a - 12. Calculate the remainder when (-150)\/(-4) + ((-15)\/6)\/a is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 38. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2 - 152*i - 544 = 0 for i.\nAnswer: -34, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 7) in base 3?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 15*l**2 + 4*l + 8. Let h(x) = -4*x**3 + 63*x**2 - 15*x - 31. Let w(f) = 2*h(f) + 9*s(f). What is w(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*p**6*q + 2*p**5*q + 4*p**2*q + 5*q wrt p.\nAnswer: -9480*p**3*q + 120*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39 from -0.3662.\nAnswer: 38.6338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8156 = 4*a + 5*n, -2*a = a + n - 6117. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/5 - 7552878*m\/5 - 21147980 = 0 for m.\nAnswer: -3776425, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*b + 14, -n + 0*b = -b - 5. Suppose 0 = 2*w - 4*t, -w - w + n = -3*t. Let v = w + -2. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164175 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -129714781+-0.12295\nAnswer: -129714781.12295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13666715 to the nearest integer?\nAnswer: 3697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {v: 3, k: 1, b: 7, m: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4730879134 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*i - 48, -3*a - 2*a - i + 164 = 0. Let b = 3 + a. Find the second derivative of -4*m**5 - 17*m + 10*m**5 + b*m - 13*m wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*r - 12*r + 34*r - 703 + 35*r.\nAnswer: r - 703","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199243 - 597739 + 199241 + 199253 - 127*t.\nAnswer: -127*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1 + 9 + -1. Let s be (-13)\/(-78) - (-23)\/i. Suppose 0 = -s*h - 0*v + v + 101, 2*h = -5*v + 45. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 4 - 7)*(-5*c - 8*c + 5*c - 3) in the form v*c + b and give b.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*276 - -3. Let s = -929\/5 + r. What is the closest to 2\/7 in 4, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 36 (c) -0.3 (d) 1\/2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13797696 divided by -39198?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 1. Let s be w(1). Suppose -2*d + x = s, -2*d + 3 - 7 = -2*x. Suppose d*v = 7*v - 125. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/14213515 and -187\/19290.\nAnswer: 85281090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 221. Let k(v) = v**3 - 6*v**2 + v + 3. Determine k(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1885 divided by 29.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 31906\/88 - 6\/(-33). Let z = g - 13109\/36. Find the common denominator of (-10)\/8*22\/(-10) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/(35\/1260*18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-3 - -3)*-1. Suppose -2 = -4*o + n*o. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1561.3 + 1561.29999509. Round f to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjj. What is prob of picking 3 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/9 + 2440*z - 6697800 = 0. What is z?\nAnswer: 5490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**5 - 64364366*t**2 + 8*t - 3815293?\nAnswer: 40*t**3 - 128728732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 14*n - 201 = -95 - 82, -4*n - 81 = -2*u + n for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1098 divided by 366\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5221 or -217?\nAnswer: 5221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + b + 3*b - 3*b)*(1 - 5 + 0)*(-1 + 2 + 1)*(90 - 85 + 77).\nAnswer: -656*b - 1312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1131 = 81*p - 1536. Solve -p*r - 24 = 3*g - 40, 0 = -g + r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - 16*z + 98. Is f(9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -109 and -41\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1492*s + 3 = 5*n - 1491*s, -18 = -2*n - 6*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2\/9, -12\/35, -0.3, -149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogngnlggnggonggnool. Give prob of sequence llog.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1626343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -113890.\nAnswer: -2\/56945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.137, -0.4, 2, -5\/13, -2 in ascending order.\nAnswer: -3, -2, -0.4, -5\/13, 0.137, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 22*a + 9. Let x be u(-8). Let y = x - 55. Suppose -f = -5*q - 30, -5*f + 0*q = -y*q - 58. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let s(c) = -5*c - 5. Let n be s(-5). Suppose 3*x + 18 = -0*w + w, 2*w = l*x + n. Solve -2*d = -0*d + t - w, -5*d - 15 = -5*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + (37 - 44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423202 and 11116?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 112.8. Let b = -10 - o. Let z = 0.16 + 2.84. What is the second biggest value in -2, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211 - -207. Sort 3, y, 22 in ascending order.\nAnswer: y, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 405073 = 5*l, i + 4*i + 3*l - 675111 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/4)*g*g**(-1\/16)\/g)**18)**(-1\/28))**(-4\/29) assuming g is positive.\nAnswer: g**(27\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16 = 3*i. Let u = i - -8. Solve -4*d - 22 = -u*y + 2*y, 5*d + 30 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912351 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 43 - -2 - (1410 + -1339)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/350 and 131\/399000?\nAnswer: 399000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.215576 + 0.244\nAnswer: 0.459576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 13) to base 7.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -149348 and -149326 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69628 and 648622?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 243*m**2 + 3. Let f(i) = -485*i**2 - 6. Give -3*f(z) - 7*l(z).\nAnswer: -246*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 9*d**2. Let s be q(9). Let g(i) = -i**3 + 24*i + 9. Let k be g(5). What is the second derivative of k*f + 3*f**5 + 0 + 0 + s wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -24\/5, -0.1, 3, 1\/4, 308?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 118?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from zrrzzzfl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence busb when four letters picked without replacement from bulusbusbsubuuulzul.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6)**(5\/9))**(-13\/8) assuming z is positive.\nAnswer: z**(-455\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -2509*u**5\/60 - 8*u**2 + 55*u. Let i(p) = p**2. Determine s(i(g)).\nAnswer: -2509*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/38)\/((-21)\/(-378))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 6:10 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 552154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51203471 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93 - 91) + -1 + (-1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - 132\/11)*-1. Calculate the highest common factor of x and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -95*f**2 - 4. Let c(l) = -2756*l**2 - 117. Calculate 4*c(t) - 117*o(t).\nAnswer: 91*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4551 divided by 71409\nAnswer: -1517\/23803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**6\/105 - 3*n**5\/35 + 3*n**4\/14 + 7*n. Factor i(x).\nAnswer: 2*x**2*(x - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30455099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -12. Let r(h) = -5*h + 3. Does 11 divide r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -5, 3, -33 in descending order.\nAnswer: 3, -5, -33, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1167?\nAnswer: -1\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 1. Suppose 40*s = -173 + 53. Determine m(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Suppose 12 = -y + r*i, 0 = 4*y - 2*y + 5*i - 41. What is the greatest common factor of 64 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3045 and 118320?\nAnswer: 828240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.20038\nAnswer: -0.80152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8736.481 milligrams to kilograms.\nAnswer: 0.008736481","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 + -1 + 2 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4005 (base 9) to base 16\nAnswer: b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 64*x**2 - 2*x + 1. Give f(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 71998, 71185, 70370, 69553?\n\"Answer: -t**2 - 810*t + 72809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38390559 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 566\/9 or 62?\nAnswer: 566\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58128 and 42.\nAnswer: 58128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 53 = 3*g + 5*r, -g - 32 = -5*r. Let i(t) = t**2 - 41*t + 40. List the prime factors of i(g).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o - 7\/8*o**2 - 1\/8 = 0. What is o?\nAnswer: -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3121*v**2 + 0 - 3122*v**2 + 0 + 0.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:42 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (44\/(-6))\/((-1)\/((-21)\/(-2))). Suppose -72*o = -p*o. Factor 3\/8*c**2 + o + 3\/8*c**3 + 0*c.\nAnswer: 3*c**2*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203012 (base 6) to base 9.\nAnswer: -105208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.322 - -10.172. Let p = -0.15 - z. Let x = -10 - p. What is the nearest to x in 2\/7, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 15 = -3*h. Let z(w) be the third derivative of -w**5\/60 - w**4\/6 + 7*w**3\/6 + w**2. What are the prime factors of z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 29*p**2 + 31*p - 85. Determine u(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 549\/8. Let o = 1.9 - 2. Let q = 168.78 - 167.78. What is the closest to q in -2, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/13 - 5126*p**2\/13 + 134400*p - 160653312\/13.\nAnswer: 2*(p - 2179)*(p - 192)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375*j + 24 = -371*j. Solve j*t - 27 = -21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:13 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from gggggtgttgtgttgt?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a - 212. Give g(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(13\/156). Is ((-2)\/(2*i))\/((-3)\/(-2532)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.3, -3, -0.2 in decreasing order.\nAnswer: 8, -0.2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 270*x - 536.\nAnswer: -(x - 268)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/792 and -133\/55152.\nAnswer: 606672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3\/3 - 104*c**2 = 0.\nAnswer: 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10583 is divided by 216?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633450?\nAnswer: 2, 3, 5, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110, -238, -392, -584, -826?\n\"Answer: -2*t**3 - t**2 - 111*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 8. Let m(i) = i**2 - 16*i + 30. Let z be m(13). Give h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1965*g - 7. Let d(x) = x**2. Calculate d(q(r)).\nAnswer: 3861225*r**2 - 27510*r + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 - 2*v**2 - 4*v - 6. Let a be b(-2). Let o be a\/12*-2 - (-22)\/33. Solve -3*m + o = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/97, -2, -4, 13?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 q when four letters picked without replacement from {z: 2, l: 8, h: 4, q: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 61 = 4*o - 0*x, -10 = 2*x. Let z be (o\/12)\/(9\/(-6)). Which is the nearest to -0.1? (a) -0.4 (b) -0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0 + 0 + 0 - 2 + (1 - 3 + 1)*(2 + 2 - 5))*(-5*q**5 + 5*q**5 + 2*q**5) - 3*q**5 + 6*q**5 - q**5.\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*r - 66*r**2 - 441*r + 137*r + 135*r.\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 191*o**3 + 10 - 176*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + 5*j)*(-2 - 1 + 1)*(18*j + 4*j - 39*j)*(-3 + 2 + 2).\nAnswer: 238*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4853 divided by 4\nAnswer: 4853\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 120\/(0 + (-2)\/(-3)). Suppose 8*d = 5*d + x. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(6*sqrt(90)\/sqrt(9)) + 4 - (4 + (sqrt(38)\/sqrt(2))**2 + sqrt(19) + (sqrt(513)\/sqrt(3))**2))*5.\nAnswer: -950 - 25*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -22*p - 11*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2.4 (b) 0.06 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-9)*(-15)\/10. Let k(q) = q**2 + 8*q + 10. Determine k(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gckffkqfcnkcnknfk. Give prob of picking 1 f and 1 q.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from adhukluuluadulauku?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*o - 501 - 2079 = 0 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75984 + -20855. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220 less than -14969918254?\nAnswer: -14969916034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**3 + 5*o - 4. Let r be f(-3). What is the greatest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 127*p**4 + 4*p**3 + 165*p**2 - 8. Let b(k) = 127*k**4 + 5*k**3 + 165*k**2 - 10. Let n(u) = -4*b(u) + 5*m(u). Find the third derivative of n(g) wrt g.\nAnswer: 3048*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/k**(10\/11)*k*k)\/k)\/k)\/k)\/(k**(-3\/4)\/k))**(-1\/9) assuming k is positive.\nAnswer: k**(-37\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/35 bigger than -768\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200120210 + -2?\nAnswer: 100200120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0794 and -1849.35.\nAnswer: 146.83839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o - 238. What is the units digit of s(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:07 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2. Let h(c) be the first derivative of 0*c + 16\/3*c**3 + 114 + 0*c**2. Calculate h(k(x)).\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094 divided by 3?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 12*n - 17, 9*n + 2*o = 29*n - 11*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 102. Suppose -m*g + 9980 = -14*g. Suppose g = 15*o + 1405. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -5) + (11 - (14 + -5)). Put -13, q, 7, 2, -4 in descending order.\nAnswer: 7, q, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10217 is divided by 5088.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence empe when four letters picked without replacement from eepeemeeeeeeee?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 833924?\nAnswer: 833924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11719 at most 2450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 124. Let u = -49.5 - q. Let m be ((-2)\/(32\/18))\/3. What is the smallest value in m, u, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t**2 + 23*t**2 - 509 + 496. What is h(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469268247 is divided by 150.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 22*s + 138. Let o be z(-5). Suppose 3*c = 8*c - 2*y - 731, c - 153 = -o*y. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.57 - 0.13. Let x = 1540 - 1538. Which is the second biggest value? (a) -5 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3182 - 3182. Factor -4\/17*t**4 - 2\/17*t**5 + 0*t + 8\/17*t**3 + a + 16\/17*t**2.\nAnswer: -2*t**2*(t - 2)*(t + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(99) + 1)*-3*-1)**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1 + 1 - 21*q - 2 - 2. Suppose -76 = -3*w + 2*d + 25, 132 = 4*w - 2*d. What is the remainder when b(-3) is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1044 = 4*w, 4768*w - 4773*w + 5*q = -1320. Solve -w = -28*u - 34 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9*r + 2736. What is the remainder when r\/19 + (0 - 1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 11*b**2 + 10*b + 12. Let q be t(10). Solve -4*x = k + k - q, -5*x = -k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -651, -1449, -2565?\nAnswer: -3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 141.3274091 and 6153.\nAnswer: 6294.3274091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 1873*g**2 + 1878*g**2 - 55*g + 73 = 0. Calculate g.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5867\/54 or 109?\nAnswer: 5867\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -51, -0.2, 76, 0?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(16\/3) + (-270)\/(-40). Suppose x*o = 9*o - 150. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/165747256 and 61\/32.\nAnswer: 662989024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q - 3*q - 2*q - 4*q + 4*q - 3*q + (-2 + 0 + 1)*(2 - 2 + q) - 2*q + 0 + 0 as u + w*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 14 = 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21304 - 0?\nAnswer: 21304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4772 is divided by 2357?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21016 and 2516.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -743 * 0.2.\nAnswer: -148.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1087, -2, -155 in increasing order.\nAnswer: -155, -2, 1087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 - 528 - 778 = -24*f. Solve 0 = f*q + 6*q - 225 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c64 + -391?\nAnswer: -5325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48327768 and 90?\nAnswer: 241638840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6623 is divided by 6573?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 302627 and -0.0006.\nAnswer: 302626.9994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + b**2 + 0*b)*(-2 - 8 + 0) + 0*b**2 + 2*b**2 - 3*b**2 in the form g*b + l + k*b**2 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/3)\/(10\/15). Is 3 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/4)\/(91\/52). Suppose -4*b = -8, 0 = -2*m - m + n*b + 3. Factor 20\/9*t**2 + 0 - 50\/9*t - 2\/9*t**m.\nAnswer: -2*t*(t - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64986, 129968, 194950, 259932, 324914, 389896?\n\"Answer: 64982*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 24 = -2*d, 3*d + 1331191 - 1331192 = -2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16098, 3, 0 in decreasing order.\nAnswer: 3, 0, -16098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -91329871 and 312482.\nAnswer: -91017389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 224. Let x(t) = t**2 + 5*t + 6. Let h be x(-3). Let i be c(h). Is 8 a factor of (i\/40)\/(2\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158*-0.49\nAnswer: 77.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olpopoloploolll. What is prob of sequence loo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -117. Let f = -78.1 + n. Let p = -1.72 - 0.28. Which is the third smallest value? (a) 4\/7 (b) p (c) f (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x**4 + 17*x**4 + 8*x**4)*(3 - 4 + 0)*(4*x - 6*x + 7*x).\nAnswer: -165*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8310, 18442, 30398, 44178, 59782, 77210?\nAnswer: 96462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361808043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 2*w + 4*w - w + 0 + 0 - w + w + 2*w + (2 + 3 - 3)*(-2*w + 2*w - w) - 2 + w + 2 + 144*w - 4*w + 128*w.\nAnswer: 270*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/41, 500, 19\/10, 0.4?\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4557931309 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)\/d**(-7))\/(d\/(d**(-1)*d)*(d**6\/d)\/d)*((d*d**6*d)\/d**(-1\/2))\/((d\/d**(-3))\/d*(d\/(d*d**(1\/8)))\/d) assuming d is positive.\nAnswer: d**(187\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 2.266862?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 60. Let g(y) = y**2 + 6*y + 1. Let x be g(-4). Let z = x + n. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 72 = d, r + 352 = -3*d + 328 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/205636937 or -1?\nAnswer: 6\/205636937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 8 = 68. Is (x - 165\/35)*721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -0*r - 24. Let q(j) = -2 + 2*j**2 - j**2 - r + 5. Let y = 110 + -111. Let l(o) = -2*o**3 - 2*o**2 - 2. Give y*l(n) - 2*q(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5379)\/(-88)*-4*(-20)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 323 - 2*h + 16*h**2 - 331 + 657 as x*h**4 + m + s*h**2 + k*h + w*h**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152.9 + 152.9. What is the second biggest value in r, -8\/3, -1\/5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -298\/5. Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2143*b + 958*b - 1210*b - 1411*b + 495*b as i*b + t and give i.\nAnswer: -3311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + (-1194)\/(-24). What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(3\/(-10)*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = -n. Let w(f) = 2*f - 10. Let d be w(n). Let u be d + (-2 - -1 - -3). Which is the third biggest value? (a) u (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence las when three letters picked without replacement from aslalsla.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2846498*f**3*i**2 - 8*f**2*i**2 - f**2*i + 4*f*i**2 - f + 568*i wrt f.\nAnswer: -17078988*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*g**4 + 4*g**2 + g**3 + 2*g - 3 - 12*g**4 - 11*g**4 - 4*g**4 to the form v*g**3 + q*g + n*g**2 + c*g**4 + z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81827836.\nAnswer: 2, 23, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -58408, -116806, -175218, -233650, -292108, -350598, -409126, -467698?\n\"Answer: -w**3 - w**2 - 58388*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 72 = 4*u, -4*p = 3*u - 0*p - 19. Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.27, -20\/27, -0.7, 2\/15?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.05 + -22.36. Which is the second smallest value? (a) 0 (b) 1.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 5602. Let f(b) = 7*b. Determine d(f(r)).\nAnswer: -196*r**2 - 5602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*z - 123*d + 121*d, -z = 5*d - 41 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 19\/72, 11 in decreasing order.\nAnswer: 11, 19\/72, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11689873\/16 - -730911. Let c = 294 - n. Do c and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37297803 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99\/13 + -482\/65. Let 1\/5 - 1\/5*j**3 - u*j**2 + 1\/5*j = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22465029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*w**4 + 3464*k*w**2 + 138*k*w - 243*w - 2 wrt w?\nAnswer: 24*k*w**2 + 6928*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 + 29?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(192) - (sqrt(192) - (sqrt(192) - (sqrt(192) + sqrt(192)*-1*3 + sqrt(192)) - sqrt(192)))))\/(-6*-6*-2*sqrt(196)).\nAnswer: -sqrt(3)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22312094, -22312095, -22312106, -22312133, -22312182?\nAnswer: -22312259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 116? (a) -149 (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16235 + -12938. What is the highest common factor of 42 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31.1 (b) -20 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) - (-396)\/16. Suppose 7*n - 3*n = -5*z - s, -5*z - 25 = -5*n. What is the tens digit of ((-158)\/(-1))\/(7 + z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, q: 4, y: 1, c: 1, n: 1, z: 1}. What is prob of picking 1 n and 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 + 2*p - 6*p**2 + 13*p**2 - 2*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3\/2, -0.062.\nAnswer: -0.062, 3\/2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-3\/20))**(-1\/35))**(3\/25))**(3\/8) assuming u is positive.\nAnswer: u**(-387\/140000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874366229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32925685 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 0 + 0)*(-a + 2*a - 2*a)*(2*a - 12*a + 28*a) in the form x*a**4 + g*a**2 + i + k*a + z*a**3 and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/19 - 83\/76. Put -4, 3\/4, 4\/9, z in increasing order.\nAnswer: -4, z, 4\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1336 and 0.3?\nAnswer: 400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/10 + 9*z**5\/20 - z**4\/2 + 14*z. Factor a(m).\nAnswer: -3*m**2*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1267\/9 - -141. Let t = 132 + -130. Factor o*v**t + 2\/3*v + 4\/9.\nAnswer: 2*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.21. Let r = 0.01 + k. Let h = -139\/2 + 69. Sort h, -4\/7, r in descending order.\nAnswer: r, h, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.4 - -41.6. Let z = c + 7. Let i = 59 - z. Which is smaller: i or 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.33404834 and -37668?\nAnswer: 37667.66595166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1705994 litres to millilitres.\nAnswer: 170.5994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3901.56175 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 550*m - 264543 - 133657. What is the remainder when m is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -35.999576. What is z rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62146*d*t**2 + d*t - 216*d + t - 8 wrt t.\nAnswer: 124292*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 133 = -2. Let d be (-6)\/(-16)*6\/k. Let z = 17\/60 - d. Sort z, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1213*y**3 - 352*y**2 - 1829853*y - 2.\nAnswer: 7278*y - 704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*h**4 + 183?\nAnswer: 156*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -64 - -367?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(1\/10))\/z**(-9\/2))\/(z\/((z**1\/z)\/z)*z)**(-3\/47))**(-2\/57))**9 assuming z is positive.\nAnswer: z**(-7884\/4465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11\/6 (b) 2\/17 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 153, 329, 661, 1155, 1817, 2653, 3669, 4871?\n\"Answer: t**3 + 72*t**2 - 47*t + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -8. Let g = s - 4. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*w**3 + 5 + 320*w**3 - 2*w**2 - 541*w**3 - 6.\nAnswer: -762*w**3 - 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p + 126*p + 5*o = 20, -4*o - 5 = 11*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (484\/(-6))\/(48\/(-72)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -83 + 28 - -42?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-359548)\/(-35) + 308\/(-110)?\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17491 - 0.174. Round t to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -19\/16, 0.126, 0.3 in decreasing order.\nAnswer: 0.3, 0.126, -2\/7, -19\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(117) + (sqrt(117)*-2 - sqrt(117))**2 + sqrt(117).\nAnswer: 6*sqrt(13) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**6\/10 + i**4\/3 - 15*i - 17. Let q(p) be the first derivative of d(p). What is the third derivative of q(j) wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3*z**3 - 291526*g**2*z**3 + g*z**2 + 14597*g - 2*z**3 + 279*z**2 wrt g.\nAnswer: -24*g*z**3 - 583052*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*l + 3*l = -30, 3*r - 2*l = 18. What is the remainder when -1*r*(-145)\/10 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 415211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/36*3*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5468513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 32900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 13 + 12)*(-2 + 5 - 1)*(5*u**2 - 4*u**2 - 5*u**2)*(u + 5*u - 4*u).\nAnswer: -400*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5024339.4 to the nearest ten thousand.\nAnswer: -5020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634 or -636?\nAnswer: -636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4076, -197, -4\/7 in decreasing order.\nAnswer: -4\/7, -197, -4076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -101?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 429*h + 11457. Give o(-20).\nAnswer: 2877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702 = -223*u + 2197 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/11 + 10*s**3\/11 + 2*s**2\/11 - 10*s\/11 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44184.54 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(11\/5)\/a**(-3\/4)*(a*a**2)\/a*a**(-3) assuming a is positive.\nAnswer: a**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*t + 8, -5*x - t + 8 = -2*t. Solve -x = -f + 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2855*x = -1823*x - 23736 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -96*i + 674. Determine g(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -67. Suppose f - 3*b + 4*b = u, 0 = 2*f - 2*b - 40. Suppose a + 4 = -0*a - 2*r, -f = 3*r. What is the remainder when 82 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14508, -14499, -14490, -14481?\n\"Answer: 9*h - 14517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**2 + 2*u. Let q = -17 - -19. Let z be i(q). Let v be 4\/(z\/(-14))*9. Solve o + 2*o = -15, -4*m = -5*o - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111000101100 - 10?\nAnswer: 100001111000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 64 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-103)\/(-66950)*65 + 6\/(-110).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -526900, -2\/5 in decreasing order.\nAnswer: 5, -2\/5, -526900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313655 - 110724 = 21*l - 91930. What are the prime factors of l?\nAnswer: 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b - 28. Let o be n(-6). What is the second derivative of 24*h**o + 13*h**2 + 105 - 107 - 5*h wrt h?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 860 and 2150.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/1*((-6198)\/3099)\/((-4)\/(-2)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 9*i + 27. Let h be k(12). Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - 1539?\nAnswer: -1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + 3*(1 - 2) + 344. What is the highest common factor of z and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b**2 + 28*b + 105. Let n be c(-4). Let x = n - -326. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 94\/4 + (-1)\/2. Let n be -10*(-1)\/5*-5. Let a = h + n. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 548.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11. Put 4, l, -2 in descending order.\nAnswer: 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1068 divide 52035096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/69 + -77\/276. Let g(q) = q - 3. Let w be g(6). Is w at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035337 is divided by 723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 931960, 1863844, 2795728, 3727612?\n\"Answer: 931884*i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 199562538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*((-38)\/8 + 3\/1). Suppose 0 = 4*h + 3*j + 1, -t*h + 3*j + 19 = -2*h. What is the least common multiple of h and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 5. Let f(y) = y**3 + 29*y**2 + 27*y - 33. Let v be f(-28). Let o(i) = i. Let q(d) = -d + 1. Let k(c) = o(c) + 4*q(c). Give v*k(z) + 4*w(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 77 = 18. Let a = m - -17. Let f(h) be the first derivative of h**2\/2 + h - 1. Calculate f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + -0.2. Let w = -209 + 1879\/9. Let k = -0.8816 + -0.1184. Which is the closest to k? (a) t (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {z: 1, i: 2, w: 2, t: 1, e: 1, b: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3962 - -3969. Solve -494 = -c*d - 473 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**4 - 13567*l**3 + 9199101*l**2 + 5529775*l - 3682898 = 0.\nAnswer: -1, 2\/5, 1357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1104413 (base 5) to base 12.\nAnswer: b252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -1. Let l = 224 - 224.0425. Let u = 0.0575 - l. Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 545*r + 2207. What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h - 2*h)*(0*h + 2*h**2 + 0*h) + (0*h + 0*h + 2*h + (h + 0*h + 0*h)*(3 - 1 - 1) - 2*h + 3*h + 2*h)*(-1619*h**2 - 1252*h**3 + 1619*h**2).\nAnswer: -7514*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-18) - (-530)\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52216*b - 52216*b - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (0 + -3 + sqrt(847) + 1 + (sqrt(847) + -3)*-3)**2) + -2.\nAnswer: -616*sqrt(7) + 6868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 282?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.1. Let u = d + -4.9. What is the nearest to -2\/5 in -5\/6, u, 1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 2. Suppose 0 = 13*f + 46 - 111. Sort 7, f, d in increasing order.\nAnswer: d, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 times -29605?\nAnswer: 2220375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -313, -3, 3, 0.\nAnswer: -313, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003671 rounded to six dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10210, -10215, -10220, -10225, -10230?\nAnswer: -10235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210038592 + 0.4.\nAnswer: 210038592.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8 + 5. Let j be (-2)\/b - 37396\/18. Let s = 2077 + j. Find the common denominator of 39\/8 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 358.358 + -358. Let b = s + -89.458. Let a = 89 + b. Do 3\/8 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -2 (c) 0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2. Let a(h) = -h**3 + 39*h**2 - 36*h - 76. Let l be a(38). Let z(w) be the second derivative of 5\/6*w**3 + 7*w + 0*w**2 + l. What is z(i(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 8*n**2 - 9*n - 9. Let b(i) = -i**2 - 3*i + 3. Let f be b(-5). Let s be g(f). Solve 0 = -s*v - x - 6, -2*x = -5*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 409*c + 8838691 - 8835828 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21384701, 42769402, 64154103, 85538804?\nAnswer: 106923505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + 1*sqrt(13)) - (sqrt(312)\/sqrt(6) + sqrt(13)).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10062 and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r + 2*j + 10, 9 = -3*j. Let d be (1\/2)\/(3\/18). Suppose g - d = -r. Sort 15, g, -3 in decreasing order.\nAnswer: 15, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5338 + 16370\/3. Let s = -665\/6 + b. Find the common denominator of -6*(1 - 7\/22) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f - 2*f)*(-1 + 1 - 2) + (-2*f**3 + 0*f**3 + 3*f**3)*(2 - 1 - 3).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 42200.577 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 2373*y + 265. Calculate i(0).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807090?\nAnswer: 2, 3, 5, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 + 3*a + 4. Let p be x(0). Let o be 1 + 1 + 0\/2. Solve -8 = p*q - m, 0*m + o*m = -q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 33*k**3 - 111*k**2 + 135*k - 54.\nAnswer: -3*(k - 6)*(k - 3)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-44) + 1 - 75\/110. What is the nearest to 0 in 4, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2084, -4006, -5602, -6710, -7168, -6814, -5486?\n\"Answer: 27*v**3 + v**2 - 2114*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 25 = 5*j, 0 = 2*j - 4*z - 3 - 7. Let l be j - 6\/3 - -207. Suppose -261 = -4*v + 5*u, -3*v + 2*u - 3*u = -l. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*u**2 - 5*c**2 + 51*c*u**4 - 15*c*u - 19*c + u**3 wrt u.\nAnswer: -12*c**2 + 612*c*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 756.6 rounded to the nearest ten?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*a. Is 2 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - -1)\/(-2 - 0). Let j be (-1 - (2 + p))*(-2)\/(-2). Let q be j*(2 + 12\/(-4)). What is the second biggest value in q, -1, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -64, -245, -526, -907, -1388?\nAnswer: -1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 22 - 42 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**8)\/(i\/(i\/((i*(i*(i\/((i*i**(4\/7))\/i))\/i*i*i)\/i)\/i)*i*i)))\/(i**6*i\/i**(3\/10)))\/(i\/i**(-2\/21)*i\/(i\/(i*i**4)))**(-3\/4) assuming i is positive.\nAnswer: i**(-599\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.049, 37, 0.2, 0, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwp. Give prob of picking 1 w and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 - 69. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 + 5*o**2 - 2*o - 2. Let j be l(1). Let h be (1\/(-2)*-38)\/1. Let s = h + -211\/11. Which is the nearest to s? (a) -0.1 (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 + o + 20. Let g be m(11). Suppose -1020 = -2*r - 3*j + 1017, -5*r + 2*j + 5121 = 0. Let s = r - g. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - 3 + j**2 + 93*j - 156*j - j**3 - 206*j in the form m*j**3 + n*j + o*j**2 + h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:06 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39356722 and -4?\nAnswer: -157426888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k)**(30\/7)*(k**5*k)\/((k\/(k*(k\/(k*k**(-3\/4)\/k))\/k))\/k))**(1\/32) assuming k is positive.\nAnswer: k**(577\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215 (base 9) to base 16.\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, r: 1, c: 8, a: 6}. What is prob of sequence rrz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.743 + 1.227. Let c = i + 0.03. Is 3\/7 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32552014 + -1052?\nAnswer: -32553110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 0*d**3 + 7*d**3 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (225*x + 38*x + 96*x)*(-3 - 5*x**2 + x + 9 - 6) as i*x**3 + k + r*x**2 + y*x and give r.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*o**2 - 68*o**2 + 26*o**2 + 30*o**2 - 6*o**2.\nAnswer: -189*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -131 and 20.7?\nAnswer: -2711.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.5 or 2\/9?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:10 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 2*s + 2. Suppose 2*m - 28 = -0*m - 4*a, 0 = 2*m - 4*a + 12. What is l(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2623 + 5682. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 148, 184, 182, 130, 16?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 311 + -1?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 34. Let h be j(15). Suppose 6*b - 7*b - v + 48 = 0, -h = -b + v. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((0 + -1 + sqrt(1539) + sqrt(1539) - sqrt(1539)) + 5 + (4*sqrt(1539) - sqrt(1539)) + -4)*-1)**2.\nAnswer: 24619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2501, 48, -3?\nAnswer: -0.2501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 456 = 2759 - 168 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105198 and 210?\nAnswer: 3681930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2. Let q be r(-2). Let u be 4\/(-14) - 60\/(-14). Suppose -23 = -u*d - 3. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnennnnnn. Give prob of picking 3 n.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 545975471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 78*h + 15807. Give m(-202).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h. Let m(f) = 152*f**2. Calculate m(r(v)).\nAnswer: 9728*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7*v - 50\/7 - 2\/7*v**2.\nAnswer: -2*(v - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31262 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3895\/6? (a) -4 (b) 5\/6 (c) 1\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311742485 divided by -5.\nAnswer: -62348497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/9)\/14*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 210 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 15546*q**3 - 3*q**2 - 3*q + 6. Let v be p(6). Let o = v - 832739709\/248. Let u = o + 1\/31. Find the common denominator of 103\/6 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 15 + 3. Let f be 9\/(-6)*4\/x. Suppose -z + 3*z + f = 0. Which is the nearest to z? (a) 4 (b) 0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.979 - -19.979027332. Round f to seven decimal places.\nAnswer: 0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 2*h**2 + 65*h - 1. Let j be s(9). Solve -4*p + j*k - 15*k = -2, -p + 2*k = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 10. Give l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.72 - -0.62. Sort -2, r, -4 in ascending order.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 + 5*x. Suppose -2*m + 3*t + 36 = 0, -2*m - 18 = -3*m + t. Let n(p) be the first derivative of p**3\/3 - p**2\/2 - 5. What is m*n(c) + 4*h(c)?\nAnswer: 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 34. Suppose -5*x + p = f + 4*f, x - 4*f = -16. List the prime factors of ((-16)\/(-4))\/(2\/x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Let i = -3392 + 3396. Calculate the remainder when q is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-18)\/3)*0. Suppose 5*j + 4 = c, c + 2*j + o = 4. Suppose 0 = 5*t - 2*t + 15. Sort -4, c, t.\nAnswer: t, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 + 6 = 0. Let y = -274 - -285. What is the smallest common multiple of w and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52485 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 22. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/6)\/s)**1\/((s**(-12)*s)\/s**7))**23 assuming s is positive.\nAnswer: s**(2461\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 221642686673 - 455\nAnswer: 221642686218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 2*z**2 + 5*z - 7. Let f be b(-3). Suppose -c + 5*h = f, -4*h - 7 + 23 = 0. Let l be (-2*(-2)\/(-6))\/2. Put l, -1, c in descending order.\nAnswer: l, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 - -8) + ((-564)\/(-32))\/(-3) and 54\/39*14\/6.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 91455*z - 91458.\nAnswer: 3*(z - 1)*(z + 30486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1323489, 1323466, 1323445, 1323426, 1323409, 1323394?\nAnswer: 1323381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 203\/(-21) + (-2)\/(-3). Let b be (-29)\/y + 2\/(-9). Suppose 2*f - 20 = -2*g, 5*g + b*f - 30 = 14. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -0.4, -5\/4 in descending order.\nAnswer: 3, 2, -0.4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29629592 divided by -4?\nAnswer: 7407398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 8*r**2 + 148*r - 49. Calculate j(10).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or -4188?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**4 + 14*d**3 - 370*d**2 + 24*d - 2. Let v(h) = -h**4 - h**3 + 6*h. Let t(l) = n(l) - 4*v(l). Find the third derivative of t(o) wrt o.\nAnswer: 24*o + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -461*o - 21*o - 511*o - 126*o in the form r + f*o and give f.\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + w = -4, 778*h - 782*h + 3 = 3*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32635764 and 1176.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 15*a - 4. What is the remainder when w(7) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5637494 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5012*h + 6159*h + 6847*h + 7781*h to the form p + g*h and give g.\nAnswer: 15775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 8521700624928*q**2 - 8521700624928*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 72. Is 4 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*t + 0 = 26, 2*q = 3*t - 6. Suppose 5*m - 5 = -0*m - 2*j, -j = -5*m - 10. Let s be (5 - m)\/(6\/8). Solve -g - q*g = -s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 7 + 3*w to u + c*w and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -31. Solve -f - l = 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20228 is divided by 719.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1 + (2 + 4 - 4)*(3 - 2 - 2))*(3*t**4 - 2*t**4 + 38*t - 30*t).\nAnswer: -4*t**4 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 36*h - 3. Let t be g(2). Let s = 622\/9 - t. What is the smallest value in -1\/3, 0.3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {l: 1, e: 4, j: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*l - 36 = -5*w, 0 = 2*w + 2*l - 18. Suppose -w = -4*o, -2*o = 5*p - 4 - 15. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 38 and -229.3617 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-7)\/(-6))*-7. Let k(s) = 2*s + 0*s + 0*s - 1 - 1. Does 4 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10311303102 - -13?\nAnswer: 10311303121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, -0.1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.296 plus 6?\nAnswer: 6.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -7, 15, 37?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34641 * -11\nAnswer: 381051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:54 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from euueweueeeeueeeeeu?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 130*k**2 + 777*k - 18. Let v be r(-6). Let s(a) be the second derivative of v*a**2 + 0 - 3\/20*a**5 - 3\/2*a**4 + 0*a**3 + 26*a. Factor s(c).\nAnswer: -3*c**2*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000378304718 rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w - 8. Let o be m(-2). Suppose 0 = -o*q + 11*q + 672. Suppose 5*l = 17*l - q. Calculate the greatest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, 71, 182, 291, 398, 503?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) 0.4 (c) -3\/7 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(45\/(-15))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let h(j) = 2*j**2 + 7*j**2 - 1 - j**2 - 5*j**2. Let c(a) = -a**2 - 1. Let q(t) = -3*c(t) + 3*h(t). Determine s(q(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 103 - 145. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 3. Suppose 2 = -h - 4*j, 5*h + 10 = j - 0. Let m be t(h). Suppose -5*n + 10*n + 3*p - 32 = 0, 3*p = -m*n + 24. Solve 20 = n*b + b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2*(l*l*l*(l\/((l*l*(l**3*l)\/l*l*l)\/l))\/l)\/l)**(4\/5)*(l**(-4)\/(l\/l**(-7)))**(1\/15) assuming l is positive.\nAnswer: l**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 280*r - 703*r - 16920 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30506.\nAnswer: 2, 7, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k - 18 - 3*k + 6*k + 7*k + 8*k**3 - 8 to the form r*k + c + a*k**2 + f*k**3 and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*i - 72, m - 43 = -0*m - 2*i. Calculate the greatest common divisor of m and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12341287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 5*m + 6. Let a(q) = -q**3 - 5*q**2 - q + 1. Let r be a(-5). Let x be v(r). Is (x - -332) + (13 - 10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61575 is divided by 148.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 - 13*p - 2480. What is z(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361 - -329. Let u be -2 + x\/30*95\/(-38). Are u and 471 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - h**2 - 3*h + 1. Suppose -17*j + 14*j = -9. Let t(w) = -2*w**2 - 4*w + 3*w - 6*w - 2*w**j + 2 - 2*w**3. Calculate 7*s(z) - 3*t(z).\nAnswer: -2*z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (22\/(-6))\/(3\/(-27)). Let h = i + -23. Suppose 73*b = 67*b + 174. Calculate the remainder when b is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/((m*m**3)\/m)))\/((m\/m**(-2\/7))\/m)*m**(-4)*m\/(m*m*m**(1\/4)*m*m*m))**(3\/16) assuming m is positive.\nAnswer: m**(-549\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43548067?\nAnswer: 17, 2561651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8039858 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 11 = 2*i. Solve 6 = 3*q - i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3607 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c - 16. Let z(b) = b - 1. Determine f(s) - 3*z(s).\nAnswer: s**2 - 2*s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2439*f**4 + 8567*f.\nAnswer: 29268*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-21)*(-105)\/135.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8655485 and 61\/145.\nAnswer: 8655485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78347773 divided by -11192539.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**5 - 23286315*p**4 - p**2 - 9336*p + 225.\nAnswer: 20*p**3 - 279435780*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n - 283 = 28*n - 17*n + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 815364, 815418, 815574, 815886, 816408, 817194, 818298, 819774?\n\"Answer: 9*u**3 - 3*u**2 + 815358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143\/290 + 1\/145. Let l = -1.8 - -2. Let i = -16 + 35\/2. Which is the nearest to 0? (a) i (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2 + 7. Let i(c) = -11*c + 16. Let u(f) = 4*f - 6. Let a(r) = -3*i(r) - 8*u(r). Calculate a(k(z)).\nAnswer: -4*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73 - 4*w + w - 69)*(3 - 6 + 1)*(-8*w - 2*w + 3*w) to the form o + x*w + n*w**2 and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j + 37. Give t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 8 + 5*h + h**2 - 4*h. List the prime factors of r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*m - 81*y + 84*y, -5*m + 3*y = -38. Solve -2*r = -9*r - m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i + 2. Let m(p) be the second derivative of p**6\/90 - 233*p**3\/6 + 2*p - 40. Let u(x) be the second derivative of m(x). Calculate u(b(w)).\nAnswer: 576*w**2 - 192*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.477 and -14967.\nAnswer: -14953.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 6:20 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979909.\nAnswer: 7, 139987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 885, 1339, 1807, 2295, 2809, 3355?\nAnswer: 3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-732)\/(-7686)*(-8 - -2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 5*s + 3. Suppose -6*o - 35 = -13*o. What is n(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 168*n**2 - 2*n + 24. Determine i(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 + 11525. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.059, -1\/7.\nAnswer: -1\/7, -0.059, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - 80. Let a(p) = -2*p - p**3 - 3 + 5*p**2 + 2 + 7*p. Give a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -226 - -41?\nAnswer: -1e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*g + 7 = -l, 5*g = -3*l - 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-38)\/q**(19\/2))**(-4\/27))**29 assuming q is positive.\nAnswer: q**(5510\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7295496*o**4 - 4*o**2 + 103041*o + 2?\nAnswer: -175091904*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(360)\/sqrt(32) + sqrt(45) - sqrt(45))\/(1*sqrt(324) - sqrt(9)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -4*b - d, -d - 245 = -5*b + d. Suppose -10*r = -b + 17. Solve -3*x + 2*q = -4 - 3, 11 = r*x + 2*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 6*u**2 + 3*u**2 + 4*u**2 to v*u + r + d*u**3 + w*u**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -598049852*d**3*p*u**2 - 724*d**2*p*u**2 - 2*d**2*p*u - 2*d**2*u**2 + 2*d*p*u + d - 2001*u wrt d.\nAnswer: -3588299112*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -9 (c) 213 (d) -2\/9 (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 786169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/7 less than or equal to 31091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-28)*(m**(-28)\/m)\/m)\/(m**18*m*m*m\/((m**(-24)*m)\/m*m)*m*m) assuming m is positive.\nAnswer: m**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -14*g. Let h(z) = -5*z. Let m(l) = 3*l. Let b be (-60)\/(-14) + (-14)\/49. Let x(i) = b*h(i) + 7*m(i). Determine x(a(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m**3 - 2*m**2)*(-5 + 2 + 1)*(156 - 156 + 28*m).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -4, -154, 2 in descending order.\nAnswer: 2, -1, -4, -10, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 10, -3, -2\/5 in descending order.\nAnswer: 10, -2\/5, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -680672 divided by 11\nAnswer: -680672\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11202 (base 4) to base 5.\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*v - 160*v**5 - 935*v**5 + 8 + 8 + 17 wrt v?\nAnswer: -21900*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/2 in -22, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p - 2. Let z(b) = -2*b**2 - 3*b + 2. Let d(i) = -6*w(i) - 7*z(i). What is the second derivative of d(x) wrt x?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 114989499?\nAnswer: 114989503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144843068?\nAnswer: 2, 197, 397, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 23*k**3 + k + (-65*k + 26*k**2 + 65*k)*(-2 + k + 2))*(1 - 3 + 1)*(0*k - 4*k + 2*k).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3 + 24*k**2 - 192*k + 54. Determine w, given that b(w) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + z + 3. Let t be f(3). Let k = t - 18. Put -4, -5, k, 3 in decreasing order.\nAnswer: 3, k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*19*(20 + -10 - -4). Calculate the highest common divisor of y and 1577.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 25 = -4*s + 7, 0 = 2*s + 4. Suppose x + 0*c + 17 = -3*c, -3 = 4*x - c. Let u = x - n. Solve -f + u*f = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -c + 3*c - 18, -4*c - 7*q + 26 = 0. Calculate the highest common factor of 135 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270.3 - -214. Let p = m - -56.2371. What is p rounded to 3 decimal places?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/53 (b) 0.18 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.973021 decades to centuries.\nAnswer: 0.4973021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-8*a**5 - 10*a**5 - 16*a**5).\nAnswer: 34*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8470.34 rounded to the nearest one hundred?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 733055399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**4 + 2*a**2 - a**4)*(-4*a - 4*a + 5*a).\nAnswer: 3*a**5 - 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*j + 20. Let x(b) = -b**3 - b**2 + 3*b + 2. Let q be x(-2). Solve -h + 6*h - j = q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 + (-52)\/(-1690)*642\/4 and 47\/4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52658 less than 209?\nAnswer: 52867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -99 + 1\/5*k**5 + 1\/8*k**6 + 0*k + 3\/8*k**2 + 1\/3*k**3 - 7\/8*k**4. Solve j(z) = 0.\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30775793 is divided by 3584.\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 0. Solve h = 4*r + 2*f - 2, 6 = -r + 2*f + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5110?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2945, -5889, -8831, -11771, -14709, -17645, -20579?\n\"Answer: v**2 - 2947*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101121001112 (base 3) in base 10?\nAnswer: -739976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294130339\/5 + -58637033. Let f = -188214 + u. Let g = 816 - f. What is the common denominator of 89\/6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*q + 3984 = 0, -4*v - 3*q = -254 - 5083. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 17 = 4*v, 2*z - v + 0 = -2. Let g be z\/(-2 + 27\/15). Let p = 32 + -33. What is the second smallest value in -2, p, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g + 5. Let i be -21*(-2)\/(-6) - -11. Solve 5*u - 2*z - 7 = -4*z, g*u - i = z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 - 267. What is the closest to -4 in -2\/3, l, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23927320 divided by -598183?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 4. Let i = j + -6.1. Let h = 4118 + -4126. Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*h + 3*s, 21*h + 17*s - 8*s = 6*s - 87 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {t: 5, k: 5, i: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1144*o + 15394 = -3884*o - 90194 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -174a (base 12) to base 16\nAnswer: -aea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282002629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, k: 1, c: 1, s: 9}. Give prob of sequence sd.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3379 - -9339. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 355 + -355.0000097. Round g to 7 decimal places.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -51 - (1 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -248083*d**2. Let h(b) = 2*b**2. Give n(h(x)).\nAnswer: -992332*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40815.26 + 0.3.\nAnswer: 40815.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/376 and 19\/186?\nAnswer: 34968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10927791 to the nearest integer?\nAnswer: 3306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((152\/570)\/((-2)\/5))\/((-360)\/2880)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -3\/10 (c) -26 (d) -2\/49 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:56 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2264 or -2265?\nAnswer: -2264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 2. Let x = -6 - -4. Calculate the remainder when 3\/(3\/x)*-10 is divided by s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2f6e9?\nAnswer: -2f6e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.14 * -152.3\nAnswer: 325.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s - 5*s**2 + 0 - 11\/27*s**3 - 1\/270*s**5 - 1\/9*s**4. Find h such that d(h) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 22. Solve 5*t + r = 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 2, 4, 178 in decreasing order.\nAnswer: 178, 4, 2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 236960863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a. Let h be z(-5). Let v = h - -30. Suppose 5*q + 3 - 48 = 0. What is the remainder when v is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)*1))**2 + -2 + sqrt(36)\/(2*sqrt(12)*-1).\nAnswer: -sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -2) + (-108)\/36. Solve 3*n = 11 - r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - a + 88. Let c be h(0). Calculate the highest common factor of 132 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 9) in base 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*m**2 - 58*m**2 + 87*m**2 + (-1 - 3*m + 1)*(-m + m - m).\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 + 30\/4. Let m = -9 + i. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089 take away 142?\nAnswer: -141.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(8\/3)*t*(t\/t**(-5))\/t*t**(1\/4)*t*t\/(t*t*t**(-5\/2)) assuming t is positive.\nAnswer: t**(137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/(9\/(-60)). Let z = -5 + b. Suppose -z*t + 6 = -9. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.2877 + 3295.\nAnswer: 3286.7123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*-6*sqrt(75) - sqrt(75)))**2.\nAnswer: 510*sqrt(3) + 21684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105.9 + -109.2158. Let z = 3.44 + w. What is z rounded to 3 decimal places?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 195. Does 38 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023889.\nAnswer: 661, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(-7\/2)\/(i*i**1)**19 assuming i is positive.\nAnswer: i**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*3\/18 - (-215)\/10. What is the greatest common factor of p and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88, 111, 142, 181, 228, 283, 346?\n\"Answer: 4*p**2 + 11*p + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.3. Suppose -3 = -2*a + 1. Let y be a + (-1 - -2 - 4). What is the closest to c in -2\/15, y, -1\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010768 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16153\/(-40420) + 12\/30. Let v = n - -335471\/40420. Find the common denominator of v and -37\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11190 + 6?\nAnswer: 11196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50376 by -4.\nAnswer: -12594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 7, -152 in ascending order.\nAnswer: -152, 7, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1 (base 15) in base 5?\nAnswer: -3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106.9 + -107. Which is the biggest value? (a) -0.04 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q - 88*q + 257*q + 380*q.\nAnswer: 533*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 + 40*a**2 + 16*a - 137. Give y(8).\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2926 + -43832\/15. Let f = d - 56\/15. What is the third biggest value in f, -5, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15161 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) 13 (c) 5\/2 (d) -6\/7 (e) 86.8 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 54108087?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 1 t when three letters picked without replacement from fttxttwfttwktee?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = 310*o - 674. Solve f - o = i, 4*i - 2 + 11 = 5*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 0, 4, 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -640, -1268, -1892, -2512, -3128, -3740, -4348?\n\"Answer: 2*d**2 - 634*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2235952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 3 (b) 5\/4 (c) 2 (d) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, -7\/4, 0?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k + 6. Let a(b) = 781*b + 363. Let y(x) = -2*a(x) + 121*r(x). Let q(o) = -10*o. Give 4*q(p) + 3*y(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 326567807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 2, -0.3, -59, 34, -0.01 in decreasing order.\nAnswer: 34, 2, -0.01, -0.3, -3\/4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*j - 124. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -7.2. Let d = -6.4 - l. What is the closest to 0.1 in 4, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5127 - -0.4873. Which is the fourth biggest value? (a) -3\/2 (b) 1\/5 (c) l (d) 13\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 16146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 22. Factor 18*c**2 + 3*c**3 + n*c + 0 - 23*c**2 + 0.\nAnswer: c*(c - 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - p**3 + 0*p**3 + (0 - 2 + 4)*(-2*p**3 + 5*p**3 + 0*p**3) + p**2 - p**2 + p**3 as y*p**2 + n + b*p**3 + v*p and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -6*v + 36 - 21, -12 = -v - 4*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, 4.\nAnswer: -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q**2 - 97*q**2 + 50*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372545 - 225*y - 372545 - 99*y**5 - 3*y**3 wrt y.\nAnswer: -1980*y**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -34\/3*h**3 - 2\/9*h**4 - 1250\/9*h - 150*h**2 + 0 = 0.\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpqjpjjqqm. What is prob of picking 1 q and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1414, 2308, 2686, 2548?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/105350 and -67\/458150.\nAnswer: 19700450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 + 62. Suppose q = 4*o - 2*o. Suppose -17*d + 8*d + 360 = o. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 20. What is v(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2*f + 16. Let k(n) = -n**2 + 1. Let c(i) = 2*i**2 - 4. Let q(s) = f*k(s) - c(s). Let l(b) = -12 + 2*b**2 + 12. Determine l(q(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5086 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-2)*(-420)\/(-350). Let l be 1\/(0 + 1\/3). Let p = l + x. Calculate the least common multiple of 20 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 3 (c) -0.01 (d) -0.4 (e) -5\/4 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/4 - 2*i**3\/3 - 3*i**2\/2 - i - 4. Let f be b(-2). Suppose -271 = -f*z + 4*p, 1 = 4*p - 3. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubuubub. What is prob of sequence ub?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109473941 is divided by 2174?\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 109 + -64 - 107 - -30\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:04 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvviillxxii. What is prob of picking 1 v, 1 x, and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -45. Suppose 2*i - n = -9. Let w be (i - -5 - -1103)\/((-3)\/31250). What is w rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2642*z**2 + 2543*z**2 + 2*z**3 - 9 - 3)*(z + z - 6*z).\nAnswer: -8*z**4 + 396*z**3 + 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Differentiate 0 - 3*v**3 - 23*v + 23*v + k with respect to v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/25520 and -37\/3712.\nAnswer: 204160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 0, -22 in decreasing order.\nAnswer: 5, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7023719 minutes?\nAnswer: 42142314000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1602194*z - 15575586 wrt z.\nAnswer: 1602194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + 325?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 679776040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -20. What is the highest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m = 20. Suppose 3*c = 12, -m*c = -2*y - c - 14. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -230\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**3 + 5*o - 2*o**2 - 7*o + 2*o**2.\nAnswer: 17*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/4*1\/5. Suppose -4 = x - 0. Sort 3, n, x in decreasing order.\nAnswer: 3, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 a when four letters picked without replacement from {f: 3, e: 7, a: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 26*p - 216. Let i be o(33). What is the second smallest value in -30, i, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 107 in descending order.\nAnswer: 107, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1221\/(-16280)*(-20)\/(-5).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 2, t: 7, a: 4}. Give prob of sequence atmo.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3436491 is divided by 427.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -25*d**4\/4 - 2*d**3\/3 - d**2\/2 + d + 1. Let b be ((-396)\/(-108) - 2\/3) + -4. What is the tens digit of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**2 + 2*g + 6. Let p be s(5). Suppose y - 13 = p. Calculate the remainder when 72 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7adad7 (base 16) in base 9?\nAnswer: -16131416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -17. Suppose p = -o - 3*p - a, -p + 9 = 3*o. Let z = -0.8 - 0.2. What is the nearest to z in 0.2, 2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.5. Round o to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1. Let s(k) = 5*k - 4. Suppose 3*i = 2*d - 11, -3*d - 2*i = -i. Let b(w) = d*s(w) - 6*j(w). Find the first derivative of b(t) wrt t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 8*t**2 - 5*t - 4. Let n be r(9). Suppose -4*y = -0*y - n. Let c = y - 1. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 583203462 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -390 at most 2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2)\/2*2. Suppose v*q - q = 16. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 357 - -51. Determine b, given that 26 - 14 - 2 - v*b + 1156*b**2 + 26 = 0.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 51. What is r(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2413, -4917, -7519, -10219?\n\"Answer: -49*v**2 - 2357*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, t: 13}. What is prob of picking 4 t?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084134824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1710158\/3 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 6*p - 47856, 260 + 47574 = 4*q - 5*p. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -178, 0.4, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1347*w**4 - 4 + 13 - 1344*w**4 + (w**3 + 2*w**4 - w**3)*(-2 + 1 + 3) to b + x*w**2 + c*w + y*w**4 + d*w**3 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6151438 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155 or 6958\/45?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1232*q - 1223*q - 1 + 2 + 3. What is the remainder when 178 is divided by f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 40. Let g be 8\/6*p\/2. Is 10 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0 - 1\/48*i**4 + 0*i - 1\/240*i**6 + 16*i**2 - 1\/60*i**5 + 0*i**3. What is z in t(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -32, -10, 30, 94?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -29, -24, 15, 100, 243, 456, 751?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -44329\nAnswer: 1\/44329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 343004?\nAnswer: -343012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21110 = -3240*n + 1129*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178 - (-8)\/12*-6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 10*w + 6. Let v be x(4). Let a = v + 14. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 712 and 304176724.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**2. Let u(q) be the first derivative of q**3\/3 + 232*q + 84. Let m(y) be the first derivative of u(y). Calculate a(m(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1785 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 12*v + 10. What is the least common multiple of b(-12) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226592*c**6 - 6*c**3 + 46*c**2 - 2*c - 132561?\nAnswer: -27191040*c**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*w - 34*w - 8. Let n(f) be the second derivative of 0 - 5\/6*f**3 - 1\/4*f**w - 1\/20*f**5 - 2*f**2 - 2*f. What is n(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 246807789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17599211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 1.7. Let w = -3 + z. Which is the smallest value? (a) 0.5 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26837 is divided by 5366.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 0, -66*b - 916 = -68*b + 4*n. Solve -b = 6*m - 480 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**3*q*t + 96*c**3*q + c**3*t + c**2*q - 26*c**2*t - 23*c*t - 2*c wrt c.\nAnswer: 36*q*t + 576*q + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 50*b + 43. Calculate q(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15576)\/(-6490)*(-5)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 23*q**2 + 12*q + 19. Let s be h(11). Solve -131*c = -137*c - s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d = 500*d - 910 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399 is divided by 237.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17\/36 + -2\/9. What is the second biggest value in -0.4, l, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {n: 2, s: 9, b: 5}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 20. Let n be (-42)\/f - (-2)\/11. Suppose -n*b + 7 = -5. Solve -u = 2*u + b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/16307 and 123\/90850.\nAnswer: 64412650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677*p - 677*p - 11*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 a, and 1 w when four letters picked without replacement from vvaxjuw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -71*-190.8291\nAnswer: 13548.8661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1229, -5461, -16949, -39323, -76213, -131249, -208061, -310279?\n\"Answer: -605*v**3 + 2*v**2 - 3*v - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*168\/(-8) + 10 + (-288)\/(-26)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 831 + -831.5. Let i = 2 + -1. Which is the nearest to -2\/3? (a) v (b) -2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7598391889973 + -132\nAnswer: 7598391889841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 9 + 8*t**2 - 9 + (-5*t + 5*t + t)*(-t**2 + 5*t**2 + t**2).\nAnswer: 6*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*f + 209*f - 273*f.\nAnswer: 147*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444408 (base 11) in base 6?\nAnswer: 23104252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55710026?\nAnswer: 2, 43, 557, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -12 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133513307 - 7.69.\nAnswer: 133513299.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*h + 31 = 0, 5*g - 5*h = -3*h + 43. Suppose -184 = -g*d - 139. Solve d*a - 19 + 4 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 9 - 3. Suppose 2*y - 2 = -x + v, -4*y = 5*x - 28. Let c = 5974 - 5965. Solve -y*t + c = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92346513 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 + 56\/9*b - 10\/9*b**2.\nAnswer: -2*(b - 6)*(5*b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 0 + 1 + 2. Suppose 0 = a + n*a + 20. Let u(c) = 4*c + 5*c**2 - 5*c**3 + 6*c**3 - 6 + 1. What is u(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6) + 5\/2. Let v be (0\/16)\/3 + (1 - 3)\/(-1). Solve j = v*b - 4*k, -5*b - 18 = -2*b + k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 8*l**2 + 4*l + 23. Let o be m(7). Let n(y) be the first derivative of -1\/2*y**o + 1 - 10*y. What is n(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + g + 13 = -0*g, 4*g + 13 = -t. Is (1555\/3 + -6)*t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**3 + 2*h**2 - 16*h - 2. Let b(p) = p**3 - p**2 - p - 1. Let a(y) = -6*b(y) + l(y). Factor a(m).\nAnswer: -2*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5457 and -26.\nAnswer: -40.1882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -72, -140, -246, -396, -596, -852?\n\"Answer: -s**3 - 10*s**2 + s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-8))**(-1\/25) assuming p is positive.\nAnswer: p**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) 364 (c) 18 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:34 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/45 or -944294\/15?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2703 - 6849*s - 2703 in the form g*s + h and give g.\nAnswer: -6849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 75*p**2 - 40*p + 79. Is 21 a factor of i(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0 + 0*w + 0*w**4 + 0*w**3 - 4*w**2 - 1\/20*w**5. Factor c(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x - 5*j - 17, -5*j = -x + 27. Suppose -c + 3*m + 56 = 0, 7*c = 3*c + x*m + 264. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6561 + -6489. Which is the closest to 0? (a) 2\/13 (b) 1\/8 (c) 9 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3558087, -3557967, -3557845, -3557721, -3557595?\nAnswer: -3557467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 318.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z - 12. Solve 0 = -z*m + 5 - 21 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**2 - 9*r**2 - 6*r**2.\nAnswer: -53*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2084 - -2083.5. What is the nearest to 0 in q, -0.14, 5, 2\/7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54520, 218062, 490640, 872260, 1362928, 1962650, 2671432, 3489280?\nAnswer: 4416200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -708 - -721. Solve d*h = 19 - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59789 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1423172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43970 - 25944. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*z - 82*z - 48*z**3)*(-10 + 1 - 21)*(1 + 0 - 2).\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -301, -300, -299?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/11 - 26*s - 1112\/11 = 0.\nAnswer: -139, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = -2*a. Let i = -51\/28 + 18\/7. Let b = -9 + 4. Sort a, i, b.\nAnswer: b, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 5:47 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5272 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32004 or 10?\nAnswer: -32004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8*n + 14 = 0. Let q = n - -4. Suppose -2*j - 20 = -q*j. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037679644 rounded to seven dps?\nAnswer: 0.0000377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219 - -136. Let c = s - -83. Solve a - 6 + 1 = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/5 - 7478*i**2\/5 - 4662532*i\/5 - 3105032\/5.\nAnswer: -(i + 1246)**2*(3*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*-4*((sqrt(243) - (-1 + sqrt(243))) + 5 - (5 + -1 + sqrt(243) - sqrt(243)))*-3)**2.\nAnswer: 14396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let a = -389.91 - 5.09. Let o = -379 - a. Are s and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 32 = -20. Suppose 2*s - 2 = q*s. Let z(j) = -14*j + 1. What is z(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2079 and 37\/187110.\nAnswer: 187110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4144 and 8652?\nAnswer: 1280496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171622*x**2 - 44935 wrt x?\nAnswer: -343244*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 15*g**2 - 21*g - 4. Let p(j) = j**3 - 7*j**2 + 11*j + 2. Give 2*f(y) + 5*p(y).\nAnswer: -y**3 - 5*y**2 + 13*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + c + 2, 5*c + 0 + 10 = 3*s. Let i = s + 1. Let y = 7 + -5. Calculate the remainder when y is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 43956450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 18957?\nAnswer: 834108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 4 - 11*p**2 + 0*p**3 - p**3 + 7*p. Let y be 9\/((-9)\/(-4) + -3). Let v be m(y). What is the highest common factor of v and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/42*(-7)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2*b - 6. Let f be l(0). Suppose 3*h + 18 = -0*h. Is f bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26241594.\nAnswer: 2, 3, 877, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j - 11. Let y(u) = 8*u + 23. Let g(a) = -9*f(a) - 4*y(a). Let b(p) = -p. Calculate 2*b(k) + g(k).\nAnswer: 2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = v + 9 - 18, -v + 17 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-17550)\/(-1053))\/((-2080)\/(-192))\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539*s + 2*s**3 - 5*s**3 - 547*s + 1086*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/361 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18*h - 7. Let u be t(4). Let i = -127\/2 + u. Let l be 140\/(-105) + 4\/6. Which is the nearest to -1? (a) i (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 386, 774, 1164, 1556, 1950, 2346, 2744?\nAnswer: 3144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 = 25, -3*t + 365 = 4*v. Suppose 0 = -3*f + 8*f - v. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1727531722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 906 + 2.24.\nAnswer: 908.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 494?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 1, e: 2, w: 1, v: 4}. Give prob of picking 1 v, 1 m, and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(5\/2))\/i)\/(i\/((i**(4\/3)\/i)\/i))*i*i*i**(15\/4)*i**(-2\/25) assuming i is positive.\nAnswer: i**(1951\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + a - 49, 78 = -g + 5*g - 2*a. Let r = 87\/4 - g. Is r less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-99 - -2 - -1) + (-7 - -14) + -1. Let d(k) = -83*k**2 - k. Let t be d(1). Let w = t - x. Let o(j) = j**3 - 7*j**2 + 8*j - 8. Calculate o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 - 4*g**2 + 3*g + 3. Let n(s) = -2*s**3 - 5*s**2 + 4*s + 4. Let r be (-259)\/84 - (-5)\/60. What is r*n(p) + 4*k(p)?\nAnswer: -6*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21281500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6952\/55*(-20)\/8. Let l = 321 + i. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9972480 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + x = 6*i - 5, -5*x - 25 = -5*i. Let u(r) = -2*r - 5. What is u(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162268)\/12206)\/(80\/(-170))?\nAnswer: 113\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/16 and 59\/1318552.\nAnswer: 2637104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*p - 24476*k**3 - 2*k**2*p + 7*k**2 + k - 9*p wrt k?\nAnswer: 6*p - 146856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 1 - 44. What is the smallest common multiple of (370\/50 - 8)\/(1\/(-10)) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5403, 10807, 16183, 21519, 26803, 32023, 37167?\nAnswer: 42223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d. Let y(u) = -9*u. Let k(h) = -18*m(h) + 5*y(h). Let f(w) = -17*w. Give f(k(s)).\nAnswer: -153*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 7823.\nAnswer: 7823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140443 (base 8) to base 2.\nAnswer: -1100000100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*2*-3 + sqrt(104) - sqrt(104))\/(sqrt(16)\/sqrt(2)*-1) - 6*(0 + sqrt(468))**2*4.\nAnswer: -11232 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 36440*b + 619191.\nAnswer: (b + 17)*(b + 36423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0. Let l = -157 - -169. Let z be ((-186)\/l)\/((-22)\/(-4)) - -3. What is the closest to 0.1 in z, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - (-2 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315338 + 315338 - 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 40902.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 42*y**3 + 96*y**2 - 5*y - 5. Let w(o) = -41*o**3 - 96*o**2 + 6*o + 6. Let t(s) = -6*l(s) - 5*w(s). What is the third derivative of t(q) wrt q?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3802290 to the nearest integer?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u = 37*u - 6. Does 11 divide 6\/9*u - (-99 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -503*b**3 + 1450*b - 718. Differentiate z(o) with respect to o.\nAnswer: -3018*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (78\/(-585)*195)\/(1*2\/(-1118)) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 + ((-4272)\/72 - -6))*-15?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.3, 0.3, 1115\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a - 5*a + 33*a as f*a + c and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 y when three letters picked without replacement from hwhyhyxhyhvyhvssvs.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p**4\/11 - 982680*p**3\/11 + 1965382*p**2\/11 - 1228368*p\/11 + 22334 = 0. Calculate p.\nAnswer: -122837, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 9196?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - s**2 + s + 6. Let w be v(0). Let p be -1 + -5 - (0\/(-1) + -8). Factor 8*h**3 + 3 + 4 - 3*h**4 - w*h - 4 - p*h**3.\nAnswer: -3*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87597 is divided by 84.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 - -7 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 + -31. Suppose 6*d + 1887 = -11*d. Let t = d - b. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 325251052?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(360))\/(sqrt(32) + sqrt(288) + (sqrt(288)*2 - sqrt(288))).\nAnswer: 18*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-3 - 1*-9). Suppose 3*y - 36 = a*o, -o = 2*y - 2 + 11. Let n be (21\/o - -2)*-3. Are n and 2\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15742?\nAnswer: 2, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r + 4*t + 36, -102 = 5*r + 5*t - 52 - 55 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(2*s**2 - 2*s**2 + s**4) + 2*s**3 - s**4 - 2*s**3 + 0*s**4 - s**4 - 4*s**4 - 22*s**4 + 3*s**4 + 3*s**4.\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -881 - -881. Solve i = 4*n - 3*a + 7*a - 8, -3 = 3*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -l - 78. Let d(p) = p**2 - 17*p - 122. Let n be d(16). Let y = l - n. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5600 + -33037816298.\nAnswer: -33037821898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 4*w + w**3)*(4 + 0 + 4) + (0*w - 5*w + 3*w)*(w**2 - 3 + 3) to n*w**2 + s*w + h + o*w**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429919 = -841*y - 456831 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 30 = -4*d. Let l(x) = -x**2 - 9*x + 13. Let f be l(d). Suppose u = 2*u - f. Put u, -2, 4\/5 in decreasing order.\nAnswer: u, 4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(110\/((-462)\/(-21)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*p - 7 = 4*p, 2*c + p = -11. Let f be (4\/(-12))\/((-1)\/c). Suppose -4*d + 1 = -3. Sort -1, f, d in ascending order.\nAnswer: f, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/1*(56\/(-32) - -2). Solve 8*g - 9*g + 2*w + 1 = m, 0 = -g - 5*w - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + -2 + 3) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 13 = 3*x, 2 = 3*x + 5. Put n, -8, 1, -2 in decreasing order.\nAnswer: n, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(18\/(-8)). Let z = -2.8902 + -0.1098. Let b = 77\/96 + 1\/32. What is the closest to 0.1 in z, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + 8 - (-24)\/1. Let z(u) = -2*u + 49. Let b be z(h). What is g in -7*g**3 + 7*g**b + 4*g**3 - 3*g**2 - g**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*n + 19635 = -443*n - 295*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127473625 and 12868?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42010, 42510, 43338, 44488, 45954, 47730, 49810, 52188?\n\"Answer: -p**3 + 170*p**2 - 3*p + 41844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/(-10)*20\/24). Is (-4 + 2)*5623*c\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) -1 (c) -2 (d) -0.4 (e) 23.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 50, -3 in ascending order.\nAnswer: -4, -3, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1001112 (base 3) to base 7\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 698 - 698 + 352*b**2 + 272*b**2.\nAnswer: 624*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 234 + 266 = -4*s, 3*r - 5*s - 385 = 0. Let k = 61 + r. Suppose -127 = -4*u + k. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d + 181. Let g be r(23). Suppose -g*m = -18*m - 5*y - 86757, 43406 = m + 3*y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 7*s. Let y = 9 - s. Suppose 0*q + 8 = 2*q. Calculate the smallest common multiple of y and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190372 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 1)*(11*z + 0 - 2 - 7*z) as q + s*z and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 108 + 198 + 118 - 2*t as d*t + x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 289*x**2 - 269 wrt x?\nAnswer: 578*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.34 + -0.04. Let y = 0.6 - x. Let l = -11842 + 11838. Which is the nearest to 0? (a) y (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -359452 = -359452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25902 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + o - 4)*(2*o - 3*o - 2*o) - 4*o**2 + 4*o**2 + 2*o**2 + (o**2 - 2*o**2 + 0*o**2)*(-1 + 8 + 7) to g*o + z*o**2 + r and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -5 - 3\/2*u**2 + 0*u + 1\/5*u**5 + 0*u**4 + 0*u**3. What is the second derivative of c(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/7)\/(h**(1\/5)*h*h))\/((h\/(h**(-6)*h))\/(h\/(h*h*h\/(h**4\/h)*h*h)))*h**(5\/2)*(h*h**(-1)*h)\/h*h**0\/(h\/h**6) assuming h is positive.\nAnswer: h**(-59\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49891.\nAnswer: 49891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - 0.8. Let y = -0.05 + -0.35. Let i = y - t. Which is the smallest value? (a) 2\/9 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2 - 17\/(-1). Suppose z = -2*z + 21. Suppose z*v - 3*v = m. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Let d be n - 2\/4*-2. Suppose -5*m + 2*h = -193, -d*m + 0*h + 3*h + 123 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u + 1 - 71 - 146 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/7 - 52*i\/7 - 27984\/7 = 0?\nAnswer: -106, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjzxxxzjjzl. Give prob of picking 1 c and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -133\/12*i**4 + 0*i**2 + 0*i**3 + 0*i**5 + 87*i - 11\/5*i**6 + 2. Find the third derivative of f(h) wrt h.\nAnswer: -1584*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/56 and 18\/189 + 22244\/(-7266) - (-4 + 1).\nAnswer: 9688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h - 5*a, 5*a = h + 3 + 1. Does 29 divide (195\/(-9))\/h*(-2 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110001101011 (base 2) to base 15.\nAnswer: -5be3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5886\/(-72) - (-2)\/(-8). Let d = -82 - o. Is (d - (-4 - -2)) + 4907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-4)\/6. Let c be 8\/12*18\/8. What is the smallest value in t, c, -1\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -1\/15*c**5 + 1\/4*c**4 + 1 + 1\/6*c**2 + 0*c - 1\/3*c**3. Let i(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 96, -3, 0, -43.\nAnswer: -43, -3, 0, 2, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**2 - 2380*p + 9521. Determine n(4).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -16. Let a(f) = -f**2 - 2*f + 6. Let h be a(t). Suppose -h*y = 0, 2*y - 20 = 4*g - 9*g. Solve -g*z + 4 + 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 0. Solve -4*h - 3 - 13 = w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2 - 2)*(3*w**2 - 5*w**2 - 2*w**2) + 4*w**3 + 2*w**3 - 4*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 5, p: 3, b: 2, e: 7, m: 1}. What is prob of sequence bbp?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33002789.24 + -1615513405.76. Let y = v + 1648516231.99999977. Let c = y + -37. Round c to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -386, -667, -1002, -1391, -1834, -2331, -2882?\n\"Answer: -27*y**2 - 200*y - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 8:12 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 609093*a + 133535250.\nAnswer: -3*(a - 219)*(a + 203250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 17*b**2 + 11*b - 6. Let j = -77 - -72. Let i(v) = -15*v**2 - 10*v + 5. Let h(c) = j*s(c) - 6*i(c). Factor h(q).\nAnswer: 5*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 1)*(-509 - 554 + 2*g + 984) as q*g + k and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -85, -121, -143, -145, -121, -65?\n\"Answer: j**3 - 2*j**2 - 45*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8429?\nAnswer: 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtqf when four letters picked without replacement from {q: 2, f: 12, t: 2, v: 4}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -67*h - 46 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*-2 - sqrt(360) - sqrt(360))*-3 + sqrt(360) + sqrt(360))*-5)\/((sqrt(8) + sqrt(288))*5 - sqrt(392)*-3).\nAnswer: -15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) 5\/2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 538*f - 1070*f + 533*f. Let q(w) = 147*w. What is x(q(v))?\nAnswer: 147*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 18. Suppose 3*t - z = -5*n, 3*t + n = t + 4. Suppose 16 = 24*p - 20*p. Solve t*c - c = s, -s = -2*c + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - ((-4 - -8) + -4). Suppose j - 30 = -2*i. Suppose 24*q + 169 = 1417. Calculate the least common multiple of i and q.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 10*i**2 + 9*i + 9. Let s(f) = f**2 + f + 1. Let a be ((3 - 6) + 13)*-1. Let v = a - -28. What is v*s(r) - 2*q(r)?\nAnswer: -2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*x - 2*x. Let z be (5 + 3)\/(-4) - -2. Calculate the common denominator of (-65)\/(-8) + z\/x and -65\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2218 - 2209 + 31*r + 4427.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1 - 6)\/(-1) - 2. Let a be 1003\/85 + y\/10. List the prime factors of 3*a - (6 - 4) - -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (1 - (-1 - -1)). Let k(m) = m**3 - m**2. Let r be k(y). Let t(q) = q**2 - 2*q - 2. Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -1\/2, 1, -0.03 in decreasing order.\nAnswer: 1, 0.2, -0.03, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.5, -645, -0.1, 0.1 in ascending order.\nAnswer: -645, -0.1, 0.1, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -144? (a) 44 (b) 3660 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.72 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 123980.\nAnswer: 1\/61990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*q - 183*q = -11410. What are the prime factors of q?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 47380\/(-60)*-15 + -13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7528)\/(-1040) + -7 - (1 - 24\/30). What is the closest to -2\/5 in 4, l, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*(-68)\/510.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 179 + 1197 = 0. Let d = y + 264. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/60051303 and -41\/6672367?\nAnswer: 60051303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173010111.\nAnswer: 3, 4297, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 143*f**2 - 10*f - 5. Let r(i) = 70*i**2 - 6*i - 3. Let p(v) = -3*l(v) + 5*r(v). Let k(d) = 2*d**2. Give k(p(b)).\nAnswer: 12482*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 50112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 24. Let w be a(8). Suppose -2*v = -j - 1222, 4 = 2*j - w. What is the highest common factor of 68 and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.228077 times -4?\nAnswer: 0.912308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 246 = -246. Solve q = -o + 27 - 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21084 and 216?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 15973 = -3*q + 15981, -11*q + l + 45 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f = -60. Calculate the remainder when (-4)\/12 - 356\/(-6) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1692303540 and 10.93.\nAnswer: -1692303529.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-17)\/a)\/a)\/(a**17*a)*(((((a**(3\/16)\/a)\/a*a*a)\/a*a)\/a*a)\/a)**(29\/3) assuming a is positive.\nAnswer: a**(-2153\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10094280 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/12 + 3*x**3\/2 + 3*x**2. List the prime factors of v(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:29 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455110 is divided by 227536.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgnjzbjjnzz. Give prob of picking 1 j, 1 z, and 1 g.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + -5*(sqrt(14)\/sqrt(2)*4 + (sqrt(1008)\/sqrt(9) - sqrt(7)) + sqrt(7)).\nAnswer: -40*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 55.53, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.95316 + 20.91. Let x = 8.00084 - r. Let p = x - 8. Round p to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + 1 + sqrt(704) + -2 + 1.\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73100 and -1184.\nAnswer: 71916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -58295*g - 116823. What is p(-2)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79689 - 53859. What is z rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-6) + (-1)\/(-3). Suppose 12 = -8*l + 100. Suppose a - x = -l, -7*x = -w*x. Which is smaller: a or -10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggxx when four letters picked without replacement from {o: 13, x: 5, g: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7030 - -7029.7. Sort 0.2, g, 2\/35, -2.\nAnswer: -2, g, 2\/35, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/6*(-12)\/27. Let k be l*(-3)\/(-18)*3. Let y(g) = -6*g**2 + 1. Give y(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2*(-10 + 7). Suppose 0 = -z + 5 - a. Suppose -z*k - 2*j = -110, 5*k + 3*j = 209 + 62. What is the remainder when k is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(121)*2 + -1*(3*sqrt(121) - sqrt(121)))\/((1*sqrt(6336))\/(sqrt(4) - (sqrt(128) + sqrt(32) - sqrt(32))\/sqrt(8))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7160 is divided by 1192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 368 = 5*y - 417, -669 = -4*y + 5*p. Let h = y - -193. Does 34 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.013 * -0.019.\nAnswer: -0.000247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 55425357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 56. Let y = 96 + -78. Calculate the remainder when y is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8508748 to the nearest integer?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2557*f**2 + f - 1101.\nAnswer: 5114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/19 + 18824*l**2\/19 - 1555832*l\/19 + 11240896\/19 = 0. What is l?\nAnswer: -9494, 8, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11162 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 366*t. Let a(o) = -3*o**2. Determine a(h(v)).\nAnswer: -401868*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**41*x\/x**(-5)*x**(-3\/7)\/x assuming x is positive.\nAnswer: x**(-542\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671400 is divided by 669364.\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 1\/3, -6 in ascending order.\nAnswer: -6, 1\/3, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.1804821 seconds?\nAnswer: 0.003008035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 183*t + 171. Give x(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2132052*m**3*p**2 + 926*m**3*p*v - 2390*m**2*p**2*v - 2*m**2*p**2 wrt v?\nAnswer: 926*m**3*p - 2390*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.1 + 13.79. Let m = -0.91 - f. Let g = -16.9 + m. Round g to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(147) + 0 + 2*sqrt(147) + sqrt(147)))**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.46185 take away 4?\nAnswer: 165.46185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p, 3*w - 2*p = 18. Let m be 4\/w - 4\/(-3). Let s(k) = k**3 - k**2 + k. Give s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u + 42 = 6. What is the units digit of (u + 0\/1)*(-2 - 756)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1119.\nAnswer: -3357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/(4\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5654832094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 17*t**2 + 3 + 2*t - 7\/3*t**3. Differentiate p(i) wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*(-9)\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/3, -1\/9, -2 in descending order.\nAnswer: 2\/11, -1\/9, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 16. Let q be g(0). Let u = 16 + 24. Calculate the greatest common factor of u and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5871 - -16.6451. Let j = 15.8 - y. Let h = j - 4.262. Round h to 1 decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 468522 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3208237 grams?\nAnswer: 320823700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 36 (c) -37 (d) 10692 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 - ((-35 - -32) + -15 + 26).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63938 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.49 - -18.507334. What is d rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 57 + 202 = 0. Suppose -f*q + 26*q + 42 = 0. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**4\/6 - 2*p**3 + p**2\/2 - 3. Let l(x) be the second derivative of b(x). Is 10 a factor of l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*((5*(sqrt(567) + sqrt(567) + 2) + sqrt(567) - ((sqrt(567) + 1*sqrt(567))*6 + sqrt(567))) + (5 + sqrt(567) + sqrt(567) + -4)*-3))**2.\nAnswer: -39744*sqrt(7) + 1308484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**3 - 29*n**2 - 33*n + 61. Give r(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = 4*o. What are the prime factors of o\/(-68)*4 - (-23810)\/85?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14886105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -476*r**4 - 373*r + 256570 wrt r?\nAnswer: -1904*r**3 - 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 4*l**2 + 2*l + 4. Let x be p(-4). Let f = 2 - 5. Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, 26, 73, 142, 233, 346, 481?\n\"Answer: 11*g**2 - 8*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - ((1 - 1) + -1 + (3 - -7)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-4)\/64) - -4. Let j = 17 + m. Let n = 170 - 329\/2. Is j at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10393788 to 5 decimal places.\nAnswer: -0.10394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -1. Let t be ((g + 3)\/2)\/1. Solve -k + 1 + 1 = t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.3, 25, 1.7, -25.9?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 4*h + 4. Let s(y) = y**3 - 6*y**2 + 6*y + 1. Let r be s(5). Let g be b(r). Is (-131)\/(-7) - g\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-2\/15))\/u)\/(u*u*(u*u**(2\/3))\/u))\/(u**(1\/3))**(2\/65))**(-46) assuming u is positive.\nAnswer: u**(22816\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 5:56 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*s**3 + 363*s**2 + 240*s + 36.\nAnswer: 3*(s + 6)*(2*s + 1)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let t be (-1 - 1 - 0)\/(-5). Put t, -2\/13, c in ascending order.\nAnswer: c, -2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udzzdnznqdp. What is prob of sequence uzpz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -109, -2, -1, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 126, 498, 1106, 1944, 3006, 4286, 5778?\n\"Answer: -j**3 + 124*j**2 + 7*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zltdtdtlldltlld. What is prob of picking 2 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*i - 2*c, -c = 4*i - 36 - 58. Let v be (i\/(-10))\/(2\/(-10)). Calculate the highest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314269 (base 15) in base 12?\nAnswer: -94b953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-27)\/8)*(-1 - (-39)\/36)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6056 and 28?\nAnswer: 42392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 11) to base 8\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5663 (base 7) to base 4.\nAnswer: -200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -35.6. Let j = -108.6 - w. Let o = j - -110.0000057. Round o to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uku when three letters picked without replacement from kkkkkuuk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t - 720. What is the remainder when 148 is divided by l(47)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 20 + 30. Let c = 2 + p. Calculate the highest common divisor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45\/(-6) - -6)*-2. Let y(z) = 268*z**2 + 7*z - 31. Is y(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68881.5236 + 68370.5. Let o = u - -511. What is o rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 + -50 + 31 - -84.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230*z**2 - 714*z**3 - 432*z**2 - 135 + 197*z**2 wrt z?\nAnswer: -4284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-595)\/175 + ((-24)\/(-10) - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3665667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 22365624?\nAnswer: 156559368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {x: 2, b: 1, p: 3, y: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 - 29*y**3 + 15*y**3 + 5 with respect to y.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7654, 7605, 7556?\n\"Answer: -49*x + 7703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, 4, 2\/7 in decreasing order.\nAnswer: 305, 4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 259 - i**3 - 926 - 2*i**4 - 10*i + 9*i in the form j*i**2 + x + m*i + u*i**4 + s*i**3 and give x.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**3 + 1. Let y(u) be the second derivative of 1\/6*u**4 + 0*u**3 + 0*u**2 + 2*u + 0. What is o(y(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.4, 9\/4, 4, -6, -1759?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9810444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y**(-6)*y*y)\/((y*(((y\/y**(-4))\/y)\/y)\/y)\/(y*y**(3\/2))) assuming y is positive.\nAnswer: y**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(16\/12)\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-9)\/540*-6?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77302, 76830, 76044, 74944?\nAnswer: 73530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411155763, -411155762, -411155759, -411155754, -411155747, -411155738, -411155727?\nAnswer: -411155714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166 or 0.40149?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 144, 161, 196, 255?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:28 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-28)*y**(-4\/7) assuming y is positive.\nAnswer: y**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175\/(-90)*81\/189.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 210989425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 3. Let a be t(-6). Differentiate 0*f + a + 0*f - 4*f**3 - 5 wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*f + 14603629 + 25069533 = -68722338. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -35*p + 17. Let v(q) = 12*q - 870. Let c(l) = 36. Let r(t) = 24*c(t) + v(t). Determine 6*n(y) + 17*r(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-486)*((-8)\/2)\/(-2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7256, -6118, -4238, -1610, 1772, 5914, 10822, 16502?\nAnswer: 22960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 0 - 3)*(3 + 2 - 2) + (-2 - 3 + 3)*(1 - 1 + 4))*(0*d**2 - 16*d**2 + 68*d**2) to b*d**2 + u + v*d and give b.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -13*z + 10. Let l(n) be the second derivative of n**4\/12 - 11*n. Determine l(d(g)).\nAnswer: 169*g**2 - 260*g + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727553540?\nAnswer: 2, 5, 7, 269, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from uyyhyududhyyyuuyuuuh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmgmmmyngggngymynm. What is prob of picking 1 g, 1 y, and 1 n?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35709, -71448, -107193, -142944, -178701?\n\"Answer: -3*w**2 - 35730*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62765178 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984331.\nAnswer: 23, 42797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 24445.\nAnswer: -195560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-336)*-8)\/((-1)\/4) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -411 - 1208012?\nAnswer: -1208423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5806 and 0.4.\nAnswer: 0.9806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 3, -15, -49, -105, -189?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 22*b**2 + 21*b + 9. What is the remainder when i(-23) is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2158?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 2, o: 1, n: 4, v: 3, e: 4}. Give prob of picking 1 m and 1 n.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, -1, 5, 3, 1092, 1, 0.\nAnswer: -1, 0, 1, 3, 5, 255, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1409, 469, -1097, -3289, -6107?\nAnswer: -9551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1017135 (base 8) to base 7.\nAnswer: -2202634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q + 317. Let g = 31798 - 31767. What is l(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979067 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204) - 1*sqrt(204) - sqrt(204)) - sqrt(204) - -4*2*sqrt(204))\/(-4*sqrt(588)*1) + 1.\nAnswer: -2*sqrt(17)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 2*z**4 - z**4 + (2*z**4 + 2*z - 2*z)*(-1 + 0 - 3) + (z**2 + 4*z - 4*z)*(3*z - 3*z - 4*z**2) + 6*z**4 - 11*z**2 + 11*z**2.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 13710591*p = 0 for p.\nAnswer: -4570197, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-25)*-1)\/(18\/5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 1 (b) 59 (c) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 941 = 2*v, 2*w - 1 - 5 = 0. Calculate the common denominator of (v\/(-120) - 4)*-58 - 3 and -89\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 4*q**2 + 2. Let p be u(4). Suppose -o = 5*a + 3*o - 12, o = p*a - 10. Suppose -y = -a*y + 45. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31744 or -31707?\nAnswer: -31707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(1935\/3))\/(2848\/3560*(-2)\/16)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17151818.\nAnswer: 2, 29, 113, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c + 4. Is m(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1288 and 61\/14704.\nAnswer: 2367344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w - 13. Suppose -2*l = l + 27. Let c be d(l). List the prime factors of 5 + -1 + (c - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peccpttettaepatett. What is prob of picking 1 p and 1 c?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3435 (base 16) to base 7\nAnswer: -53652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3882116?\nAnswer: 2, 7, 138647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -14. Let p(f) = -70*f**2 - 17*f + 17. Let j(n) = -23*n**2 - 6*n + 6. Let l(h) = s*p(h) + 17*j(h). Let q(b) = -b**2. Give q(l(t)).\nAnswer: -841*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, j: 2}. What is prob of sequence jaj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 53. Let r(u) = 2*u + 18. Let j be r(-19). Let a(k) = -4*k - 4. What is the remainder when s(j) is divided by a(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9524011 and 994?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30*(4*(-5)\/30 - 20\/(-24)). Solve -j*c + 4*l + 26 = -10*c, 5*l = -5*c - 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(68) + sqrt(68) - (sqrt(68) + 4*(sqrt(68) + -3*sqrt(68))))\/((sqrt(2156)*2 - sqrt(44))\/(sqrt(176) + (sqrt(176) - sqrt(176)*-1))).\nAnswer: 72*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from tvwooijtiojtvvo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 411580 - 519*d - 411580 to n*d + y and give n.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34581\/7 - 4910. Let n = t - 30. What is the third biggest value in n, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00109204599 + -124\nAnswer: -123.99890795401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6042 and 599589.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3555228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 5. Let n(o) = -3*o + 2. Let w(z) = 5*n(z) + 2*p(z). Suppose 15 = 3*k + 9. Let c(l) = 3*l**2 - 4*l**k - l**2. Give c(w(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - q - 952 + 949 - 3*q**2 + 4*q. What is j(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 42599.878.\nAnswer: 42597.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-12)*28\/(-3). Let n be (-5)\/(q\/(-4) - 4). Let s be (-10)\/(-42)*n\/(-25). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 12*o + 15. What is m(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 9}. What is prob of sequence ppg?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 14*l + 10 + 12*l.\nAnswer: -2*l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-522))\/((-42)\/72).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3*z**3 + 25208*c**3*z - 10*z**3 + 192 wrt c?\nAnswer: -3*c**2*z**3 + 75624*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*b - 10 = 0, -878*l + 9*b - 80 = -883*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/5 - (-53)\/(-5). Let k be 1\/(-5) + (-502)\/j. Suppose 4*m = k + 30. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1448)\/(-24) - 63)*((-1)\/7)\/((-5)\/15)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 85*t**3 + 1194*t**2 - 396*t + 1. Differentiate j(b) wrt b.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178.62 + -178.0512. Round r to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.04506777 to 3 dps.\nAnswer: -30.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -19 - (0 + 1 + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 26.3466?\nAnswer: -25.9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -19 - 6) + -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 37. Let r be w(-16). Suppose -r = -2*p + 3. Solve 4*z + p*a - 8 = -36, 5*a + 20 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29851513 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**(6\/11)*n)\/(n\/(n**(-1)*n))**(2\/33) assuming n is positive.\nAnswer: n**(-83\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/15)*a*a*a**(-8)*a*a**(4\/5)\/((a\/a**6)\/a))**(-1\/40) assuming a is positive.\nAnswer: a**(-13\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p + 145. Let n be m(13). Let x(b) = -6*b + 30. Let i be x(5). Let 0*o - 2\/3*o**3 + 0*o**n + i = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 7. Let r(m) be the first derivative of 1\/2*m**2 - 28 + 4*m. Let b = 0 - -3. What is b*s(c) + 5*r(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -45*-12*(-6)\/(-27). Let r = 117 + g. Suppose -r + 990 = 3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:24 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + 5*b**2 + 4*b - 6. Let h(n) = -4*n**3 + 11*n**2 + 7*n - 13. What is -6*h(d) + 13*l(d)?\nAnswer: -2*d**3 - d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2699 - 2730. Sort 0, m, 14 in decreasing order.\nAnswer: 14, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = j + 100, 0 = -7*j - 4*h + 149 - 204 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + (0 - 0) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, d: 10}. What is prob of sequence fdff?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 16*j**2 + 13*j. Calculate w(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + 252\/(-35)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16953, 33901, 50849, 67797, 84745, 101693?\nAnswer: 118641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/120*5)\/((-2)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/5 + 43610762*c\/5 = 0.\nAnswer: 0, 21805381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/4 + 10*x**3\/3 - 4*x**2 + 9*x - 34. Let w be d(-10). Let i = -85 + w. Put i, -2, -4, 0 in descending order.\nAnswer: i, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10449)\/972)\/(3\/40) + (-240)\/(-72)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/3)\/v**(1\/10))**(-7) assuming v is positive.\nAnswer: v**(-259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7479 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y + 11. Let c(q) = 7*q + 7. Let f(p) = 7*c(p) - 5*i(p). Let z = -39 + 80. Let l = 35 - z. What is f(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*s - 1770, -7*s + 2954 + 3191 = -4*k. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2126 or -2136?\nAnswer: -2126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + (6*(-1 + sqrt(2)) - sqrt(10)\/sqrt(5)*4) + (-2*sqrt(2662) + sqrt(2662))\/(sqrt(55)\/(sqrt(5)*-2)))**2.\nAnswer: -480*sqrt(2) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 8416?\nAnswer: -8411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-100)\/(-24) + -4). Suppose 2*s = -j*o + 478, -3*o - 3*s = -5*o + 310. Let n = -88 + o. What is the remainder when n is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 520*u**3 + 6*u**2 - 3*u - 351. Let k(g) = g**3 + 2*g**2 - g + 1. Let t(y) = -3*k(y) + w(y). Differentiate t(a) wrt a.\nAnswer: 1551*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6*i - 3*i + 1 = 0, 2*p + 2 = i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**5\/40 - 5*p**4\/24 - 5*p**3\/3 + 5. Let y(g) be the third derivative of n(g). Let z = 530 + -526. What is y(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2885 by 5.\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*y - 652*y + 42 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -16. Suppose -2*s = -3*r + 54, -4*r - b*s = -53 - 19. Find the common denominator of (2\/(-32))\/(3\/r) and 46\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -0.5, 5\/4, -0.245, 4628?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 44460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 q when four letters picked without replacement from tqyqqtyqqtyt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/80)\/((-9)\/30)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d = 80*d + 48. Let v be (20\/(-8))\/(1\/10). Which is bigger: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**9\/168 + 149*s**6\/60 - s**5\/20 + 11*s**4\/8 - 247*s**2 + 4. Find the third derivative of t(r) wrt r.\nAnswer: 360*r**3 + 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/21))\/(h*h\/((h**(2\/25)\/h)\/h))*(h\/(h**10*h*h))**(-25) assuming h is positive.\nAnswer: h**(142817\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - (-99 - -132)) + -37.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 644002 - 2\/(-1)*1\/(-1). Suppose -15 = -4*v + 5. Suppose -t + n = -v*t. What is t rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 9. Let j be n(-4). What is the third derivative of -2*f**2 - 50*f**3 + 50*f**3 - f**2 - 6*f**j wrt f?\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33432351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from tjjtwwjjlht.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 12*t + 14. Let d be r(-11). Let i be -3*(-12)\/10 - d. Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48133\/65460833 + -2\/45239. Let k = -146149\/2894 + l. Calculate the common denominator of k and 25\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 q when three letters picked without replacement from {s: 1, f: 1, d: 5, u: 1, i: 3, q: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -39*y**3 - 7*y**2 + 19*y - 10. Determine q(3).\nAnswer: -1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - z + 24, 4 = -4*j + 8*j + 5*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 29*v**2 + 12*v + 49. Determine t(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100226112.\nAnswer: 2, 3, 7, 74573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 106 + 2*4\/(-8). Let r = t - 13. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 516, -2 in decreasing order.\nAnswer: 516, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**5)\/i*i\/(i\/(i*i**(-2)))*(i**(-2\/9)\/i)\/(i*i*i**(-1)*i))**(-4\/3) assuming i is positive.\nAnswer: i**(-100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667 (base 8) in base 13?\nAnswer: -582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 28. Let t(a) = -22*a - 216. Let i be t(-10). Put i, -4, u in ascending order.\nAnswer: u, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(102)*1 - (sqrt(102) + (sqrt(102) - -6*-3*sqrt(102)) + sqrt(102)))\/(6*(-3*sqrt(30))\/sqrt(5)*3))**2.\nAnswer: 4913\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -34*v - 3. Let s(w) = 79*w + 7. Let u(j) = -7*b(j) - 3*s(j). Let i(y) be the second derivative of 29*y**4\/12 + y**3\/6 - y. Calculate i(u(k)).\nAnswer: 29*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 30845200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 0 + 0)*(2*k + 4*k - 5*k) + 4*k - 4*k - 5*k**2 to g*k**2 + c*k + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-16*3\/(-216)). What is the greatest common factor of h and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-47505)\/(-350) - (-9)\/(-30)) + (-16)\/(-28). Solve 9*i + 8*i - b = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124571 or 124375?\nAnswer: 124571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -314560*n**2 + 345780*n wrt n?\nAnswer: -629120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Suppose -2*a - y*a + 462 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((13 - 6) + (-4 - -13) - 7)) + 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1679, -1735, -1789, -1841, -1891, -1939?\n\"Answer: j**2 - 59*j - 1621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - c**3 - 8*c**2 - 15*c + 5*c - 6*c as n*c + g + l*c**2 + x*c**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17844817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1\/10 (c) -2\/7 (d) 5 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -778*i + 423*i - 3 + 1 + 2 as o*i + j and give o.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*x = -80, x + 1 - 5 = 0. Calculate the remainder when 447 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045814 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110220202021 (base 3) in base 2?\nAnswer: 111110000100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -13.2?\nAnswer: 158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = -5*k + 10*k. Suppose 9*d = 4*d + i + 38, k = 5*d - 5*i - 50. Is 9 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10025*d**2 - 5022*d**2 - 5004*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5 - 4 - 1 + 32*k.\nAnswer: 32*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c*c\/(((c*c*c**3)\/c)\/c))*c*c)*c\/(c*c*c**(1\/5)))\/(c\/c**(2\/5)*c)**20)**(2\/85) assuming c is positive.\nAnswer: c**(-362\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - z = -2978, 6*w + 5*z - 4960 = w. Let g = -10 + w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + 4*h + 1. Let s be t(-3). Suppose 5*d + s*d = 5*d. Let u = -7 + 11. Solve -u*y + y = d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*z - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**4\/24 + 5*l**3\/6 - 5*l**2. Let k be t(2). Let u(r) = -28 + 28 + k*r. Let i(h) = h**2. Give i(u(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 5*r**4\/4 + r**3\/3 + r**2\/2 + 1. Let a be (-17)\/11 - (328\/(-440) + (-2)\/(-10)). Determine w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27911739 and 113033?\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (-5*(sqrt(304) + -1)*3 + 3 + (1 + sqrt(304))*3)**2 + 2).\nAnswer: -12096*sqrt(19) + 265314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30641 is divided by 30522.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2 - 23, 4*w - 576 = 4*r. Calculate the smallest common multiple of 11 and w.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*3\/(-120)*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 9) + 6 - ((-16 - -5) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2989053709464 + -0.3?\nAnswer: 2989053709463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, -3, 4\/7, 1 in descending order.\nAnswer: 1, 4\/7, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47405\/11 - -39822103\/9240. What is the common denominator of k and -127\/378?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305832151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2607, -5306, -8005, -10704, -13403?\n\"Answer: -2699*b + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**2 - 36880*a - 73744 = 0.\nAnswer: -9218, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*x - 29. Factor 5 + 17*f**5 + 10*f**3 - 12*f**5 + 0 + 0 - 15*f**4 + x*f**2 - 15*f.\nAnswer: 5*(f - 1)**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t = -72*t + 92*t + 14*t + 364 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8941499.379 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6795 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -139 and 620?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-16\/3)*(d**0)**3 assuming d is positive.\nAnswer: d**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.6.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 103637274.\nAnswer: 1\/51818637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -339 in 1, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 11. Let w(p) = -16*p. Let m(i) = 5*i. What is b*w(c) - 10*m(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 557498 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)*(-5 + 4). Suppose m = 2*u + 2*u. Suppose -2*x + g = -9 + 1, u = -g + 2. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965834293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 133 - 79 = -2*l + 61, 3*l + 3 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*p - 182*p = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*n**2 + 42*n**2 + 33*n**2 + (-6 + 1 - 2)*(n - 3*n**2 - n) in the form a*n + w + u*n**2 and give u.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*j**2*z**2 - 224*j**2*z - 3*z**2 + 2*z wrt z.\nAnswer: -100*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/30 + 17*o**4\/24 - 5*o**3\/6 + 12*o**2. What is the tens digit of p(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9180917 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5 - 480*w**4 + 38400*w**3 - 1024000*w**2 = 0. What is w?\nAnswer: 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(69 + -429) - 21054\/(-180)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 - u**3\/3 + 1125*u**2\/2 + 115*u. List the prime factors of l(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 51. Let f = n - 14. Sort 0.4, f, -4, -0.3.\nAnswer: -4, -0.3, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -67. Let u be (1 + (1 - v))*-1. What is the third smallest value in -1, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + 0.7. Let y = 5.7 + -5.9. What is the nearest to i in -3, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1001*u**2. Let s(v) = 459773*v. Determine h(s(r)).\nAnswer: 211602602740529*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (sqrt(475) + 0 + sqrt(475))**2)*-1 - -2*(sqrt(475) + 2)**2) + 2.\nAnswer: -940 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42899 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-8) + -1 + 1. Let m = 6315.9 - 6316. What is the third biggest value in 1, l, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62356263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 9 - -102*7\/((-84)\/(-30))?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:33 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14523 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555241001 divided by -6037.\nAnswer: -91973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 + 0 + 0. Put 0, u, -4 in increasing order.\nAnswer: -4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/475 and -103\/2312832?\nAnswer: 57820800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -57*f**3 + 3*f**2 + f. Let r be s(-1). Suppose 0*x + 37 = x + 3*m, 2*x + 3*m = r. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52561*w**3 + 105111*w**3 - 52551*w**3 + 3599*w**2 to the form d*w**2 + k*w + g + x*w**3 and give d.\nAnswer: 3599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*1 + sqrt(396) + sqrt(396) + 1)*-4)**2.\nAnswer: 576*sqrt(11) + 57040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n - 3*j + 7, -1 = 3*n + j. Let f be (-280)\/(-49) + n\/(-7). Solve 7*d - f*d - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*(-4)\/(-120))\/((-1)\/(-5)*-6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:23 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 + 2)*(0 - 2 + 0) + 1 + 2 + 0)*(2*h**4 + 0*h**4 - h**4) as w*h + p + d*h**2 + n*h**3 + l*h**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051457388309 less than -1?\nAnswer: -1.0051457388309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 + 20\/(-18). Let h = -66430 - -66426. Which is the third biggest value? (a) 0.3 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -13. Let u = -912 + 915. What is the nearest to 2 in -4, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 278*f**2 - 5280*f - 42. What is v(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, 33, 31, 29?\n\"Answer: -2*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206776, 206769, 206758, 206743?\nAnswer: 206724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 158382?\nAnswer: 158382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15504 and 48.\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 146, 118, 90, 68, 58, 66, 98?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 796 + -783. Which is the closest to 0.1? (a) -0.3 (b) 1 (c) 0.8 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, x: 2, m: 1, s: 2}. Give prob of sequence km.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = -0*d. Suppose -2*i = -d*p + 7*p - 532, 0 = -p - 2. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*6\/(-4). Let c be 24 + ((-3)\/(-1) - -1). Let a = c - 57\/2. Is h bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 823705656 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*9.653\nAnswer: 19.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 34*y**2 - 10*y + 26. What is the thousands digit of n(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2291.686 centuries to millennia.\nAnswer: 229.1686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**3 - 3*w**3 + 6*w**3)*(-1 - 1 + 3) + (0 - w**2 + 0)*(-5*w + 5*w - 6*w) to the form z + n*w + v*w**3 + u*w**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -8a88300a?\nAnswer: -8a883005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:06 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*b - 256*b + 7353 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0236 less than 1005265?\nAnswer: 1005265.0236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104451302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1770)*(-40857)\/(-7). Let y be ((-6)\/531)\/(7\/(-3)). Let m = y - g. What is the common denominator of 14\/11 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2 + 3*k - 4. Let g = 2429 - 1206. Let p(s) = -3 + 2 - 1229*s**2 - 2*s + 4 + g*s**2. What is 3*d(z) + 4*p(z)?\nAnswer: -6*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4879 = 10*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66308 divided by 548?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*y = 11, -5*m - 14 = -0*m - y. Let s be 1\/(-4)*m\/(-6). Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5 - 4. Let y = 0 - n. Let x = y - -0.4999999. What is x rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 33*t + 37 - 143 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 10528.1228?\nAnswer: 10531.1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9099 and 8397?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -112007 divided by 238?\nAnswer: -16001\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 + 0.94. Let x = -1.09962 + c. What is x rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1674863 to 4 dps.\nAnswer: 0.1675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 21 = -3*z + 5*b, -5*z - 5*b = 5. Suppose z*m + 5*u = -m + 31, -2*u = -5*m. Let l(d) = 0*d - m*d + 3*d. Let g(j) = -2*j. Give l(g(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 477.7058 minutes?\nAnswer: 28662.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 2:34 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/(-42)*4 - -10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -28 + 73. Solve 5*u + h + 2*h = -f, -5*u - 17 = -h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-5) - 6)\/(1\/(-125)). Is 770\/(-1)*n\/125 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 2}. What is prob of sequence iu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -1270, -5874, -15786, -33004, -59526, -97350?\nAnswer: -148474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1014 + -15?\nAnswer: aaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31020*z - 30940 = -31037*z. Calculate the remainder when z is divided by 129.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85215 and 33345?\nAnswer: 766935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 11, -0.4, -2897, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464384877 to the power of 1\/3, to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/33 and 1573\/59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27300 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 529, 1288, 2387, 3832?\nAnswer: 5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 58. Let k(z) = 10*z**2 - 4*z**2 - 4*z**2 + z**b. Let r(w) = -19*w. Give r(k(i)).\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3 + -3 - 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 - 7*x + 7. Let q(w) = 4*w**2 + 6*w - 7. Let j(f) = -6*q(f) - 5*y(f). Suppose 2*m - 6 = m. Is j(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 535921 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.2, -0.03, -1\/8 in descending order.\nAnswer: 14, -0.03, -1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/5376*-4*-4?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*g**2 + 0*g + g + 6*g**2 + g**2 in the form b*g**2 + l*g + s and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 + -199.3. Let l = u - -16.8. What is the closest to 1 in -0.4, -3, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = q, -5*q - 5*v = -3*q + 37. Let h be q\/27 + 6844\/18. What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69.0348 + -69. Let o = i - 0.0679. What is o rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 - 330709335*t - 330709340 = 0.\nAnswer: -1, 66141868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22197341?\nAnswer: 79, 280979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Suppose -g + 3 = 0, 17*u - 14*u - 51 = -4*g. Let x(c) = -6 - u*c + 6*c + 6. Calculate k(x(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 10*p - 19. Give k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 - -0.27. Let k be ((-3)\/(-2) + -1)\/(165\/(-66)). Sort k, -0.5, o.\nAnswer: -0.5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61 and -0.6533?\nAnswer: 60.3467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*b + 2023*b + 2836*b + 373*b.\nAnswer: 5478*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327*i**5 - 41491*i**4 - 126284810*i**2 wrt i?\nAnswer: 19620*i**2 - 995784*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1816059 and 2604?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a year in months?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:32 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/11 + 0. Let u = 23 + -10. Suppose -14*i + u*i = 0. Is i at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -5269505615.476.\nAnswer: -5269505615.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*s**3 - 23 + 119*s**3 - 22 + 45.\nAnswer: 47*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -8*v**3\/3 + 13*v - 4. Let c(s) = 3*s**2 - 4. Let w(n) = -7*c(n) - 2*l(n). What is the derivative of w(b) wrt b?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3778 is divided by 43\/((-13545)\/(-3750)) - 6\/(-63)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(4*((-49)\/(-14))\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21111022000020 (base 3) in base 12?\nAnswer: -1400350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2\/3 (c) -4 (d) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/(f**7\/f*f))\/(f\/(f**(-1)*f))**25 assuming f is positive.\nAnswer: f**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 12*l**2 - 10*l - 43. Let v be j(-12). Suppose -v*i = -73*i - 20. Solve 12 = -k - i*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:03 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 3847230?\nAnswer: 7694460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {u: 6, m: 1, q: 5, k: 1, n: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -1587773?\nAnswer: -60\/1587773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258535, 258518, 258487, 258442, 258383, 258310?\nAnswer: 258223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -74, -264, -634, -1244, -2154, -3424, -5114?\n\"Answer: -10*g**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 h when four letters picked without replacement from {w: 4, h: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2. Let s(y) = -16*y**2 - 1058*y + 207. What is s(k(n))?\nAnswer: -256*n**4 - 4232*n**2 + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 2\/13 (c) -2 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*j + 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 730377 and 508.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z - 12. Let i be q(-9). Suppose -8 = -3*f - b, -6*b + 2*b + i = -f. Let w = -577\/4 + 145. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036513 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3600*j**3 + j**2 + 17*j + 74?\nAnswer: 21600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/30 - 3*j**4\/8 + 7*j**2. What is the second derivative of x(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.472 + -22.912. Let v = -20.6977 + -0.0023. Let z = s - v. What is z rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -614, -2239, -5446, -10763, -18718, -29839, -44654?\nAnswer: -63691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/13 + 1736108*l**2\/13 - 1736106*l\/13.\nAnswer: -2*l*(l - 868053)*(l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-8*8\/(-320)*10\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 142*a - 145*a. Solve -b - 7 = -j + 3*j, -a = 2*b - j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298591\/183 - 5711\/122. Let f = 1382 + 211. Let m = f - j. What is the common denominator of m and -21\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -967.79102121 - 10\nAnswer: -977.79102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 4 - 2*g - 51 + 18 in the form f*g + w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111124 (base 7) in base 12?\nAnswer: -6752b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.5 + 13.5. Let w = -66.0882 - -1.3882. Let r = w + i. Which is the third smallest value? (a) r (b) -1\/7 (c) 7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.1737 and -76.\nAnswer: -697.2012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 50580?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543343 is divided by 1071?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19064933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313578191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 111*c - 9577. Calculate o(57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2753*r**2 + 5*r**3 - 2584*r**2 + 5337*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -0.3 (c) 0 (d) -2 (e) 2734 (f) 101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1918*o - 613 + 1235 - 621 as n + y*o and give y.\nAnswer: 1918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 306, 410, 604, 918, 1382?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/93 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*j - 7*j - 12, -8 = 5*i + j. Let t = -5 + 6. Let a(w) = w + 3*w - t + 0*w. What is a(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684446970 to the power of 1\/2, to the nearest integer?\nAnswer: 51812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 450354?\nAnswer: 450350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11606.1749 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 10, 4*l = 4*q + 628. Suppose -l = -3*g - 6. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6528\/4224*(-22)\/(-4) + -7.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 + 48 + 8*a + 56 in the form v*a + o and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:18 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -5, -1 in descending order.\nAnswer: 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103121287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 4410204.\nAnswer: 22051020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602648294?\nAnswer: 2, 301324147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 826*p - 620*p - 2720*p - 3680*p.\nAnswer: -6194*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9013\/3222 - -7\/358. What is the common denominator of 1\/6 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*o - 0*o - 88, -3*o + b = -61. Let c = -0.8 + -0.2. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -102115?\nAnswer: -1020d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -1, -46, -6\/19, -99, -2\/7?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*w - 7*w + 13 = 0, 5*d + 5 = 5*w. Factor 0 + 1\/4*f**5 + 0*f**2 + 0*f - f**4 + f**d.\nAnswer: f**3*(f - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68338607 or -68338608?\nAnswer: -68338608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrglvlvlgmlmllli. Give prob of picking 1 l, 2 v, and 1 i.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*o - 5*o. Let n(x) = -x**3 - 2*x**2 + 3. Suppose -20 = -4*i - 5*u, 10 - 2 = 2*u. Let p be n(i). Solve -2*f + 7*s = 2*s + 28, p*f = -4*s + o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + i + 2 + 5*i)*(-435*i**2 + 5*i**3 - 3 + 435*i**2).\nAnswer: 5*i**4 + 10*i**3 - 3*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c - 12645?\nAnswer: -12674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*w - 5, 0 = j + 4*w + 3 - 7. Are j and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -19*h**2 - 6*h + 4. Let o be k(2). Let r be 21\/o - (-1 + (-293)\/4). Calculate the greatest common divisor of r and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -4157d8?\nAnswer: 4157dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (24 + 12 + -22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, -48, -175, -412, -795, -1360, -2143?\n\"Answer: -6*q**3 - q**2 - 8*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 304*v**3 - 332*v**3 - 12.\nAnswer: -636*v**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -189016 (base 15) in base 11?\nAnswer: -746716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000154 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -5*c**8\/168 + c**4\/4 + c**3\/3 - c**2 - 10. What is the second derivative of n(w) wrt w?\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12736647 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 36877\/5, 0.0331, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*89\/267?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1429*n - 769229 + 682060 = 0 for n.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 3*q + 3. Let o be s(-3). Let k(l) = 6*l**3 - l**2 - 4*l - 3. Let c be k(-2). Let i = c + o. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-15) + 26\/30)*5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 84. Suppose -k*j + j = -142. What is the remainder when j is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*w - n, 4*n = 294*w - 289*w + 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4663663 is divided by 1058?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120331331 (base 6) to base 8.\nAnswer: -10513647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267316*a**3 - 11*a**2 + 3224659*a wrt a?\nAnswer: -1603896*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**3\/2 - w**2 - 41*w. Determine b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 11*b - 12 - 10, 43 = 4*b + 5*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -0.14. Suppose -3*d + 11 = 5*b - b, 5*b = -d. Sort d, s, 2, -0.4 in descending order.\nAnswer: d, 2, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5071, 1\/2, 2, 4 in decreasing order.\nAnswer: 4, 2, 1\/2, 2\/5071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 20*y**2 - 386*y + 1389. What is p(31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7327 is divided by 733.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -5*m + 8*m. Let h = m + 194. Calculate the remainder when h is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11608593 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -2 + 75\/5. Calculate the greatest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 - 23*z**3 + 17*z**3 + 2*z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 7. Let b be u(-6). Let p = b - -21. Let n = 14 + p. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6 - 5 - 7 + 0*d + 3*d. Let i(y) = 4 - 4*y + 2*y + 1. Calculate 3*a(j) + 4*i(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23535 + 3?\nAnswer: 23538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*y - 112, -w + 38 = 2*y - 5*w. Let a = 29 - y. Suppose -a*x - 24 = -4*b - 6*x, -3*x = 5*b - 22. Solve -b*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 35050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 42*a**2 - 8*a - 4. What is the hundreds digit of y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16608560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -351.\nAnswer: 20\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -134*p**3 - 35*p**4 - 129*p**3 - 410*p - 1225*p**3 - 1855*p**2 + 8*p**3 = 0. Calculate p.\nAnswer: -41, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1194 and 72?\nAnswer: 14328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 176, 135, 94, 53, 12?\n\"Answer: -41*v + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 9*s**2 - 93*s - 4. Let a be o(-6). Solve a*j - 24 = 6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.64098 - 1.591. Let l = d - 0.05. What is l rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 379 + -372. Solve u*i - 25 = 12*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*w**5 + 2*w**2 - 2*w - 183.\nAnswer: -3140*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190.13 + 190. What is the second biggest value in -1, -3\/5, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201309*t**2 - 100655*t**2 - 100654*t**2 + 12*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 195 = 5*c, 4*c + 13*p - 56 = -212 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4 - s**3 + s**2\/2 - s - 2. Let n be m(2). Let g = 36 - n. Solve -4*p - p = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 89 (c) 0 (d) 1\/5 (e) -5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*n + 490*n - 26276 = -982*n - 2012 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475 is divided by 707.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -125123553 (base 6) in base 9?\nAnswer: -4605356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(((-15)\/(-2))\/(-5)). Let d(n) = n**3 - 9*n**2 + 7*n - 7. Let z be d(7). Let u be 2\/4*(-128)\/z. Is h equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - 23\/4. Let x be (12\/18)\/((-20)\/f). Let y = -1 + -2. Which is the biggest value? (a) x (b) y (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by 1000723?\nAnswer: -70\/1000723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121443, -121423, -121383, -121317, -121219, -121083?\nAnswer: -120903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)\/((-35)\/(-20))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrj when three letters picked without replacement from nmntmmnrrnrnmjq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/7)*r\/(((r\/r**17)\/r)\/r) assuming r is positive.\nAnswer: r**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(4\/17)\/n*n))\/n**(3\/13)*n*n**3*n**(4\/9)*n assuming n is positive.\nAnswer: n**(11891\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 30, 1, 2, -1948 in decreasing order.\nAnswer: 30, 2, 1, 0, -1, -1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 22)\/(12\/162) + 8. Is 0 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1040946, -1040945, -1040944?\nAnswer: -1040943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -28 - 1) + (7 - 12).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244343414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**3 - 20*r**2 - 56*r - 6. Let a be n(-3). What is the greatest common factor of 81 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 11*z - 16*z + 13*z + 1.\nAnswer: 12*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3406 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239879853.\nAnswer: 3, 8884439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 + -0.26778. Round h to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 94, 72, 12, -104, -294?\n\"Answer: -3*a**3 - a**2 + 2*a + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1044 and 4176.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1297\/114 - 612\/19. Let q = 8 - 11. What is the common denominator of y and (56\/q)\/(-2 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087634 at least as big as 1087890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 6773 + 6773.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 28325.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 169. Let b = n + 165. What is the remainder when b is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482683 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9451 + -378063\/40. Suppose -8 = -86*k - 696. What is the common denominator of l and (-676)\/91 - k - 352\/(-21)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 13 = -7*h + 2*h, 0 = h - 3*l + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2788*j**2 + 2*j. Let s be q(-1). What is the second derivative of -24*k**5 + 23*k + 2786 - s wrt k?\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 13 - 3. Let a(p) = 3 + p**2 + n + 0*p - 3*p - 3*p. Suppose -11*h + 6*h = -3*i - 29, -4*i = -h + 16. Calculate a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -1\/2 (c) 6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 452265 + q - 903714 + 451449 - q**3 - q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m**2 - m - 4. Let r(v) = -32*v**2 + 2*v + 6. Calculate 5*r(q) + 8*z(q).\nAnswer: 8*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -51*k**2. Let t(d) = d. Give y(t(i)).\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3764780 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**4\/8 + 5*n**3 - 2241*n**2. What is t(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 2 - (-2 - 0). Let z be ((-2)\/6)\/(l\/(-18)). Solve -z*s = -s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1054*j + 1413*j + 7184290 - 7184290 in the form l*j + h and give l.\nAnswer: 2467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863151*t - 860807*t = 192208 for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j**2 + j - 2. What is a(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 5*w**2 - 5*w - 5. Let y = 39 + -52. Let z = 12 + y. Let b(x) = 3*x**3 - x - 2 + 1 + x**2 - 2*x**3. What is z*l(q) + 5*b(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28064463, 56128923, 84193383, 112257843, 140322303, 168386763?\n\"Answer: 28064460*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 27*a + 215. What is the remainder when 184 is divided by w(-22)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 179.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -153, -143, -133, -123, -113, -103?\n\"Answer: 10*c - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*o = 3, -6 = -4*p - 4*o + 6. Suppose -518 = -p*i - 2*c + 195, -c = -2*i + 473. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 2. Let j(w) = -5*w - 3. Let h(m) = 3*j(m) - 4*u(m). Let s be h(-2). Which is bigger: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-28))\/(-1*(-2)\/3*1330\/532).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36765)\/(-1161)*(-6)\/10*-1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (195\/(-117))\/((-10)\/492). Suppose 0 = d - 5*m - 61, -3*d - d - 3*m = -152. Calculate the highest common divisor of f and d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) -0.4 (d) -2\/3 (e) -0.5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 445, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 - 37 - 150*u)*(3*u**2 + 0*u**2 + 6*u**2 + (2*u + 2 - 2)*(-3*u + 6*u - u)) in the form v + m*u + i*u**2 + p*u**3 and give p.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 99872.\nAnswer: -199744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -4*h, -3*a + a + 5*h + 3 = 0. Let d be 20\/15 + (-4)\/a. Suppose -d*p = -p + 5*g - 16, g = -1. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 times -0.1?\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -1) + (26 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38530*x**4 - 2*x**2 - x - 2089 wrt x?\nAnswer: 462360*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*n - 12, 32 = -4*n + 4822*u - 4826*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11441.\nAnswer: 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 507568 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*h + 3*h + 3*h + 23*h**4 - 2*h**3 - 22*h**4 to the form w*h**3 + r*h**4 + n*h**2 + t + a*h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.7 + 14. Let j = g + 6. Which is the closest to 0? (a) j (b) 2\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3\/2 (c) 0.5 (d) -0.1 (e) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17099? (a) -1 (b) -3 (c) 3\/8 (d) -23 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -130. Which is the nearest to m? (a) -16 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiec when four letters picked without replacement from ieeic?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 738\/4*(38\/7)\/(22\/154)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 134015050?\nAnswer: -134015024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 + a**3 - a**3)*(-13*a + 11*a + 8*a + (0*a - 3*a + a)*(0 + 1 + 0)) as r*a**4 + n*a**2 + w*a + h + d*a**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 351\/(-5) + -2*2\/(-20). What is the units digit of 1\/(0 - 5\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3490, 6384, 9290, 12208, 15138, 18080, 21034?\n\"Answer: 6*y**2 + 2876*y + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + s - 4. Calculate f(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-3)\/266) - 1. Calculate the common denominator of 32\/11 and ((-44)\/(-330))\/((-8)\/k).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8236 and 59492746.\nAnswer: 4118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**4 - 60*t**2 + 8*t + 13252 wrt t.\nAnswer: 8*t**3 - 120*t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4864 + -19453\/4. Which is the fourth biggest value? (a) -0.06 (b) -1\/3 (c) 2\/7 (d) z (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273 - 1298*f**3 - 86 + 0*f - 1394 - 5*f**2 - 2*f - 1233 wrt f?\nAnswer: -7788*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14866 (base 10) in base 7?\nAnswer: -61225","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aacxcaa. What is prob of sequence axca?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.11. Let s = -0.11 - v. Put -0.1, -1, s in ascending order.\nAnswer: -1, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/225648 and 121\/72.\nAnswer: 225648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*a - 252 + 422 - 212)*(7 - 4 - 2) in the form p*a + t and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 7*p**3 - 24 + 57 - 29 - 5*p**2. Let q(y) = -22*y**3 + 16*y**2 + 10*y - 12. Give 5*q(n) + 16*x(n).\nAnswer: 2*n**3 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4419 is divided by 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 divided by -517827?\nAnswer: 158\/517827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 190 = -27*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35911133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.1, 2\/9, 1\/3011, 2\/13, 1033?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 140 = 4*z, 2*m + z - 62 = -3*z. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 49*d + 1. What is the units digit of x(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -18*j + 4053. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*k**4 + 15*k**4 + 13*k**4 + 0*k**4 + 4*k**4 + k**4 + (-2 + 2 - 2*k)*(2*k**3 - 4*k**3 + 4*k**3) as d*k**3 + p + s*k + v*k**2 + n*k**4 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -93781*b. Let y(k) = -2080*k. What is p(y(z))?\nAnswer: 195064480*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 259, 265, 269, 271, 271?\n\"Answer: -k**2 + 9*k + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/45 and 49\/1355.\nAnswer: 12195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.459, 0.2, -0.3, 1 in decreasing order.\nAnswer: 12.459, 1, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.584 + -4.416. What is the third biggest value in 0, -1, y, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -0.8. Let l = -1 + 2. Let o = -0.3 - -0.3. Which is the third smallest value? (a) f (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - g**4 + 3 + 0*g + 5*g - g in the form n*g**4 + o*g**2 + p*g + c + z*g**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -452?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1961.\nAnswer: -5\/1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:43 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 5*z**2 - z - 4. Suppose 3*b - 5*b = -6. Let g be k(b). Let i = g - -33. What is the remainder when 49 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzldd. What is prob of sequence lz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/18 - (-1)\/2. Let t = 1 - q. What is the second derivative of 2*m**t + 6*m**4 - 4*m - 3*m + 0*m wrt m?\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/42 and 1\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28354671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1480, -1554, -1628, -1702, -1776?\n\"Answer: -74*f - 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/3)*h**13*(h**(-1\/2))**(-1\/74))**22 assuming h is positive.\nAnswer: h**(55385\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9*b - 2430 = 0. Calculate the lowest common multiple of b and 18.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwox when four letters picked without replacement from uwxxwoxooouwcwwo.\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224081437.\nAnswer: 17, 109, 120929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -37*u**2 + 56*u - 115. Determine j(2).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*t + 228 = 0, h + 3*t - 27 - 16 = 0. What is the third derivative of 45*i**2 + h*i**2 - 73*i**2 + 40*i**4 wrt i?\nAnswer: 960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54015 and 11519045.\nAnswer: 449242755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeeeeiieee?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 18*d**2 - 26*d + 44. What is the remainder when b(-19) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40454243 + -5?\nAnswer: -40454252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -65 + (-22 - (-18 + (19 - 31))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s = -13. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1935.50769 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.129 and 1.52387?\nAnswer: 0.19657923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, 5\/2, -44829\/5, -2 in increasing order.\nAnswer: -44829\/5, -2, -1, 1, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 2 + 3*k**2 + 1 - 5*k**2. Let g(n) = n - 1. Suppose -v + 19 = -4*w, 0 = v - 0*w + w + 6. Calculate v*r(y) + g(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 959493421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*n - 670, 4*n + 2800 = 5*z - 574. List the prime factors of z.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 0.2, -21.4, -660?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 12. Let v be m(-6). Let z(x) = x + 4. Let y be z(v). Let c = 2 - y. Solve -2*a = 10, c*l - 6*l + 18 = -2*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (505 + 1021 + 324 + 3 - 3 + 2 + 3 - 4 + 3 + (-4 + 1 + 1)*(6 - 2 - 2) + 2 + 2 - 3)*(0*v**2 - v**2 + 2*v**2).\nAnswer: 1851*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -7*n**6\/6 + n**5\/4 + n**3\/6 - 135*n**2 + 491*n - 2. Find the second derivative of c(f) wrt f.\nAnswer: -420*f**2 + 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 + u + 4. Determine y(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 100782, 403099, 906960, 1612365, 2519314, 3627807?\n\"Answer: 100772*a**2 + a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 13*t**3\/6 - 3*t**2 - 5*t. Does 6 divide k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 184\/3 - (-8)\/(-6). Let v = h - 73. Do -6 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, j: 2, s: 2, d: 4, e: 3, h: 2}. What is prob of sequence aedj?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4 + r**2 - 496*r + 505*r + 1. Let q be p(-9). Let c(j) = -j**3 + 4*j**2 + 5*j. Calculate c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 - 969\/(-171)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (12 + 41 - 58)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4612 times -1.8?\nAnswer: -8301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/(-6))\/3*1*3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2856000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.06 - 0.06. Which is smaller: o or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + 105\/20. Let p = j + 0. Suppose 0*x = 5*x + 3*r - 239, -p*x + 243 = r. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 304*c**2 + 385*c + 7. Let u(z) = -130*z**2 - 192*z - 3. Let r(s) = 3*o(s) + 7*u(s). Let j(h) = 7*h. Calculate j(r(m)).\nAnswer: 14*m**2 - 1323*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 6:05 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -11, -32, -63, -104, -155, -216?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 100286702 - -3?\nAnswer: 100286705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 707 - 240. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6926*x**2 - 41066*x**2 - 6 + 186*x**2 + 8.\nAnswer: -33954*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpjjjjpjpp. What is prob of sequence jppp?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -121. Suppose 6*d + h = 3*x + 3*d, x + 5*d = -5. Solve p + p + 4*v - 8 = x, -40 = 5*p - 5*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from vvvvvvvvvvhv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, m: 11}. What is prob of picking 3 z?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/((-8)\/36). Let n = b + -1. What is the first derivative of 2*v**2 - 5 + 8*v**2 - 6*v**n wrt v?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = 11. Let c(p) = -p**3 - 8*p**2 + 8*p - 10. Let n be c(z). List the prime factors of (3\/6)\/(n\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + ((sqrt(833)*-3)**2 - sqrt(17)))*-4 + -4.\nAnswer: -29992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3588582 is divided by 50537.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13566461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -112012121320?\nAnswer: 112012121321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58943.\nAnswer: 58943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-7 + (-114)\/(-18)). List the prime factors of 1\/(y*3\/(-7578)).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 17 - 5. Let j be 3*g*4\/(-18). Solve 0 = 4*r, -4*r + 9 = -3*a - j*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*y + 13002 - 5350 = 0, -2*l + 15316 = 5*y. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 11) to base 14.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 6*b**3 + b**2 + 24*b + 16.\nAnswer: (b - 4)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.8178+-61.02441\nAnswer: -60.20661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 2868*q**2 + 15543342*q - 26799258240.\nAnswer: -2*(q - 2157)**2*(q + 2880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9\/4)\/n)**(-8)\/(n*n**11*n*n)**(4\/17) assuming n is positive.\nAnswer: n**(386\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2673228 divided by -734.\nAnswer: -3642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 10 = -2, 11 = 5*l + 2*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10116 and 151\/6.\nAnswer: 10116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 5. Let k = 55.5 + -15.45. Let t = k - v. What is the closest to -0.2 in -1\/7, 0.2, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -201*(1 + 7)\/(-24). What is the second derivative of -397*y**4 - 2*y**2 - 38*y + 90*y + q*y + 453*y**4 wrt y?\nAnswer: 672*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.2862 milligrams in nanograms?\nAnswer: 509286200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-1\/3)*a))*a**(-22\/9))\/(a**(-45)\/(a\/(a*a**(2\/7)))) assuming a is positive.\nAnswer: a**(2705\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j, -4*l + 2*j + 48 = -2*j. Suppose -8*x + l = -3*x. Suppose x*f + 0*f = -8, 5*v = -2*f + 57. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p*x**3 + 6*p*x + 181*p - 1410*x**3 + 5*x wrt x.\nAnswer: -18*p*x - 8460*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-36)*-4)\/((-5)\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -31*b - 60. Let r be o(-8). What is the greatest common factor of 470 and r?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1274 or 1.69?\nAnswer: 3\/1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236 - -314.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -147\/2. Solve g*w**2 + 1\/4*w + 0 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3 + 9*q + 9*q**3 + 0*q**3 wrt q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32869, -65054, -97239, -129424, -161609?\nAnswer: -193794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -631, -3, 49, -112 in descending order.\nAnswer: 49, -3, -112, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5559*y + 5574*y - 70125 = 0. Is y a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (7 + 11) - 32\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a = -a - 13160. List the prime factors of a.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4752\/891 + (-3044)\/186 - (-10 - 1)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 5*o + 1. What is the units digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-816)*4)\/(-6*8\/(-432))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -996*w + 37478. What is u(37)?\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -4117?\nAnswer: 4117.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/120 - w**5\/12 + 7*w**4\/24 + w**3\/2 + 5*w**2. Let h be p(-6). Let y(n) = n**2 - 5*n - 3. Does 16 divide y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6882690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*s**3 - 79*l**2*s**2 - 1995*l**2 - 19*s with respect to s.\nAnswer: 3*l**2*s**2 - 158*l**2*s - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (21\/(-9))\/((-4172)\/(-1044) + -4)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 11. Let y(r) = -139*r**3 - 59*r**2 + r + 122. Let h(v) = -9*v**3 - 4*v**2 + 8. Let w(p) = 31*h(p) - 2*y(p). What is w(l)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 11) to base 14\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*h = 5*h - 55, 2*m = 3*h + 12. Let j be 46\/(-4) + m\/6. Let b = j - -13. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 3\/2 (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.8812 centimeters in kilometers?\nAnswer: 0.000828812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 820 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.011222 decades?\nAnswer: 1.34664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261603 is divided by 1384.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1\/329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = -69*u + 1121 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (0 - -3) - (45 + -27)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46536 + -46539. Let o(l) be the first derivative of -l**5\/120 + l**4\/6 + l**3\/3 - 1. Let t(f) be the third derivative of o(f). Calculate t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f - 6. Let j(o) = 6*o + 4. Suppose -4*i = -0*i - 64. Suppose 2*p = 4*u - i, u - 49 = 3*p - 5. Let w = p - -23. Determine w*j(s) + 5*y(s).\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(12\/19)\/(b*b\/(b\/(b*b**(-1\/29)*b)*b)*b)*b**9*b**(-9\/11))**(-2\/17) assuming b is positive.\nAnswer: b**(-70888\/103037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*k + 70, 0 = 2*y - 3*k - 63 + 7. What is the greatest common divisor of y and 3627?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 18*y + 5. Calculate s(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -140*u - 21. Let q(t) = 14*t + 2. Determine -2*p(f) - 21*q(f).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 88 + 18)*((0*r - 3*r + r)*(-2 - 1 + 2) + 11*r - 23*r + 9 - 8).\nAnswer: 850*r - 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttttfttttff. What is prob of sequence fftt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251805287 to the power of 1\/2, to the nearest integer?\nAnswer: 15868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 150792 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-7 - -12) - (-6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 0 + 9\/2*k**3 + 3*k**4 + 6*k - 12*k**2 - 3\/2*k**5 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 287*c**2 - 61*c + 99223. What is v(286)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 28*l**2 + 5*l - 8*l**2 + 10 - 18*l**2. List the prime factors of p(14).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6130491421?\nAnswer: 41, 6863, 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - 3*z)*(0*z**2 + 3*z**3 + 0*z**2) - z**4 + 0*z**4 - 5*z**4.\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Suppose -j*i = -4*g - 16, -4*i + 3*g + 32 = 2*g. What is the least common multiple of i and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.212 - -0.026.\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 21 = j, -4*i = -3*j + 7 + 26. Let x(n) = 2*n**2 + 17*n + 41. Determine x(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + (sqrt(847) - (sqrt(847) + -2 + sqrt(847)) - sqrt(847)) + -2)**2.\nAnswer: 88*sqrt(7) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020110 - -201122?\nAnswer: 12222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -29*i**3 + 3*i**2 - 3*i - 3. Let p(l) = -3*l - 2*l - 57*l**3 + 6*l**2 + 17338 + l**2 - 17343 - 2*l**2. Calculate 5*o(h) - 3*p(h).\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 996 and 69612.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.5 (c) 0 (d) -36\/7 (e) -2\/7 (f) -2\/459\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 94334 and -0.17.\nAnswer: 94333.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -15. Calculate the highest common divisor of d and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 90\/41 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, 103, 143, 191, 259, 359, 503, 703?\n\"Answer: 2*a**3 - 14*a**2 + 72*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138283233 and 19932.\nAnswer: 4983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u. Let q be r(1). Suppose -q*h = -13 - 7. What is the least common multiple of h and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -6 - (-3)\/2. Let m = 4 - 3. Suppose 0 = -3*w + 2*w - 5. What is the third smallest value in c, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 65*q + 33. Let i(r) be the second derivative of 11*r**3\/2 + 17*r**2\/2 - 13*r. Let m(a) = -5*i(a) + 3*t(a). Find the first derivative of m(y) wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106079070 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 7, 62, 5 in decreasing order.\nAnswer: 62, 7, 5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 2*t. Let y(u) = -5*u**2 - 3*u. Let c(l) = -6*l**2 - 4*l. Let n(r) = -3*c(r) + 4*y(r). Calculate i(n(j)).\nAnswer: 12*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43769417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11731*m - 2264043. Calculate y(193).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1651 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 18 + 25. Let f be (1\/4*t)\/((-4)\/(-8)). Factor -u**3 + 0*u + 3\/2*u**2 - f*u**4 + 0.\nAnswer: -u**2*(u - 1)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*c - 369548 - 483396 - 82201 = 8877*c for c.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s - 22. Let w be x(3). Let v(t) = 8*t**2 + 10. Let g(p) = p**2 + 1. Determine w*g(u) + 4*v(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43043837 is divided by 1201?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11*((-37)\/3)\/(-1). Let q = w + 4630\/33. Let a = 6882 - 41185\/6. Find the common denominator of q and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -2*m**4\/3 + 10*m**2 - 6*m. Let c(w) be the first derivative of d(w). Let q(r) = 2*r. Give q(c(g)).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + l - 26 = 0, -3*u - 361*l + 358*l + 90 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqlkn. What is prob of picking 1 q and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*y - 478, 3*b - 139 = y + 343. Let r = b + 17. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 10*d + 1. Let z be h(-10). Let m be (-4)\/z*(-15)\/(-100). Which is the third biggest value? (a) 0 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 881\nAnswer: -8\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 3*n + 72, 6*l - 107 = -0*l + 5*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 205284 + -205283.999903607. Round i to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 + 70 - (-21 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10037 + -9641. Calculate the greatest common factor of 9702 and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-28))\/(z\/z**2*z)*z**(9\/2)*z*z**(-13) assuming z is positive.\nAnswer: z**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1022*u + 5. Let l(g) = 3064*g - 14. Give -6*l(q) - 17*s(q).\nAnswer: -1010*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2817 - 7222. Let s = i - -19418. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56814 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 202 - 113. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/20*-1*130. Let k = n + 179. Suppose 4*s - 2*i = s + 359, s - k = -3*i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409487 is divided by 1037.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.9184 times -223?\nAnswer: 3995.8032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3138, 3112, 20086, 53148, 107662?\n\"Answer: 894*v**3 - 2*v**2 - 2*v - 4028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1248\/(-390))\/((-4)\/5). Let x(s) be the first derivative of 0*s + 3\/2*s**y - 9 - 2*s**3 + 0*s**2. Let p(b) = b**3 - b**2. Give -16*p(w) + 3*x(w).\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 - 10 = 0. Let c = -188 + 184. Sort c, o, -6 in decreasing order.\nAnswer: o, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (0 - -6) - 1. Let c(v) = -49*v + 5490. Let n be c(112). Put d, n, 3 in decreasing order.\nAnswer: d, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5\/2, 16 in decreasing order.\nAnswer: 16, 5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -4*j - 47, 5*j - 524 = 11*l - 648 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a + 8 = 33*a - 5*x, -5*x = -4*a + 26. Suppose -25928 = -4*h - 2*l, a*h - 13*h = -5*l - 25928. Round h to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -147. Put 17, 3, z in decreasing order.\nAnswer: 17, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -78. Let x = -36 - q. Solve 3*j - 4*f + 0*f + x = 0, -3*j + 1 = 4*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8351, 66758, 225315, 534098, 1043183, 1802646, 2862563, 4273010?\n\"Answer: 8346*o**3 - o**2 - 12*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.22 - -0.041773.\nAnswer: -8.178227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -3. Suppose 3*g + g + b = 0. What is the units digit of -1 + (-10 + g)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14387107 and 788?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.18264184481 + -2.18264. Round f to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -121, -0.2, 13 in decreasing order.\nAnswer: 23, 13, -0.2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8970\/(-299)*(2\/5)\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 682.5 + -525. What is o rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110111101 (base 2) to base 13\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-12)*(-132)\/(-77).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 13 = 3. Let i be (14\/4)\/(1\/2). Suppose 0 = 4*u + 19 - i. Sort u, -4, g in decreasing order.\nAnswer: g, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 159.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1. Let r(t) = 11*t - 4. Let k(a) = 5*a**3 + a**2 + 182*a - 183. Let o be k(1). Determine o*z(y) - r(y).\nAnswer: -11*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18662*d - 18579*d - 3237 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 785*n**2*o**2 - 86*n*o**2 + 3*n*o - 2*o wrt n?\nAnswer: 1570*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -2, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.4489 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0, -1, 5, -8.99, -2\/7 in descending order.\nAnswer: 5, 2\/21, 0, -2\/7, -1, -8.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*g - 2*v = 166*g + 16, 0 = -g + 3*v + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5930372 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.5, -0.4, -1597, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*f - 192. Calculate the highest common divisor of f and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 - 3*a**2 + 3*a - 1. Let c be u(-3). Suppose -10*y = -7*y - x - 466, -2*y + x + 309 = 0. Suppose z = y - c. List the prime factors of z.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-24))\/((-52)\/208))\/(3\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 4, p: 2, r: 1, n: 1}. Give prob of picking 1 n, 1 p, and 2 l.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/4 - 3\/(-12). Suppose 2*k - 3 - a = 0. Calculate the remainder when 14 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**2 + 1. What is y(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 3*m**2 + 3*m - 2. Let d be r(-3). What is the tens digit of (-4)\/(d\/9 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -25, -22, -19, -16?\n\"Answer: 3*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49*75\/(-525)*(-6)\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -677976980 to the nearest one million.\nAnswer: -678000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: (350\/(-1750))\/((-24)\/10)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 36*j**2 + 3 - 7 to v*j**2 + r + w*j and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1265447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*r + 1, r = -0*r - 3*t - 1. Suppose 3*b - 15 = 2*s - s, r*s = -5*b + 25. Suppose 4*k - 20 = s, 4*f = 5*k + 49 + 78. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-336)\/(-54) - 6)\/(6\/81). Solve -8 = -3*g + 2*u - p*u, -g - 6 = -4*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6397*t**4 - t**3 + 2*t**2 - 16*t - 2637 wrt t?\nAnswer: 76764*t**2 - 6*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 56*s - 8. What is b(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. Suppose 0 = -3*v + 5*g + 41, -g - 34 = -y*v + 4*g. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-1 + 5 + (-21944)\/6). What is k rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j**2 + 17*j + 1. Let p be g(-2). Let y(q) = q**2 - 32*q - 80. Let v be y(p). Solve -v = 3*x - 5*w, -3 + 4 = x + 3*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-246364)\/65214*(-2)\/8*18\/(-3)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 1079474 = -1942169 - 119258. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -558.9666 + -0.0334. Let u = -625.2 - d. Let m = -66.2821 - u. What is m rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 + 2. Suppose 3*s = 73 + 5. Let v = -24 + s. Let d(c) = -1243*c - 3*c**2 + 2*c**v + 1243*c. What is d(y(o))?\nAnswer: -16*o**4 + 16*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 949872 and 24?\nAnswer: 949872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-31)\/5)\/(9\/(-45)). Let f = -11 + u. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33636689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.343 plus 0.8?\nAnswer: -25.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2 + 0 - (-46 - 5). Suppose 38 = 3*l + a. Does 17 divide 10*(-75)\/(-6) + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 - 9\/(-15). Let s = j + 17. What is the remainder when s is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 51.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - g - 1. Let i(q) = -9*q**2 + 6*q + 6. Let r(a) = i(a) + 6*n(a). Let x be -2 + (1 - -1 - -2). Let k(o) = 5*o**2 - 2*o + x*o. Give k(r(y)).\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 94*q - 172. Does 43 divide g(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 10*j**2 + 28*j - 16. Let b be h(-13). Suppose 2*a - b + 75 = 0. Calculate the greatest common divisor of 325 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - k + 4*k)*((-2 + 1 - 2)*(-2 - 1 + 2) - 1 + 3 - 1 - 1 + 4 - 2) + (6 - 2 + 3)*(-6*k - k + 3*k)*(1 + 2 - 8) in the form l*k + g and give l.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-39)\/20*(5 - 3) and (30\/4)\/((-2)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 137950 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/198 and 52\/15.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -912.1 + 912. What is the nearest to -1 in l, 1721, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28882368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:59 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -271260129 less than or equal to -271260128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 33*n**2 - 9*n - 9. Suppose -4*l - 4*h + 8 = 0, -15*l - 10 = -20*l - 4*h. Let g(d) = -8*d**2 + 2*d + 2. Determine l*v(y) + 9*g(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 50*s + 566. Let y be i(-17). Sort 6, -23, 0, y in decreasing order.\nAnswer: 6, y, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 1058948*f - 6353665. Determine k(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 67?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -196314095?\nAnswer: -1\/39262819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**2 - 1 + 18*r**2 - 3*r + r. Calculate the remainder when 33 is divided by l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -3*j + 1923. Is j a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.8 + -9.8. Sort -0.1, 0.2, r, -4 in increasing order.\nAnswer: -4, -0.1, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199\/165 + 7\/55. Suppose f*z + 1\/3 + z**2 = 0. What is z?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141654, 281965, 422276, 562587, 702898?\nAnswer: 843209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from {n: 2, f: 1, s: 6, o: 9, g: 1}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose -p*f + 78 = -28. Suppose 10*a + 3*a = 351. Calculate the remainder when f is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225 + -220. Let u(x) = -3*x. Let h(b) = -2*b. Determine i*h(n) - 2*u(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 9\/16 (b) -1.34 (c) 0.2 (d) 2\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 21*b - 5898. Calculate w(5).\nAnswer: -5793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16215134, -16215159, -16215202, -16215263?\nAnswer: -16215342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*k - 15, 2*z + 1 - 7 = 2*k. Let s be 9\/3*-1 - (-7)\/1. Suppose -4*q = -2*b - 16 + 4, -s*q + 5*b = 0. Solve m - 5*n = -20, -n + q = -z*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264 (base 9) to base 3.\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152901 - -236674. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 - -4866.16707.\nAnswer: 4831.16707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20362 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3, 20 in decreasing order.\nAnswer: 20, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -125?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -43. Let q = 23.13 + r. Are -0.1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -60 - (-3)\/(-3 + 2). Let h = f - -94. Calculate the remainder when h is divided by -2 + 3\/((-3)\/(-13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/41994 and -41\/18180.\nAnswer: 42413940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - 2 + 2 + (-2*c + c + 0*c)*(-2*c**3 - c**3 + 2*c**3) - 87*c - 9*c**4 + 87*c - 4*c**4 - c**4 + 2*c**4 + (-1 + c**3 + 1)*(-2*c - c + 4*c).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13446880 and 1468?\nAnswer: 13446880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) -1\/490 (c) -2 (d) 0 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1135*t + 4 - 1128*t + 2244*t to the form h*t + f and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + (-6)\/7. Suppose 16 = -27*z - 11. What is the nearest to h in -2\/9, 1\/8, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s. Let w(c) be the third derivative of -c**6\/720 - 13*c**4\/12 - c**3\/3 - 71*c**2. Let f(x) be the second derivative of w(x). Determine m(f(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g - 288*l - 24 = 34*g - 290*l - 6, -2*g + 5*l + 23 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4736 (base 8) in base 4?\nAnswer: -213132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -203.\nAnswer: 4\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -33. Solve o + 2*s - 4*s = 1, -16 = 2*o + k*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78174853, 78174851, 78174849?\n\"Answer: -2*s + 78174855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1823 (b) 0.3 (c) -5 (d) 45 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 3*m**2 - 6*m - 6. Let a be q(-4). Let i be (10\/4)\/(a\/4). Let z = -4 - -7. Solve -5*y - i*w = -z - 7, -2 = 4*y - w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/8 - (-2)\/(-8))*(-6212)\/85415.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2378203 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*n)*(-n - n + n)*(-4 + 2 - 4) in the form c*n + i*n**2 + u and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48793486.\nAnswer: 2, 7, 29, 120181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/14)\/z*z))\/z*z**7)\/(z**(-4\/5)\/(z\/((z\/(z*z**5))\/z)))*(z\/(z**(-2)\/z))**(-2)\/(z**(1\/7)\/z*z**(5\/4)) assuming z is positive.\nAnswer: z**(907\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, y: 4}. Give prob of sequence yy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/8)\/(2\/8). Suppose -4*c = -v*d + 11, 0*d - 3*d + 13 = -2*c. Find the third derivative of 3*t**2 - d*t**2 + t**2 + t**5 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-24))\/(114\/8).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 7:20 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = -336689*a + 336676*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32506166 by 149798.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 4?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 8\/7 + 46\/7*l**2 - 40\/7*l.\nAnswer: -2*(l - 2)*(l - 1)*(7*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 11*s - 3. Solve b + 0 = -2*m + 3, -s*m = 2*b - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 37. Suppose -40 = -8*f + q*f. Factor -285 - 6*w**2 - f*w + 0*w**2 + 281.\nAnswer: -2*(w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8)\/((-198)\/(-24) + -8). Let q = -9301\/1118 + 108\/13. Which is greater: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19576, -19607, -19654, -19723, -19820?\n\"Answer: -z**3 - 2*z**2 - 18*z - 19555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 205 = -75. What is the highest common divisor of u and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 42 + 108*j**3 - 8 + 53*j**3.\nAnswer: 161*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*g - 0*g - 50, 3*f - 9 = -g. Suppose 0 = -0*l + l - g. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551999?\nAnswer: 3, 43, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 6*k**5 - 4*k**5 - 5*k**5 + 11 - 11 + (k + 0*k - 2*k)*(-5 + k**4 + 5) + 6*k**5 + 3*k - k**4 - 2*k + 0*k**5.\nAnswer: -k**5 - k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211913892?\nAnswer: 2, 3, 31, 189887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 638*l**2 - 37753*l - 619. Give b(-572).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 - -17 - (1345 + -1381)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k)**(-3\/25)\/(k**10*k*k**1*k*k) assuming k is positive.\nAnswer: k**(-359\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 49 - -1 - 13?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2335, 9\/4, 1 in ascending order.\nAnswer: -0.2335, 1, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*b**4*k + 5*b**3*k + 3*b**2*k - 2*b*k + 54*b - 233*k wrt b.\nAnswer: -828*b**2*k + 30*b*k + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/1474 and 43\/132.\nAnswer: 8844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.677581 rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**2 - j + 2. Let z(g) = 6*g**2 + g - 2. Suppose -6*m - 9 = -3*m. Give m*n(x) - 4*z(x).\nAnswer: -3*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5 - 1320*a**4 + 2*a + 10510 wrt a.\nAnswer: -40*a**3 - 15840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1124 (base 13) to base 9.\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/30 - 9*f**3\/2 + 269*f**2. Let c(i) = 2*i - i**2 - 2*i. Determine c(v(z)).\nAnswer: -4*z**4 + 108*z**2 - 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -34598?\nAnswer: -172990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17357383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 3*q + 3. Let m(j) = j**2 + 2*j - 1. Let v(x) = -m(x) - z(x). Give v(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.10149 and -1.490815384.\nAnswer: -1.389325384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/179? (a) -0.027 (b) 1\/4 (c) -2 (d) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 1068*i - 4336.\nAnswer: 4*(i - 4)*(i + 271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a year in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxxxnxxxnxxxx. Give prob of sequence nx.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104324232 and 9352?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Let y(n) = -4*n + 461*n**3 - 5*n**4 - 451*n**a + 0*n. Let m(w) = 5*w**4 - 10*w**3 + 5*w. Let c(i) = 4*m(i) + 5*y(i). Let c(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2650 and 3074.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-27)\/(-9)*2\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/7562 and 55\/348648?\nAnswer: 6624312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4865726ml to litres.\nAnswer: 0.0004865726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 6. Let a be p(-5). Suppose d = 3*y - 7, 4*d + a = -0. Calculate the greatest common divisor of 14 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.8108 decades in centuries?\nAnswer: 5.08108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5686683884.\nAnswer: 2, 7, 1163, 174631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3181.8 + 3182. What is the second biggest value in w, -0.13, -2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 15580*n - 12136820.\nAnswer: -5*(n + 1558)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -169? (a) 0.2 (b) -283 (c) -0.5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**6\/360 + s**5\/120 - s**4\/24 - s**3\/6 - 10*s. Let y(n) be the second derivative of t(n). What is y(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(45)\/sqrt(9) + sqrt(5))**2*-6*1*-4.\nAnswer: 192*sqrt(5) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 357 and 15096?\nAnswer: 105672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(-6*sqrt(85)\/sqrt(5) - sqrt(17) - sqrt(17)))**2 + -4.\nAnswer: 81596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*v = 6, 5*y + 4*v - 8 = 19. Sort 1, y, -6, -0.08 in descending order.\nAnswer: y, 1, -0.08, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 2*b**2 - 2*b + 2. What is c(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let z(a) = -104*a**2 + 728*a. Give 546*b(f) + 3*z(f).\nAnswer: -312*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 240. Suppose -5*z = -4*y + x, -4*y + 3 = -3*y + z. Suppose -q - m = -2 - 1, -3*m = -5*q + y. Solve q*p + 5 = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o + 330 = -12*o - 129 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 811.1572 millimeters?\nAnswer: 81.11572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*6100\/16*6\/15.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998296 divided by -2268?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42110 or -378995\/9?\nAnswer: -378995\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329854090*u**4 - 372153236*u wrt u?\nAnswer: 3958249080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4072 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6 and -59\/18429.\nAnswer: 36858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1100 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let i(u) = -2 + 2*u + 2*u**r - 4*u**2 - 4*u. Determine i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = 5*j - 3*h - 52, -100 = -j - 2*h. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -3 (c) -0.5 (d) -7342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghrh when four letters picked without replacement from hggrhhh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 8*l + 5. Let n be h(6). Let r(i) be the first derivative of i**4\/4 + 8*i**3\/3 + 9*i**2\/2 + 7*i - 49. Determine r(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 173\nAnswer: 8\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11225?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79454\/859 greater than or equal to 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/2 - 1107*f**3\/2 - 3527257*f**2 + 14115654*f - 14117860 = 0. What is f?\nAnswer: -2162, 2, 3265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 5. Let c be q(-6). Is 83*-3*c\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20287 + 20615. Calculate the remainder when 712 is divided by b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/(6\/(-15)). Let v(k) = k**3 + 3*k**2 - k + 1. Let x be v(-3). Let o be 10\/14 - (40326\/(-77))\/13. Sort o, c, x.\nAnswer: c, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054920111?\nAnswer: 2054920111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3508584*d**2 + 3662398*d?\nAnswer: -7017168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = 7*l. Let y be 114\/(-2) + 2\/l. Let w = y + 87. Solve -5*q + 9 - w = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s + 5198. Let v(t) = 4*t**2 - 2. Determine z(v(f)).\nAnswer: -36*f**2 + 5216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27286*g - 62 = 27255*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811 at most 3809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccab when four letters picked without replacement from cuabeub?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 638?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Let w = -0.01 - -0.01. Let x = 9284 + -9283.9. Which is the nearest to w? (a) -7 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 2 - 5 + 3.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.06044455, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuummagmmm. Give prob of sequence ug.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4540 divided by -4.\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*1*-1)\/(1*(sqrt(36)\/(-3*sqrt(3)) + sqrt(12))).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 68, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29544 or 29538?\nAnswer: 29544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2642871 millilitres in litres?\nAnswer: 0.0002642871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -37. Let n = s + 9. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13 = -2*i, b + 4*b + 7 = 3*i. Let t(v) = -35*v + 100*v - 67*v. Let m be t(i). Solve 0 = 2*x + x - m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbnnibbiib. Give prob of sequence bnbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 - 14*x + 5. Suppose -12*b = -16*b + 112. Suppose 5*l = l - b. What is the lowest common multiple of z(l) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, w: 5, y: 3}. What is prob of picking 2 w?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**2. Let l(d) = d - 2. Suppose -7*q + 20 = -3*q. Let f(c) = c - 10. Let g(t) = q*l(t) - f(t). What is h(g(o))?\nAnswer: -208*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -141*f + 16644. Calculate s(118).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 68.97 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 35 - 13*n to the form z + q*n and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 6:16 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 68.13 (c) 0.2 (d) 0.0028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 + 158. What is the remainder when t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051431.\nAnswer: 29, 127, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3315 = 39*n - 4134 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 5, -4, 19 in ascending order.\nAnswer: -28, -4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3156, 3129, 3054, 2901, 2640, 2241, 1674?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 39*x - 495. Is w(-41) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/12435833?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + -1. Let t be c\/5*(-58)\/4. Suppose 5*h + t = 79. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -37 - 36 - 15.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p**2 - 532*p + 261*p - 3 - 8*p**2 + 263*p + 6*p**2 as s*p + b*p**2 + j and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + -5*(-3 + sqrt(612)) + -3 + -4)**2*-6 + 4).\nAnswer: -368048 + 8640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*p - 8*s + 4, 4*p + s = 18. Is ((8\/p)\/(-2))\/(4\/(-970)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25603 + 26683 = 30*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 21 = -3. Let d = -6 - b. Suppose 0 = x + d*n - 5, n - 26 = -3*x - 6. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {b: 1, z: 5, d: 9, f: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -48 - 24. Let o be 1 + (-1 - -2)*1. What are the prime factors of o - 156\/(i\/3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0774 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 187\/870, 2\/17, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 4*t - 6903 + 6847, 3*t - 5*o + 72 = -10*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74835 is divided by 209.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -14*h + f - 13516, -3*f = h - 4492. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*k - 69537, -5*z + 2*k = 3*k - 69541. Suppose 5*h + 4*u - 148924 + z = 0, 2*u + 26992 = h. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 76270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoe when three letters picked without replacement from eceykoyyckyyyyycckk?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -921 - 159 = -5*z. Let d = z - 78. Calculate the remainder when d is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 284 - 228 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 28938923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3362*l**3\/9 - 10660*l**2\/9 - 3008*l\/3 - 256 = 0. What is l?\nAnswer: -2, -24\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -4.\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t - 8. Let q(w) = -6 - 10*w - t - 1. List the prime factors of q(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (140\/(-12) + 11)*7. Let w be 1\/(-4) - (-18)\/8. Factor 0 + k*p**3 + 2*p + 17\/3*p**w.\nAnswer: p*(p + 3)*(5*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 734, 1102, 1470, 1838?\nAnswer: 2206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -0.21. Let u = 2 - 4. Let z = -3.08 + 0.08. Which is the nearest to v? (a) z (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 3826\/10) + 4\/(-10)*1. Which is the nearest to 0.1? (a) p (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t + 7*t - 2*t**2 - 3*t**3 + (0 - 1 + 2)*(-3*t**3 - 14*t**2 + 14*t**2) to the form m*t + z + k*t**3 + v*t**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 21*u + 90.\nAnswer: -3*(u - 10)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + s - 289 = -0*s, 228 = 3*n + 3*s. Suppose -49 = -4*c + n. Suppose -5*p = c - 450. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjx when three letters picked without replacement from {o: 1, x: 1, r: 1, t: 4, j: 5, h: 3}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 - 24*i**2 - 7*i - 9. What is the smallest common multiple of f(-6) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, p: 1}. Give prob of picking 1 r and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/4567 and 95\/8?\nAnswer: 36536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z\/(z\/z**(-4\/3))*(z*z**(-1))**23*(z**1)**(1\/2)\/((z*(z\/z**(-2\/15))\/z)\/z*z\/(z*z*z**(-2\/5))) assuming z is positive.\nAnswer: z**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f\/f**(-24))\/f)\/f)\/(f\/(f*(f**(-5)\/f*f)\/f*f)) assuming f is positive.\nAnswer: f**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.02, 182\/3, 0, 5 in descending order.\nAnswer: 182\/3, 5, 2, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2078*c + 2115*c - 11*c**2 - 4195*c - 67 to the form i + p*c**2 + m*c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 - -185.28. Let q = k - 182.9. Let p be (2\/8)\/(3\/(-8)). Sort -4, -0.5, p, q in decreasing order.\nAnswer: q, -0.5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y)**(-19\/5)\/(y**(-1)*y\/y**6))\/((y**(-2))**(-33)\/(((y*y**(-2\/25))\/y)\/(y\/(y\/(y*y**(-2)))))) assuming y is positive.\nAnswer: y**(-3956\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-210)\/50)\/(6\/(-8)). Which is smaller: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 188?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -544 + 546. Suppose 0 = -2*t + 4*t + 4*m + 30, 2*t - 5 = 3*m. Let y = 5 + t. Solve -g*u = -y*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (44\/(528\/36) - (-5 + 20))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 2. Suppose 3*j + 23 - 35 = 0. Let m = j - -16. Calculate the remainder when m is divided by o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 2)*(2*n**2 + 3*n**2 - 4*n**2) - 4*n**2 + 3 - 3 + (-n - 5 + 5)*(n - n + 3*n) + (n + 4*n - 4*n)*(4*n - 4*n - n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7))**(-1\/6)\/(((w\/(w*w**17*w)*w)\/w)\/(w\/((w\/(w\/(w**17\/w)))\/w))))**(2\/55) assuming w is positive.\nAnswer: w**(34\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + g = -x - 18, 4*x + 43 = 5*g. Let j(c) = 37*c**2 + 10 + 45*c**2 + 9*c - 81*c**2. What is j(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 - 62 = 3*f, -3*f - 48 = 4*q. Let x = q + 31. Suppose 4*m - 3 = 9. Solve -m*k - 3*d - 2 = -4*d, -3*k = -5*d + x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1007441 - -116?\nAnswer: 1007557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/3, -11, -0.4, -5, 5, -17.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 0*n - n)*(-2*n + 41*n**3 - 65*n**3 - 28*n**3).\nAnswer: -156*n**4 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.4, 267?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142919703 to the power of 1\/3, to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (8 + 0 - 17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + -28. Let v be (-1 - (-1)\/(-3))*21. Let i = v - c. Calculate the greatest common factor of i and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 827*s. Let l(r) be the second derivative of r**4\/4 - 2550*r. Give y(l(a)).\nAnswer: 18*a**4 + 2481*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55458794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 7*x + 2 = 0. Let t(r) = -31*r. Calculate the remainder when 59 is divided by t(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3712 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 18*g + 10773*g**4 - 13*g + 15*g - 25*g**3 - 10773*g**4 + 5*g**5 = 0?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 38*x + 70 = 31*x. Let u(j) = j - 5. Let z be u(5). Solve -n - 5*g + 5 = z, -2*g - 3*g = -5*n - x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 25*s**5\/12 + s**4\/8 - s**3\/3 - 3*s**2 - 21*s. Is n(1) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.191917t?\nAnswer: 8191917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 23, 53, 95?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, b: 2, f: 2}. Give prob of sequence oobf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-6)*(-8)\/(-6). Suppose 0 = 4*y + 4*o + 28, -2*y + 2*o = 2*y + 46. Let z be y\/(-15) + (-20)\/m. Solve 4*i = 2*f + 3*i + z, 5*i = f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*z + 311 = 0, -4*n - 301 = -4*z + 5*z. Let s = n - -43. Let c = s + 27. What is the nearest to c in -1, 0, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*p = -5613876, -5*p = -77*w + 82*w - 28069540. Round w to the nearest 10000.\nAnswer: 5610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 - -5 - 0)) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - d = -209, -116 + 1035 = 13*m + d. Calculate the remainder when 771 is divided by m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. Let l be 49\/14 + r\/(-4). Suppose 2*u + 157 = l*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*q - 1. Let c be -6 + (-2 + 4)*-1. Let h = q - c. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117820 or 117670?\nAnswer: 117670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 15*v**4 + 25*v**3 - 5*v**2 - 25*v - 5. Let r(f) = 8*f**4 + 12*f**3 - 2*f**2 - 12*f - 3. Let y(g) = -5*r(g) + 3*t(g). Find j, given that y(j) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnbn. What is prob of sequence bnnb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*b**2 - 620*b**2 + 205*b**2 + 205*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47008955699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -5.\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4533\/1281 - -14*98\/2401.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28672 and 12288?\nAnswer: 86016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 divided by -4?\nAnswer: -693\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2390 - 3230 + 18*r + 21*r - 39*r - 2*r**3.\nAnswer: -2*r**3 - 840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77, -157, -237, -317, -397?\n\"Answer: -80*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 236 = -4*q, -577 = -5*b + 4*q + 41. List the prime factors of b.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j. Let p(q) = 3*q - 2. Let d(c) = c - 18. Let h be d(7). Let t(o) = -16*o + 11. Let v(i) = h*p(i) - 2*t(i). What is r(v(w))?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4461\/5948)\/((5\/200)\/(2\/(-4)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:28 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**4*w + r**2*w**3 - 6*r**2*w**2 - 303*r*w**3 + 2*r wrt r.\nAnswer: 72*r**2*w + 2*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 5*p + 15, 0 = v - 3*p - 9. Suppose v*r + r = 24. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 11273 + 3639 = 0. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 965 + -1641. Let k = u + 678. Suppose 4 = -3*t - 2. Which is the second smallest value? (a) -8 (b) k (c) t (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505886768?\nAnswer: 2, 31, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96593.88 nanometers in meters?\nAnswer: 0.00009659388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015322 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 8*s**2 + 8*s + 12. Let d be j(9). Suppose -d*r = 7*y - 2*y + 19, 3 = 4*r + y. Does 3 divide (6\/r)\/(21\/154)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333411232 (base 6) to base 13.\nAnswer: -133b491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 14 = -5*a, x + 13 = 5*a + 7. Solve -3*m = -a*t - 11, 5*t = 6*t + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*u - 300 = 161*u - 318*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36872*d - 4607 wrt d.\nAnswer: -36872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 10*s - 12. Suppose 2*g - 7 = -s. Suppose g*l + l - 48 = 0. Calculate the highest common divisor of l and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2252 and 2.475?\nAnswer: 5573.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 - 17 = -42*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**5\/30 + x**3\/2 + 5*x**2\/2 + 2. Let i(z) be the second derivative of o(z). What is the first derivative of i(g) wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22607.\nAnswer: 13, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 + 153269*z**3 - 153203*z**2 - 9962357*z - 9655884 = 0 for z.\nAnswer: -7, -1, 9, 153268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6106014 by -6.\nAnswer: 1017669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 4*f - 3. Suppose 3*w + 5 - 14 = 0. Let c be q(w). Suppose 0*x - 3*x + c*h + 15 = 0, -3*x - 15 = 3*h. Solve x = -2*i + 4*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248511 is divided by 1648.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.138 - 0.638. Let p be 221\/910 - (-1)\/(-7). Let g = 3.6 - 0.6. Which is the smallest value? (a) g (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5\/5 - 357*j**4\/5 - 10272*j**3\/5 + 6192*j**2 + 120960*j = 0?\nAnswer: -60, -7, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17.263*-312.8\nAnswer: -5399.8664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 + 125. Let w be (-14)\/(-6) + (-2 - -1). Which is the closest to m? (a) w (b) 0.5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -14, 4, 42, 106, 202, 336?\n\"Answer: r**3 + r**2 - 6*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.62 - -1.38. Let y = 0.06 - 5.06. Let o = 164 - 661\/4. Which is the nearest to 1? (a) y (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*m - 6, 0 = -0*r + 2*r - 5*m - 24. Let v be (-8)\/(-36)*-3 + r\/4. Let q = -0.1 - 0. Which is the nearest to q? (a) 2\/11 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3 - 66*y**2 - 134*y - 60.\nAnswer: 2*(y - 10)*(y + 1)*(4*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 2*o**4 + 3*o**4 + (-5*o**3 + o**2 + 2*o**3 + 5*o**3)*(-4*o + 0*o + 3*o).\nAnswer: -3*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 3}. Give prob of sequence bmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/(-910)*1 - ((-605)\/(-77) - 8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/3 (b) 85 (c) 12\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 3. Let z(y) = -2*y - 2. Let a(m) = 2*p(m) - 3*z(m). Let j(w) = 9*w. Determine a(j(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 41 = i, -5*d + 0*d + 4*i = -44. What is the lowest common multiple of 42 and 12\/d*(1 - -1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a second?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 3)*(3 - 1 - 4) + 0 - 3 + 4)*(11*f - 12*f + 2 - 1) to i*f + v and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 24 - (2 - (4 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3651 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.25 and -119428198.436.\nAnswer: -119428198.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 2, 0.5, -0.6, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*o = -2*b + 4, 2*b - o - 7 = 0. Suppose -b*u = -0 - 18. Suppose -2*l - 2*r = -52, 0 = -u*r + 3*r + 12. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541177650.\nAnswer: 2, 3, 5, 13, 79, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 1 - 3*f + 18 + 4*f - 2*f to the form b*f + p and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 64 = 4*i. Let o be (1\/4)\/((-2)\/(-536)). Let x = 75 - o. What is the greatest common factor of i and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 2*l - 10. Let g be q(5). Let b(k) = -k**3 + 4*k**2 + 7*k + 6. Let z be b(g). Solve z = 4*n, -x + 4*n - 1 = 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1)*((-1364877)\/(-227475) + -4 + -2). Let t be 5142\/100*2271\/36396. Let k = j - t. What is the common denominator of k and -115\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/122220 and 55\/32?\nAnswer: 977760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1193687841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 18*x**2 - 29*x - 98. Let h be f(-8). Solve 76 - 106 = h*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 0*y)*(-5 - 1 + 4) + 3*y + 2*y - 4*y - 2*y + 0*y + 0*y - y + 2*y - 2*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*x + 98, 1 = 2*x - 9. Let o be (-87)\/(-1)*2\/6. Let l = -21 + o. Calculate the remainder when v is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226 + 699 - 5098 - 2046 - 1735)*(4*q**4 + q**5 - 4*q**4).\nAnswer: -7954*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166888811 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.59 - 0.09. Let y be -1 - (2 + 0 - 2). Let m = y + -2. Which is the biggest value? (a) w (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1642 - -783.1642. Let p = d + -763.088. Let y = p + -20. What is y rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d - 2*d. Solve t - d = -1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 2 p when four letters picked without replacement from {i: 1, l: 1, c: 1, p: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) -1 (c) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*x + 21 = 0, 2*l - 4*x - 14 = 24. What is the greatest common divisor of 153 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 10:25 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 6 = -5*b, 3*i = -3*b + 2*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 35 = -3*h. Factor 64*g - 256 - 7*g**2 - 2*g**2 + h*g**2.\nAnswer: -4*(g - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let g = 6577\/17 - 387. What is the nearest to g in -3, i, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 - 14 = 0. What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140 and 0.5?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (657\/828 + (-42)\/56)\/(-1).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/8 + 6*c**2. Let g(r) = r**2. Let m(q) = 8*q**2. Let h(j) = 12*g(j) - m(j). Determine h(k(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**4\/24 + 7*g**3 + g**2. Suppose 0 = -239*m + 1425 + 3833. What is the remainder when s(0) is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*a + 42673 = -44068 + 90849 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 578771 + -309131. Suppose 18*x = -3*x - t. Round x to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152174 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860345.\nAnswer: 5, 172069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 7, o: 1}. What is prob of sequence rr?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)\/((-1)\/(-2)). Suppose 0 = -5*c - 3*r + 33, 2*r + 8 = 2*c - p*r. Solve -24 - c = 5*v + 5*a, 4*a = 4*v + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 173880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3699*i - 7401. Calculate p(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2 + 3. Let o(z) = 3*z**2 + 1. Let q(c) = -2*b(c) + 5*o(c). Let s be q(-1). Suppose 2*w**2 - 25*w - 2*w**s + 4*w**3 + 21*w = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48806308 a multiple of 1678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 189\/4. Let y(f) = -7*f**3 - f - 1. Let c be y(-1). Let k = c + -9. Sort 0.5, v, k.\nAnswer: k, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + c**2 - 6*c**2)*(0 + 1 - 1 + 12*c).\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110220 + -2020?\nAnswer: -120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1808 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-42) - (-7 - (-160)\/24)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = 5*t. Is -2 - (-1 + t)*4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -2aa4?\nAnswer: -2aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55.8, 0.3, -1, 6, -2\/13, 1\/2 in increasing order.\nAnswer: -1, -2\/13, 0.3, 1\/2, 6, 55.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*a - 143, -4*a + 106 = -3*i - 0*i. Let r = i - -439. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 169\/9 - 6\/(-27). Suppose -16 = -4*z - g, -2*z - g = 3*z - t. Let a = -3441 + 3462. Calculate the lowest common multiple of a and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 318*x - 294*x - 2 - 5)*(2*x + 2*x + 3*x)*(-3*x - 10*x + 5*x).\nAnswer: -1344*x**3 + 392*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32308645, 32308644, 32308643?\n\"Answer: -k + 32308646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213944146451512*a**2 + 0*a + 3*a**3 + 213944146451512*a**2 + 0*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72834842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*c - 171 = -84*c. Calculate the smallest common multiple of 2 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 185 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by -2\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 41148 - 41148.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (1530\/360)\/((-1)\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7249*a**3*q + 32*a**3 - 2*a**2*q + 53*a**2 + 151*a*q + 1110*a - 78*q + 2 wrt a.\nAnswer: 43494*a*q + 192*a - 4*q + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -u + 4*y, 0 = 4*u - 3*y + y - 104. Let i = -60 + 72. What is the greatest common factor of i and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -193*c**2 + 4*c. Let r(p) = -129*p**2 + 3*p. Let v(q) = -5*m(q) + 7*r(q). Let j = 4 - 3. What are the prime factors of v(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1267 - -1257. Which is greater: -46\/5 or h?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from bhqqhhughqhhgug.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/78909 - -282652043\/394545. Let y = o + -711. Find d, given that -2\/5*d**4 - 81\/5*d - y - 19\/5*d**3 - 63\/5*d**2 = 0.\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:30 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 298902?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 + 28*u**2 - 31172*u + 280461. Determine d(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22273, 44541, 66805, 89065, 111321, 133573?\n\"Answer: -2*x**2 + 22274*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -1a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -11, 32, 119, 262, 473, 764?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 58452012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 8*c. Let o(u) = -u**2 - 1. Let g(k) = 3*o(k) + v(k). What is the lowest common multiple of 16 and g(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12503 - -31?\nAnswer: -12442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 710*l**3*r + l**2*r + 683*l**2 + r wrt l?\nAnswer: 4260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 26 - 1027*m**2 + 4 + 1029*m**2 to the form y*m**3 + p + b*m + h*m**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {p: 1, w: 1, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4477 (base 8) in base 6?\nAnswer: 14543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022002011 + -10?\nAnswer: 1022002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28181, 56972, 85763, 114554?\nAnswer: 143345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. What is the common denominator of -43\/6 and (22 - z - -1) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/4*-1*(-8)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0546 + 0.06. What is b rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-28) + 30\/35. Solve -9 = -2*l - b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - v + 0*v. Suppose -10 = -4*s - s. Let l(n) = 2*n + 2. Let c(a) = -a**2 - a - 1. Let t(z) = s*c(z) + l(z). What is t(x(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1*(-98)\/(10 - 3). What is the greatest common factor of 56 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/(-630)*-3*((-2199)\/(-522) - 4) and 39.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/502008 and -77\/115848.\nAnswer: 1506024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 8, d: 5}. What is prob of sequence roo?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -578, -828?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1871858, 3, 2 in descending order.\nAnswer: 1871858, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.4 + 8.28. Which is the second smallest value? (a) 4\/5 (b) 2\/7 (c) o (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.81395 to 1 decimal place.\nAnswer: -170.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1*-1 + 0. Let u = 176 + -169. Let y(a) = 3*a**2 + 7*a**2 - u*a**r. Let h(m) = -11*m. Determine y(h(o)).\nAnswer: 363*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 96 = 193 + 583. Which is the closest to 0.3? (a) -1\/8 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4706*h + 18827. What is d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -24*s + 448*a - 451*a, s - 4*a - 16 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b. Let t(l) = -264*l**2 - 1. Give t(n(c)).\nAnswer: -4224*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15903 and 352241.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -2\/5 (c) 5\/4 (d) 2\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7.3. Let d be 3\/10*-4 - -1. Let z(u) = -4*u - 209. Let t be z(-52). Sort -1\/2, t, v, d.\nAnswer: t, -1\/2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 - 9 = 0. Let t(z) = z**2 - 3*z + 8. Let j be t(x). Let s = -103\/4 + j. What is the nearest to 0.1 in -5, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f. Let y(q) be the first derivative of -5*q**4\/24 - 3*q**2 + 3. Let u(x) be the second derivative of y(x). Calculate p(u(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 84*p + 972. Calculate the remainder when 67 is divided by v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l + 324*l - 2*l**3 + 78*l**2 - 5*l = 0. Calculate l.\nAnswer: -3, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/2160 and 53\/211248.\nAnswer: 1056240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4813391 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y. Suppose -t = -2*k - 35, -5*t + y*k - 4*k = -175. What is the remainder when t is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-745)\/(-240) + 0 + -3. Let s = 77\/1200 - r. Are s and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**12\/g*g*g**(-2))**(10\/9)*((g**(-4))**15)**(-23\/4) assuming g is positive.\nAnswer: g**(3215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9559018, 9559014, 9559010, 9559006?\nAnswer: 9559002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k - 27. Let j(c) = -c + 1. Let n(v) = 3*j(v) - q(v). Let m be n(-2). Let l = -186 - -330. What is the highest common divisor of m and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 19. Let w(j) = -i*j + 18*j - 13*j. Let b(q) be the first derivative of -2*q**3 - 1. Give b(w(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 28 - (1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3470 + 7382. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -38. Let g = -25 + v. Suppose -w + 5*w = 116. Calculate the remainder when w is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -524330*m**2 - 45*m + 19.\nAnswer: -1048660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41708 - 166835\/4. Which is the fourth biggest value? (a) 2 (b) 2\/15 (c) -1.7 (d) t (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1096, 1097, 1112, 1147, 1208, 1301, 1432?\n\"Answer: h**3 + h**2 - 9*h + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094786 rounded to 3 decimal places?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -332?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 15) to base 13.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5626392 is divided by 1125228.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 26*z - 35877. Does 47 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**8\/16 - 13*k**7\/210 - 11*k**6\/40 + 17*k**5\/60 + k**4\/2 - 2*k**3\/3 - 4*k**2. Determine y, given that i(y) = 0.\nAnswer: -1, -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 431861831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -3973\nAnswer: -15892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 11*m**2 - m**2 - 5 - 13*m + 8*m**2. What is v(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.2126585 and -34564?\nAnswer: 34575.2126585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -271, 3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -2. Let u be 16\/(-6)*p\/20. Suppose -u*f = -3*f - 51. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/5, 0.3, -115, -5, -6 in increasing order.\nAnswer: -115, -6, -5, -0.2, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/139 or -1?\nAnswer: 17\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 3*a + 2. Let c be o(2). Let z be 8\/(-10)*(-45)\/(-18). What is the units digit of 126\/c*z\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 12*o**2 - 12*o + 3. What is the units digit of l(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-108))\/(7\/(-714)*1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/4)*o**(-3)*o**(-3)\/(o*o\/(o*o**0))*o**(-2\/3)*(o**(4\/5)\/o)\/o*(o\/o**(3\/5))\/o**(-5) assuming o is positive.\nAnswer: o**(-133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.2, 0.4, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 4*s**2 + s - 19 + 5*s**2.\nAnswer: s**2 + s - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-10)\/45*-2*3. Suppose -c + j + 28 = -l*c, -4*j = 4*c + 48. Suppose 0 = 3*u - 0*u + 21. Is c at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -acbc8b0 + 3?\nAnswer: -acbc8ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5*1 - (-11 - -7)) + 1. Solve 3*n - 4 = n + 4*z, -y = -5*n - 5*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ea058 (base 16) to base 15.\nAnswer: -56113a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 8*r + 6. Let d = -10 - -8. Let l(f) = -2*f + 3. Let q be l(5). Let z(w) = -6*w**2 + 24*w - 17. Let k(h) = d*z(h) + q*c(h). Factor k(p).\nAnswer: -2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4180 a factor of 327469560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Let j(r) = -114*r. Determine d(j(v)).\nAnswer: -114*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 806 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*o - 5*x, 3*o - 3*x = 2*x - 29 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12213 - 9484 = -13*z. What are the prime factors of z?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.075647 + -0.82026779\nAnswer: -0.89591479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 124*n**3\/3 - 6316*n**2\/3 - 136*n = 0. Calculate n.\nAnswer: -2\/31, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:26 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1819071 - -5.\nAnswer: 1819076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2108*x**2 - 7*x + 134342.\nAnswer: -4216*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - -2) + -8 + (1 - (5 + -4)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 35. Suppose 4*g - 61 = 5*q, g + q - 14 = c*q. Solve 6 = 5*y - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.08722427 rounded to three decimal places?\nAnswer: -15.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Suppose 7*t = 4*t + 30. Let c be 54\/t + 6\/(-15). Let r(m) = -c*m + 6*m - 2*m. Give r(x(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*r + 37*r - 52*r)*(-r**2 - 3*r**2 - 3*r**2).\nAnswer: -1309*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:00 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:17 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 368072 - 171153394\/465. What is the common denominator of t and 13\/33?\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1947, -1933, -1901, -1845, -1759, -1637, -1473, -1261?\n\"Answer: h**3 + 3*h**2 - 2*h - 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4655.232ml in litres?\nAnswer: 4.655232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -18*s**3 + 15*s**2 + 14*s. Determine j(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -11. Let k = -11 + r. What is the smallest value in -1, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 245137470 or 245137469?\nAnswer: 245137470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 39 = -2*g - 2*g, 4*g - 38 = -2*c. Solve 3*h + 3*d = d - 15, 2*h - g = 5*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 496, 424, 324, 196, 40?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 2*q + 3. Determine r(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 99357480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4148\/36 - 22\/99?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-173 - (-112 + 120)) + 99.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = 3*r. Let x be 3\/r - 20\/(-14). Let s = -14\/3 - -13\/3. Sort x, 2\/5, s.\nAnswer: s, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 17. Let q be g(12). Let d = 3 - 3. Let j = d - q. What is the nearest to 2 in j, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*q - 23 + 303 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -71311000 to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/70*7\/(-54 - -5). Let d = -38.4 - -42. Which is the third smallest value? (a) d (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1125)\/(-15) + (-2 - -5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6287, -23423, -51411, -90251?\nAnswer: -139943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1853 is divided by 207.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*((l\/(l**(2\/3)*l))\/l)\/l))**30*l**(-1\/4)\/(l*l**(-1\/6)*l))\/((l*l**(1\/9))\/((l\/l**(-1\/3))\/l)*l**7*l**(-7)) assuming l is positive.\nAnswer: l**(2777\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -34. Find the second derivative of -15 + 15*d + 6 - 5*d**2 + u wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/15)\/(2496\/936). Let o(n) = n**2 - 3*n - 5. Let u be o(4). Which is the nearest to u? (a) -0.04 (b) -2 (c) 1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 - 16*t + 45. Let o be f(8). Is o equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532237 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 349, 519, 687, 853, 1017, 1179?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -238, -987, -2236, -3985, -6234, -8983, -12232?\n\"Answer: -250*l**2 + l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*t + 107*t = -2352. What is the greatest common factor of t and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 7:10 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -457 - -457. Suppose d = -3*w + 3*b + 348, -3 = 6*b - 5*b. What is the remainder when w is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193 - -190. Let s be (4\/10)\/(27\/(-30)). Put v, -5\/4, s in decreasing order.\nAnswer: s, -5\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1053)*-2.\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10357 - -15214. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*s - 1, 5*s + 620*h = 617*h + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 3*j + 3. Let x(g) be the second derivative of -2*g**2 - 1\/12*g**4 + 0 - 2*g + 2\/3*g**3. Give -3*x(q) - 4*y(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*w = 290 - 250, -2*r - 288 = -36*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q**2 + 10*q - 11. Determine p(6).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171506047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*r + 5*f, 5*r + 3*f = -15 + 5. Suppose -z - 9 = 2*z, 4*z = 4*g + 4. Put r, 2, -1, g in increasing order.\nAnswer: g, -1, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1646 + -1634. Solve -13*m + g = -16*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 429?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 96, -2829218*f - 30 = -2*r - 2829219*f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000151186445 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by -4\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n - 2*s - 42, 4*s + 4 = -2*n. What is the highest common divisor of n and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 - 282*b - 280 = 0. What is b?\nAnswer: -140, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(1 + (-1 - 1)). Suppose 69 = d - g. Let i be d\/(-35) + 3\/5. Is i at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-35) + (-6)\/10. Let y = k + -2. Sort -1, -4, y in descending order.\nAnswer: -1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 + 1)*(-1 - b**2 + 1)*(-3*b**2 - 1 + 1).\nAnswer: -33*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let b(y) = 3 - 2 - y - o. Let m(z) be the second derivative of z**3\/2 - 6*z. Calculate m(b(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2734, 6006, 9278, 12550, 15822, 19094?\n\"Answer: 3272*m - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46069 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2357841 + 34?\nAnswer: 2357875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39072\/475 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/((-3)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 293? (a) 1\/6 (b) 0.3 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 9*c - 15. What is k(-7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose -5*u = -a*u - 40. Let j = 31 - u. Calculate the least common multiple of 7 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 12*u - 20. What is l(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 3*b + b)*(b**2 - 2*b**2 + 2*b**2) + 0*b**3 + b**3 + b**3 + 1 - 2*b**3 - 1 + 1656*b + 65*b**3 - 1656*b.\nAnswer: 64*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 5*p - 17, 0*w = -w + 3*p + 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 290\/30 - (-11)\/(-51)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*n + 994 + 134070 + 51696 = 1709*n for n.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-20)\/24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 7746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(180) - (sqrt(180) + 1)) + 1 + -5)**2.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 4*g**2 + 2*g - 2. Let l be n(-2). Suppose 0 = 72*a - 74*a + 8. Put -5, a, l in descending order.\nAnswer: a, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 57*b**2 + 13232*b + 53805. What is r(-228)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((5 - (10 + -15)) + 3 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10608 + 10388.6. Round i to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.38 - 15?\nAnswer: -9.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12741 + -12743. Let q(v) = -v**3 + v - 1. Let s be q(-2). Which is the closest to x? (a) 1\/3 (b) s (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 4 + 4)*(4*l**2 + 2*l**2 + 0*l**2) + 0*l**5 - 4*l**5 + 6*l**5.\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 30131?\nAnswer: -30200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 14 = -3*q, -a + 2 = q - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t. Let d(y) = 7*y. Let c(h) = 2*d(h) - 5*s(h). Let q(j) = 2*j. Let r(v) = 4*v. Let i(x) = 3*q(x) - 2*r(x). What is c(i(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1. Suppose 6*y - s = y + 66, y - 4*s + 2 = 0. Let v(o) = -o + 9. Let f be v(y). Let u(b) = -b - 7. Let i = -49 - -84. Calculate f*u(c) + i*k(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(7*(-16)\/56).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:59 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*z = -4, -3*w - 5*z + 3*z - 22 = 0. Let t be 0 + -2 - 2*(7 - 4). Let v = t - w. Solve v = b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60245088?\nAnswer: 2, 3, 757, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45418*z**4 + 78*z - 89?\nAnswer: 545016*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -20407.7 (c) 2 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z = -220 - 241 - 178. Let x(y) = 4*y - 84. Determine x(z).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -138. Let s = 295 - 252. Let h = -44 + s. Is h < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8658512 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*a + 76, -5*i - a = -162 - 16. Let r be 4\/(-10) - (-84)\/i. Let c be 1*(41 - r)\/3. Calculate the highest common factor of 26 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1308006 divided by 13347.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -4368, -10535, -19168, -30267, -43832?\nAnswer: -59863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -780901\nAnswer: -25\/780901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-307 - -10)*-12. Let m = -2 + 2.1. Let l = -3.1 + m. What is the second smallest value in -0.1, u, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from txttxtttxt.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40189715, -80379426, -120569143, -160758866?\n\"Answer: -3*h**2 - 40189702*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1101100111100?\nAnswer: -1101101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036127 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {o: 2, u: 2, f: 4, r: 3, a: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 10 = 2*l, -y + 59*l = 58*l - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*t**2 + 5*t**2 + 16*t**2 + (-t - 2*t + 4*t)*(t - 2*t + 2*t) + 3 - 3 - 2*t**2)*(-23 + 23 + 8*t) to the form k*t**3 + c*t**2 + n + b*t and give k.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 405189360 rounded to the nearest 100000?\nAnswer: 405200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*m - 2*g - 2*g, -2*m - 4 = -2*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2426 is divided by 268?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let t(r) = -3*r**2 - 5. Let j(d) = 4*d**2 + 7. Suppose -4*x - 5*h + 40 = 0, -h + 6 = 2*x - 8. Let l(f) = x*j(f) + 7*t(f). Give l(s(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9*b = -720. Suppose -44*k**3 + 17*k - 3 + 5 + 4*k**4 - 81*k - 258 + b*k**2 = 0. What is k?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d - 232*d + 51*d + 57*d + 63*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 1. Let u(w) = -12*w + 54. Let x(h) = -4*j(h) + u(h). Let m be x(6). Solve -5*c = m*a - 8, 4*a - a - 12 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgbggbgbbgbb. What is prob of sequence bbgg?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2585 by 517.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4007538 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 116880?\nAnswer: 116880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -100. Let o = -3.9 - -4. Which is the nearest to o? (a) s (b) -1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1213813450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349534 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1759 * 0.029\nAnswer: -51.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5745.08143 + 5745. What is p rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3411 - -3407. What is the closest to -2\/3 in -2, 1, a, 4\/119?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + 2*s**2 - 5*s**2 + 3*s**2.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 2*k - 5 - 1, 2*k = r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**8\/960 - z**6\/48 - 11*z**5\/30 + 25*z**2. Let o(m) be the third derivative of u(m). What is the derivative of o(d) wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 - 168*h + 723. Give g(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 7 - 36 = -16*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**4\/8 - 8*u**2. Give j(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by (266\/(-63) - (-10)\/45) + 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4 + 2*sqrt(605) - (sqrt(605) + (0 + sqrt(605) + sqrt(605) - sqrt(605)))*-6))**2 + 3.\nAnswer: -1848*sqrt(5) + 118619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = -3*s + 36*s. Let l(r) = 45*r**2 - 12 - s + 9*r**2 + 22. Let y(c) = -3*c. Determine y(l(g)).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.037 (b) -0.1 (c) -0.02 (d) 1\/4 (e) -4 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 13169353.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/20 + (-3)\/4. Let k be -1 - (-3 - 0)\/z. Solve -6*u + 2*n + 18 = -k*u, -15 = 5*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/50 and 3\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3 + 1 - 5 + 2 + (-3 + 2 + 2)*(-3 + 3 - 1) - 2 - 1 + 1 + 3 + 0 - 4)*(3138 - 1600 - 1541 - 849*c) in the form g*c + p and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 11:47 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6481614 (base 10) to base 14.\nAnswer: -c0a166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/8 - 2*m**2. Let q(p) be the first derivative of -2*p**3\/3 - 2. Give q(w(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k. Let m(x) = 6290*x. Give g(m(c)).\nAnswer: 37740*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + (-112)\/60 + 8696\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.5 (b) -1\/7 (c) 1\/8 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 56. Let k be 771\/i - (-2)\/7. Let c = k - -27. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -17. Let g(l) = -776*l - 48. What is g(u) - 3*n(u)?\nAnswer: -776*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 0*v - 84 = 0. Suppose 7*c - 21 = v. Suppose 16 = 2*j + 2*j. Solve -2*z - 1 = w, -1 + c = j*w + 4*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 12*c**2 - 21 + (-2*c - 3*c + 7*c)*(-2*c + 5*c - 2*c))*(c - 1 - 2 + 0).\nAnswer: 14*c**3 - 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 1, d: 1, b: 2, j: 9, a: 2}. Give prob of picking 1 j and 2 b.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiuu when four letters picked without replacement from {f: 4, u: 3, i: 6, q: 4, e: 1, l: 2}?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 519683, 2078788, 4677293, 8315198?\n\"Answer: 519700*k**2 + 5*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -964, 1 in increasing order.\nAnswer: -964, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnh when three letters picked without replacement from {s: 1, h: 2, m: 1, n: 2, d: 2, r: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 4*b**2 + 3*b - 4. Let t(q) = -q**3 + q**2 + 1. Let i(d) = k(d) + 3*t(d). Let w = -7 - -4. List the prime factors of i(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 487114 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 760*y - 8. Let r(s) = -3*s**2 + 2283*s + 23. What is 6*r(p) + 17*w(p)?\nAnswer: -p**2 + 778*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*159.2.\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/5 and -53\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*a = 11 + 3, 2*h - 3*a - 3 = 0. Suppose 0 = h*n + 2*r + 24, -3*n - 44 = 2*n + 2*r. Let q = 16 + -11. Put q, n, 3 in decreasing order.\nAnswer: q, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 975025928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 27 = -5*p + 2*p, -2*p - 1 = -3*z. Suppose -5*b + 2*w + 52 = 3*w, w + 28 = 3*b. Calculate the lowest common multiple of p and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + 16. Let m(y) = -27*y - 30*y - y**2 - 11 + 3*y**2 + r*y. What are the prime factors of m(9)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209572*g**5\/3 + 76450*g**4\/3 + 831272*g**3\/3 - 305792*g**2\/3 + 28064*g\/3 - 32\/3 = 0. What is g?\nAnswer: -2, 1\/866, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30103 (base 14) to base 12.\nAnswer: 56987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2946891, -2946874, -2946857, -2946840, -2946823, -2946806?\nAnswer: -2946789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387298857 to the nearest integer?\nAnswer: 19680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12020 and 8900.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + -100?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*t**2 + 5*t**5 - 9*t**5 - 18*t**3 - 29*t**3 + 35*t**2 + 5*t**5 wrt t?\nAnswer: 60*t**2 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 4) - (-37 + 31 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:03 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.25772 + 0.25772. Which is the nearest to n? (a) 5\/227 (b) 0.3 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Find the third derivative of -2*k**f + 7*k**4 - 6*k**2 + 4*k**2 wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwgkwwkqgkq. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {h: 3, j: 3, m: 6, t: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-4) + 4\/8. Let q = -117\/10 + 23\/2. Which is the biggest value? (a) 5 (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 157. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q + 3*r + 4, 2*r = -4*q + 2. Let w = -3 + 5. Suppose -3*x = -w*x. Solve -q*b + x*b = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 + 8. Suppose v - 5*q - 35 = 6*v, -20 = 3*v + 2*q. Let d(l) = 1. Let i = -3 - -4. Calculate i*c(j) + v*d(j).\nAnswer: j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94088540 divided by -790660.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1809*b = 1823*b + 308 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.69 - 16. Let u = -0.3099929 - b. Round u to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-41))\/v**(-1\/20)*((v**(-17)\/v)\/v)**(8\/7) assuming v is positive.\nAnswer: v**(2847\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - 4*n**2)*(-67 + 7 - 16)*(-n**2 + 2*n**3 + n**2 + (-6 - 2 + 3)*(3*n**3 - 2*n**3 + 0*n**3)).\nAnswer: -228*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-8316)\/(-9))\/(-924))\/(((-43)\/2)\/((-2)\/(-4)))\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/471580 and -87\/277400?\nAnswer: 4715800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-4) + -3 - 1\/(-6). Sort 1\/3, -4, c.\nAnswer: -4, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 r when four letters picked without replacement from yqyrrqqyyqyqqqyrq.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83082 - 62910 = -42*v. What are the prime factors of v?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1651 = -12*c. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d6a (base 14) in base 4?\nAnswer: 221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 27\/23, 0.5, 1, 343?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:46 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3928 and 8347?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d - 12*d + 3*d**2 + d**2 wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-8) + (-98)\/44. Let v = -169\/66 - l. Is v at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00235845 rounded to 5 dps?\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:21 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02151784 rounded to 4 decimal places?\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*u + 10, 17 + 18 = 5*u + 5*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 0. Let q(n) = 4*n**2 + 2*n + 1. Let d be q(-1). Suppose 2*i + 4*p = -16, d*i - p - 8 = 3. Solve z = -2*r - 3 - j, 2*r + 2*z + i = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 249, 264, 295, 348, 429, 544?\n\"Answer: f**3 + 2*f**2 + 2*f + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043563 rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000800091 to 5 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 899*a + 69924. Determine s(-813).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 3*g + 14, 0 = 5*k - 3*g - 82. Suppose -24 = k*v - 9*v. Suppose 0 = -2*s - 3*b, 5*b + 1 = -2*s - 3. Put s, -2, v in ascending order.\nAnswer: v, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 133?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 + 1.4. Let u = 0.8 - r. Let k = 3 - u. Put -4, k, 2 in descending order.\nAnswer: 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -k - 8, -2*l + k = -0*l - 5. Sort l, 9, -2.\nAnswer: -2, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1076 - 1073. Let n(j) be the second derivative of 0 - 1\/6*j**o + 5\/16*j**4 + 13*j - 1\/2*j**2. What is r in n(r) = 0?\nAnswer: -2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y - 2*y + 0*y)*(12*y - 11 + 11)*(-4*y + y + y) in the form a*y**3 + q*y + w*y**2 + r and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3772\/11 - 20993\/66. What is the common denominator of u and 46\/37?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 337 + 193. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6721839 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (13 + 1 + -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 9 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -72+8.266343559\nAnswer: -63.733656441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/67 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2466 = 2*u, 3*h + u - 900 - 573 = 0. What are the prime factors of h?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from uuktuktkuuuku?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -38.5.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 15. Suppose z*l = l. Suppose 4*q - 8 + l = 0. Solve 5*c = -3 - q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60, 78, 418, 960, 1704, 2650?\n\"Answer: 101*i**2 - 165*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 20*s - 5*s**2 - 20*s. Let n(a) be the third derivative of a**5\/30 - 2*a**2. What is n(v(k))?\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**2 + a - 1. Is m(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 5, 12, 0, -187.79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-18939642)\/(-2461) - (-2 - (-88)\/46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165274 is divided by 23579?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 m when three letters picked without replacement from {m: 3, n: 1, y: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {f: 1, b: 5, y: 3, n: 5, h: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 57*n + 2577. What is the least common multiple of v(-39) and 22?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 82890.48 decades?\nAnswer: 828904.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 630 and 1995?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22386*m**2*o - 90888*m**2 + 10*m*o**2 - 3 wrt o.\nAnswer: -22386*m**2 + 20*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 618657 and 2639.\nAnswer: 4330599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/6390 and 121\/530?\nAnswer: 338670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28.161 from 3.\nAnswer: -25.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30469*q**2 + 64090*q**2 + 1942*q + 60*q**3 - 23815*q + 3366 = 0. What is q?\nAnswer: -561, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1557 divide 379213195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -179386+63101\nAnswer: -116285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4336, -17206, -38640, -68638, -107200, -154326?\nAnswer: -210016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104172*y + 86673?\nAnswer: 104172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.00856 * -4054\nAnswer: 34.70224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 51. Let v be t(-24). Let w(x) = x**2 - 6. Let l be w(v). Solve l*p + 4 = -c, -2*p - 5 = 5*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 31349*p**2 + 63358*p**2 - 30063*p**2 to the form w*p + t*p**2 + c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.01, 1, -12, -18, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -10)*140\/(-8). Let u = 116 - o. Let j = u - -59. Solve x - 5*x = j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.07, 0.1, -1\/5, 13\/5, 0.31?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 9*h + 4. Let s be g(6). What is the highest common divisor of s and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 40*j**2 + 7402*j - 154626. What is k(-204)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 3572699.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p + 10. Suppose 3*o = 5*o - 2. Let r = 1 - o. Determine n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g + 234. Let b = 196 - g. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 15. Suppose 0 = -3*b + 2*b + 12*b. Solve b = q*z + 4*p + 16 + 13, -2*p - 13 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c + 4. Let s = c - 4. Let q(k) = -457*k - 7. Let l(g) = -366*g - 7. Let w(n) = 5*l(n) - 4*q(n). Calculate w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Let q be 8 + (-5 - (1 - 3)). Let k(t) = 7*t - 5. Let y(i) = -10*i + 7. Let f(s) = q*y(s) + 7*k(s). Give -13*f(o) + 6*u(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1792 and 7504.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**21*n**(-12))**(3\/2) assuming n is positive.\nAnswer: n**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3232 and 320?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 519*h - 405. Let z be g(1). What is the highest common factor of z and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4 + z**3\/3 - 1. Suppose -3*r - r - 2*v = 12, -8 = 2*v. What is the units digit of g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15157 is divided by 107.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -694821 or -694875?\nAnswer: -694821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8 - 4. Find the first derivative of -f + 2*t + 2*t + 0*t + 4 wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1764834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 9:55 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*s**2 - 105 + 274*s**3 - 290*s**3 + 132*s**2 + 24 to n + o*s**3 + k*s**2 + h*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 169088? (a) -5 (b) -1.7 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 117993*y**2. Let n(a) = -19*a. Give r(n(q)).\nAnswer: 42595473*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9*l**2 - l - 1. Suppose 0*k = 4*k + 8. Let v be r(k). Round v to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00452511839 rounded to 6 dps?\nAnswer: 0.004525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 3*y - 2*y**3)*(-y + 4*y - 6*y + (-3 + 19 - 4)*(159 - 80 - 3*y - 82)) to x*y**2 + s*y + b + n*y**4 + v*y**3 and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20615 != 0.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 700265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3826, -7650, -11474?\nAnswer: -15298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 17, -4.\nAnswer: -13, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -4*k**3\/3 - 3*k**2\/2 - 313. Let g(w) = 3*w**2 + 2*w. Let x = 7 + -5. Calculate x*r(c) + 3*g(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-35)\/14 + 1)\/((-3)\/(-4)). Let i be (((-18)\/5)\/9)\/(c\/20). Factor 8*a - 5*a**i - 10*a**3 + 5*a**2 + 10*a - 9*a + a.\nAnswer: -5*a*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:30 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (476\/102)\/(((-16)\/(-12))\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 31 - (6\/16 + 2520\/(-576)). Let b(z) = -z**3 - 24*z**2 + 146*z + 24. Give b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97b (base 14) to base 13.\nAnswer: -b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m + 33. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4398969*p**2 + 3725357*p + 2 wrt p.\nAnswer: 8797938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 15*r - 24. Let j(g) = -g**2 + 5*g + 8. Let p(k) = -6*h(k) - 17*j(k). Let f be p(6). What is the second smallest value in -3, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*l - 264*l + 63*l + 282*l**2 + 246*l + 46*l**2 wrt l.\nAnswer: 656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.93 rounded to zero dps?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-5) - -1)*(32240\/546 - 60). Let q be (15\/14 + -1)*4. Factor a*y - q*y**2 - 2\/7.\nAnswer: -2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 4:25 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.044294168\nAnswer: 0.177176672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01293011510964 take away -6.2?\nAnswer: 6.18706988489036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/15 + 5*l**4\/3 - 22*l**3\/3 - 2*l**2 - 1. Factor j(w).\nAnswer: 4*(w - 1)*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-9))\/2)\/((-1456)\/(-2184))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1097136*y**4 - 9*y**2 + 87833 wrt y.\nAnswer: -26331264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1644*w - 36 = 1643*w. Calculate the lowest common multiple of 153 and w.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386 + -2463. Are j and -2077 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)\/q**(-6))\/(q**3*q**(-1)\/q) assuming q is positive.\nAnswer: q**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 178468, 3, -6\/47?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 6 - ((-3)\/5 + (-4)\/10). Solve 16*n - x = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3888700 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/50841987 and -31\/2421047.\nAnswer: 50841987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - 4*r = 156, 2*r = -5*v + 342. Let x = -20 + v. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2 - 4*w + 7. Let n be i(5). Let u = -168 + n. Calculate the remainder when 35 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 3422143?\nAnswer: -3422233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 721, 113, 4 in decreasing order.\nAnswer: 721, 113, 4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 + 2*j**2 - 1. Let b be v(1). Let o = 168 + -388. Let r be (-1*(-2)\/b)\/(o\/(-176)). What is the nearest to 1\/6 in r, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 2*h**2 + 2*h. Let g be (-3)\/(-2)*2*7. Suppose 5*y + g - 36 = 0. Let x(z) = -3*z + 2*z - z**3 + 3*z**2 + 3*z. Give y*o(t) - 2*x(t).\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 6*h - 10*h)*(0*h**2 + 2*h**2 - 3*h**2 + (2*h**2 - h**2 - 3*h**2)*(1 - 2 + 3) - 3 + 3 - h**2 + 116 + 13*h**2 - 10*h**2 - 5*h**2).\nAnswer: -48*h**3 + 696*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -41*y - 97. Calculate n(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.624656650686 - -0.3?\nAnswer: 47.924656650686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*m + 5*x, -5*m - 7*x = -2*x + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*b + 172 - 143 = 0, 0 = -s - 17*b - 55 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 - g + 1. Let k be j(1). Let t = 2 - k. Let d = 7 + t. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230668 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 763650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 2. Let b(u) = -12*u**2 - 3*u - 8. Give b(g) + 3*p(g).\nAnswer: -12*g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Suppose -4*l + 10 = -x*l. Suppose c - 2*t - 21 = -4*t, l*c - 94 = t. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 3*l + 3. Let h(d) = 15*d**2 + 25*d + 25. Let a(q) = 3*h(q) - 25*n(q). Let x(z) = z - 1 + 1 - 2*z. Determine a(x(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and 3333?\nAnswer: 66660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + 201132042?\nAnswer: 201131433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195115666 and 579?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.049, -0.9, 48 in decreasing order.\nAnswer: 48, 10, 0.049, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -192\/7, -1 in increasing order.\nAnswer: -192\/7, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141224632 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 - 754*k**4 - 6685*k**3 + 15008*k**2 + 80540*k + 59600 = 0. What is k?\nAnswer: -745, -10, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 97 = 109. Let f = -12 - -13. Let x = 5.8 + -6. Which is the closest to x? (a) -4 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 1548.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 46. Let u = a - -21.034. Round u to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455592 by -133.\nAnswer: 455592\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**2 + 337*o - 12. Give h(-28).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)**(3\/31))**(2\/29)*(z**(2\/5)\/z)**(1\/19)*z**(-4\/9)\/z*z*z**(-2) assuming z is positive.\nAnswer: z**(-1892923\/768645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792038406 to the power of 1\/3, to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 12 = 13 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + t + 20, 4*h - 32 = -0*h + 4*t. Let c(y) = -y - 2. Let a be c(-4). Suppose h*d = a*d + 16. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 3 (c) -4 (d) -7 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 = -3*q, 0*q = -5*s + 4*q - 2. Let n be s + 196\/10 + 0. Let t = -17 + n. Which is the third biggest value? (a) t (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + w**2 - 5 - 2*w**2 + 6. Let j(y) = y**2 - 1. Let s(p) = j(p) - k(p). Let u = 9 - 12. What is s(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*-6 - 1. Suppose -5*q + 274 = 24. Suppose t*y = -3*y + q. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from fffyyffff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ca853 (base 14) in base 12?\nAnswer: 1b7735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.098 (b) 0.144 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3850, 2\/5, 1\/2, 3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 63672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4270 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201111210 + -222102?\nAnswer: -2202111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/95 or 0?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*(-2*sqrt(209) - sqrt(209)) + sqrt(209)*2*5 + sqrt(209)))\/(((sqrt(121)*1)\/sqrt(11) - sqrt(11)) + sqrt(22)\/(-1*sqrt(2))).\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1241 - 3728\/3. Which is the nearest to 0.3? (a) 12\/19 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -60, -98, -142, -192, -248?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3666726927*z**3 - 4*z + 3666726865*z**3 + 4*z.\nAnswer: -62*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 46. Give c(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:08 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 + 61*n**3 + 34*n - 63*n**3 + 4*n**2 - 7*n**4 + 23*n + 1 to the form w*n**2 + i*n**3 + o + k*n**4 + l*n and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 4 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85673510 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1210 and 1452.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -12\/7, -173, 6, 25\/8?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**2\/f)\/f)**(5\/7)*f\/(f*(f*f**10)\/f*f)*f*f**(-11)\/f assuming f is positive.\nAnswer: f**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8166959.\nAnswer: 8166959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.006 + 0.006. Put f, -0.08, 1.1 in decreasing order.\nAnswer: 1.1, -0.08, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**8)**24*(u*u*u**(-16)*u)**(-3\/47))**(-47) assuming u is positive.\nAnswer: u**(-10191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 358834571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**3\/2 - i. Let r(w) = -3*w**2. What is r(g(y))?\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 8*g**2 + 8*g + 9. Suppose -w - 15 = 2*l, -2*w = 3*l - 5*l + 6. Give y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1424+-0.1\nAnswer: -1424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762845.\nAnswer: 3, 5, 7, 103, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30046018019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 643547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 1067*n - 31992. Give x(29).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*p**2 - 293*p**2 + 11*p + 157*p**2 wrt p.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 7*q**2 + q - 4. Is 17 a factor of z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/3 - 4*c**3\/3 + c**2\/3 + 2*c = 0. What is c?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1 - -1) + 2 + -2)\/(-4). What is the common denominator of ((-2)\/(-40) - x)\/(2\/185) and -3\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2853008\/5 less than -570601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 7478.\nAnswer: 2243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38509*t**3 + 30*t**2 + 13*t - 44792157 wrt t?\nAnswer: -115527*t**2 + 60*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*t + 4 = 0, 0 = 8*c - 26*c + 3*t - 64 + 139 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 8) + -7 + 6 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)*-1 - -3. Which is the closest to 0? (a) r (b) 0.03 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:57 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, 22, 67, 132, 223?\n\"Answer: l**3 + l**2 + 21*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7392 - 1545. Suppose -2*n = n - v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 3*c**4 - c**4 + 0*c**3 + (5*c**3 - c**3 + 2*c**3)*(1 - 1 - 2)*(-2 + 2 + 2*c).\nAnswer: -22*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/5 + (-2553)\/115 + 21?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 16 + 16)*(2 - 6 + 1)*(0*k**4 + 0*k**4 - 3*k**4).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 146 + -102. Suppose k = 2*q + 2*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 231. Suppose 1074 = 4*d + 2*o, 2*o = 3*d + r - 919. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 135 - 43)*(-5*t + 6*t + 2*t).\nAnswer: 210*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -3*v**4\/4 - 3*v**3\/2 - 10*v**2. Let l(a) = -a - 1. Let b(z) = -k(z) + 9*l(z). Let f(t) = 2*t**2. Determine f(b(j)).\nAnswer: 162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 533*g + 18125. Determine d(-34).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 2*b**2 - 3*b**3 + (2*b - 2*b**3 - 2*b)*(0 + 1 + 1))*(3*b + b**2 - 3*b + (3*b**2 - b**2 - 3*b**2)*(2 + 0 + 0) - 4*b**2 + 9*b**2 - 12*b**2).\nAnswer: 56*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 1 - 1)*(7 + 97 + 33) - 2*q - 3*q + 3*q)*(4*q - 3*q + 2*q).\nAnswer: -417*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1.34?\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + t + t)*(50 - 46 - 124)*(-63 + 223 + 316) to the form a*t + p and give a.\nAnswer: 114240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from rnlhrbrbrphllp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:05 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 11:56 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*d + 536, 87 = w - d - 49. Calculate the remainder when w is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8824232 is divided by 3590?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-1 - 0)) + 413 + -412 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-54)*((-35925)\/1700 + 21)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84725592 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 742.231 kilometers to micrometers.\nAnswer: 742231000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.5 + 4.2. Let z = -19 + h. Let i = -0.7000122 + z. What is i rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*q + 4*q + 11 = 0, -15 = -5*q. Let g = l - -9. Let f be g\/((-55)\/6)*(-15)\/(-45). What is the smallest value in -1\/3, 2\/13, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/5 + 11\/(-55) + 10. Let q(a) = -5*a**3 + 11*a**2 + 3*a - 20. Let z(f) = 11*f**3 - 22*f**2 - 7*f + 41. Let r(w) = d*q(w) + 4*z(w). Calculate r(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**6\/540 - p**5\/270 + p**2 - 1. Let u(l) be the second derivative of y(l). Determine a, given that u(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 + 434790*j\/7 + 15753528675\/7.\nAnswer: 3*(j + 72465)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3 + 5.3. Let d be 96\/(-8)*(-4)\/6. Put j, d, 2\/3 in decreasing order.\nAnswer: d, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*b**4 - 6084\/5 - 5773\/5*b**2 - 154\/5*b**3 + 12012\/5*b.\nAnswer: -(b - 1)**2*(b + 78)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*c**3*v**2*z**3 - c**3*v*z**2 - 22*c*v**3*z**3 - 12*c*v**3 + v*z**2 wrt z.\nAnswer: 72*c**3*v**2 - 132*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*k - 121375, 7*k - y - 40459 = 6*k. What is k rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 104794463.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.414716 + 7.91231465. Let i = z + 2.8024009. Let o = -1.3 + i. What is o rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 - 10 = 2*l. Suppose -3371*i + 3335*i = -324. Calculate the remainder when l is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366200064 divided by -635764.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2949 - -2957. Calculate the lowest common multiple of o and (-43)\/(-5) - (-4)\/10.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*m - 23 = -5*y, 3*m = -3. Suppose 0 = 2*u + y*l - 42, 3*u - 28 = -l + 35. Suppose -4*z - 149 = -5*g, 2*z = 2*g - 81 + u. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -2. Let c be 4\/h - 8\/20. Solve -4*r = -c*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1. Let i(u) = 2*u**3 - u**2 - 2*u + 10. Determine -i(f) - 3*r(f).\nAnswer: -2*f**3 + f**2 + 2*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmyyyk. Give prob of picking 1 y and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/(-20) - (-2)\/4. Suppose -59 - 16 = -v*q. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 - 8*p**2 + 3*p - 7. Let j(u) = -4*u**3 - 4*u**2 + 2*u - 4. What is 3*i(v) - 5*j(v)?\nAnswer: -v**3 - 4*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172954116?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15376365 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from ctnjjjjjtnnj.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b - 48*b = -48. Suppose -b = 5*a - 86. Calculate the remainder when (-2 + 1)\/((-2)\/104) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/175311 and -8\/56115.\nAnswer: 25420095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.059 in 0.5, 2, -5, 3, 74?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/11, 0.451, -4?\nAnswer: 0.451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*l**4 + 243*l**3 - 2057*l**2 + 3933*l.\nAnswer: -l*(l - 23)*(l - 9)*(7*l - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82\/5 - -18. Factor 0 + p*r**2 + 6\/5*r**3 + 2\/5*r.\nAnswer: 2*r*(r + 1)*(3*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010110011 - -101?\nAnswer: -1110010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 6*o + 3. Let k = 35 - 11. Suppose 3*l = -l + k. What is the units digit of b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -5*g - 6. Let d(m) = m**3 - 3*m**2 + 4. Let q be d(3). Calculate the highest common factor of q and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4 - 5*g + 3*g + 4*g. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 48*n = -52*n - 4, 24 = 2*l - 4*n. Let y = 4 - 2. Suppose -l*o = -6*o - y. Let x(g) = -15*g. Give x(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1811237, 1811231, 1811225, 1811219, 1811213, 1811207?\nAnswer: 1811201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112.6*80279.\nAnswer: -9039415.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9\/k**6)**(-42)\/(((k\/(k\/k**7))\/k**5)\/(k\/k**0*k*k)**(-1\/10)) assuming k is positive.\nAnswer: k**(-1283\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 - 9. Let x = s - -0.6. What is the nearest to -1\/3 in 4\/5, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/81004 and -25\/16241302.\nAnswer: 32482604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9830*a**2 + a - 2. Let v(w) = 2*w. Calculate v(s(c)).\nAnswer: -19660*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.756\nAnswer: -0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61231\/4 - 15308. Put s, 0, 2\/229 in decreasing order.\nAnswer: 2\/229, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 6 + 77*s + 6 - 46.\nAnswer: 77*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297*o**3 + o**2 + 48*o?\nAnswer: -1782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-10))\/(((-3657)\/212)\/69) + (-42)\/(-55).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 4 + 140 - (0 + 4 + -4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -7 + (-4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5182282?\nAnswer: -1\/5182282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(539) - (1 + sqrt(539))) + 3 + (sqrt(539) + (sqrt(539)*-3 - sqrt(539)))**2).\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -52*o**3 - 640*o**2 - 187*o + 44. What is k(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 313, 335, 389, 481, 617, 803, 1045, 1349?\n\"Answer: y**3 + 10*y**2 - 15*y + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*x - 223*x - 25 = 0, -2*p + 4*x + 22 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/3 - 167328*k - 314165372\/3.\nAnswer: -4*(k + 629)*(k + 124867)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**3 + 262*m**2 - 8*m - 8. Let z(i) = -5*i**3 + 270*i**2 - 10*i - 10. Determine 4*l(t) - 3*z(t).\nAnswer: -t**3 + 238*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 5. Give n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 542 + -665. Let j = u + 126. Let q = 0.7 - 1. Which is the nearest to -0.2? (a) 5 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (-15)\/(-5) + -5 + 10. Solve j + 3*g + v = 0, -6*j + 5*g = -j - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 33.9. Let u = s + -14. Let n be 42\/(-273) + (-633)\/(-312) + -2. Which is the nearest to u? (a) -0.4 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -1771\/15, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 22*c**2 + 17*c + 131. Let k be h(23). Let d(o) = o**2 + 8*o - 10. What is d(k)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwaweejjejewe?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from ppprbppnnetrt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 1. Let p(t) = -29*t + 5. Calculate p(x) - 4*r(x).\nAnswer: -25*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**4 + 3\/4*v**5 + 0 + 1\/3*v**3 - 61\/2*v**2 + 108*v. What is the derivative of s(n) wrt n?\nAnswer: 45*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7853591, -7853588, -7853585, -7853582, -7853579, -7853576?\nAnswer: -7853573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*y**2 - 9*m**2*z + 5*m**2 + 5382*m - 540081*y**2*z + y**2 + 27*y wrt z?\nAnswer: -9*m**2 - 540081*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5532736, -5532738, -5532740, -5532742, -5532744?\nAnswer: -5532746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.088 and 273.5?\nAnswer: 24.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 72?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002052047045 rounded to five dps?\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 7*d - 315200. Suppose -5*o - 3*z + d = 0, 0 = 5*o - 19*z + 18*z - 19720. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319*o**5 + 60*o + 8 wrt o?\nAnswer: -6380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45769*0.2\nAnswer: 9153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1043 (b) 4 (c) 0.01 (d) 6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = h - 4*h + 7, -2*h = -q - 8. Let u = -11 - -16. Suppose 5*t - q*t = -12, -15 = -s - u*t. Calculate the greatest common divisor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.289450162 to three decimal places.\nAnswer: 6.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1051876 times 0.192\nAnswer: -201960.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 1956*k**3 + k - 691*k**3 + 201*k**3 + (-k + 0*k + 4*k)*(0*k**2 - 4*k**2 + 0*k**2) to x*k**2 + o + a*k**3 + b*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -102*z**2 - 102*z. Let o(m) = -2*m**2 - 3*m. Suppose 25*q = 327 + 523. Let u(i) = q*o(i) - f(i). Let r(l) = 10*l**2. What is r(u(v))?\nAnswer: 11560*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-8))\/((-3159)\/54) and 26\/11?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (70\/65)\/(-7) + (-2124)\/52. Let a = -39 - j. Solve -2*t - a*t = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 154, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 670446 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 402 - 78 - 3*z**2 + 2*z**2 + 17 to x*z + v + h*z**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 3. Let t(b) = -45*b - 38. Let i(x) = -15*x - 13. Let j(n) = -8*i(n) + 3*t(n). Calculate -7*f(s) - 2*j(s).\nAnswer: -5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 232*m**3 - m + 292*m**3 + 3*m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 287788316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 11*p - 26. Suppose 0 = -5*d + 21 - 86. Let n be z(d). Let s be -3 - n - (-3 - 50). Calculate the highest common factor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l + 948 = -3*s, -3*l - 718 = 4*s. Calculate the remainder when l\/21*(-1 + -6) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2653, -5306, -7961, -10618, -13277?\n\"Answer: -h**2 - 2650*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0, -9 in descending order.\nAnswer: 0, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2213 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 40 = -5*n, -5*n - 48 + 13 = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11 = 4. Suppose 0 = -4*u - 7 + a. Let r = u - -6. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8979*v**2 - 24956*v**2 + 2034*v**2 + 6224*v**2 - 16795*v**2.\nAnswer: -42472*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69169318 is divided by 71?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) 0.72 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -10, -2, -27\/5, -1\/610, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485 (base 9) in base 16?\nAnswer: a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 169968.6 millennia?\nAnswer: 1699686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*i - 6*i - b, 4*b - 4 = 0. Solve -s = -5*x + 29, s - i = -4*x + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - (-15 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5012, 20095, 45242, 80453, 125728, 181067?\n\"Answer: 5032*l**2 - 13*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -778*y - 1521 - 84187*y**2 + 84190*y**2 - 6947 - 4516 wrt y?\nAnswer: 6*y - 778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-3)\/(-2))\/((-27)\/1116). Let r = 103 + h. What is the remainder when r is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-110) - (1 + (-208)\/2720)?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10830 + 3611 - 21*r**2 + 3610 + 3609 - 210*r as s + n*r**2 + c*r and give c.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 49*d**2 - 200*d - 175. Let t be w(-85). Round t to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32918 (base 12) to base 9\nAnswer: 111782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/13? (a) 1\/556 (b) -3\/178 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 14. Let m be i(-4). Let r be (-1)\/(5\/m) - -1. Suppose -5*c + 2*k + 594 = -c, -138 = -c - r*k. Is 38 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + 4*(sqrt(1700) + 0 + sqrt(1700) + 2 - (0 + 1*sqrt(1700) + sqrt(1700))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnnmeenntnmeeeermnn. Give prob of picking 1 t and 1 r.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/45 and 47\/95.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 21*t**2 - 84*t - 5. Determine p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106.5 + -83. Let q = -23 + t. Which is the second smallest value? (a) q (b) 2\/9 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, b: 2, f: 1, y: 2, z: 7}. Give prob of picking 2 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*o**3 + 45\/2 + 29\/8*o**2 - 26*o.\nAnswer: -(o - 18)*(o - 10)*(o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2295*s + 5365*s - 179312 = -3334*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a meter in centimeters?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 3:34 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41531 - -861?\nAnswer: -40560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 1, d: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2016804 by 336134.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2956905 and 69285?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35030 (base 7) to base 16.\nAnswer: -22eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 38. Solve 3*p = y - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**3 + 5*t**2 + 5*t - 7. Let k(i) = -8 + 7*i**2 + 6*i - 49*i**3 - i**2 - 44*i**3 + 153*i**3 - 51*i**3. Determine 5*k(p) - 6*n(p).\nAnswer: -9*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2814 and 179\/1596?\nAnswer: 106932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13)*a**4*(a**(1\/2))**(-4\/37))**8 assuming a is positive.\nAnswer: a**(-2680\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8229536 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3\/2 (c) -4 (d) 621479\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/8, 0 in decreasing order.\nAnswer: 0, -1\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-9))\/1*((175 - 90) + -67)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((13\/(-6))\/(-13)). Suppose 5*i = 2*g - 4*g + 9, -6 = -4*g + x*i. Let y = -0.7 + -2.3. Is g != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3))**(-16)*(i*i**(2\/11)\/i)\/(i\/i**(5\/3)) assuming i is positive.\nAnswer: i**(-2084\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let y(a) = a**3 - 18*a**2 + 53*a - 633. Let d be y(17). Determine l(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 15)\/((-9)\/((-54)\/4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -11*r**5\/10 - 23*r**3\/6 - 7*r - 22. Let v(h) be the first derivative of b(h). Find the second derivative of v(x) wrt x.\nAnswer: -132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 1562?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*p + 84*p = 1784 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(2\/35)*y)*y*y**(-3\/10)*y*(y**(-1))**(-1\/41) assuming y is positive.\nAnswer: y**(383\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30448, 30427, 30398, 30361, 30316?\nAnswer: 30263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 6\/3 - 6\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 45034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -31*z**2. Let w(i) = -53*i**2. Let r(h) = 7*u(h) - 4*w(h). Let b(p) be the second derivative of 4*p**3\/3 - p. Calculate r(b(g)).\nAnswer: -320*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1198c + 603?\nAnswer: 12292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 7 + (7 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -269228?\nAnswer: 17\/134614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u - 312. Determine x(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o**2 - 2*o + 3. What is the remainder when s(1) is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209576 divided by -209576?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279671731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 15*u + k - 20, -6*u + 5*k + 24 = 0. Sort -44, u, 1.\nAnswer: -44, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104904.\nAnswer: 2, 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, 1, -0.3, -1\/8, 0 in decreasing order.\nAnswer: 272, 1, 0, -1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)*x)**(-1\/38)\/((x*x*x**1)\/x)**(2\/23) assuming x is positive.\nAnswer: x**(-403\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.171 + 0.171. Let b = -355534.456 - -355551.45600026. Let u = b + s. What is u rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 192010 + 44?\nAnswer: 192054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/3464 and -21\/4?\nAnswer: 3464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 18. Let u = 1 + -0.7. What is the third smallest value in -3, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 28. Let h = w - 17. Let q(m) = 2*m**3 - 19*m**2 - 10*m + 4. Calculate the remainder when h is divided by q(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -953d6 (base 15) in base 9?\nAnswer: -801313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/9)\/((-128)\/474) and -9 + 3 + (0 - 37\/2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 28 = 4*o, -v - 4*v = 2*o - 29. Let y(w) = -10*w**3 - 7*w**2 + 9*w**3 + o - 2*w + 2 - 6. Give y(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -1.603759.\nAnswer: -0.12830072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 102262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 749 - -401. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9679715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -14. Let s = b + -14.32. Let i = s + -0.68. Which is smaller: i or -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21007196 to four dps.\nAnswer: -0.2101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 48. What is the lowest common multiple of (9 - y) + (-1 - 0) + 5 and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 2227*v - 68. Let n(d) = 370*d + 12. Calculate -6*l(y) - 34*n(y).\nAnswer: 6*y**2 + 782*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let a(n) = n + 6. Let d be a(-9). Let q be b(d). What is the tens digit of ((-26)\/q)\/(6\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 7:53 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(7)*5 - (4 + -3*sqrt(162))**2.\nAnswer: -1474 + 236*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 3)*(-2 + 2*u + 2) + (-18 - 7 - 8)*(-78*u - 78*u + 83*u) as r + v*u and give v.\nAnswer: 2411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3840 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.5? (a) 0.04 (b) 0.2 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54*j - 160*j + 14*j + 5*j - 2*j - 2*j + (-3 + 0 + 5)*(-3 - 2*j + 3) + 2 - 2 + j)*(j - 3*j + j) in the form n*j**2 + b + p*j and give n.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010111000100000 + 1?\nAnswer: -11101010111000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*k + 42 = 0, 4*n = -4*k + 12 + 28. Suppose 3*t + u - 27 = 0, t - n = -u + 2. Suppose 0*f = 4*f - t. Solve f*j + 7 - 1 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1035*n**3*o**2 + 2706*n**3 - 1219702*o**2 - 2*o + 2 wrt n.\nAnswer: 3105*n**2*o**2 + 8118*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 10\/7, -501, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -676 + 674. Put -5, 4, 23, 2, y in decreasing order.\nAnswer: 23, 4, 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 27. What is the smallest common multiple of 10 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqjjjccqjccqqccrcqq. What is prob of picking 3 c?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535188 is divided by 3994.\nAnswer: 3986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 <= 216\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 411636 + -170349. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from hhmmthhth.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -4. What is the lowest common multiple of 1 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-18) + (-10 - -13))\/((-16)\/(-36)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -237 + 236.998724. What is z rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 - (5 - (3 + 239))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 745 and 13261?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 454 + 481 = 0. Let q(a) = 6*a + 18. Let t be q(6). Calculate the highest common divisor of t and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 1148 + 504 = 0. Suppose 4*s = -2*m + 416, l = 5*m - 4*s - 818. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 3309567.\nAnswer: -8\/1103189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/10)\/((-12)\/303130). Let b = h - -5065. Calculate the common denominator of 85\/158 and b.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105\/(-21)*278256\/(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 472 and 20?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7343162 plus 8053262?\nAnswer: 15396424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 53. Let y(b) = -b - 7 + 5 - z + 2. What is y(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/57 in -2, 3044, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 + 255*o - 17. Let n(p) = -13*p**2 + 766*p - 48. Determine -17*g(j) + 6*n(j).\nAnswer: 7*j**2 + 261*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2030614269?\nAnswer: 3, 59, 11472397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-2\/15)))**(9\/7)\/(s*s**(-18))**(-3) assuming s is positive.\nAnswer: s**(-1779\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-746 - -853) + (6 - 1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*y - 0*p + 30, -41 = -4*y + p. Suppose g + 5*i - y - 30 = 0, -2*g = 3*i - 68. Solve 7*r + 3 = g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-4)\/(-112))\/((-4)\/(-8)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/(s\/(s\/(s**(-6)\/s))))\/(((s*s**(-1\/9))\/s*s)\/s**(-2\/7))*(s**(-1))**(-11)*(s*s*((s\/s**(-1\/3))\/s)\/s*s)**(2\/13) assuming s is positive.\nAnswer: s**(12436\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.8 and 40?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115335112 (base 7) to base 14.\nAnswer: -d65042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m*m**(3\/20)\/m*m)\/(m*m**(-9))**42)**(18\/5) assuming m is positive.\nAnswer: m**(12051\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -0.01. Let k = 0.05 - 2.05. Let z = -4 - k. What is the nearest to -1\/4 in d, -4\/3, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 81*u - 3. Let o(z) = 239*z - 11. Calculate -6*o(w) + 17*t(w).\nAnswer: -57*w + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 - (-5)\/4. Let z = -20 - -41\/2. Let f be 14\/(-30) + 4\/6. Sort z, w, f.\nAnswer: w, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.261121 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**6\/180 - n**3\/3 - 13*n. Let x(m) be the second derivative of s(m). Let b(l) = 6*l - 2*l - 3*l. Calculate b(x(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-596)\/(-3129)*(-27)\/3?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 - 186. What is the derivative of -16*j + 75 - 29 - 28 - u wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -95, -89, -79, -65, -47, -25?\n\"Answer: 2*x**2 - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 501 + -504. Let x be 3 - -7 - n*20\/(-12). Let z(i) = -i**2 + 4*i - 4. What is z(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*k = 17, 2*k = -2*b + 21 + 17. Let z(g) = 6*g**2 - 3*g - 2. Let n be 21\/(-12) - (-1)\/(-4). What is the least common multiple of z(n) and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h*h**(-2)*h*h*h)**(-8\/7)\/((h**(-1\/2))**(1\/16))**(9\/10) assuming h is positive.\nAnswer: h**(-2551\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-10)\/(-6)) + 1412\/2118. Factor -8\/3*y**2 - 2\/3*y + r.\nAnswer: -2*y*(4*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 - -281. Suppose 29*o - 2355 - 574 = 0. Let s = k - o. Solve 0 = s*z - 4 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 127.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11017 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/10 - 276\/(-20). Let m = d + -10. Suppose g - k = 3, 3*g = -0*k - 4*k + 16. Solve -m*y - 4*u + 28 = -0*y, g*y = u + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70150 and 1080678?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**5 - 199095*l**4 - 10*l**3 - 3634586*l**2.\nAnswer: -120*l**2 - 4778280*l - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1833 + -0.2167. Which is the closest to -2\/5? (a) -77 (b) f (c) -4 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*v, -v = -3*k + 15 - 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2726 is divided by 1314.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*n + 24 = 4*n, 4*z - 2*n = 42. Let a be 28\/6 - 2*5\/15. Solve z = a*r - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*q - 11, 5*t + 576*q - 29 = 570*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 12*v - 5. Give u(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105619*l = 105599*l - 400 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/24 + 5*d**4\/8 - 15*d**3\/4 - 408*d**2. Factor w(k).\nAnswer: -5*(k - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-24) - (-338)\/4. Suppose -i = -7*q + 55. Let n = -130 + 136. What is the least common multiple of q and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 4*x**2 - 3*x - 10. Let u be f(-4). Let b(p) = 1335*p**3 - 3*p + 6. Let y be b(u). Round y to the nearest 100.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*u + 3*u - 76, -h - 100 = -4*u. Let c = 1 - -7. Calculate the greatest common divisor of c and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3031 * -4.984.\nAnswer: 1.5106504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 4*g + 4. Let t(a) = -8*a + 251. Let f be t(31). What is s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*t**6 + 339219*t**5 + 5*t**3 - 3840434*t**2 - 4*t.\nAnswer: -480*t**3 + 20353140*t**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -121\/4 (b) 0.07 (c) -4 (d) 3\/5 (e) 0 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:33 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71\/680 + -1\/34. Suppose -4 = 3*a + a. Are a and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15041 (base 7) to base 10\nAnswer: 4145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.954 + -15. What is h rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*o + 271*o = -5*a - 172815, 138204 = 4*o + 4*a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 - 0.17. Which is the nearest to 0.1? (a) f (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(5 + 1)*10\/8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-10) - (45\/10 + -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from iiieieifffii?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(-2)\/(-1125) - (-215)\/(-125).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-294)\/48) + 57\/120?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - 9*v - 2 + 4*v + 13 - v**2. Let z be a(-8). Suppose z*x = 13 + 8. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31037*i - 16139*i + 33009*i + 39581*i + 8508*i)*(3*i**2 + i**2 - 2*i**2).\nAnswer: 191992*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 242551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/266 and -91\/1394.\nAnswer: 185402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19.2581 nanometers?\nAnswer: 0.0192581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98237850 to the nearest integer?\nAnswer: 9912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6*p = -24. Suppose -4*v - 427 = -5*c + 618, -3*v = -p*c + 627. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t = 4. Let s be (0 - 292\/(-6)) + (-4)\/6. Is t\/(s\/27)*-8 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5019*f = -6934*f - 116815 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*r + 4, 4*v - 10 = 5*r - 10*r. Suppose v = 4*q - 2 - 6. Solve -g = -1, -q*g + 14 = 2*s + 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 474.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from vdavavavaqaaa.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) - (-104)\/(-16). Let l(j) = 7 - 2*j**2 + 0*j**2 + j**3 + 10*j**2 - 3*j. Is l(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5467577 rounded to two dps?\nAnswer: 12.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9546157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 4:05 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5959410671 minus 20?\nAnswer: -5959410691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/(-8) + ((-212)\/32)\/53?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/111)\/2)\/(10\/10)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-1 - 0))\/(-1). Let o be (-4 - -4)*(-1)\/d. Suppose -5*y + y + 148 = o. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-42)*(-1)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 5. Let z(i) = -1. Let n(j) = -y(j) + 5*z(j). Let u(g) = -8*g. Determine u(n(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 191 - 318)*(-2*d + 3*d - 2*d)*(0*d + 0*d + 2*d).\nAnswer: 1098*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - (4 + -5)) - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**25\/(k**(23\/2)\/k)*(((k**6\/k*k)\/k)\/k)\/(k*((k*k**(-3\/7))\/k*k)\/k))**(25\/2) assuming k is positive.\nAnswer: k**(6275\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(((j**2*j)\/j)\/j)\/j)\/j)\/(j**(-3\/4)\/j))**(-1\/7)*(j**(1\/4)\/j*j*j\/(j*j*j**3*j))**(-3\/2) assuming j is positive.\nAnswer: j**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*c**3\/4 - 3332859*c**2\/4 + 10060841652*c + 17062083792.\nAnswer: 3*(c - 24152)**2*(23*c + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + u. Let q be (0 + 3)*(-8)\/(-12). Let t be d(q). Let p be (-244)\/20 + 6 + 6. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i*k**4 + 2*i*k - 4*i + 16*k**4 - 42 wrt k?\nAnswer: 8*i*k**3 + 2*i + 64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from {o: 7, r: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -421909 and 0.5.\nAnswer: -210954.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x - 740 = 41*x - 121*x for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let s(q) = 649799*q - 1. What is h(s(o))?\nAnswer: -649799*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -337*i**3 - i**2 - i - 1. Let l be r(-1). Suppose 2*x + 2*x - 5*d - 354 = 0, 4*x - l = -4*d. What is the remainder when x is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153246130721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013232 - -1?\nAnswer: -1013231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -78, -186, -336, -528, -762, -1038?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffssfffsffss. Give prob of picking 2 f and 2 s.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.09, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.096? (a) 0.2 (b) -0.3 (c) -1 (d) 1.5 (e) -62\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 2*p + 2. Let g be f(-1). Let c = 5 + g. Calculate the least common multiple of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r*(r\/(r*r**(-4)\/r*r))\/r)\/(r**(-5\/8)*(r\/r**(1\/13))\/r*r*r) assuming r is positive.\nAnswer: r**(593\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38393 (base 10) in base 11?\nAnswer: 26933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -28 + -27 + 23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502937971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -193 and 93947333.48?\nAnswer: 93947526.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 2*b = -532, 9*f - 14*f - b = 190 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/3 - 96*i**3 + 1950*i**2 - 10844*i\/3 + 1760 = 0. What is i?\nAnswer: 1, 22, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*q*w**2*z - q*w**2 + 2*q*w*z + 3*q with respect to z.\nAnswer: -75*q*w**2 + 2*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -40. Let -5*k**2 - k**2 + 0*k**t + k**2 - 10 - 15*k = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:58 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 36. Let j be -18 + 16 + 2\/((-4)\/(-54)). Let t = -16 + j. What is the remainder when c is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 278*u**2 - 19257*u + 2. What is l(131)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*o - 3*q + 5, -2*q - 6 = -o. Let u be -3 + o + (-3 - -4) + -35. Let v = u - -40. Calculate the least common multiple of v and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48013000 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507872502?\nAnswer: 2, 3, 28215139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -7. Let u(h) = h**3 + 3*h**2 - 6*h - 5. Let q = -79 - -75. Let o be u(q). Sort o, 4, w in descending order.\nAnswer: 4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -807 + -41.7.\nAnswer: -848.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387 and (-2234)\/(-13) + 10\/65.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -0.5. Let w = s + 2.2. Suppose -25 = -0*k + 5*k. Sort -1\/6, k, w in descending order.\nAnswer: w, -1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 876*c**2. Let d(k) = -k + 55770. Calculate d(n(s)).\nAnswer: -876*s**2 + 55770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5519298, -5519294, -5519290?\nAnswer: -5519286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.20391 + 0.39609. Which is the closest to 0.1? (a) 0.01 (b) 0.1 (c) r (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -56 + (18 - (21 - 25))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 5:47 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1047118285 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**2 - 6*t**2 + 4*t**2)*(t**2 + 0*t**2 - 3*t**2) + (2*t**4 - 3*t + 3*t)*(22 + 36 - 19) in the form w*t**3 + u + c*t**2 + g*t**4 + k*t and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, -4, -14, 8, 2, -2 in increasing order.\nAnswer: -14, -4, -2, 2, 8, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/60 - 5*l**4\/24 + l**3\/3 + l**2. Let z be (16\/24)\/(8\/(-684)). Let y = 62 + z. Give q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 591\/236 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451672 and 3232?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 2 + 1\/2*j + 1\/6*j**3 - 1\/2*j**2. Suppose k(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*g + 156, 4*g - 223*s = -234*s - 148 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 246.1247107 to 2 dps.\nAnswer: 246.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 63 (c) -2\/3 (d) 3\/1796 (e) 15\/4 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000519602 to six decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, b: 2, a: 3, h: 2, z: 4}. Give prob of sequence zkb.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1985 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 4}. What is prob of sequence gcg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, -4, 1778, 135 in descending order.\nAnswer: 1778, 135, 23, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2323430 and 4.\nAnswer: -2323426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 211874 and 130?\nAnswer: 1059370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1606368, 3.\nAnswer: -5, 3, 1606368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -183.1069 and -2277.\nAnswer: -2460.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -99402.84 rounded to the nearest one hundred?\nAnswer: -99400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(1 - 1 - 2) + 2 - 4 - 3)*(28*u - 233*u + 91*u - 156*u).\nAnswer: 270*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9*(((-50)\/60)\/(-5)*1)\/1*52\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -6*f**2\/7 - 447*f\/7 - 63 = 0.\nAnswer: -147\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -669917749.\nAnswer: -669917746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(896))\/(3*sqrt(50) - (sqrt(2) + (sqrt(2) - sqrt(242)*2))).\nAnswer: 24*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 11*a**2 - 198*a - 16. Give o(-10).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -3)*-1 - ((sqrt(143) - (sqrt(143) - 3*sqrt(143))*-3) + sqrt(143) + sqrt(143))\/sqrt(11))**2.\nAnswer: -30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2107863675 + 0.0188.\nAnswer: -2107863674.9812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173487 is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-5))\/((-9)\/30). Suppose i = 2*u - 2. Let f(j) = j**3 - 2*j**2 - 4*j + 7. Let t be f(2). Which is the closest to 0.1? (a) t (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4532.124 years to months.\nAnswer: 54385.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 286*n**2 + 1146*n - 4998. Calculate v(282).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*g + 185*g + 10 = 0. Suppose -4*z - 36 = -g*z. Suppose 3*s = 5*x + 9, 5*x = -s + 2 + 1. Solve -3*d - z = 5*n + 4, 2*d = x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 269 - 266. Solve 10*c - f = 7*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77.8 - 71. Let p = -7 + y. Which is the smallest value? (a) p (b) 1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - n + (8 + 43 - 7)*(n + 4*n - 3*n) + 0 + 2*n + 0.\nAnswer: 89*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -11 + 1. Let r(c) = -2*c. Let q(k) = -k - 1. Let y(x) = -3*q(x) + r(x). Calculate y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403431829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-8))\/(((518\/(-28))\/37)\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(16643\/(-7832)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6136 - 1322. What is the greatest common divisor of 83 and s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Suppose f*b + 6 = 38. What is the lowest common multiple of b and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 71*l**2 + 952*l + 35. What is z(-14)?\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/3, 1, 2967, 0, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 963062 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*d = 3*y - 15, 22 = 2*d - 4*y for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.3. Which is smaller: 0.4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.45 - 3.25. Let i = x + 27.8. Let k = i - 25. Which is the closest to 10? (a) 1 (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44325 is divided by 8624.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 16*a = -5*l - 19, 0 = -3*l - 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*h + 167 = -i, -5*h + 73 = i. Find the common denominator of (-3)\/(i\/(-89)) + -1 and 3 - (1 + (-226)\/(-16)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1020426129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -97, -195, -319, -463, -621?\n\"Answer: a**3 - 22*a**2 - 7*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikqiwskwkwqkkiwqqk. What is prob of picking 1 q and 1 s?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -62*f + 14*f + 25*f + 26*f. Let k(j) be the first derivative of j**3\/3 + 45*j**2\/2 - 1. Calculate k(s(w)).\nAnswer: 9*w**2 + 135*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlqyp. Give prob of sequence lw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose 264 = -2*x - 5*n, -x + n = x + 288. Let c = x + 2700\/19. What is the closest to t in -0.3, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -992 or -897?\nAnswer: -897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 53*s**2 + 271*s - 2730. What is the lowest common multiple of 495 and y(10)?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 9*o**2 + 6*o + 18. Let z be p(8). Find u such that -2*u**4 + 7*u**3 - 6*u**3 + 5*u**4 + 8*u**3 + 20*u**z - 2*u**4 = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0, 231, 3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16139767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = c + 1367 + 2995, -3*c - 6 = 0. List the prime factors of w.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6055206.9769 - 6054883. Let w = -631 + 307. Let v = f + w. What is v rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x = 62*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1780 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -119, -234, -385, -572, -795, -1054?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 14)*(3 - 1 + 0)*(10*l**2 - 5*l**2 + 15*l**2) + 4*l - 2*l**2 - 4*l to the form z*l**2 + y + a*l and give z.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 360715 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*-1 + 0)*5 + sqrt(304)*2 + 5 + 1 + sqrt(304) + 2)**2.\nAnswer: -128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 8\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -c1d (base 15) to base 4\nAnswer: -222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*r + 673*r = 415*r + 172*r + 29520 for r.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 2942*r + 34863. Give p(-12).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than -20557?\nAnswer: -20557.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 8*y**2 + 17*y - 66. Determine d(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 - 202. Which is the second smallest value? (a) r (b) 4 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + r = 69244, 4*n - 3*r + 5*r = 55388. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luo when three letters picked without replacement from lofum?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/6 - (-204)\/(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from vrvurrrsu.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = d + 3*q, -194 = -3*d + 7*d - 2*q. Let u = d + 54. Calculate the remainder when u is divided by (-6)\/(-2)*(3 - 6 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*b + 20, 5 + 10 = 2*b - 3*g. Let j(r) = -8*r**3 - 9*r**2 - 8*r - 2. Let d be j(-1). Sort 4, b, -4, d in decreasing order.\nAnswer: d, 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25302 (base 7) in base 3?\nAnswer: 100010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239356779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - 1.32. Let p = -19 - -20.3. Let r = p + q. Put r, -2\/7, 3\/7 in decreasing order.\nAnswer: 3\/7, r, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 100728.1 and 1.\nAnswer: 100728.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62 + (1 - -1)\/1. Let c(l) = 3*l**2 - 3*l + 2. Let b be c(2). What is the greatest common factor of n and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -3*c - 2*f + 7*f, 0 = -216*c + 2*f - 436 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(5\/5)*(92\/(-16) - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 295 - 1156 - 711 + 778*o**4 - 160 wrt o.\nAnswer: 3112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34549655800 rounded to the nearest one million?\nAnswer: -34550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 98.12.\nAnswer: -196.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1844 by -461.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3881 + 7736 + 3*j - 3855.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -207*j + 26093. Determine y(137).\nAnswer: -2266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56008541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*x + 8 = 0, 5*s - 392*x + 394*x + 57 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -642058 or -642064?\nAnswer: -642058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 12. Let f be h(-7). Suppose 5*u = 2*p - f, -2*p = u + 2*u - 1. Solve -2 = 4*v - 4*o - 6, p*v + 10 = -o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 1. Suppose -n - 5*n - 6 = 0. Calculate a(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1369807 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 416\/78 - 35\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-55))\/((-18)\/66)*(-87)\/(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = -2. What are the prime factors of ((-71)\/(-2))\/((4\/24)\/f)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = h - 45, -2*h + 3967 = -r + 1980 + 1988 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-189)*(-108)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -203220 (base 4) in base 9?\nAnswer: -3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*m = 22, 2*s + 3*m - 117 = 7*s. Let a = s + 160. List the prime factors of a - ((5 - 5) + -2).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xua when three letters picked without replacement from {k: 2, s: 1, x: 5, z: 2, a: 2, u: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/416624 and -73\/8.\nAnswer: 416624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15717\/(-676)*8\/(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22545 or -22534?\nAnswer: -22545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4114*p**2 + 1970*p + 9593 - 6573*p**2 - 9593 + 811*p**2 wrt p.\nAnswer: -19752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*x**3 + 5841*x**2 + 7*x**6 - 4766*x**2 - 41*x**3 wrt x?\nAnswer: 840*x**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1220*t**6 - 2*t**4 - 1176*t**6 + 288*t**2 + 287*t**2 wrt t.\nAnswer: 5280*t**3 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8576020 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-48))\/(0 - (-1)\/(-24)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(12\/7)\/p*p*p\/(p**(-2\/15)\/p*p) assuming p is positive.\nAnswer: p**(299\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e0ff - 5fe?\nAnswer: -e6fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*29198.2\nAnswer: 145991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1216) + 1*(sqrt(1216) - sqrt(1216)*2)) - (-1*sqrt(1216) + 5 - (sqrt(1216) + -3*sqrt(1216)*1 + sqrt(1216))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 90 (b) 1 (c) -0.2 (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13910037 to the power of 1\/2, to the nearest integer?\nAnswer: 3730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -51\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -2\/29, -4, -1\/13?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(2240)\/sqrt(7)) + 6*sqrt(192)*-3.\nAnswer: -1151*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26127, -104619, -235439, -418587, -654063, -941867, -1281999?\n\"Answer: -26164*h**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-714)*-9)\/((-3)\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9045\/11 + -821. Let i = h + 2\/33. Let u be (-1)\/(-2) + 9\/(-22). What is the third biggest value in 4, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44598*i**5 - 4*i**2 + 16*i - 8.\nAnswer: 2675880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 6. Let o(l) = -l - 4. Determine 5*i(t) - 6*o(t).\nAnswer: t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = j + 12, -19386 = -5*j - 4*f - 19502 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(-1\/66)\/((z*z**15)\/z**(-6)) assuming z is positive.\nAnswer: z**(-4357\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 30*a - 4 + 5)*(-3*a**3 + 0*a**3 + a**3).\nAnswer: 62*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - z + 15 - 11 + (5*z - 4*z + 3*z)*(1 - 2 - 1))*(z**2 + 2*z**2 - 4*z**2).\nAnswer: 9*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*f + 3*c, 1 = -5*f - 3*c - 8. Let g be f\/(9\/(-5 - -2)). Which is smaller: g or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - a + 18 = 0, 2*a - 13 = -5*s + 6*a. Let o be (s - -2)\/56 - (-1)\/(-4). What is the biggest value in -3\/2, -0.1, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -338*t + 11777. Give l(35).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 337\/((0 - 1 - -4) + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3, 0, 230, 4, -477 in descending order.\nAnswer: 230, 5, 4, 0, -2, -3, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(24\/(-35))*127\/(16891\/570)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 24*m**2 + 2*m - 2. What is h(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/3)\/(924\/(-792)). Let l(f) = f + 6. Let n be l(-6). Solve 0 = -d - n*d + p*j + 3, 2*d + j = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**3 - 7*w**2 + 12*w - 6. Let p(y) = -19*y**3 + 29*y**2 - 48*y + 22. Let x(q) = 6*p(q) + 22*r(q). Find c, given that x(c) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3.46 (b) 2\/13 (c) 100 (d) -3 (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 0, 8 - 15 = -3*x - t. Let v = 0.7 - 0.4. Sort -6\/5, v, -1\/3, x in decreasing order.\nAnswer: x, v, -1\/3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h**3 + h**2 - 3*h + 1. What is i(2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4\/2 + 207*c**3\/2 + 1371*c**2\/2 - 1575*c\/2 = 0. What is c?\nAnswer: -7, 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2669795*s = -2669790*s - 5*z + 60, -3*s + 2*z - 28 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 2, p: 1, d: 2, m: 1, c: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/5*g**2 + 9\/5*g**4 + 12\/5*g**3 - 6\/5*g.\nAnswer: 3*g*(g + 1)**2*(3*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*g*u**4 - g*u**3 - 6*g*u**2 - 24*g - u**4 wrt u.\nAnswer: -1680*g*u - 6*g - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 901.4403 years?\nAnswer: 10817.2836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, k: 1, m: 11}. What is prob of sequence uku?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-4 + 5)) + 78 + -65\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -22195\/424?\nAnswer: -22195\/424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4115a1 (base 12) to base 4.\nAnswer: -3320230021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -10*v**2 - 4*v + 22. What is the tens digit of s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1848 - 1297. Let v = 550 - u. What is the third biggest value in -0.5, 2\/13, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/c**(9\/7))*c*(((((c\/(c\/c**14))\/c)\/c*c)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Solve -f*v + 12 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1162413 and 6321?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164320174?\nAnswer: 2, 82160087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d, 3*b - 5*d = 2391. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j - 2. Let k = j - -6. Suppose r + 2 = k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -646, -967, -1286?\nAnswer: -1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 29 + -20 + (6 - 16).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*j - 15 = 0, -5*j = -3*l - 0*l - 14. Let f be l\/(1\/2 + -2). Suppose 0 = b - f*b + 4. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 1616?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 8:13 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 16 = 5*f - 28. Are 4121\/6 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -7928?\nAnswer: -7932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-16)*(-12)\/(-10). Suppose 63 = a*v - 2*o, 0*v = -2*v + 3*o + 42. What is the highest common factor of v and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -304 and 0.12.\nAnswer: -303.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 19*t + 44. Let v be s(-10). What is v rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 10*d + 38, d - 8 + 25 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(6\/7)\/(g**(1\/7)*g))\/(g*g**(1\/12)*g*g*g*g**(-7)) assuming g is positive.\nAnswer: g**(221\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-21))\/(-5 - 36\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 4*p**2 + (3*p + 2*p - 3*p)*(0*p + 2*p + 0*p))*(-7*p + p + 5*p - 2).\nAnswer: -8*p**3 - 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2\/9, 34, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 + 2*o**3 + 0*o**2 - o**3 - o**2 to the form m + g*o**2 + z*o**3 + p*o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 21.9 (c) 2\/8241 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2057)*-1 - sqrt(2057)*1*-4)**2.\nAnswer: -264*sqrt(17) + 18529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23220\/(-8))\/(18\/108). Let t = n - -35222. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110 + 102?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*q + 882 = 0, 1326 = -3*p - 2*q + 4*q. Let s = -74 - p. What are the prime factors of s?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1240*x - 1236*x + 5*i - 111 = 0, -x - 3*i = -5*i - 18 - 26 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 7*q**6\/120 + q**5\/12 + 37*q**2 - 5*q. Let x(o) = 20*o**3 + 16*o**2. Calculate 16*s(n) - 5*x(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (996\/(-52) - 5) + (-492)\/(-3198).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -6 - 4. Suppose 0 = -4*a - 2*i + 32, 11*i - 5*i = -4*a + 48. Solve 0 = 2*t + 3*j - h, -4*j = -0*t + t - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -44.\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 648\/5 + -10233\/80. Let h = -18517 - -296179\/16. Find the common denominator of h and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -277.287.\nAnswer: -275.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27369 + 27775. What is the smallest common multiple of 638 and k?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/((m*m**(-18)\/m)\/m))\/((m*m**1)\/m)**(-21\/2))**(2\/45) assuming m is positive.\nAnswer: m**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(343) + -1 + sqrt(343)).\nAnswer: -5 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170*h + 1174*h = 4*f + 24, -f - h + 14 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50531.46 micrometers to centimeters.\nAnswer: 5.053146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*j + 2 - 118 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2311*u - 15 = -2314*u + 4*y, -3*u - 2*y = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1888 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2. Let u = 3 + a. Determine m so that 5*m + 287*m**u + m + 9*m**3 - 302*m**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from {w: 12, a: 3}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -39.62 * -4\nAnswer: 158.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 3*i)*(30*i**2 - 45*i**2 + 25*i**2).\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwdw when four letters picked without replacement from {w: 1, d: 3, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -45*h - 42. Let i be s(-1). Suppose -4 = -2*v - 5*b + 5, 6 = i*v + 5*b. Sort -22, v, -11.\nAnswer: -22, -11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18c5 (base 13) to base 6\nAnswer: -25102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajtjajgjdaaa. Give prob of sequence taja.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*y - 616*y + 96*y + 407*y.\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320988 by -69.\nAnswer: -4652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 4:10 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:15 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 660 = -6*p. Let q be -2*3\/p*6. Do q and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1865*q + 15 - 1845*q + 7377*q - 1838*q - 1874*q in the form j*q + y and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121201221000 - 21220002?\nAnswer: -122000211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007092175 rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 0 = -19*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33676, 67327, 100976, 134623, 168268, 201911?\n\"Answer: -s**2 + 33654*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 11*d + 5. Let a be l(11). Solve -h - 4*i - 2 - a = 0, 4*i = 2*h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 3686971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 19*q - 2185. List the prime factors of q.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -4*a + 11\/2*a**2 + 1\/4*a**4 - 10\/3*a**3 - 7. What are the prime factors of r(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54845*p**4 - 2*p**2 - 2*p - 545 wrt p.\nAnswer: -1316280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 18*n**2 + 6*n - 6. Let q be c(-6). Let y be (-8572)\/(-7)*(-3)\/6. Let s = y + q. Calculate the common denominator of 5\/11 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 4, h: 3}. Give prob of sequence hdoh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 144 = -10*l. Suppose 6*m - l = 4*m. Let h(b) = 12*b - 39. Is h(m) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and -97\/315.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7388)\/110820*(-2)\/((-24)\/2)*20.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1284, -1483, -1720, -2013, -2380, -2839, -3408?\n\"Answer: -3*j**3 - j**2 - 175*j - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*q - 91*q + 30. What is the remainder when 116 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 33*o + 75. Let m be q(15). What is the highest common divisor of 24 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000063309684 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -736000300128296 + 736000180929125.9999999. Let b = c - -119199165. Let q = b + 5. What is q rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436112 divided by -2?\nAnswer: -1218056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -26*j**3 + 9*j**2 - 4*j - 5. Let a be l(-4). Let u = -1150 + a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2954840, 2954855, 2954880, 2954915, 2954960?\nAnswer: 2955015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 51*o**2 - 57*o + 347. What is the hundreds digit of l(53)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 575, 2324, 5255, 9380, 14711, 21260, 29039?\n\"Answer: 2*h**3 + 579*h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = 5. Suppose 2*c - 5 = 1. Suppose c*j - 491 - 528 = -4*d, 15 = -u*j. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*a**3 + 36*a**2 - 96*a + 16.\nAnswer: 4*(a - 1)*(a + 2)*(11*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 + 248. Suppose f = 3*f - i. Calculate the greatest common factor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 7. Let m be w(-4). Solve -5 + m = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/5 (b) 1.3 (c) -12 (d) -3 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 8*i + 8. Let t be h(3). Suppose 2*g = t, 0*n + 5 = 4*n + g. Let d be -22 + 24 + (-12)\/((-1)\/n). Solve -5*x - 2 - 4 = -w, 3*w = -x - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 5. Let j be ((-218)\/109)\/((-54)\/(-3)). Sort -0.6, a, j, 5.\nAnswer: -0.6, j, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2345 - -2?\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.347266um to millimeters.\nAnswer: 0.002347266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2170152 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 27*s**2 - 9*s - 11. What is f(13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n - 58. Let u be r(-6). What are the prime factors of (u\/6)\/(-4*1\/(-1668))?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3598525556?\nAnswer: 2, 41, 3499, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*g**5 - 6*g**5 + 13*g**5 + (g**3 - 2*g**3 + 0*g**3)*(g**2 + g**2 - 4*g**2).\nAnswer: 23*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/10)\/(l\/(l**(-6)*l)) assuming l is positive.\nAnswer: l**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-6\/5)\/z)**(-9\/4))**(-3\/26) assuming z is positive.\nAnswer: z**(-27\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/(28\/(-12) + 3). Let a be g\/(2\/32*-2) - -3. Solve 4 = -a*w + 15*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from gwgggggggggggggggwg?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 2*u**2 + 3*u - 3. Let y(d) = -5*d + 21. Let i be y(0). Suppose -16*s - i = 43. Give x(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628337.\nAnswer: 17, 23, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51978357 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 41*z - 2. Let b(i) = -39 - 56*i + 98*i + 525*i + 213*i. Calculate -2*b(s) + 39*l(s).\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158416, 158417, 158418?\nAnswer: 158419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**3 + 1918*r**2 + 4*r + 4455 wrt r?\nAnswer: -3*r**2 + 3836*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48364592?\nAnswer: 2, 17, 177811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 313 - 4 = 0. Let k = c - -105. Let o = -1 + 1. What is the second smallest value in -12, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-8))\/(1\/40). Suppose -3*r - 5 = -245. What is the greatest common divisor of r and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19185 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 15, p: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -241. Let s = j - 1271\/5. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205 + -384. Let d = -338 - m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 7*x - 95. Let y(s) = -s**2 - 4*s + 47. Let p(g) = 3*h(g) + 5*y(g). Let n be p(-8). Solve -17 = -2*v - 4*w + 3, v + n = 2*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-7 + 4 + 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 0*s - 2*s)*(-134*s**2 - 32*s**2 + 42*s**2 + (2*s - 1 + 1)*(-s + s + s) - 3 + 3 - s**2) as j*s**2 + b*s + m + h*s**3 and give h.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*h**4 - 3505*h**2*m - h*m + 106*m - 13957 wrt h.\nAnswer: -20*h**3 - 7010*h*m - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9381 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -1105.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1282*q**2 + 23*q - 125*q - 5 + 5453*q**3 + 100*q wrt q.\nAnswer: 32718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 465650 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1797, -3691, -5589, -7491, -9397, -11307, -13221?\n\"Answer: -2*u**2 - 1888*u + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1744*q**2 + 573753*q - 7569. Give r(-329).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q**2 + 9. Let d(f) = 3*f**2 - 2. Let g(v) = 9*d(v) + 2*x(v). Let y(s) = -14*s + s**2 + 9*s + 5*s. What is y(g(j))?\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -978535, -978533, -978531, -978529?\n\"Answer: 2*b - 978537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409?\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2659594051 to 3 dps.\nAnswer: 0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 9 = -9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46151 + 112 - (7 - (-3)\/3). Round w to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) -2.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 875502 and 437751?\nAnswer: 875502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 99*t - 47. What is g(-49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 1634.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m - 6. Let p(r) = -1. Give 12*p(z) - 2*x(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 3)*(x - x + 38*x + (-1 + 0 + 2)*(-2 - x + 2)) to y*x + a and give y.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 143*m + 135*m = -31, 0 = -5*g + 4*m - 35 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*d = -27, -3*h = -6*h + d + 17. Calculate the remainder when h is divided by (-1)\/(1\/(-4) - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 14 = -14*g. What is the second biggest value in 0.1, -1\/12, g, 0.15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.9 + -237488082019.\nAnswer: -237488081997.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 8427.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.7 (b) -3 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0 + 3, 0 = 5*v + o + 588. Let b = v + 207. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20761.1 and -3.1.\nAnswer: 64359.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11214 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = 65. Calculate the highest common factor of 115 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 1. Let v be r(-5). Suppose -3*p = -v*p + 10. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*a - 3418671 + 3418671.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -c070206?\nAnswer: c070208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-4) + (-1)\/4. Suppose -2 - 1 = -h. Let j be -1 - 2*p\/h. Is j >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 28*f - 24. Is y(-12) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072448513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from pnpnp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20))\/(4\/(-8) + 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*r**3*s**2 + 49*r**3 - 3*r**2*s**2 - 15*r*s**2 + 14*r*s + 32*s**2 - 90*s wrt s?\nAnswer: -248*r**3 - 6*r**2 - 30*r + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = -5*l + 13. Suppose -145 = -h - 2*x, -183 - l = -2*h - x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -v - 1736. What is the units digit of v\/(-56) - (-6)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((1436\/(-11488))\/((-172)\/(-32)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g - 1. Let h(w) = -w**3 + 5*w**2 - 6*w + 8. Let i(q) = h(q) + 2*z(q). Let f(r) = -r**3 - 9*r**2 - 2*r - 12. Let k be f(-9). Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 360*c**5*f**2 + 16*c**4*f**3 - 2*c*f - 9373*f**3 wrt c?\nAnswer: 7200*c**3*f**2 + 192*c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Suppose a*t - 20 = 5*t. Let f = t + 6. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 21389850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5650 or -6274?\nAnswer: -6274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4. Let b(o) be the first derivative of 1\/2*o**2 - o - 1. Determine b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 7*f**2 - f + 3. Let a be s(7). Let u be (-186)\/a*(-8)\/12. Let i = -17 - u. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 15, 0 = 4*x + 2*d + 26 - 0. Let y be 6\/12 - 1098\/x. What is the highest common divisor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1240*x**3 + 2 + x**4 + 1241*x**3 + 0 + 2*x**2 as y*x**4 + k + s*x**3 + q*x**2 + z*x and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147 - 70. Suppose 2*f + 4*h - 665 = k, 1504 = 4*f + 3*h. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19391190 at least -19391189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -306.3 + 305.87895. Let k = -8.58 - -9. Let c = k + m. Round c to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421438.\nAnswer: 2, 210719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(700) + 0)*4)**2*1 - ((1*sqrt(700)*6)**2 + (4*(0 + sqrt(700)))**2).\nAnswer: 8400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d = -36*d + 9. What is the third derivative of 28*w**d - 103*w**3 + w**2 - 9 - 13 + 42*w**3 wrt w?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 3)*(-4 + 4 + 3) + 1 - 2 - 3 + 0 - 1 - 1)*(-2 + 2 + 2*m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 2*n - 2 + n to s + p*n and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Suppose q - 6 = -3*d, -2*d + 0*q = f*q + 3. What is the third derivative of 3*i**6 + 0*i**3 - i**2 + 0*i**d - 4*i**6 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (5 - -1) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3885777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 585953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 14*t**2 + 39*t**2.\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/16 (b) -5 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000096324 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.26 - -4.26. Sort -1\/8, f, -3\/7, 5.\nAnswer: f, -3\/7, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10963 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**2 + 22*w + 10. What are the prime factors of s(-8)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -1)\/(6\/4). Let x(v) = v**i - 2 - 4*v + v - 7*v - 4*v. Let f be x(14). Let c(t) = t**3 - 2*t. Give c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-52)\/(-130) - 8946\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.88 + 0.12. Which is the biggest value? (a) 3\/5 (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p**2 - 21*p**2 - 3 - 17*p**2 + 180*p.\nAnswer: 2*p**2 + 180*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-64))\/(2\/4 + 0). Which is bigger: 1\/138 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2 - 1. Let o(d) be the first derivative of -d**3\/3 + 2350. Give o(t(y)).\nAnswer: -81*y**4 + 18*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 0 - (-23 + 37).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 2*n - 4. What is k(-9)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from caoocsc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 47. Let p = 9 - j. Let i be ((-1)\/(-5))\/((-18)\/(-120)). What is the smallest value in p, -2, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 6*z**3 - 4*z**3 - 17*z**3 + (0 + 2 - 3)*(-2*z**3 - 1 + 1)*(-z**2 - z**2 + 4*z**2 + z**2 + 2*z - 2*z + (-2*z + 3*z - 3*z)*(2*z - 5*z + 5*z)).\nAnswer: -3*z**5 - 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f - 5. Calculate the remainder when q(2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43381*k*m*v**3 - 246*k + 26*v**3 + 7 with respect to m.\nAnswer: -43381*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221000 = -b + u, b = -2*u - 205289 - 15711. Round b to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 - 6*d**3 - 3*d**5 + 0*d - 7*d**5 + 0*d + (3*d**4 - 3*d**4 - d**4)*(-d + 2*d - 3*d) - d**5 - 9*d**4 + 9*d**4.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1504 - -664. Round x to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-23)\/(-46))\/((-15)\/(-279)) and 32\/65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16994 divided by -102.\nAnswer: 8497\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 309*r**3 + 6*r**2 - 4. Let c(m) = -932*m**3 - 20*m**2 + 13. Give 2*c(b) + 7*n(b).\nAnswer: 299*b**3 + 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 210 + -212. Let k = -119 - -84. Let s be (-14)\/k + 58\/(-120). Sort c, s, -6 in descending order.\nAnswer: s, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108850790900 to the nearest one million.\nAnswer: 108851000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3750292001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + -2.3. Let b = 141 + -119.52. Let u = b - 21.4. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16204?\nAnswer: 2, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**(3\/8)*h*h**(-4)\/h*h*(h**(5\/2)*h)\/h assuming h is positive.\nAnswer: h**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1879553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.6 - 1013.6. Let t = 990.7745 + m. Let z = -0.23 - t. Round z to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l*l*l\/(l\/(l\/((l*l**(5\/3))\/l))))))\/l)\/(l*l**(-7))*l\/((l\/(l**(1\/4)\/l)*l)\/l)*l\/(l*l**(-4)*l) assuming l is positive.\nAnswer: l**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 - 9068*c - 9072 = 0 for c.\nAnswer: -1, 2268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/1*((-522)\/(-18))\/(-116).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 + -2 + 5)) + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/3 + 19*b + 137. Let q(k) be the first derivative of n(k). Calculate q(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.028784us to milliseconds.\nAnswer: 0.001028784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuzssszzssscsukusuzz. Give prob of sequence zkzs.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmk. What is prob of sequence mkm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 166, 312, 444, 556, 642, 696, 712, 684?\n\"Answer: -i**3 - i**2 + 156*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.22, 48\/13, -1.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 7. Sort 0, -2, b in ascending order.\nAnswer: b, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 1 - 2 + c**2 + c + 0 to i*c**2 + a*c + w and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = 0, 1 = -3*g - 4*q - 163. Let h = -50 - g. Solve a + 6 = -4*u + 2, 0 = -2*u - 4*a - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -421519 (b) -5\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 109. Let a = 85 - p. Sort 6, a, -1\/6, -1\/5 in descending order.\nAnswer: 6, -1\/6, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*f + 20 - 2, 0 = 3*f + 9. Suppose 0 = 8*a - 4*a + 2*i - 94, 0 = -5*a + y*i + 123. What is the greatest common factor of 40 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/3)\/(s\/(s\/s**(-4))*s))\/((s\/(s**8\/s))\/s**(3\/10)))**18)**20 assuming s is positive.\nAnswer: s**3228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llttll. What is prob of picking 3 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3198 and 15125.728.\nAnswer: 11927.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*n + 103*n + 87 = 297 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 + 3*i + 11*i**4 + 0*i**4 + 4 + i**2 + i**3 - i - 11*i**4 as o*i**2 + z + p*i**3 + f*i**4 + t*i and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -4690 + 4695. Let x = 3 - 1. What is the third smallest value in -0.1, p, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q + 8 = s, 2*s = 0. Let o(p) = -p**3 - 5*p + 4*p**2 - q - 3*p**2 - 3*p**2. Does 17 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Let x(l) = -4*l**2 + o*l - 4*l. Let z(a) = -a**2. Calculate x(z(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1\/5 (c) 2.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*k = 16*k - 6*k - 759 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:15 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 - 111.1. Let o = -112.98 - t. Let u = -0.02 + o. Which is greater: u or 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**3 + 5227406*h**2 + 1493544*h.\nAnswer: h*(h + 746772)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/6 (b) 1\/5 (c) -2\/13 (d) 221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139932767*g**2 - 9505197*g + 5.\nAnswer: -279865534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 1067*k**2 - 2*k + 19. What is m(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.00000033. Round s to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4\/2 + 83680*x**3 + 23831039*x**2\/2 + 428658595*x + 280501404 = 0?\nAnswer: -55644, -71, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*m + 64527*j*q*t + j*t + 2*m*q + 3*m*t + 18521*t wrt q.\nAnswer: 64527*j*t + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*h - 938063 = 394*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8797 divided by -463?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 + 6*s + 3*s**3 + 2*s**3 - 6*s**3 + 4. Let o be n(-8). Suppose -6*k + g + o = -3*k, -4*k = -2*g - 112. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)\/y)\/((y\/((y**(-14)*y)\/y))\/y) assuming y is positive.\nAnswer: y**(-137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100230030320 + 11?\nAnswer: 100230030331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9747*o**3 - 9634*o**3 + 19383*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4\/15 (b) -0.11 (c) -4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**5 - 6*t**4 - 101*t**3 - t**2 - 235*t - 30?\nAnswer: 180*t**2 - 144*t - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 642619 and 500814?\nAnswer: 141805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 31*t**4\/4 + 140*t**3 - 421. What is the third derivative of d(b) wrt b?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1039.313 + 10210.\nAnswer: 11249.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -73273 (base 9) to base 3\nAnswer: -2110022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 8 + 8 + 5*w + 2*w + w - w + (0*w - 3*w + 2*w)*(2 - 1 + 0) + 0*w + w - 3*w + 252*w - 391 + 391.\nAnswer: 256*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 + 3254*l**4 + 2*l**2 - 584*l + 4 wrt l?\nAnswer: -60*l**2 + 78096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (466 - 22 + 2*a - a)*((-3 + 3 + 1)*(2 - 1 + 0) - 4 - 1 + 13) + a + a - a in the form g + b*a and give g.\nAnswer: 3996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = g - 933 - 983, g = 5*i + 3194. Let b = -221 - i. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 0.177.\nAnswer: 0.00177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.7 * 4.\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199382384 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664 = 96*h + 1121 - 441 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = 1. Suppose -5*m - 2*a = -5, -4*a = -5*m - o + 48. What is the derivative of m - 47*i + 47*i - 11*i**4 wrt i?\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5*m = -j - 13, 0 = -2*j - 3*m - 26. Let u be (6\/(-9))\/(j\/(-15) - 1). Sort 18, u, -2, -5 in descending order.\nAnswer: 18, u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1956, 7816, 17590, 31284, 48904?\nAnswer: 70456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5 - 414992*g**2 + 1084392*g.\nAnswer: 40*g**3 - 829984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13245228 a multiple of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 8*h - h)*(-2*h**2 + 1 - 2 + 0).\nAnswer: -8*h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-9)*4\/642. Let v = -4940\/963 + p. Which is bigger: v or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3638.\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-65)\/91)\/(2\/(-14)). Let w(r) = -2*r + 14. What are the prime factors of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r - 3*r)*(-10 - 4 + 0).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r - 3*r)*(-3 - r + 3) + 12 - r**2 + 226288*r - 113147*r - 113184*r.\nAnswer: r**2 - 43*r + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-38)\/r**(-37))**(29\/3) assuming r is positive.\nAnswer: r**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 797*i**2 - 1707*i**2 - i + 651*i**2 + 627*i**2 to the form q*i**2 + f + t*i and give q.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7085049 is divided by 2414?\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1700)*-1)**2 - sqrt(17)) + -3.\nAnswer: -sqrt(17) + 1699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 5503 - 5532 - 5*r**3 + r**3 + 11035 + 0*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-644)*-28 - (-10)\/115. Let j(s) = s**3 + s - 1. Let m(h) = h + 1. Let v(p) = -5*p - 5. Let n(g) = -4*m(g) - v(g). Determine z*j(x) + n(x).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 4*(-15)\/(-20))\/(-3). What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 9, 81*u + o + 5 = 79*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0\/x)**14\/(x*x**(1\/3)*x*x\/(((x**(3\/5)*x)\/x)\/x)))**32 assuming x is positive.\nAnswer: x**(-8512\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.220701 months to millennia.\nAnswer: 0.00101839175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.588095 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z + 14. Let l(s) = -4*s - 5. Calculate -3*g(u) - 8*l(u).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - -2*sqrt(24))*2)\/((-4*sqrt(1728) + sqrt(1728) + sqrt(1728) - sqrt(1728)) + sqrt(12))*2.\nAnswer: -12*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 533311395 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-2)*d*d))**(-4\/11)\/(((d\/d**4)\/d)\/(d*d**(3\/5))))**(-6) assuming d is positive.\nAnswer: d**(-1968\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650111.9l to millilitres.\nAnswer: 650111900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2049 + 2049.09. Put -16, k, 0.2, 1\/8 in increasing order.\nAnswer: -16, k, 1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -3*u**6\/2 - u**4\/2 - 283*u**3\/3 + 592. Find the third derivative of k(v) wrt v.\nAnswer: -540*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.13, 3, -3, 4, -5\/83?\nAnswer: -5\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:07 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 11*t**2 - t + 11. Let c be n(11). Sort c, -10, -27.\nAnswer: -27, -10, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 320*j**2*k**4 - 2*j**2*k**3 - 597*j**2 - 3*j*k**2 + j*k - 49*k**4 + 12*k**2 wrt k?\nAnswer: 7680*j**2*k - 12*j**2 - 1176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9 and -109\/8112?\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - t - 10. Let d(a) = -2*a**2 - 3*a - 17. Determine 3*d(m) - 5*z(m).\nAnswer: -m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.5 + -23. Is d at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46\/13 in -0.5, -3\/5, -1\/16, -5\/3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/(6\/16). Let c be (-3 + 10)\/(-7)*-2. What is the second derivative of 6 - 6 - z**4 + c*z - 2*z**j wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:10 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -170 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 44. What are the prime factors of k(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2164 - 3?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170.826956 + 171.236. Let u = 0.030376 + j. Let f = -0.44 + u. What is f rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148597 - 82616. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 65 - 5 - 9\/3. What is the greatest common divisor of 513 and w?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/21980 and -117\/3140.\nAnswer: 21980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -39. Suppose -2*j - 5 = -15. Calculate the remainder when m is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1061*x**2 + 2. Let y(c) be the second derivative of -c**3\/3 - 2*c + 4. Give y(f(t)).\nAnswer: -2122*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvnhooohvvvmvhnqqh. What is prob of picking 1 h and 2 q?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lih when three letters picked without replacement from mnminlnhnnmhnmzllz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/20*1*-6*85\/204?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2473 = -1329. What is the highest common factor of g and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 80*g**3 + 120*g**2 - 1600*g + 2000.\nAnswer: 5*(g - 2)**2*(g + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.9531 to zero dps.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 242971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -24a81?\nAnswer: -24a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27480 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*g + 98 + 36, -7*u - 4*g + 24 - 306 = 0 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*n**3 - 7142*n**2 + 7142*n**2)*(-5*n - 13 + 13) - 6 + 1 + 3 - n**4.\nAnswer: -286*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*k - 3, 4*k = -3*p + 7*p + 48. Suppose k*z = 13*z - 342. Find the second derivative of 22*b + 7*b**3 - z*b + 25*b wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1392 and 53\/1276.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times 0.23?\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 729505 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 - -153. Let g be (1\/(-9))\/(1*1\/6). What is the third biggest value in g, 1\/3, u, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 7. Let v(o) = -8*o - 16. Let r(b) = 9*g(b) + 4*v(b). Let c(q) be the second derivative of -5*q**3\/6 + q**2 - q. Calculate -2*c(p) - 3*r(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(15)\/(sqrt(5)*2 + sqrt(5))) + (sqrt(192)*-2)**2 + sqrt(192).\nAnswer: 26*sqrt(3)\/3 + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4829930 to the power of 1\/2, to the nearest integer?\nAnswer: 2198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) 4 (b) -2 (c) 2.7 (d) 1.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvq when three letters picked without replacement from vcquqqqvuvuqqquqqq?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119726963?\nAnswer: 119726963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/20 + 13*b**4\/12 + b**3\/6 - 7*b**2\/2 - 2*b - 12. Let o(g) = 12*g**2 + 1. Let q be o(1). Is l(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 182, -5, 35 in descending order.\nAnswer: 182, 35, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (34 + 12 + (6 - 35) + (5 - 0))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*h = 15, 5*m - 10 - 5 = -3*h. Suppose m = -0*p - 2*p. Suppose -2*a - 2*a + 48 = p. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1277, -2884, -4481, -6062, -7621, -9152, -10649?\n\"Answer: b**3 - b**2 - 1611*b + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, 9000, 26121, 50092, 80913?\nAnswer: 118584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 143*y. Let z(x) = -1376*x - 61. What is z(j(r))?\nAnswer: -196768*r - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 + 6*h + 5. Suppose -73 + 25 = 12*v. Give l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10859)\/(-230) - (-64)\/(-80). Let j = 93\/2 - n. Is j at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 183534 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 62782?\nAnswer: -62783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3137 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -2. Let m be 0 + (-6)\/12*2416. What is the common denominator of ((-3)\/u)\/(18\/m) and -53\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let d(t) = 2*t + t**2 + 4 - 6*t + 0. Let u(w) = w**2 + 4*w - 1. Let z be 1\/(-2)*-2*-4. Let l be u(z). Calculate l*d(x) + 4*v(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 5*a**2 + 6*a + 3. Let b be c(6). Suppose -b*u + 0*u = 0. Suppose u = -5*p + 7020 - 420. What is p rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + d - 1. Let i be x(1). Suppose -i*m = -m - 68. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 11364.\nAnswer: 568200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6751 + -2461. Is s a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2821?\nAnswer: 4\/2821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = z + 31*p + 3, 5*z + 3 = -3*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -815478 divided by -6?\nAnswer: 135913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (295*z - 800*z + 335*z)*(12*z - 9*z + 27*z).\nAnswer: -5100*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/11)\/2 + 1720\/(-22). Let q = 337 + -201. Let d = a + q. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -18*m**2 - 2\/25*m**5 + 0*m**3 + 0 - 1\/10*m**4 + 0*m + 7\/200*m**6 + 1\/70*m**7. What is g in v(g) = 0?\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -24.638903 and -0.08.\nAnswer: -24.718903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -369\/7 + 53. Find s, given that 0 - 6\/7*s**4 - z*s**2 + 2\/7*s**5 + 0*s + 6\/7*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1467*l - 1464*l - 3660. List the prime factors of l.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 4. Is 15 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:16 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d (base 15) to base 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2015, 3492, 4969, 6446, 7923?\nAnswer: 9400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8187853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1104, 1106, 1098, 1074, 1028?\n\"Answer: -h**3 + h**2 + 6*h + 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-360)\/8 - (4 - 2). Let n = -45 - o. Solve -12 = -3*v, 2*i + n*i - 2*v + 28 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8008 + 8007.37. Which is the fourth smallest value? (a) 0.3 (b) w (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2581792, -2581793, -2581794?\nAnswer: -2581795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 16) to base 4.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2337 - -472. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 262995842 - 5*w**3 + 262995842 - 2025*w**2.\nAnswer: -2*w**3 - 2025*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -109. Suppose 16 = k*t + 8. What is the third derivative of -22*c**5 + 228*c**2 - 202*c**t + c**5 wrt c?\nAnswer: -1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:35 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(3*(-4)\/(-60)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f - 5?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -1 + (0 - 2) + (1 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + (-480)\/50. Let s(x) = 7 + 0 - 6*x - 2. What is the units digit of s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1180080*0.5\nAnswer: -590040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 238340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 18. Let m be (4\/f)\/(10\/25). Is 2 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -1 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*n**5 + 5345*n**4 + 12125*n**3 - 2925*n**2 - 12080*n - 2420 = 0. Calculate n.\nAnswer: -2, -1, -2\/9, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -80*m + 1 + 221*m + 90*m. Suppose 5*n + 6 + 4 = 0. Let f be j(n). Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18292350 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*f - 3*c + 31, 3*c = 2*f + 8. Let j = f - -8. Let o = 11 - 6. Put 4, o, j in descending order.\nAnswer: o, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3610*f - 82 = -3612*f + 2*n, 0 = -4*n - 1 - 7. Let z be 1*102 - (4 - 2). Suppose -5*c + z = -0*c. What is the remainder when f is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145785420 divided by -66660\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2157 and 347996?\nAnswer: 1043988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwww when four letters picked without replacement from {z: 14, p: 1, w: 5}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 0*w**3 - 2*w**5 + (-3*w**2 - 3*w**2 + 0*w**2)*(-w**3 + 2341 + 6*w**2 - 2341).\nAnswer: 4*w**5 - 36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5247 - 5228.122. What is c rounded to 1 dp?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {n: 4, k: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 11 + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/5)\/(3\/(-6) + -1). What is the nearest to h in -5, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 minutes after 9:28 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 + -161. Let h = -4.4 + 0.4. What is the third smallest value in 9, u, h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 474210000 to the nearest one million.\nAnswer: 474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*f - 141. Let u = f - 18. What is the highest common factor of 70 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 20745.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100100100000010001000010 (base 2) to base 14\nAnswer: -13b152a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/((-41850)\/45)*285?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 24416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o + 102*o - 54*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3 + 7*q**2 - 22\/3*q.\nAnswer: (q - 1)*(21*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -499, -2111, -4993, -9307, -15215, -22879?\n\"Answer: -27*p**3 - 473*p**2 - 4*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 23*r**2 - 197*r + 325. Give j(-30).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 - 3*s + 25. Let g be j(-7). Let o be (4\/(-10))\/(g\/30). Suppose -4*h + 1333 = -3*n, -o*n = 9 + 3. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (1*sqrt(975) - sqrt(975)) + sqrt(975) + sqrt(975) + sqrt(975) - sqrt(39))\/(sqrt(75) + (sqrt(75) - (2*sqrt(75) - sqrt(75)))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*t - 453, 4*v = -4*t - 0*t + 1860. Suppose 0 = -2*w + 150 + v. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + 464*l - 464*l - l**3 - l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let p = -22 + 57. Suppose 0 = 4*u + 8, -2*u + p = 5*w - 26. Let z(n) = -24*n - w*n + 39*n - 29*n. What is z(j(l))?\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 20608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 13 = 3. Suppose -s = -4*l + 3 - 1, q*l + 10 = -5*s. Suppose 0 = -0*h - h + 5. Sort h, s, 3 in descending order.\nAnswer: h, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7664388287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 11 - 3\/1. Suppose 96 = 4*x - 4*b, -x = n*x - 2*b - 69. Let r = 26 - x. Solve -r*a + 1 = u, -4*u - 3*a = 3 - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-44)\/(-6)))\/((-348)\/(-464)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356452*o**3 - 5*o**2 - 2140*o - 1466.\nAnswer: 2138712*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q. Let p(k) = -14*k**3 + k - 1. Let n be p(1). Let x = n + 8. Let v be b(x). What is the highest common divisor of v and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*h - 18 = -5, -2*h - 3 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -7. Let f(o) = o**3 - 11*o - 8*o**2 + 8 + 0*o + c*o + 9*o. What is f(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 7*z = 20*z + o - 50, -3*o + 118 = -0*o - o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10668872 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*r - 2 = 33, 3*u = -3*r. Put 0, -4, -3, u in ascending order.\nAnswer: u, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, s: 11}. Give prob of picking 1 s and 1 z.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*(sqrt(300) + sqrt(300)*-5)*-1 + (sqrt(300) - 3*sqrt(300)*-3) + -2*(sqrt(300) + 4)**2.\nAnswer: -420*sqrt(3) - 632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1051111530 - -1?\nAnswer: 1051111531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4000030201 (base 5) to base 11\nAnswer: 4458104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -3*d + 5*v - 2*v - 0*v, -4*v = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110333 + -2?\nAnswer: 110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4662069200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + 2*n**2 + 2*n**2. Let f(s) = -5*s**2 - 6*s - 6. Let r(z) = 24*z**2 + 28*z + 28. Let q(j) = -14*f(j) - 3*r(j). Calculate q(w(v)).\nAnswer: -98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**2 + j + 1. Let c(h) = -h + 3. What is the smallest common multiple of s(-1) and c(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*p + 72*p + 186*p + 200*p as g*p + t and give g.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426 divided by 213.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -57835.\nAnswer: -347010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5627 + 5628. Sort 0, -38, -1\/2, q in descending order.\nAnswer: q, 0, -1\/2, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Let g = -1645 - -1645.2. Which is the closest to -0.1? (a) g (b) d (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.226641 minus -5?\nAnswer: -4.226641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2071, -4143, -6215?\n\"Answer: -2072*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.6863 - 16.55. Round q to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 96 - 13*i - i + 22*i - 5*i. Let o be m(-29). What is the third smallest value in 0.4, o, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 20*t - 14. Let a be q(21). What is the hundreds digit of (a\/28)\/((-1)\/(-2))*342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 less than or equal to 453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -963.3 times 0.8?\nAnswer: -770.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -12. Suppose -5*v + g = -17. Sort -5, 3, v in ascending order.\nAnswer: -5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 61*l**3 - 38734*l**2 - 523*l - 71121. Give h(635).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12887105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48899661*i**3 + 157247143*i**2 wrt i.\nAnswer: 293397966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 8098.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p. Let s(q) = -2*q. Let h(w) = -3*j(w) - 4*s(w). Let t(i) = 127 - 2*i**2 - 127. Determine h(t(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(32)*-1*3)**2 - sqrt(32)).\nAnswer: -4*sqrt(2) + 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208338428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 + 2*k**3 + 46*k - 21*k - 23*k. Let i be b(2). Let z be 4\/(i*(-1)\/(-90)). What is z rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70035008 is divided by 9664.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, -30, 1, -9\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1189953 years to centuries.\nAnswer: 0.001189953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*o - 5, 3*m - o - 3*o - 18 = 0. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -101. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5508967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -466 divided by -2639\nAnswer: 466\/2639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/177, 0, -27\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 42011262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 14*l - 23. What is p(17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**16\/q)\/(q**(-1\/73)\/q) assuming q is positive.\nAnswer: q**(1169\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 14. Let i be 32\/(-40)*(-50)\/4. List the prime factors of (504\/h)\/(3\/i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-112)*(-15400)\/71500.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 0, 6, -3, 159 in ascending order.\nAnswer: -8, -3, -1, 0, 6, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) 0.35 (c) -0.4 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 2, e: 1, s: 6, p: 5}. Give prob of sequence pmp.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2 - (-49 - -54). Let f(b) = b**3 + 5*b**2 + 5*b + 4. Let s be f(y). Solve c + 4*c + 5 = s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2163*d - 4 + 2176*d - 7*d**2 + 12 - 3*d**2 - 5 wrt d.\nAnswer: -20*d + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-6 + 0 + -1390) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41706*0.5\nAnswer: -20853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 164, 0 in decreasing order.\nAnswer: 164, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 511*d + 510*d + 13, 39 = 9*h - d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9541*z**5 + 2*z**3 - 16868*z wrt z.\nAnswer: 190820*z**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -200. Suppose -2 = -k, -4*c + 2*k + 38 + 62 = 0. Calculate the remainder when h is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 8729480\nAnswer: -1\/8729480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -2663327278 and -1329.7.\nAnswer: -2663328607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 26521510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4178 + 20891\/5. Let t = -4.02 - -0.02. Let j = -9 - t. What is the third biggest value in -2, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2567.1 and -0.1?\nAnswer: 2567.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 7. Let q be b(6). Sort -5, q, 4.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -19. Let b = f - 7. What is the closest to -2 in 2\/3, b, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1\/2, -184, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/3 - 13*m**4\/3 + 17*m**3 - 21*m**2 = 0.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76235 + -54450. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 13*t**2 + 22*t - 4. Let c be d(-11). Sort c, -2, 8, -3 in ascending order.\nAnswer: c, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 235?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-39)\/3 - 1. Is 2 a factor of (-3 - -2) + 1 + o\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k**3 + 5*k**2 - 5*k + 5. Let j(z) = -6*z**3 + 2*z**2 - 2*z + 2. Let u(w) = -3*c(w) + 8*j(w). Give u(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001707895 to six dps.\nAnswer: 0.001708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7 - 3. Suppose 5*q = 4*l - 10, -4*l + 3*l + w = -q. Is q at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -353\/410 + 5\/82. Put 1, -4\/9, -3, s in ascending order.\nAnswer: -3, s, -4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-22 - (2 - 25))*(6 - 92)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/18*20*213. Suppose -7*k + t = -2*k. Let y = 257 - k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30014, 120083, 270214, 480419, 750710, 1081099, 1471598, 1922219?\n\"Answer: 2*u**3 + 30019*u**2 - 2*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 2, t: 4}. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 36*k + 8. Let m(r) = -24*r - 5. Calculate 8*m(d) + 5*x(d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/20)\/((-3)\/(-30)). Solve -c = 5*g - 8 + 26, 24 = 4*c - z*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 57*k - 33. Let m(p) be the first derivative of 7\/2*p**2 - 4*p + 5. Suppose -4*b + 129 = d - 0*d, -3*d = 9. What is b*m(s) - 4*c(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + f - 270 = 0, -2*f + f = -3*c + 276. What is the remainder when c is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80550 divided by 2\nAnswer: 40275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (-6 - 1) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1076, 4323, 9736, 17315, 27060, 38971, 53048?\n\"Answer: 1083*t**2 - 2*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-25)*(31 + -296) - -10\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - o - 14, 0*g + 3*o = -2*g + 13. Suppose 2*q - 16 = q. Let v = q + -12. Sort 1, g, v in ascending order.\nAnswer: 1, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4930.1 + -4934. Which is the second smallest value? (a) 19\/5 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 + 0*t**2 - 4*t**2 + 2 + t**2 - 2 + (t + 0*t + 0*t)*(0*t + t - 3*t) + 134 - 134 - 20*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100072 or 1300940\/13?\nAnswer: 1300940\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8675449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a**3 - 44*a**2 - 5*a + 5. Let y(r) = -21*r**3 - 153*r**2 - 18*r + 18. Let b(g) = -18*p(g) + 5*y(g). What is l in b(l) = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62.00417 + -62. What is c rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -352*g + 354*g - 76. Let v(n) = -n + 38. Let l be v(g). Which is smaller: 1\/23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 247*a + 18 - 3 in the form p + r*a and give r.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.1. Let z = -0.69 - 0.11. Let x = -2.2 + z. Sort 0, x, r in descending order.\nAnswer: r, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, k: 3}. What is prob of sequence oo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6647718 divided by -1107953?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/30)\/((-98)\/735). Is j*(-28616)\/(-16) - 6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Let k = 4124 - 4117. Which is the closest to 3\/5? (a) k (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 134 + 8?\nAnswer: 13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44980670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.1. Let h = 7.26 - 7.2. Let l = 0.1 - -1.9. What is the nearest to n in l, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-84)\/(-22) + -4 + (-208800)\/(-1149126). Let z = 1166711\/1514757 + a. Calculate the common denominator of 37\/4 and z.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 937445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 54\/5 of a microgram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 - 70*q - 6 + 0 - 17*q**4 - 259*q**4 wrt q.\nAnswer: -3312*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11187181 and 107027.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 45. Let o be w(15). Let a be (o - 10)*2\/55. Put -2, a, -0.5 in increasing order.\nAnswer: -2, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.02 + 27.02. Which is bigger: -27723 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s = 33*s + 3*o - 288, 0 = -2*s - 4*o - 110. Let k = 58 + s. What is the highest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98372141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 7*r**2 + 14*r - 12. Calculate the remainder when i(8) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -11*x**5\/5 + 4*x**3\/3 - x**2 + 27*x + 61. Find the second derivative of p(z) wrt z.\nAnswer: -132*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96.7 >= -4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12763 + 3?\nAnswer: 12766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - 3658\/(-93))*(-1 - (-16)\/4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.53 + -0.75. Let a = b - -10.804. Let z = 3.4 + a. Round z to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhph when four letters picked without replacement from {p: 1, h: 2, m: 1, g: 4, f: 2, y: 2}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 3*r + 1. Let l be t(2). Suppose 0 = 2*b + 4*g + 4, -17*b - 5*g = -14*b + 2. Sort 0.5, b, l.\nAnswer: 0.5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a century in months?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 151064 - 152014 + 0*u**2.\nAnswer: 2*u**2 - 950","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q**2 - 18*q**2 + 4*q**2. Let i(r) = 124*r + 32. Let z(s) = -19*s - 5. Let u(m) = -5*i(m) - 32*z(m). Determine n(u(t)).\nAnswer: -288*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-5))\/((-1598)\/15980).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 t when four letters picked without replacement from tatttaattttaaaattata.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1519989.2466 - 1519818.24659859. Let t = -0.391 - -171.391. Let g = t - s. Round g to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 13?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1484 (c) -3.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**4\/24 - z**3\/3 + 5703*z**2. Let b = -1 + 8. What is p(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593776854.\nAnswer: 2, 43, 109, 170021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-3) + 3\/(-9). Suppose -2*d = 5*b - 37, 3*d = 5*b - 0 - 7. What is the least common multiple of 41\/2 + (-1)\/v and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 5, -0.01, -145, -24\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1058499.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (3 - (1 - -40)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from aafaklafffg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2306 - 0.1694. Which is the second biggest value? (a) 5 (b) -0.19 (c) -4\/9 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-15) - (-300)\/9. Do 33 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102243143 + -5?\nAnswer: 102243134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 4. Let m be ((-1)\/(-2))\/((-10)\/60). Calculate g(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -98, -153, -208, -263?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4241, 8620, 12999, 17378, 21757?\n\"Answer: 4379*m - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 + 6*j - 15. Let x(a) = -5*a**2 + 7*a - 23. Let q(p) = 14*p**2 - 20*p + 65. Let t(s) = 6*q(s) + 17*x(s). Calculate -k(m) - 6*t(m).\nAnswer: m**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.1 + 44. Which is the closest to -1? (a) x (b) 7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -40*g. Let b = 198 + -190. Let s be 1*(-5)\/(-10)*b + -1. Let y(p) = p - 8*p + 2*p. Determine s*n(a) - 25*y(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v**2 + 57*v**2 + 60*v**2 - 177*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -48\/7*b - 288\/7 - 2\/7*b**2 = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -101*g - 693. Give v(-9).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729857300 rounded to the nearest 1000000?\nAnswer: 2730000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9431 - -0.0569. Let j = 0.6 + -0.9. What is the third biggest value in j, -4, q, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33232 and 17974358.\nAnswer: 4154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/9 + -10 + (-21)\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-22) + 168519\/(-41470).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 3. Let z(j) = -2*j + 2. Let v(s) = 2*q(s) + 3*z(s). Let o(f) = 4*f. Calculate -2*o(u) - 5*v(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 - (-62 + 35 + 25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 52 - 107 + c + 56. Let o(v) = -2*v. Let w(a) = a**3 - 5*a**2 - 5*a - 7. Let x be w(6). Determine x*o(b) - f(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.308935753 to 5 decimal places.\nAnswer: 0.30894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 5. Let j(b) = 1. Determine -5*j(p) + k(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Suppose 4*s - 26 = 2*m, -n*s + m - 1 + 32 = 0. Let z(y) = -3 - 2 - 5 + 5 + y. Determine z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1497.10032 + -1497. Let w = 0.1 - 0.2. Let v = w + r. Round v to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzw when four letters picked without replacement from wwzbbbbwzzz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137872.\nAnswer: 2, 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57\/2 + 27. Let x = -11 + 10.89. Let r = x + -2.89. Which is the smallest value? (a) t (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/12 - q**3\/2 + 3*q**2\/2 - 10*q. Let u = 14 + -16. Let s be (u\/(-5))\/(4\/(-40)). Calculate o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhj when three letters picked without replacement from jhjjhjjhhjjhh.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/64)\/(105\/(-14)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4187, 4186, 4185, 4184?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 34\/165 (c) 0 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*-12*(-54)\/144*-12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 44*a = -45*a + 9, 0 = -4*a + 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 143628?\nAnswer: 143626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 9*i**2 + 9*i + 3. Determine m(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1010 and -51\/2314?\nAnswer: 1168570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8201 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 15*k + 4. Let h be l(-15). Let f be ((-9)\/(-15) + 0)*5. Solve -20 = -2*z + 5*t, 3*z - h*z - t = -f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 22. Let j be f(16). Let q be (-264)\/j - (-2)\/7. What is the units digit of -30*2\/10*q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 10 = 23*q. Suppose -3*m + 4*v = -m - 340, 518 = 3*m + q*v. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.747023096 - -9.7?\nAnswer: 3.952976904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -21*x**2 + 11*x - 21. Let s(d) = -42*d**2 + 21*d - 41. Let j(r) = -3*s(r) + 5*u(r). Suppose 17*t - 40*t = -161. Is j(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**5\/2 + 3*l**4\/16 - 5*l**3\/6 - 3*l**2\/8 - 1057. Factor p(v).\nAnswer: v*(v - 1)*(v + 1)*(10*v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q*q**(-1\/26))\/q))\/(q\/(q\/(q**7\/q)))*(q*q**(-1\/2)\/q)\/q*q**(-20))**(-47) assuming q is positive.\nAnswer: q**(16779\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l**(-1\/2))\/l)\/(l**2\/l*l))\/((l\/(l**3\/l*l))\/(l*(l*l*l\/(l*(l**4\/l)\/l))\/l*l)))**(-17) assuming l is positive.\nAnswer: l**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5987 is divided by 1258.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034995 is divided by 750.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-4)*(-2)\/8*5. Let c be -2 - 11\/4 - i. Let w = 0.7 + -0.3. What is the biggest value in w, c, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174827417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 - (-3 + 1)) + (-14 - -34) - 3) + 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 285 = -7*z. Suppose 5*f = 25, 6*f - 3*f = -v + 121. Let l = z + v. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/70029 and -68\/2731131?\nAnswer: 2731131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 846230 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 7*r + 4. Give o(8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/4 + (-525)\/150)\/(1\/16). Solve -h*b - 44 = -16 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n**2 - 2 + 2)*(748*n + 150*n - 58*n + (2*n - 4*n + 0*n)*(-1 + 0 - 1)) - 5*n**3 + 2*n**3 + n**3)*(0 - 3*n + 0).\nAnswer: -2526*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.222517 and -0.5.\nAnswer: 0.6112585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 8 - a**2 - 3*a - 5*a. Suppose -645 + 219 + 318 = 12*l. Give c(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + a2?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - 4*q**5 + 2*q**5 + (-q**3 + 4*q**3 - 2*q**3)*(-2*q + 2*q - q**2) + 2*q**2 - 11*q**5 - 3*q**2 + 5*q**2.\nAnswer: -10*q**5 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 263920148 to the power of 1\/2, to the nearest integer?\nAnswer: 16246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1839 - 51. Suppose -860 = -8*g + q. Is g a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -16 (b) 0.1 (c) -2 (d) 69 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5698 is divided by 204?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/3 (c) 1\/6 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.722 + -0.63. Let u = -1.092 + v. Let p be (-2)\/12*((-40)\/(-12) + -2). What is the second smallest value in -2.1, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let s(x) = 217638*x**2. What is b(s(o))?\nAnswer: -47366299044*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 4*a - 4. Let v be t(5). Let h(n) = 11*n + 9. Let m(p) = p - 2. Let r(l) = -h(l) + 2*m(l). Is 17 a factor of r(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**37*y\/(y**(-7\/9)\/y*y)*(y\/(y\/(y*(y\/(y\/(y\/y**38)))\/y)*y))\/(y*y*((y*y*y**(-1\/37))\/y)\/y) assuming y is positive.\nAnswer: y**(-398\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.536779 to 1 dp.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1133\/4620 - (-3)\/15*-2. Let a = 5\/28 - k. Factor d + a*d**2 + 0.\nAnswer: d*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250817.888123 - 250818. What is b rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.197 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418 or -417?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128278.9 millilitres to litres.\nAnswer: 128.2789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -453 and -453 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 55*p**2 + 21*p + 24. Let d be q(-8). What are the prime factors of (-3 + (-21)\/(-6))*(d - -2)?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-37)*b)\/b**(2\/5))\/(((b*b\/(b**(-17\/2)\/b))\/b)\/b**(-1\/23)) assuming b is positive.\nAnswer: b**(-10797\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.1 + -9.006. Let a = u - 3.114. Let f = a + 0.02. What is the second smallest value in f, -0.4, 1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let u(v) = -53*v - 636. Let r be u(-12). Which is the nearest to r? (a) -0.1 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4929433.\nAnswer: 4929433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.5 (c) -1 (d) 4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/3, 3, 117, 2\/3, 0.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -12*x + 1\/2*x**2 - 19. Let u be s(7). Do -1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1 + 5*t + t**2 - 8*t + 1. Let u be b(6). Suppose 4*o = 60 + u. Calculate the remainder when o is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 37*g**3 + g**2\/2 + g + 12. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 23*t - 18*t. Let b = -161 + 577. Suppose 0 = -k - k + b. What is the greatest common factor of k and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928658867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18956 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -372*b**2 + 2*b. Let q(d) = 2*d. Give l(q(o)).\nAnswer: -1488*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28264922*z**3 + 26*z**2 + 1184428346*z.\nAnswer: 169589532*z + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -80330 divided by 58?\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008) + -5 + 1 + sqrt(1008))*-6)**2 + (6*(((2*sqrt(343))\/sqrt(7))\/sqrt(7) + 4))**2.\nAnswer: -61632*sqrt(7) + 1313136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8355440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/9)\/f*(f*f*f\/f**(-7)*f)\/f*f*f\/(f*f\/(f*f**(-7)*f))*f**(-9) assuming f is positive.\nAnswer: f**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -12. Does 15 divide (-2)\/(f\/(45\/2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 * 43.\nAnswer: -4859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 1\/4*t**4 + 2*t**3 + 66 - 3\/2*t**2 - 2*t. What is r(-5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -242?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 18265 - 99848. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11135*o - 3474*o + 50586 - 613513 = 57614 for o.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 21 - 49. What is the third derivative of -w*n**2 - 302*n**4 + 26*n**6 + 302*n**4 wrt n?\nAnswer: 3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - i - 4*i**4 + i**3 + 65 + 0*i**4 as q*i**2 + f*i**4 + n*i**3 + j + w*i and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11 = -19. Let b(i) = -10*i + 46. Let h(w) = 4*w - 16. Let m(y) = -3*b(y) - 8*h(y). Let r(n) = -n - 3. Give x*r(g) + 3*m(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4))**50)**(4\/11)\/((q\/((q*q*q*q*(q*q\/(q\/(q\/(q*(q*q**(1\/4))\/q))*q))\/q)\/q)*q**(-3\/10))\/(q**(-7)\/q*q**(-1\/17))) assuming q is positive.\nAnswer: q**(-298213\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**3*h - f**3 - 30*f**2*h - 8*f**2 - 3*f*h - 144040*f wrt f.\nAnswer: -30*f*h - 6*f - 60*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -522.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*y = y - 24, 0 = -4*i - y - 111. Let r = i + 54. Suppose 1501 = 5*c + 4*p, 7*c + 2*p = 4*c + 899. What is the greatest common factor of c and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -10.75. Let i = -0.15 - c. What is the biggest value in 1\/5, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence med when three letters picked without replacement from ueueummeueududuueu.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -423 + 1693\/4. Which is the nearest to y? (a) 0.3 (b) 0.037 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:00 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1149*i - 69. Let g(z) = 2*z**2. Calculate g(r(u)).\nAnswer: 2640402*u**2 - 317124*u + 9522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26011 (base 10) to base 4\nAnswer: 12112123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 69926 + 19901 = 0. Calculate the highest common divisor of q and 3565.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 + 1 = 2*l, 11 = 5*z - l. Let s(u) = -36 + 2*u**z + 36. Let r(x) = -3*x + x - 3*x. Determine s(r(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-6)\/4 - 9\/(-18)). Let b be (2 + (1 - 2))*-4. Put g, b, -10 in decreasing order.\nAnswer: g, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3615?\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x - 3 = 0, -5*n - 4*x = 14. Let k be (n + 5)\/(6\/(-4)). Let r = 0.2 + 0.1. Which is the closest to -2\/5? (a) r (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytm when three letters picked without replacement from tyhmytthhptytyy.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 30*a + 66*a + 109*a.\nAnswer: 2*a**2 + 205*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sca when three letters picked without replacement from yscam?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - (5 + -3)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -35.2 >= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:37 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137834054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 25 = 4*u - 9, -3*p - 36 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -3 + -50 + 25\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 11:37 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(10)\/sqrt(5)*-2*-6 + -5.\nAnswer: -8 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + (59994\/(-101))\/(-54).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33367 (base 14) in base 6?\nAnswer: -2354451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3258272 is divided by 1630?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402324?\nAnswer: 2, 43, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 720.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2592*w**3 - 5540*w**3 + 2963*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.04 - -14.04. What is the biggest value in c, 3, -16.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 2\/5, 0.38, 2\/67, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117*k**3 + 296*k**3 - 194*k**3 + 22*k**5 - 6370*k wrt k.\nAnswer: 440*k**3 - 90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/(-18) - (-27)\/2. Solve -r - 2*r = -f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71.94*2.2\nAnswer: 158.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j - 517. What is the smallest common multiple of 1374 and o(35)?\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8953926845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 55 + (13 - 71) - -66\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/2 + 92007*p\/2 - 230005 = 0.\nAnswer: 5, 92002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*b**2\/3 + 12472*b\/3 + 247520\/3.\nAnswer: -4*(b - 182)*(19*b + 340)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.875 millilitres in litres?\nAnswer: 0.062875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 - 36\/7 + 3\/7*p**4 + 3*p + 33\/7*p**2 = 0. Calculate p.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -63, -90561, 0?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let n(v) = -2*v - 6 - v**2 + v + 0*v. What is n(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 1 + -2 + 74 is divided by (-50)\/4*(-20)\/10.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -3*x**4\/16 + 3*x**2\/8 + 23. Suppose k(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6213 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156*r**5*t + 2*r**4*t + r**4 - 89*r**2*t + 2*r*t + 4 wrt r.\nAnswer: 9360*r**2*t + 48*r*t + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -35331*j + 247946. Determine c(7).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207459 - -458912. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 11*d + 10392. Suppose 0 = -9*a + 4434 + d. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s - 3*a + 2, s - 2*a = -10. Let p(f) = -18*f**3 - 2*f**2 + 2. Let g be p(s). Let v = g - 90. What is the highest common factor of 120 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*g - 3. Let k = -2 + 2.5. Let o = 6 + -6. Which is the second smallest value? (a) k (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from rzrrscccyczzzrscrs.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -78205420 to the nearest one million.\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 6, j: 3, i: 5, q: 3, r: 1}. What is prob of picking 1 a and 1 f?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {b: 4, o: 2, k: 5, a: 8}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 27*q - 2240 = -137*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3881*x + 157*x - 767*x + 303*x - 1829*x + (-7 - 3 + 1)*(0*x + 0*x + x))*(-4*x**2 + 0*x**2 + 3*x**2) in the form u*x**2 + q*x + n + a*x**3 and give a.\nAnswer: 6026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*n = -6, -3*x + 1 = 4*n - 5. Suppose 0 = 3*z + x*z - 20. Solve z*m = -3*i - 20, 3*m + 18 = -i - 2*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3564.1 * 36\nAnswer: 128307.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.291 - -89.967. Let h = i + -71. Round h to two decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 613 and 609 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a year in months?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 6 = -34. What is the second derivative of -h - 87*h**4 + 0*h + 97*h**l wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 17477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-10)\/(-8))\/((-4)\/(-176))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/2 - 401623*x\/2 + 602439 = 0.\nAnswer: -401626, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12633840 divided by 8.\nAnswer: 1579230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttpttptptptpptttt. What is prob of sequence ttp?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -2 + 2*z + 2*z**2 - 2*z**2 - 4*z**2. Is j(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 31 + 41 = 0. Suppose -l*b - 3*b = -25. Suppose -115 = -b*r + 160. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31345)\/2*20\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100212001011 (base 3) to base 5\nAnswer: 141203021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3628079*c**2*k**2 + 79136587*c**2 + k**3 wrt k?\nAnswer: 7256158*c**2*k + 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p. Let i(d) = -d. Let f(z) = -g(z) - 4*i(z). Let b be 2 - 5 - 5*-1. Let a(s) = -4*s**2 + 3*s**2 + 5*s**2 + b*s**2. Calculate a(f(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 489, 2213, 6883, 15969, 30941?\n\"Answer: 245*y**3 + 3*y**2 + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -7)\/(-1 + (-6)\/(-4)). Factor 12 - 171*f**2 - 152*f**c + 27*f**4 - 12*f + 18*f**3 + 290*f**2.\nAnswer: 3*(f + 1)**2*(3*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -y + 18, 16 = -3*a + 7*a. Calculate the greatest common factor of y and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -549*h**2 - 99*h - 99. Let n(w) = 22*w**2 + 4*w + 4. Determine 99*n(r) + 4*p(r).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/2 + (2 - 1). Let u = -6 + n. Let f = -1 + u. What is the nearest to f in -1\/3, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**5\/60 + c**4\/24 + 13*c**3\/3 + 20. Let f(z) be the third derivative of j(z). Let u be f(7). Which is smaller: 13 or u?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 236, -43?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 2*h. Suppose 16*g = 49 - 1. Let t = -18 + 8. Let y = 14 + t. Let u(a) = 2*a**2 - 2*a. Give g*b(l) + y*u(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54900\/90 - (-1 + -5). Calculate the greatest common divisor of h and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -150045*b + 150060. Give p(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 400 = -303. Which is greater: k or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = 1. Suppose -36*o + 8*o - 448 = 0. Sort o, c, 2 in ascending order.\nAnswer: o, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4594 + 13880. Is 34 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.02 in 2, 0.5, 0.1, -1171, 0.2, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 1, r: 3}. What is prob of picking 1 c, 1 r, and 1 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 511 - -76?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -0.2 (c) 0 (d) -4491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*k + 93*k - 227*k = 156*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -997*v - 1218 wrt v.\nAnswer: -997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o + 4. Let b(w) = -w + 1. Let z(r) = -18*b(r) + 4*v(r). Let c(u) = u - 1. Determine -13*c(x) + 6*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1405382 - -5?\nAnswer: -1405377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1894 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207724 is divided by 7624.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 1. Let q(l) = 3*l**3 - 4*l**2 + 4*l - 5. Let o(h) = -q(h) - 2*t(h). Let a be -1*((-4)\/(-5))\/(24\/(-60)). Calculate o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + 8*l + 9*l. Let n be (-3)\/(-4) - (1755\/12)\/(-5). Let g(c) = 115*c - 25*c - 30*c - 29*c - n*c. What is r(g(d))?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43102587?\nAnswer: 3, 11, 1306139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195161298?\nAnswer: 2, 1429, 418181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 1434. Let q(w) = 6*w. What is q(z(y))?\nAnswer: -6*y + 8604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -335+-0.4\nAnswer: -335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19903878 - -218762340\/11. Let a = m - -225037183\/13728. What is the common denominator of a and -79\/8?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130217496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(21\/(-8)))\/(-27 + 27120\/1008)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -29*d**2 - d + 6. Let b be o(-3). Let g be b\/60 + (-2)\/(-10). Let q(a) = -7*a - 3. Is 25 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 3 + 2 + -309. Let w = g - -325. What is the greatest common divisor of w and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 315, 318, 333, 366?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*l - 20. Suppose 5*n = -l, 2*h + 3*n - 40 = -0*n. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*p - 60*p + 6*p**3 + (p - p + 2*p)*(-4*p**2 + 0*p**2 + 3*p**2) in the form s*p**2 + h*p**3 + f + g*p and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 2 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*c + 40 = 0, -3*o + 5*c + 44 + 13 = -o + 89 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1*1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -60164 >= -60163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - 135. Let c = l - -57. Suppose -c*t + 92 = -397. What is the remainder when t is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4803422 and 97.8?\nAnswer: 4803519.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/12 and 109\/250.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6 - 4*3\/(-24). Put z, -194, 3, 5 in ascending order.\nAnswer: -194, z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -17, -2, 47, 142, 295, 518, 823?\n\"Answer: 2*h**3 - h**2 - 18*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/12155447 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -104*p + 23. Let j = -36 + 28. What is the tens digit of c(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9355798.\nAnswer: 2, 4677899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1968 and 17\/18?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - c = -81 - 69, -i - 2*c + 39 = 0. Suppose 2*z - 10 = 0, z + 110 - 631 = -2*h. Let v = 372 - h. What is the remainder when v is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -70, 2 in decreasing order.\nAnswer: 2, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.2, 2\/65, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/45529?\nAnswer: 2\/45529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + (sqrt(500) - (sqrt(500) + (sqrt(500) - -5*sqrt(500)))) + -1)**2)*4.\nAnswer: -50004 - 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45583 * -1399.\nAnswer: -63770617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*y**2 - 17*y**2 - 14*y**2 - 36*y**2 - 4 - 18*y**2 + 45*y**3.\nAnswer: 45*y**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -240954 not equal to -240952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32998 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (22 + -10 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + 1)*154\/132 - -12. Let s(b) = b**2 - 5*b + 1. Calculate s(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.1, -26, -2\/17 in descending order.\nAnswer: 8, -0.1, -2\/17, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335 (base 9) to base 8.\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008311847 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-59449)\/15521 - -4) + 2\/(-11). What is the third biggest value in 3, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:23 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (270\/216)\/(1\/4). Solve -m = 4*f + 5*t + 11, -18 = 2*f + 5*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Suppose -21*f = -22*f - 24. Let a = 26 + f. Let r(x) = a - 2 + 0 - 2*x. Give r(u(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10512 and 55845.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/((-1)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -263\/3, 2 in ascending order.\nAnswer: -263\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249221 = 2*n + 364383. Let v = n - -1217523\/4. Let i = -2440 - v. Calculate the common denominator of i and -121\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -59261*q. Let k(d) = -32*d**2 - 2. Give u(k(y)).\nAnswer: 1896352*y**2 + 118522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 21 - 14)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165359697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1.5. Let z = s + -3.5. Let u = 9.4 + -9. Put z, -1, u in decreasing order.\nAnswer: u, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 255*i**3 + 3365*i**2 - 2625*i - 6250.\nAnswer: 5*(i - 25)**2*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28687893, -28687890, -28687887, -28687884, -28687881, -28687878?\n\"Answer: 3*f - 28687896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/42)\/((-36)\/115739964). Let j = i + 76544. Calculate the common denominator of j and 17\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -56\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 5*q - 3. Let w be t(-6). Solve 4*s = 8, -w*d - 2 = -6*d - 4*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302\/(-102) - -1 - (-14 + 12).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 + 2 + 0\/2. Suppose 19*q - c*q + 4600 = 0. Round q to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + 5 + (sqrt(1377) + -1 - sqrt(1377)) + 4*(sqrt(1377) + -1) + 2)**2.\nAnswer: 648*sqrt(17) + 22113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-24) - (-20)\/16. Calculate the highest common divisor of 11 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 18 = -3*m. Let h(t) = 3*t + 23. Let y be h(m). Let g = -1 + y. Let x(l) = -l**2 - 6*l - 1. Calculate x(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r - 72*r + 47*r - 820 = -20*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*p + 60*p + 114*p + 16*p + 15*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001110111 (base 2) in base 12?\nAnswer: -1673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29283117, -58566236, -87849355?\nAnswer: -117132474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1 + -4)*-6 + (3*sqrt(76) + sqrt(76))*3)**2.\nAnswer: 1080*sqrt(19) + 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 10*k**2 - 22*k - 34. Let y be a(12). What is the remainder when 22 is divided by ((-26)\/y + -5)\/((-8)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20432013, 40864042, 61296081, 81728136, 102160213, 122592318?\n\"Answer: g**3 - g**2 + 20432025*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:03 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10 - 12 - ((-322)\/105 - -1). Which is the third biggest value? (a) -50 (b) 0.3 (c) -1\/3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245939 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4\/4 - 270*c**3 + 4383*c**2\/4 + 1365*c = 0.\nAnswer: -364, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13136 + 65948. What are the prime factors of a?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 36. Let p = v + 25. What is the nearest to -1\/2 in p, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 - 4*d**2 + d**2. Let f be (24\/(-36))\/(2\/(-9)). Let v(q) = -3*q - 3*q + f*q + 2*q. What is c(v(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*o - 244, 2*x - 4*o = -2*o + 172. What is the remainder when 251 is divided by x?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1204976*f**4 - 78*f**3 + 2*f**2 + 34673475*f.\nAnswer: -28919424*f - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)\/(b\/b**(5\/3)))\/(b**1\/b)**(2\/27) assuming b is positive.\nAnswer: b**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2785272 and -10381.\nAnswer: -10380.7214728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237275.\nAnswer: 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myz when three letters picked without replacement from llzdymelyzml.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1103568*b + 1103937*b - 2207514*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 2 - 23489468909276*x + 1 + 23489468909273*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 64, 239, 592, 1183, 2072, 3319, 4984?\nAnswer: 7127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)*h*h)\/(h*h*h**(-27)\/h))\/((h\/(h*h**(-3)))\/h**(10\/7)) assuming h is positive.\nAnswer: h**(2391\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = -5*x + 11, 2*x = 0. Let w be (-15)\/(-6)*-2*1. Put 4, w, m in increasing order.\nAnswer: w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*-1 + 3)*-1*-3)**2*-6.\nAnswer: -83592 + 2916*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 20 + 23)*(-j**5 + 2*j - 2*j)*(-10 + 1 - 1).\nAnswer: 50*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let o(r) = -2*r + 7*r**2 - 17*r**2 + 2*r. What is o(v(i))?\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1023707.85 to the nearest 10000.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, 1, -313?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 less than 163?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -6)*(-5)\/(-150)*(-45)\/75.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 122.\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -44. Let s = 83 + o. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449533?\nAnswer: 7, 149, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5828131 rounded to the nearest 1000?\nAnswer: 5828000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 5. Let v be h(-9). Suppose -a + v = -5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-four fifths of a kilogram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + -0.2. Let b = -352\/855 + 2\/171. Suppose -3*d = 6 + 9. Sort d, b, f.\nAnswer: d, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 597, 2452, 5537, 9852, 15397, 22172, 30177?\n\"Answer: 615*t**2 + 10*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - -2) + -10)\/(0 - (-285)\/21 - 8).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 2*v**3 + v**4 - 34 + 36 + 4*v**3 to the form u*v**3 + i + k*v**2 + r*v**4 + s*v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*c + 3*k + 37, -4*k = 4*c + 32. Let l(u) = -u**3 - 8*u**2 - 9*u - 2. What is the lowest common multiple of l(c) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 235.966 + 0.034. Let a = 235.9628 - h. Round a to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403*k**5 + 3*k**4 - 9233*k**2 - 86252770*k wrt k.\nAnswer: -8060*k**3 + 36*k**2 - 18466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 4:21 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -120203?\nAnswer: 120203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615607*c + 7776 = -615499*c for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17) + sqrt(425) + -4 + sqrt(425) + -1)**2.\nAnswer: -154*sqrt(17) + 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:39 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 0, -5*d - 9 - 3 = -3*h. Suppose 2*u = 3*y + 122, -4*u + 2*u - 3*y = -134. What is the greatest common factor of u and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcehchxxxxxchzch. What is prob of sequence chce?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - x**2 + 0*x**2 + 2*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*q - 662 + 1903 = -4471 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -285, -8 in descending order.\nAnswer: 0, -8, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 74. Suppose -4*n + 660 = -j*h, 530 = 3*n + 3*h + h. What is the greatest common divisor of 34 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2840 is divided by 1297?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1496395, -2992789, -4489183, -5985577?\nAnswer: -7481971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(12)*3))\/(-2*sqrt(490)).\nAnswer: -sqrt(3)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.0276 and -604?\nAnswer: -1224.6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -3*w**8\/56 - 7*w**5\/30 - 9*w**2\/2 - 16. Let x(r) be the second derivative of d(r). Find the third derivative of x(g) wrt g.\nAnswer: -1080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1556*w**3 + 13*w**2 + 4*w - 3. Let d be g(1). Calculate the highest common factor of d and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*s - 33360 = -s, 4*t - 33368 = -2*s. Is (-24)\/18 + t\/3 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*i + 3. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -18. Let h be -2 - -8 - (t - -3). List the prime factors of ((-4)\/h)\/(2\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 k when four letters picked without replacement from {q: 7, k: 9}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-358895)\/(-358) - (-2)\/4. Are 1000 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 u, and 1 v when four letters picked without replacement from wdduavuwvuua.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.47 + 25.47. Let v be 17\/(-21) + (-8)\/(-12). Which is the closest to -1? (a) v (b) s (c) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 42320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 5*c + 3. Suppose 4*v + 20 = 4. Let s be l(v). Suppose 0*m = -6*m. Solve 2*z + 5*u - s = m, 23 = -0*z - 2*z + 5*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81\/4 + -20. What is the nearest to v in 0.01, -2, 0?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2445789724.\nAnswer: 2, 7, 12478519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(3 + -5) - -453. Let r = -317 + h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)*(k\/((k**(-4)*k)\/k))\/k*((k\/(k*(k\/(k**2\/k))\/k)*k)\/k)\/k**(-4) assuming k is positive.\nAnswer: k**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 22 + 3 - 2*a + (a + 0*a + a)*(-8 + 3 - 4) + 2*a - 3*a - a.\nAnswer: -22*a - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t**3 + t**3 - 3*t**3)*(4*t - t - t) + 0*t**4 + 4*t**4 - 3*t**4 - t**4 + 2*t**4 + t**4)*(-32*t + 18*t - 31*t) + 72*t**5 - 112*t + 112*t.\nAnswer: 117*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2121 + 14?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 3*o - 2. Let k be n(-1). What is the units digit of 39 - (6 - (4 + k))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -270 - 621184?\nAnswer: -621454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i + q = 43, -i = -2*q - 5. Let s be 2 + i - (2 + 2). Solve -1 - s = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:39 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 70*q**2 - 220*q + 200.\nAnswer: -5*(q - 10)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11191023 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03666 and 7364.\nAnswer: 7364.03666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 64*o + 3. Let k = 42 + -10. Suppose -k*c = -31*c - 2. What is the hundreds digit of l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4238*c**5 - 3*c + 1299 wrt c.\nAnswer: 84760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/9 and -137*48\/(-12978) + (-52)\/91.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1233*x + 1271*x - 2530*x in the form o*x + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1185033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -57, -170, -389, -750, -1289, -2042?\nAnswer: -3045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 51 = -5*h, -3*h + 18 = -z - 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-34) - (-11253)\/1581\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(6\/7)*u\/(u\/(u**(-1)\/u)*u*u)*u*u)\/((u*u*u\/(u\/u**8)*u)\/(u*u\/(u**(1\/9)\/u)*u)) assuming u is positive.\nAnswer: u**(-457\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Suppose -3*n - 3*f = -24, -7*n - b*f = -3*n - 34. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j - 5. Let c(m) = 11*m + 3. Let n(d) = 5*c(d) + 4*z(d). Let h be -9*(1 - 2 - -2). Let u(q) = 6*q - 9. Determine h*n(l) + 5*u(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 17*c = -1680. Which is smaller: 85 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.13 + -0.33. What is the nearest to 1\/4 in t, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-8))\/((-1)\/308*1). Let x be 3*(-238)\/i + -3. Which is the fourth biggest value? (a) -0.1 (b) 4\/27 (c) -1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 192\/(-9) - (-1)\/3. Let f = y - -35. Let c = 19 - f. Let l(h) = -h**3 + 4*h**2 + 4*h + 2. What is l(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147\/(-31) - (-3)\/((-2025)\/(-25075))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 10:38 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15278 less than -6745506?\nAnswer: -6760784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 7. Let b be -3 + ((-2)\/(-5) - (-363)\/55). Let g be (((-2)\/1)\/b)\/((-5)\/50). Let t(p) = p - 5. What is g*h(m) + 7*t(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24282, 24284, 24284, 24282, 24278, 24272?\nAnswer: 24264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -39483?\nAnswer: -47\/39483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*o = -2, -8 - 8 = 2*f + 5*o. Is -2 + 17094 - (15 - 12) - f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204848)\/(-14632) - (4\/(-6) + 25\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-2)\/12). Let b(v) be the first derivative of -4*v - 1 + 3 + v**2 + i*v**2 - 2*v**3 - 1. Factor b(g).\nAnswer: -2*(g - 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/33 + (-1052)\/(-22). Suppose 48 + o = 3*f. What is the least common multiple of f and 44?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4170590 and 11040?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68791800 by 440.\nAnswer: -156345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2618*f - 1298 + 1062 = 2500*f - 6372 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.1 - 2.6. Round l to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.3264 - 33650.53.\nAnswer: -33657.8564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 11, 0.038, -0.9, 4\/13 in ascending order.\nAnswer: -0.9, 0.038, 4\/13, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80157 - -124081. List the prime factors of b.\nAnswer: 2, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203666 (base 10) to base 7.\nAnswer: 1505531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/18)\/((-40)\/16))\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 48 = 11*p. Suppose 5*k = -p*t + 327 + 616, 3*t - k - 913 = 0. Calculate the highest common divisor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -528*s + 4379. Calculate d(8).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107008 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*12\/(-2))\/((-48)\/(-192)). Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2784046.1094 rounded to the nearest 10000?\nAnswer: -2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.155 (b) 0.5 (c) 2 (d) 11217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 15 + -17 + (-6)\/(-48)*62.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 19*j**2 - j + 5. Calculate f(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8962 + 13854 = 16*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/5101813 and 79\/10?\nAnswer: 51018130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 881 - -1251. Is 82 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5721659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5339396072 take away -1?\nAnswer: 5339396073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/636 + 989\/22260. Let u(b) be the third derivative of 9\/56*b**4 + 0 + 3*b**2 + 1\/280*b**6 + 0*b + 2\/7*b**3 + w*b**5. Factor u(p).\nAnswer: 3*(p + 1)**2*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-12))\/a**10)**(-3) assuming a is positive.\nAnswer: a**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097 a factor of 118988302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 3*x = 372, -4*x = 5*i - 464. What is the greatest common factor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27259485, -109037949, -245335389, -436151805, -681487197?\nAnswer: -981341565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 340*k - 327*k - 65. Which is the smallest value? (a) k (b) 2 (c) 21 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/11)\/q)**28*(q\/((q\/q**(-7))\/q))\/q*q**(-1\/7) assuming q is positive.\nAnswer: q**(-2902\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2. Let f(j) = -311*j + 35. Determine q(f(c)).\nAnswer: -483605*c**2 + 108850*c - 6125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 33585, 3 in ascending order.\nAnswer: 3, 7, 33585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 + -26)*(1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 k, and 1 i when four letters picked without replacement from {i: 2, k: 1, u: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*v**4 - 69*v + 56*v + 139*v - 5*v**4 - 1902*v**3 + 1904*v**3 wrt v?\nAnswer: 108*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 - -226. Calculate the remainder when 69 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51163392 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10 - 15 + 46 + 2*c - 10 - 4972*c**2.\nAnswer: -4972*c**2 + 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**6 - 2*m**5 + 2*m**3 - 4*m**2 + 2*m. Let j(d) = d**5 - d**3 + d**2 - d. Let y(s) = -2*j(s) - q(s). What is the third derivative of y(a) wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2 + 152272*d = 0.\nAnswer: -76136, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 25 - 2 = -5*j, 2*z + 4*j + 18 = 0. Let q = z - -1. Factor -3*g**q - 2*g - 2*g**3 - 1\/2*g**4 - 1\/2.\nAnswer: -(g + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -67*t - 19. List the prime factors of v(-2).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*d + 20. Suppose -7*c = -d*c - 12. What is the third derivative of -y**c + y**3 + 43*y**4 - 12*y**2 - 23*y**4 wrt y?\nAnswer: 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2092, 2094, 2096?\n\"Answer: 2*y + 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1080 and 234622530?\nAnswer: 2815470360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3366*s + 13391. What is z(4)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 42e?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.006 + -68.994. Let i = 69.085 + v. Round i to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1120 - 1119. Which is the nearest to -22? (a) -2 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + j - 25, -4*t - 4*j = -0*j - 4. Let q(k) = -9*k + 43. Let g(a) = -4*a + 21. Determine t*q(c) + 13*g(c).\nAnswer: 2*c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275 - -263. Suppose -241 = 4*z - 5. Let j = g - z. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let d be 48\/28 + (-2)\/(-7). Let v(j) = -4*j + 3*j + d*j. Determine v(p(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*z - 66, 4*i - 88 = -12*z + 14*z. What is the remainder when 461 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:04 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/105)\/((-86)\/(-301)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324040226123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, u: 1, i: 2}. What is prob of sequence tu?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 782*y**4 - 9*y**2 - 40*y - 2. Let s(l) = -779*l**4 + 9*l**2 + 41*l + 3. Let c(o) = -3*a(o) - 2*s(o). Find the third derivative of c(w) wrt w.\nAnswer: -18912*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5*n + 11. Let t be b(-2). Suppose -3*h + t*i + 1051 + 591 = 0, -h + 544 = -i. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - 87. Let b = 181 + o. What is the remainder when 17 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 0 + 0)*(-2*s + s + 88*s) - 5*s**2 + 2*s**2 + 2*s**2 in the form m*s + n + a*s**2 and give a.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5474234*m. Let n(p) = 6*p. Calculate y(n(u)).\nAnswer: -32845404*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 2*w - 88. What is the greatest common divisor of 704 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 57774.306 from 167.\nAnswer: -57607.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - -6367?\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871.6096 years to centuries.\nAnswer: 8.716096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -22*c + 16*c. Factor 2\/9*b**4 + 8\/9 - 2\/3*b**2 - 8\/9*b + 4\/9*b**c.\nAnswer: 2*(b - 1)**2*(b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6814*f*y**4 + 17*f*y**3 - 3*f*y - 6176*f - 17*y**2 wrt y?\nAnswer: -163536*f*y + 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779247 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21*((-104)\/91)\/((-12)\/(-98))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 22. Let w(l) be the second derivative of 0 - 7\/2*l**2 + 1\/6*l**3 - 24*l. Determine 7*w(c) - 2*x(c).\nAnswer: -c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 13. Let n be 0 + 1 + -2 - 0. Let d(m) = -2*m**3 + m**2 + m. Let y be d(n). Solve 0 = -y*g + 2*r - 6, g = q*g - 4*r + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1516\/13 - -20598\/221. Which is smaller: -24 or o?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 5, 2\/15, 2047\/3, 0.5, 2, -1\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 73*k - 475. Let j be u(6). Put -6, j, 1\/2, 0.4, 1 in decreasing order.\nAnswer: 1, 1\/2, 0.4, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 14*l**2 + 46*l - 17. What is x(17)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1672 and 21527.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-11))\/(-1*1). Let y be (-11)\/(-11) - (-10)\/(-2). What is the smallest value in 2\/37, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-3)\/((-15)\/(-25)) + 8. Let l(i) = 3*i**2 + 1. Let q be l(-1). Determine g so that -q*g**b - 6*g**2 - 3*g + g**3 + 0*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35155 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36886998 rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 4*a + 4. Let u(v) = -3*v - v**2 - 1 - 5*v + 3*v + 4*v. Calculate -h(f) - 4*u(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48844*a**3*g**2 - 15*a**3 - 83*a*g - 127*g wrt g?\nAnswer: 97688*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*p - y, 14775*p - 14772*p - 30 = 2*y for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 - 2*h**2 - 2*h**2)*(2 - 4*h - 3*h - 5).\nAnswer: -21*h**3 - 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = w + 2, 16*w - 12 = -6*p + 14*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335 - -669. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrgrrrrarrssr. What is prob of picking 2 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 a when four letters picked without replacement from {o: 2, r: 1, a: 2, v: 6, t: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9*5\/(-180)*12 is divided by 2\/(-8) + (-10)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2358 and 36?\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.52 - 1.52. Let r = 3.5 + -4. What is the closest to s in r, -2\/47, 1?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 1, l: 1}. What is prob of sequence el?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 895019208 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 94.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -527*m**3 - 10*m**2 - 79*m - 134. Is r(-3) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(-90)\/300*(-15)\/111?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(s + 0*s - 2*s) - 4*s + 2*s + 0*s + (6 + 5 + 0)*(-4 + 3 + 0)*(-s + 2*s + s).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -2*t**5\/15 + 2*t**3\/3 - 2*t**2\/3 - 810. Factor o(d).\nAnswer: -2*d*(d - 1)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97066494, -97066487, -97066480, -97066473, -97066466?\n\"Answer: 7*y - 97066501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 17 (b) 0.2 (c) -3\/4 (d) 1\/88 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - -20. Let f(m) = -23*m**2 - 21*m**2 + y*m**2. Let t(p) = 2*p - 41. Determine f(t(n)).\nAnswer: 8*n**2 - 328*n + 3362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -0.1, -5, 5, 29.271 in decreasing order.\nAnswer: 147, 29.271, 5, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.4 (c) 0.2 (d) -744\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6612 - 85906\/13. Calculate the common denominator of 69\/44 and s.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + t)*(0*t - 2 - 2*t + 1).\nAnswer: -4*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*5\/(-25))\/((-2)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 77*l - 381. Calculate f(-7).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475980461.\nAnswer: 11, 571, 75781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*f = -17, 4*m + 1 - 25 = -2*f. Let i(j) = -j - j + j - m. Determine i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as 717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 10. Let h(s) = -3. Let g(f) = 1. Let q(i) = -2*g(i) - h(i). Let n(c) = -c**3 + 8*c**2 - 5*c - 6. Let u be n(7). Give u*q(z) + v(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 394 - 391. Suppose -4*i = -2*d - 0*d - 156, -2*i = -p*d - 74. Calculate the remainder when i is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + -11 + (-114)\/(-2). Let i = j + -43. Let q(p) = -p**3 - 4*p**2 - 3*p - 5. Let t be q(-4). Solve 2*b = -i + t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12921669 - 55412636. Let c = k + 68334209.9999953. Let x = 95 + c. What is x rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23193, -46371, -69547, -92721, -115893, -139063?\n\"Answer: m**2 - 23181*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, c: 1, p: 3, q: 1, m: 3}. What is prob of sequence mmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/34 - 1379\/68. Let r be (-42)\/(5\/2 + -1). Calculate the common denominator of (707\/35)\/(r\/(-10)) and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 5. Let h be r(4). Suppose 2*u = h + 7. Suppose u*k = 56 + 59. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 + 542*w\/3 + 272\/3.\nAnswer: -2*(w - 136)*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 489453, 978910, 1468367, 1957824, 2447281?\n\"Answer: 489457*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/45, 6, -4.27 in descending order.\nAnswer: 6, -2\/45, -4.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, 20\/51, 1\/6, 8.\nAnswer: -1\/4, 1\/6, 20\/51, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9675 and 560075.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = 18 + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2030, 3667, 5302, 6935, 8566?\n\"Answer: -i**2 + 1640*i + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2.2, 5, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(1174*b - 369*b + 954*b)*(5*b - 4*b - 2*b).\nAnswer: 1759*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-56))\/6*2\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6 + 7\/(-21)*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - ((-3795)\/308 + 36\/(-84)))\/(3\/(-168))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3 - 78. Let a(q) = 135*q**2 - q - 1. Let v be a(-1). Calculate the highest common factor of y and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -3\/22, 3, -28, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15 = -8*z + 6*z, -2*m - 3 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1669910292+430.9\nAnswer: -1669909861.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 - 4096*a - 52572 = 0. Calculate a.\nAnswer: -1011, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162008 - 112445. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/6 - 2703*b**2 + 75586*b - 1586620\/3.\nAnswer: (b - 16190)*(b - 14)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12191142 at least as big as 158484864\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44672 and 372.623155.\nAnswer: -44299.376845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22469333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 67. Let i(o) = -8*o + 100. Let w be (-4)\/(-1) + -10 + -1. Let j(s) = w*f(s) - 5*i(s). Is j(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 3*y**6\/10 - y**3\/6 + 8*y. Find the second derivative of j(o) wrt o.\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16598 - 16638) + (0 - 0 - 0 - -10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 236155*h*s + 477093*h - 2*s wrt s?\nAnswer: 236155*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(9\/7)*v)\/v**(-30))\/(v**(-2))**(-3) assuming v is positive.\nAnswer: v**(184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12000 and 109555200.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 13 = -11*q, 0 = 2*p - q + 4*q - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -9 + (-7 - (6 - 11)) + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 minus 16996437939?\nAnswer: -16996438037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -24*w**3 - 4*w**2 - 5*w + 3. Calculate l(-2).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*h*w**2 - 120*h*w wrt w.\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**1*q**(2\/3))**(-5) assuming q is positive.\nAnswer: q**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 100*v**3 - 1272*v**2 + 4352*v - 4480.\nAnswer: 4*(v - 4)**2*(v - 2)*(v + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*j + 85*j = -95*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 0.03, -2 in decreasing order.\nAnswer: 0.03, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = -2 + 37 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**3 - 4*y**2 + 2*y + 19. List the prime factors of v(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65670 at most as big as -65636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 9. Let t be r(-12). Suppose -2*o = -t*o. Suppose o = 5*d - 351 + 41. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 322*w - 19644. Give g(61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25745475.\nAnswer: 3, 5, 7, 19, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*o + 18272 - 55972, 5*v = -2*o - 25156. Let a = o + 25961. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.1, 2, 5, 7, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*k + 143, 17*a = 12*a + 5. What is the remainder when 346 is divided by k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 344 - 278. Suppose 10*l = -12*l + k. Suppose 1 = 5*a - 19, 5*a - 20 = -4*v. Solve -l*h + 5*h - 6 = v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.08418 and -0.02318 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/66737 and -50\/54603?\nAnswer: 600633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 629662.9m in micrometers?\nAnswer: 629662900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/((6\/8*-2)\/(-873))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + g**2. Let p(c) = -10*c**3 - 4*c**2. Calculate p(o) + 4*w(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-91))\/(39\/13)*-1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*-1*-4 + sqrt(475))**2 + 3 - (0 + sqrt(475)*-1 - (0 + sqrt(475) + sqrt(475) + sqrt(475))*1)) + 0.\nAnswer: 20*sqrt(19) + 11878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 121*c - 462. Determine v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -4. Let u = 31 + t. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35701 + -20688. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 - 6 = 0. Let d = u + 38. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 5583*v**3 - 47*v + 24*v + v**2 + 22*v - 6*v**2.\nAnswer: 5583*v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/55 - 172\/(-22). Let h be (-8)\/(-12) + x\/6. Solve -r + 6 = h*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 206, 309, 394, 455, 486, 481, 434?\n\"Answer: -i**3 - 3*i**2 + 119*i + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16029850 a multiple of 1325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2601373*z**6 + 206998*z**2 wrt z?\nAnswer: -312164760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1608 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319639\/20190 - 6\/3365. Calculate the common denominator of r and (2\/(-235))\/(8\/(-490)).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -19.1436.\nAnswer: -17.1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/h**(-1\/3))\/h))\/h*h\/(h*h\/(h*h*h**(-14)))*h*h\/(h**(-14)\/h)*h\/(h*h\/h**(-1\/4)) assuming h is positive.\nAnswer: h**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -53*y + 113. Let q = 41 - 29. Solve 2*o = v + q, -5*o = y*v - 4 - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 27*d**2 - 33*d + 153. What is f(4)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let i(q) = -q**n - 4*q - 3*q + 6*q. Let d(v) = -v**2 + 2*v - 2. Suppose -15*c - 57 = -42. What is c*d(x) - i(x)?\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*5\/(-15)*-3. Suppose 12 = 5*z + q - 5, -n*q = -3*z + 3. What are the prime factors of -2*z*(-655)\/30?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 - 547*i**2 + 325*i - 7357. Give c(-183).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -26. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and 43\/1004.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320029.\nAnswer: 79, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980470.3 + 0.03.\nAnswer: -980470.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -3.955\nAnswer: 8.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 120222?\nAnswer: 121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) -61 (d) 55 (e) -3\/2 (f) -2\/13 (g) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9273 and 151740?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*o + 365*o - 4 + 15 + 151*o - 10 in the form p + t*o and give t.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = -18. Let a(h) = -4*h - 15. Let y be a(q). Let f = -32 + y. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35690 and 3268.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-51373)\/(-25) - 108\/(-1350)?\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 - 0) + 2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/12 + m**3\/6 + 2*m**2 + 3*m. Let w be x(3). Let u(r) = -2*r**3 + 2*r**2 + 2. Does 13 divide u(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcfifccfffccccccff. What is prob of picking 3 f?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 + 0*k**2 + k**2. Let s(u) = 2*u. Determine x(s(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*v = -17972 + 38957 + 44490 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let a(q) be the second derivative of -29*q**4\/12 + q**2 - 38*q. Calculate r(a(j)).\nAnswer: -1682*j**4 + 232*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -932 + 932.668. Let h = 0.568 - m. What is the closest to h in -8, -1\/3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1720 and 128269?\nAnswer: 5130760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2478*a - 2446*a + 3 + 7321*a - 2370*a.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196700 and 137900?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 50) + (66 - 144).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 306 - 34. Suppose 2*y - m = 10. Solve 8*u - 1 = y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + (8 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 8922 = 2*b + 9000, -63 = -13*b + 4*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 74*n + 37*n + 34*n - 9.\nAnswer: -3*n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Let h be 3 + (-588)\/(-124)*-1 - y. Is h greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 - 314*f**3 + f + 1 + 304*f**3 - f in the form z*f**3 + q*f + v*f**2 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + 2*g)*(6 + 0 + 3).\nAnswer: 18*g + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 46 + 34 - 117 + 0*w + 39. Let o(n) = -46*n. Determine o(d(p)).\nAnswer: -92*p - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197922, 197946, 197970?\nAnswer: 197994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 + -116.3. Let f be 6\/(-15) + (-1)\/(-15). Which is the smallest value? (a) f (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-516)\/1720*(-8)\/30*50\/20\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664158819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1116*j**2 + 152*j**2 - 22*j + 5 - 6 + 0.\nAnswer: -964*j**2 - 22*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/15)\/((-3)\/45) + -1. Suppose w = 18*d - 16*d. Suppose 2*n + 2*i = -2*i + 86, -5*n + d*i + 215 = 0. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2963263.\nAnswer: 661, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.077199223 + 0.0772. Round f to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/3 + (-31 - -23)*-1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 3*f - f)*(0*f**4 - f**4 - f**4) - 30 + 2*f**5 + 30 + 43*f.\nAnswer: 6*f**5 + 43*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*s - 168. Let c = s - 25. Suppose c = a - 3*o, 48 = a - o + 5*o. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*p - 36. Let b be (0 - 6\/p) + (-231)\/(-15). Solve 3*a - b = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 - -435. Suppose 3*s - 419 = 2*t, -2*s - 31 + u = t. What are the prime factors of s?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 4\/213 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(-3 + 5))\/(-1*1). Suppose -q*s - 6*s = -30. Suppose 2*a + 3 = 3*a. Solve s*z - a - 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 185 = -49*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.0887779.\nAnswer: 0.1887779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11404932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:37 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 858*b**2*c**2 + 6543827*b**2*c + 34456*b*c**2 + 11*b*c + 2*c wrt c?\nAnswer: 1716*b**2 + 68912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3664 and -0.13?\nAnswer: 3663.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -212974818 + 4.131?\nAnswer: -212974813.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 22 = -31. Which is greater: 68 or i?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31544.548 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 3*a**2 + 6*a - 9. Let s be z(6). Let u = s - -84. Suppose -6 = -2*r - 4*k, r = -k + u - 0. Sort -6, 4, r.\nAnswer: -6, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acaacaac. What is prob of picking 1 a and 1 c?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*z = -10, 9*d - 4*d = -2*z - 40. Let o = 14 + d. Suppose -6 = -5*f + o. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -2416?\nAnswer: -7\/1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10626 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 + 46500 = 11*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neeeeeenqe. What is prob of picking 2 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553 is divided by 50\/5 + (-4)\/(2 - 6) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 6. Suppose -g = 5*i + 9, -3*g + 1 - 8 = 5*i. Put 3, m, g, -4 in increasing order.\nAnswer: -4, m, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6690709 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3432340 by -858085.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m**0*m)\/m*m))\/m)\/m)**21*(m**(-1))**(-3\/5) assuming m is positive.\nAnswer: m**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0, 2 in decreasing order.\nAnswer: 34, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-12)\/(-3) + -3). Let b(u) = -2*u**3 + 4*u**2 - 2*u + 2. Let w(a) = -2*a**3 + 5*a**2 - 3*a + 2. What is r*b(y) - 4*w(y)?\nAnswer: -2*y**3 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1.185.\nAnswer: -5.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 716, -1\/5, -4\/3, -2\/5, 740 in decreasing order.\nAnswer: 740, 716, -1\/5, -2\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4 - 2016*u**3 + 254012*u**2 + 2016*u - 254016 = 0.\nAnswer: -1, 1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-497)\/((-13761930)\/284)*5*-2?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*y - 20, 2*a + 0*y - 20 = 3*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -441 - -440. Which is the nearest to o? (a) 4\/9 (b) 0.5 (c) 8\/9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -3. Let t be (-4 - -3)\/(u\/64). Solve -c + t = -4*j - 1, 5*c - 40 = 5*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 204*z = 37*z - 2856 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -17)\/(6\/3*-1). Suppose -5*p = -2*p - 15, 5*w + 3*p - 25 = 0. Solve s*j + w = -23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (63\/15)\/3*5 - -570. Solve -a*s = -582*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421 divided by 5\nAnswer: 421\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 45 - 57 = 0. Find d such that -i + 3*d**4 - 2*d**3 - 5*d**4 - 15 - 8*d + 10*d**3 + 36*d**2 - 2*d**4 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118800.0207 rounded to the nearest ten?\nAnswer: 118800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 694, 0.17, -4\/13, -0.5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 829.7096 millennia?\nAnswer: 82970.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 1 - 2, -7 = -2*v + 3*r. Suppose -5*b + 92 = 2*m, -3*m + 10 - v = b. Calculate the highest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1238*d - 12591. Calculate r(-10).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -93.8 - 10.2\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 383506 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 4. Let h be l(5). Let m = h - 9. Calculate the remainder when 8 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8*d + 25 = 0, -2*g + 3*d + 19 = 0. Let m(x) = -g + 0*x - 3 - 2*x + 1. Let b(l) = l**3 - 4*l**2 - 6*l + 1. Let y be b(5). What is m(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylymmmmyyyml. Give prob of sequence mylm.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29438 + -29433. Suppose 25 + 0 = m. What is the least common multiple of i and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 395.9343 milligrams?\nAnswer: 0.0000003959343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/9*47\/((-893)\/57).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 186?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -8) + -64 + 54. Factor 2\/13*p**2 + y*p + 4\/13*p**3 + 0 + 2\/13*p**4.\nAnswer: 2*p**2*(p + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -2 (c) 0.4 (d) 85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l + 107. Determine m(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*v = 345*v + 326*v. Factor 4\/5*h + v - 6\/5*h**2 + 2\/5*h**3.\nAnswer: 2*h*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/11 - 18740*m**3\/11 + 56154*m**2\/11 + 449776*m\/11 - 1498720\/11 = 0. Calculate m.\nAnswer: -5, 4, 9367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78174 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.062630767 to 5 dps.\nAnswer: -0.06263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in -15, -0.2, -4, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -275\/4 + 69. Let x = -0.09 - -0.19. What is the nearest to x in -2\/3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -149. Calculate the highest common divisor of z and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.198*-0.29\nAnswer: -0.05742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111522 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -24243, -41, 101 in decreasing order.\nAnswer: 101, -41, -24243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*r**2 - 510*r**2 - 512*r**2 + 1533*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4675809*x**3 - 3976589*x wrt x?\nAnswer: 28054854*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -33658 (c) 132\/7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m**3 - 6*m**2 + 38*m + 8. Let v(q) = -4*q**3 - 2*q**2 + 13*q + 2. Give -2*s(n) + 7*v(n).\nAnswer: -2*n**3 - 2*n**2 + 15*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 25 - -1) + (43 - (70 + -15)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**4\/12 - m**3\/2 - m**2 + m. Let j(a) = 4*a + 2. Let s be j(4). Suppose -s*r - 57 = r. What is n(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -331, -357, -81, 497, 1377?\n\"Answer: 151*g**2 - 479*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(171) + -2 + -4 + (sqrt(19) - (sqrt(19) - sqrt(19)*-3*4))*-5)**2.\nAnswer: -756*sqrt(19) + 75442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69478960*c + 3*c**2 - 3*c**3 - 3*c**2 - 69478960*c + 10.\nAnswer: -3*c**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d + d - 4*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11268 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 252?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -21*5\/15 - -41. What is the third derivative of 57*m**2 + j*m**6 + 39*m**2 + 85*m**6 wrt m?\nAnswer: 14280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10*-2 + 54\/10. Solve -h*y + 15 = -0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -2\/9, 4, 1, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 7*u**2 - 4*u + 2. Let v be o(-4). Let b = -28 - v. Suppose 314 + 164 = b*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18 + (-1845)\/105 + (-151)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.79 - -0.69. Let r = 0.03 - 5.03. Which is the closest to -2\/7? (a) r (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i - 3*i + 1 - 2. Let f(k) = k + 9. Let v be f(-5). Let j(p) = -p**2 - p + 7. Let n(o) = v*h(o) + j(o). Determine n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - f = 26*f - 1914. Let p be (-1 - 0)*-141 + 2. What is the greatest common divisor of f and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92\/3 - 31. Let g = 11 - 11. What is the biggest value in g, l, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858757 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5859 and 9430758.\nAnswer: 198045918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - m**2 - 2061*m**3 + 68 + m**4 + 2059*m**3 - 2*m to o*m**3 + h*m + b*m**2 + d + y*m**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 13*g**2 + 14*g - 25. Calculate n(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28 + 4 + 44*i - 52*i wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 218 = -222. Sort -2, -36, 1, g in descending order.\nAnswer: 1, g, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19695 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 462 - 460. Let q = -2466 + 22222\/9. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -2.95. Let g = 3.2 - j. Let m = -0.255 - 0.745. What is the nearest to m in 0.4, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5010 and 832161.\nAnswer: 8321610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*p - 26. Let f(v) = 35*v - 15. Let u be f(p). What is the first derivative of -33 - u*j**3 + 287*j**3 - 136*j**3 wrt j?\nAnswer: 78*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 7*m - 7. Let i be g(7). Let x = i + 6. Let j = -2 + x. Which is the nearest to -0.1? (a) j (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -5. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11468.8 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**2. Let b(c) = c + 1. Let o be (1 + 32)*((-42)\/(-1))\/7. Let m(w) = 9*w**2 + 99*w + 99. Let k(x) = o*b(x) - 2*m(x). Give k(f(p)).\nAnswer: -648*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 17*i**2 + 32*i - 14. Let a = 54 + -39. Let o be m(a). Solve -2*t + o = -2*h + 2*t, 0 = 3*t - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1391 and -1118.3.\nAnswer: 1555555.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Suppose -7 = -5*z + 23. Let h be 9 - z - 1\/1. Is d > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f**2 + f**5 - 15*f**6 + 0*f**5 - f**5 wrt f.\nAnswer: -1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 8*o + 153*o**3 - 154*o**3)*(57 + 111 + 48)*(o - 5 + 5) to p*o**3 + z*o + r*o**4 + a*o**2 + b and give a.\nAnswer: -2376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-20) - 1347345\/(-50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:01 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (40 - 18) - (1 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -90026, -180050, -270072, -360092, -450110, -540126, -630140?\n\"Answer: u**2 - 90027*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/3 - u. Let o(y) be the third derivative of -1\/15*y**5 + 0*y**3 + 0*y**4 - 5*y**2 + 0*y + 0. Calculate o(r(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from faf.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iivixvbcxi. Give prob of picking 4 i.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1393 + 768 = 3*w, -2*j = -2*w + 1424. Suppose 3*o + m - 1474 + 356 = 0, 2*o - w = 5*m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/5 + 18\/(-45). Suppose -u + 2*y = -29, 3*u = -3*y + 75 - i. Suppose -5*b + u = -195. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 1. Let z(t) be the third derivative of 0*t**4 + 1\/3*t**3 - 1\/120*t**6 + 1\/30*t**5 + 0 + 2*t**2 + 0*t. Let v be z(2). Give k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2836\/987 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483506 and 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 2. Suppose -2*v = -5*n - 31, -21 = -v + 4*n - 1. Calculate the remainder when m(v) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -31, -38, -47, -58, -71?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2240*-19\nAnswer: -42560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1007089636976085 and 0.5.\nAnswer: -1007089636976084.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154716 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25093*o**2 - 6279*o**2 - 6279*o**2 - 6291*o**2 - 6291*o**2.\nAnswer: -47*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/25, -5, -55, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:54 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -6)*3\/4. Suppose -p = 2*d + 2*d + 8, 0 = 2*d + 6. Suppose m + p = -5*g + 24, j*g - m = 12. What is the remainder when 10 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -148*b - 44*b + 56*b as x*b + f and give x.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2059, 11936, 38735, 90916, 176939, 305264, 484351?\n\"Answer: 1410*v**3 + v**2 + 4*v + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184\/(-6)*(-3)\/(-12)*-18?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1484, 2963, 4438, 5909?\nAnswer: 7376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 15) to base 2.\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 105*r = -104*r + 21, 2*s + 36 = -4*r for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 103572035?\nAnswer: 207144070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -667 + 670. Which is the nearest to -0.2? (a) j (b) -2\/3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2. Let o(t) = 10*t + 6. Let s(p) = -10*p - 5. Let h(a) = 5*o(a) + 6*s(a). Calculate h(f(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 3 - 5 - 136*o.\nAnswer: -136*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/9 - 58*f**4\/9 - 242*f**3\/9 - 2*f**2\/3 + 116*f + 96 = 0. What is f?\nAnswer: -24, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from {r: 2, m: 1, i: 1, c: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 1:16 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 - 61. Let n(t) = -9 - 201*t - t**2 + l*t + 101*t. Suppose 4*i + 1 + 27 = 0. Give n(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*d**4 + 2 - 2*d**3 - 815*d**2 - 1 + 813*d**2 to i*d**4 + w*d**3 + r*d + b + k*d**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**7\/21 - 3*p**5\/10 + 20*p**2. Find the third derivative of f(u) wrt u.\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c**2 + 12*c**2 - 27*c**2 - 17. What are the prime factors of a(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {y: 1, o: 2, u: 1, p: 5, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuquxzzxu. Give prob of sequence uq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 933915451 to the power of 1\/2, to the nearest integer?\nAnswer: 30560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(-1\/6)*(f*f**(2\/13)*f)\/f**3)**(-1\/48) assuming f is positive.\nAnswer: f**(145\/7488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*63*(-249)\/(-11620)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -890 - -1421. Suppose 138 - p = -f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1792)\/(-105) + -17 - 563982\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76782442 is divided by 19195610.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 4*p - 6. Let y be v(5). Let n(x) = -9*x + 0*x - 9*x**2 - 5 + 8*x**2. Let o be n(-9). Which is the biggest value? (a) o (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 13*v - 6 = 0. Solve -2*p - 3 = i + v*p, -p = -3*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/13? (a) 3 (b) -5 (c) -2\/7 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (16\/20 - -1 - 5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9537696 divided by 6?\nAnswer: 1589616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 176*c - 752*c + 195*c + 6 + 191*c + 188*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132*t - 106*t + 128*t - 1017170. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 9*v**2 - 10154*v + 50797. Determine y(5).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*z + 15 + 26 = 0, -37 = s - 4*z. Let u = 27 + -6. Let w = s + u. Is -2\/47 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79720 and 1440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1792 by -26.\nAnswer: 896\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 68005, 136008, 204007, 272002, 339993?\n\"Answer: -2*b**2 + 68009*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**3 + 957*g**2 - 712*g + 1924. Determine n(-240).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -8. Find the third derivative of 3*w**2 - 2*w**2 - w**6 - w**c - w**6 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -8*w + 12*w. Let k be 0 - (2 - 3 - w). Suppose -k*z + 4*z - 21 = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 349, 1426, 3225, 5746, 8989, 12954, 17641?\n\"Answer: 361*h**2 - 6*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 + 0*i**2 - 4*i**2 + 3*i**2 - 4*i**2 + 2*i**2 + (-i**2 + 0*i**2 + 2*i**2)*(-2 - 7 + 5) to the form b + h*i**2 + w*i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 201240 and 0.17.\nAnswer: 34210.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjjd when four letters picked without replacement from {v: 7, x: 3, d: 5, j: 4}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 3*j + 31 = 0, x + 2*j + 6 = 0. Suppose 5*g - 6956 = k, -1390 = -5*g + x*g - k. Suppose g - 385 = 2*b + 2*y, 5*b + 4*y = 2515. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmpmpmpmmmmmmppmmpm. What is prob of picking 3 m?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2245657 - -12?\nAnswer: -2245645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcu when three letters picked without replacement from {c: 2, b: 5, u: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16 - -15) + (-5)\/(-8). Suppose 1 - 4 = -f. Let q = 1 - 3. Put f, q, p in decreasing order.\nAnswer: f, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1976109 from -9.953.\nAnswer: -1976118.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 169, 614, 1327, 2308, 3557, 5074?\n\"Answer: 134*n**2 + 43*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2432 * -9017\nAnswer: -21929344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 8*p - 2. Let q be z(-7). Suppose -347 = -q*g + 123. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 29 = -119. Calculate the remainder when 5 - (1 + -52) - 10\/2 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 87.8\nAnswer: -26.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 105*o**2 + o - 134. Calculate a(0).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 272\/(-16) - -17 - (-19 - -7). Solve -y*n + 8*n + 5*l = -38, 3*n - l = 23 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/91160 and 49\/120.\nAnswer: 273480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21502 + 21508. Let k = -29 + 41. What is the greatest common divisor of f and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - 17\/(-36). Let w be (1 + -1)*9\/(-18). Which is the smallest value? (a) -1\/2 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2540, 10280, 23236, 41426, 64868?\n\"Answer: 3*b**3 + 2590*b**2 - 51*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/(37\/1739*(-40)\/24).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 6*v + 2. Let m(x) = x**2 - x - 1. Let p(r) = 10*m(r) + 2*u(r). Determine j so that p(j) = 0.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + c - 1. Let l(g) = 15*g**2 + 5*g - 16. Suppose j = 4*p + 17, -3*p - 3*j + 7 = 31. Let s(q) = p*n(q) + l(q). Differentiate s(i) wrt i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29257 or -10?\nAnswer: -29257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (2 - 18 - (-77 - -69)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24.00768 and -0.0665?\nAnswer: 23.94118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55944)\/630036 - 1*4\/(-22)?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 11 - 6 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 33*f + 38*f - 174 = 0, f = -3*r + 147. What is the remainder when 857 is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (3 + -15)\/(-3). What is the nearest to 0 in u, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, z: 14}. Give prob of sequence zzzx.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -265*y - 1051. Let l be z(-4). Let b(s) = -s**2 + 16*s - 70. What is b(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 0 + 0 + (-3*k + k + 3*k)*(2 - k - 2) + (-k**2 - 2 + 2)*(-3 + 1 + 3).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199.94 + 200. Let m(j) = -j - 5. Let y be m(-4). Let o = -3.96 + -0.04. Which is the nearest to y? (a) h (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2288 minus -68976?\nAnswer: 66688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9397 - -41?\nAnswer: -9356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/12 + 7*i**3\/6 - 11*i**2\/2 - i. Let z(l) = -l**3 + 3*l**2 + 15*l + 8. Let h be z(6). Is w(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-6)*w)\/w*w*w\/(w\/w**(-2)*w)*(w\/w**1)**(1\/16))**(1\/8))**(-38) assuming w is positive.\nAnswer: w**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 176 + 16. Let y = -69 - z. Suppose 392 = y*x - 7*x. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 1)\/(2\/(-6)). What is the units digit of ((-6)\/g)\/(1\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4464163 and 463661?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4196, -17651, -40078, -71477?\nAnswer: -111848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15799 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 20 = 4*c, m + 4*c = 6*c - 10. Solve -4*q + 2*r + 2 = 0, -5*q + 3*q - 4*r + 6 = m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 82*u - 84*u. Suppose -u = -4*m + 4. Let h be (-9 + m)*(-1)\/(-3). Solve -j - 4 - h = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 201 = 28*h + 81. What is the remainder when 1503 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98393090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -229\/4830 and -13\/231.\nAnswer: 53130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109318117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - q = 6, 5*v = 7*q - 242287 + 242352 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 101000 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 655? (a) 16 (b) -2\/7 (c) -11 (d) 2 (e) -1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x + 1540. Suppose -10 = -g + 2*m, 2*m + 2*m + 20 = 5*g. Let v be t(g). Round v to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6575, 8984, 15489, 28136, 48971, 80040, 123389?\nAnswer: 181064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-25 - (4 + -57)) - 94.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 r when three letters picked without replacement from gqyqqcctrqqrqgcrq.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t - 7 - 3*t + 0*t. Let v be x(5). Let c be 39\/(2 - 15\/9). Calculate the highest common divisor of v and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116.5 - 112.7. Which is bigger: s or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**3 - y**2 + 9*y - 9. Give n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 136 = 4*s, 12 = -2*s - 3*o + 55. Suppose -2*h - 3 = -s. What is the remainder when 24 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oueuoyeueeeeoe. Give prob of picking 1 o, 1 e, and 1 u.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, v: 2, e: 2, a: 1, m: 4, h: 1}. Give prob of picking 1 k and 1 m.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*l - 31 = h, l = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-169416)\/2067 - 37.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17 + 35 - 17. Let d(o) = 7. Let q(z) = -d(z) + 6*t(z). Let a(r) = -r + 5. Give -a(c) - 5*q(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 + d + 1. Suppose -6 - 4 = -5*o. Suppose 5*z - 11 = o*u, -z = z - 6. Calculate the remainder when 41 is divided by w(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 0.049, 0, 5\/4?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -122*q + 1350. Calculate the lowest common multiple of (-1)\/((-1)\/50) - 2 and q.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332239190 a multiple of 3055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 59*g - 86. Let l be k(9). Solve -l*r = -441*r + 28 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 912\/(-12996)*((-3)\/(-30)*4 - (-44)\/40)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 63*f**2 + 139*f - 405. What is i(64)?\nAnswer: 4395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12491*i + b = -12495*i - 13, 5*b + 14 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512369941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3117888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 8*w - 14*w. Factor 47*s**2 + 17*s + 19*s + 26 - 41*s**2 - 9*s**w - 3*s**4 - 2.\nAnswer: -3*(s - 2)*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/3 - 6. Let z(c) be the first derivative of -c**2 + 23*c + 15857. What is o(z(k))?\nAnswer: 4*k**2 - 92*k + 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51300 + 51309. Calculate the smallest common multiple of (19 + -1)*(3 + -2) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57362340 and 2400?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n)\/(n\/n**(-2\/53)))\/(n\/((n*n**(-3)*n)\/n))**(1\/4) assuming n is positive.\nAnswer: n**(-1561\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 0, -3*j - 7*y + 5 = -3*y. Sort 0, j, 5 in descending order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/5 and 0.230564583 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 396, 3, 2, 463, -2 in descending order.\nAnswer: 463, 396, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (11 + -9 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 2*i + 2. Let w be b(-3). Solve -2*k = 2*x + 12, -3*x + 21 = -5*x - w*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1554)\/12950)\/((-9)\/(-60))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -16008 to the nearest 100.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16488.86ml to litres.\nAnswer: 16.48886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -77. Let x = z + 533\/9. Sort x, -3\/4, -4.\nAnswer: -4, -3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84465 + 20151?\nAnswer: 114626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*u**2 + 34*u**2 + 9 + 35*u**2 to the form z + v*u + l*u**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36 - 33118\/(-145)) + (-1)\/((-10)\/(-4)). Calculate the greatest common factor of 168 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20*j + 1872. Determine m(-96).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*w + 74 = 41*w - 73*w. Solve 1172 = w*t + 1184 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:52 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 166*r + 1194. Give n(-7).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -304, -305, -306, -307?\n\"Answer: -w - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.1 - 11. Let v be -6 - (-6 - (455\/(-63) + 7)). Let n = 13\/7 + -2. What is the nearest to m in v, 2\/21, n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:47 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:32 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 217943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(4 + 152\/12). Let p(b) = -7*b**2 + f + b**3 - 43 + b + 3*b. What is p(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*b**2 + 818*b**2 + 2678*b**2.\nAnswer: 2775*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 222398 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 2*i - 1. Let j be f(-1). Let m be (352\/(-86))\/j + 1. Let q = 77\/387 - m. Which is the biggest value? (a) q (b) 0.6 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/137600*-86*(-15)\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-5))\/((-3)\/(-45)). Let n(v) = v**2 + 15*v - 22. Let x be n(-17). Calculate the highest common factor of h and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*m = -30, -4*j + 9*m = 10*m + 15. What is the third smallest value in j, -15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Let o(q) = -b + 3 + 13*q - 8 + 1. Let s be o(-4). Round s to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 125 = -2*x. Let g = -13 - x. Suppose -3*t - 3*u = -g, -3*u + 10 + 2 = 0. Solve 2*d = q - 0*d, 5*q + d = t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2. Let a(u) be the first derivative of -3*u**2\/2 - 51*u + 1731. What is a(v(j))?\nAnswer: -12*j**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*z + 82 + 176 = 0, 0 = -5*j + z - 418. Let p be (-33948)\/j - 2\/14. Calculate the common denominator of 1\/(-5) - p\/(-120) and -47\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 i when three letters picked without replacement from {i: 1, j: 3, m: 6, v: 1, w: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437589 + -4700589. Round m to the nearest one hundred thousand.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.383725011 to four dps.\nAnswer: -5.3837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - a + 7*a - 1 - 11*a. Let y be c(-1). Let b(j) = -2*j + 17. Let l be b(y). Solve -p = l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 + 2 = 0. Let d be 2 - (-135 - (-3 - b)). What is the greatest common divisor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.4926, 0.4, -1\/4, 0.08, 2, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sprrrprs. What is prob of picking 1 s and 2 r?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from lllllllllllllllnllll.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19935117.22 to the nearest 100000.\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -168, 585, 42 in decreasing order.\nAnswer: 585, 42, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 18 and -0.07205.\nAnswer: 17.92795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22691 is divided by 186?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36304 - 36272. Let r(y) be the second derivative of -l*y + 242*y**2 + 1\/3*y**4 + 44\/3*y**3 + 0. What is c in r(c) = 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 49*b + 536 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11914 + 12494. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1495 (base 13) in base 9?\nAnswer: -4087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -711.858?\nAnswer: -4271.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 25, -2*h + 2*g - 7*g = 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/11 and 74\/14*((-65)\/(-125))\/(-13).\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535078 is divided by 580.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130727050?\nAnswer: 2, 5, 67, 39023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2742 + 1431 - 1446)*(0 - o**2 + 0).\nAnswer: 2757*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26179*h*y - 217*h + 3091461*y with respect to h.\nAnswer: 26179*y - 217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 6*n**4 + 5*n**4 + 2*n**2 + 18*n + 2 - 46*n to a*n + d*n**4 + s + l*n**3 + u*n**2 and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**7\/315 + 7*t**6\/540 - t**5\/90 - t**4\/36 + 20*t**3\/3 - 2. Let p(o) be the third derivative of w(o). Factor p(b).\nAnswer: -2*(b - 1)**2*(4*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*a + 7, 3*x - 3*a - 16 = -1. Let d = -5 - x. Let k be ((-6)\/d)\/(6\/28). Solve -1 = -k*b + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2473*f + 12415. What is the remainder when 558 is divided by w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 + 6*o - 4. Suppose -2*z + 14 = 6. Let i be m(z). Solve 5*b = i*n, 0*n - 2*b + 7 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 31. Which is the closest to -1\/4? (a) s (b) -65 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-91) + (-6)\/21. Let b = -2.9 - -3. Let u = -9515.2 + 9514. What is the nearest to b in -0.5, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 2*d**2 + d. Let h(p) = -p**3 + p**2 - 1. Suppose 0 = -36*z - 30 - 42. Give z*h(n) - k(n).\nAnswer: n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*d - d, -5*n - 5 = 5*d. Suppose 0*j - 6 = 3*f + 3*j, 41 = -d*f + 4*j. Let o be (-4)\/6*(f + (-20)\/(-2)). Sort -14, -5, o in ascending order.\nAnswer: -14, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/139899385 or 1?\nAnswer: 2\/139899385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 229*x + 21. Let l(c) = 459*c + 49. Determine 3*l(v) - 7*q(v).\nAnswer: -226*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.031, 0.3, -27.106?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-38 + -3)\/((-1)\/(-2)). Suppose -j*k - 3528 = -91*k. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a - a**2 + a)*((2*a + 0*a - 4*a)*(0*a - 2*a + 0*a) + (0 - 1 - 1)*(-a**2 + a**2 + a**2)) to the form t*a**2 + g + j*a**4 + k*a + o*a**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1268 divided by 23103.\nAnswer: 1268\/23103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 9 + 19. Suppose -26 = -2*f - f - 5*q, 0 = -2*f + 2*q + y. Let s = -5 + f. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (1 - -1) + -3. Let o = 4 - n. Let t = o + 1. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2)*(8 + 5*c + 3*c - 4*c) as s*c + o and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 12400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255849101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212 + 100?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3 - 5) + 0)*-1. Suppose 0 = n - g - 0. Let l(x) = 3*x**3 + 3*x - 2. Is l(n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(3136) + sqrt(3136)))\/(6*-2*sqrt(112)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.216 + 0.432. Let r = k + -0.21612. Round r to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*j + 2 = 17*j + 2. Solve -2*k - c - 1 = 0, -4*k + j*k - 4*c - 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/6 (b) -2\/3 (c) -13.79 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*o - 6, -6*r = -2*r + o - 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/11)\/r**7)\/(r**7\/(r**(-1\/8)\/r)))\/(r**4*((r*r**0)\/r)\/r*((r\/(r*r**(2\/7))*r)\/r)**17) assuming r is positive.\nAnswer: r**(-8061\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**4 + 312208*m**3 + m**2 - 4626517 wrt m.\nAnswer: -8*m**3 + 936624*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 48 = -26*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*q**2 + 168*q**2 + 12*q - 980 + 3*q**4 + 979 to the form i*q + f*q**3 + w*q**2 + l*q**4 + z and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:19 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**7\/630 - 8*h**6\/45 + 128*h**5\/15 - h**4\/12 + 18*h**2 + 219*h. Let r(q) be the third derivative of b(q). Factor r(m).\nAnswer: 4*(m - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6117.7 + 6118. What is the closest to s in -1\/5, 5, 304?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224237 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -961, -960, -959?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 451752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20604 divided by 204.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let d(x) = 2709 - 3*x - 2709 + 137*x. Give q(d(g)).\nAnswer: -35912*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9144835 (base 10) in base 14?\nAnswer: -1300947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1065 + 1073 + (0 - 44)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-4) + (7 - 7). Is 0 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -4.\nAnswer: -9, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 2*w**2)*(12 - 32 + 27) - 19*w - 2*w**2 + 16*w - 15*w.\nAnswer: -9*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 = 20*t - 24*t + h, 0 = 3*t - 2*h - 288. What is the greatest common divisor of t and 1269?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115.02 - -100.02. Which is the fourth biggest value? (a) -1 (b) l (c) 4 (d) -2\/5 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.017 + 19.983. Let l = q - 19.999. Let w = l + -4.001. Sort -0.4, w, 0.1.\nAnswer: w, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 9. Sort -1, -3, n in ascending order.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -15 - (56 - 25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c0b + 2?\nAnswer: -1c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*h - 53*h + 13992. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n + 2. Let s(c) be the second derivative of 2*c**3\/3 - c**2\/2 - 19*c - 1. Determine 2*r(i) + 5*s(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*w + 102. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 - -144. Let m = 281 - a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -2\/21, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riirrirrrr. Give prob of picking 2 r.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -5, -49433 in descending order.\nAnswer: 3, 2, -5, -49433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 40*j + 54106 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x + 31*x - 156. Solve -5*k = -t + 24, 3*k + x*t = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10026741?\nAnswer: 3, 37, 103, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/234 and 37\/4277.\nAnswer: 76986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 114 - 161. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2*(-4)\/(-8). Let z(t) = o*t**2 - t**2 + 2*t**2. Let m(k) = 4*k. Calculate z(m(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176719 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 741262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2394254*w**2*z**4 - 2753*w**2*z**2 - w**2*z - 7*w**2 - 2*w*z - 3*w - z**4 + 3*z**3 wrt z.\nAnswer: 57462096*w**2*z - 24*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i, -d + 3*i - 6*i - 1 = 0. Suppose 82*p - 132 = 49*p. Suppose -p*x + d*x = -12. Let r(w) = -w**2 - 4*w - 3. What is r(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t**2 + 385*t + 384. Let d be j(-1). Solve -d*k - 124 = -108 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/3 - 76*t**3\/9 + 14*t**2\/9 + 268*t\/3 + 80 = 0. Calculate t.\nAnswer: -12, -3, -1, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 11. Let g(c) = -2*c + 6. Let n(x) = -2*d(x) - 5*g(x). Let r be n(3). Solve r*p - 7 = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z\/(z**3*z)))\/(z*z**8))**(-33)\/(((z*z*(z\/(((z\/(z*z**(-1)))\/z)\/z))\/z)\/z**5)\/(z*z**(-2\/7))**(1\/6)) assuming z is positive.\nAnswer: z**(4247\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 33*w + 33*w)*(-5*w**2 + 0*w**2 + 6*w**2) - 2*w**2 + 3*w**4 + 2*w**2 to the form b*w**2 + t*w**4 + k + z*w + q*w**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 + m**3 - m**2\/2 + m - 1. Let s = -332 + 336. Suppose -3*v + 0*v = -o + 4, -s*v - 4*o - 16 = 0. What is h(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 - 2291*b**3 + 135387*b?\nAnswer: 24*b**2 - 13746*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*y + 2515, -12*y + 5*w - 4180 = -17*y. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 39*b - 583. Calculate the remainder when 354 is divided by n(-13).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534589.3 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40233 is divided by 134.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Suppose 1 = -2*f - s, -7 = -3*f + 8*f - 2*s. Which is the third biggest value? (a) f (b) 1 (c) r (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, w: 8, k: 2}. Give prob of sequence ww.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 24 = -3*c, 4*u - 36 = -3*c. Suppose -3*o + 387*j - 390*j + 78 = 0, -5*o = -j - 118. What is the lowest common multiple of o and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 2*a - a)*(2866*a - 4460*a + 5250*a) to the form g*a + n + m*a**2 and give m.\nAnswer: -10968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -11*n + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 47 = -5*y + 2*h, -2*y - 2*h + 82 = 0. Let t = -53 + y. Let u be (156\/(-20) + 6)\/(3\/t). Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-4)\/16). Find the third derivative of -2*k**u + k**4 + 0*k**4 - k**4 + 2*k**6 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20264)\/149 - (-75 + 16).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 552 = d, 3*v + 2*v + 1398 = -2*d. Let p = 278 + v. Are 2\/341 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 3*c**2 + 10*c - 4. Suppose -14*p - 13 = -69. Let u be k(p). Suppose 5*b = -87 - 138. Is u less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 173, -89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h**2 - h)*(-3*h + 3*h + 2*h**2) - 4*h**4 - 33*h**2 + 33*h**2 + 1.\nAnswer: -2*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -27*v**2. Let j(o) = -8*o + 10*o - o. Determine t(j(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 1. Suppose -4*g = -g - 5*y - 25, 0 = g + 3*y + 1. Let s = 16 + -11. Calculate the remainder when k(g) is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 193*v - 2520. What is b(13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*a - 5*a. Suppose a*f - 2*f = 0. Suppose 4*s = -2*p + 28, f = -3*s - 6*p + 2*p + 11. Is 1\/2 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/82 and 1\/(-42) + 6\/63?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 - 316*o**2 + 19 + 318*o**2 + 72 as a + k*o + s*o**2 and give a.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**2 + 3*d + 14. Let t(j) = 2*j**2 - j - 3. Calculate a(x) + 5*t(x).\nAnswer: -2*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9*f**(-10))**(2\/19) assuming f is positive.\nAnswer: f**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/3)\/d)**(-2\/11)*d*d*(d*((d*d\/d**(-1\/4)*d)\/d)\/d)\/d*d*d**10)**(-25))**(20\/9) assuming d is positive.\nAnswer: d**(-239125\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 5)*(-6)\/(-8). Let d be ((-1)\/2)\/(o\/(-72)). Does 18 divide 2\/d - 282\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6285 and 6?\nAnswer: 6291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2. Let b(n) be the third derivative of 0*n + 0*n**3 + 1\/24*n**4 - 11*n**2 + 0. Calculate b(s(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76930, 153123, 229322, 305533, 381762, 458015, 534298, 610617?\nAnswer: 686978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 40 = 5*y, -28 = -4*y - 3*g + g. Calculate the lowest common multiple of 11 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 12985803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*w**2 + 566*w + 553 + 4043 + 52 wrt w?\nAnswer: 6*w + 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 22 + 31 + -100?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6462655729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 111\/4*u**4 - 19\/2*u**2 + 0*u + 0*u**3 - 37. What is the second derivative of v(o) wrt o?\nAnswer: 666*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 68 (c) -1165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116596 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57493844*o**6 - o**2 - 511680*o - 3.\nAnswer: -6899261280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adr when three letters picked without replacement from {d: 3, r: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8928*t - 5358 = 8834*t for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*2)**2*5*-4 + -5.\nAnswer: -54725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c + 73. Suppose -w - 3*j = 0, 5*w - 5*j = -j. Suppose -2*r + 2*z = 3*z - 42, 2*z - 46 = -2*r. What is the remainder when y(w) is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/114690 and 40\/80283?\nAnswer: 802830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 25 - 10 = 0. Let g(y) be the second derivative of -11*y**5\/10 + y**3\/3 - y**2\/2 + 16*y. Is g(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605656 (base 10) in base 5?\nAnswer: 123340111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7*o - 85 = 2*o, 0 = 2*o + 10. Suppose -v + 335 = 5*y. Suppose -55 = -3*f + 5*g, -5*f - 2*g + y = -g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/451 + 932\/6765. What is the closest to 0.1 in 4, z, -0.05?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 522\/290*5\/6. What is the nearest to -1\/4 in f, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jja when three letters picked without replacement from woaoswsaasajasf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -10*h - 124. Solve 0 = y - h + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 0*f**3 + 0*f**3 + 2*f**4 - f**3 + f**3 + (-2*f**2 + 0*f + 0*f)*(-2*f**2 - 2*f**2 + 6*f**2) - 1684 + 1684 + 18*f**4.\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 786800634 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - 1) - 0 - (186 - 188)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 75. Let f be 0 + (-3)\/((-522)\/(-10)). Let m = -101\/261 + f. Is m smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v\/v**(-4\/3)*(v**0)**(-27))**40 assuming v is positive.\nAnswer: v**(880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v. Solve -2*f + 2 - 8 = v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3661722 and 936?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(546\/588)*6\/(-42).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.148?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.02129737 times -2\nAnswer: 0.04259474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.9. Let h = -0.14 - -1.14. Which is bigger: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u = 74*u - 8. Put u, -4, 0.9, 0 in increasing order.\nAnswer: -4, 0, 0.9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 851740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:41 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -108*x**2 - 63*x + 350. Determine j(6).\nAnswer: -3916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 31 + 63 + 5 = 0. Which is the biggest value? (a) 30 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 divided by 5?\nAnswer: 681\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2062898671 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 7 = 3*o + 5*t, -3*o = t - 1. Solve -9 = o*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2980658246 and 1.4.\nAnswer: -2980658244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 223672560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2668074677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5760700\/107 < 53837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 38) + (-14 - -2) + (-9 - -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 467135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 14) to base 3.\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -32.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 339 - 354.3. Let s = w + 18.3. Which is the smallest value? (a) s (b) 18 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, 2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.48933 * 143.4\nAnswer: -70.169922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -521 - 529 + 1050 + 756*s**2. Let t(b) = 4*b. What is q(t(w))?\nAnswer: 12096*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/110)\/(42\/105).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 17*i - 10. Let y be m(-20). Is 51 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -7\/8?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258680067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 + 3488*s**3 - 2910056*s**2 + 11566560*s + 14480100 = 0 for s.\nAnswer: -1395, -1, 5, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 5*a**2 + 8*a + 1. Let g be n(6). Suppose -4*v + k = -25, -2*v + 3*k = 2*v - 19. Suppose g = 2*q - v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 17*g**2 - 63*g + 117. List the prime factors of m(18).\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q - q - 3 + 4*q)*(2*q**2 - 2*q**2 - 7*q**2) as i*q**3 + w*q + s + l*q**2 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**26)**(-2\/99))**(-42))**(-1\/52) assuming i is positive.\nAnswer: i**(-14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 709b - 220?\nAnswer: 6d7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 5*u + 3*o - 41, u - 3*o - 1 = 0. Suppose 0 = -3*f + 5*s + 1, -f = -0*f + 5*s - u. Solve 0*q - 3 = q - f*r, -2 = 2*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3\/8))\/s)\/s**(-11\/3)*((s*s**(-29))\/s)\/((s\/(s**25*s*s*s))\/s) assuming s is positive.\nAnswer: s**(73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/5 (b) 0.17 (c) 170 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297 is divided by 373.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-3) - 7)\/((-40)\/(-15)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11\/4, -0.1, -0.2, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2564?\nAnswer: 2558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/7 (b) -0.17 (c) 19 (d) 11.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20153*0.073.\nAnswer: -1471.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 20 = 5*t + r, -4*t + 4*r = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*a + 13 - 2, 3*l = -a + 10. Is 5 a factor of (l + -8)*-1 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i**5 + 16874*i**4 - 24*i - 884 wrt i.\nAnswer: -140*i**3 + 202488*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*a - a + 288, -4*a - 166 = -3*f. Solve 56*j - f*j - 10 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2517*m**3 + 5*m**2 - 19*m. Let w(x) = 3356*x**3 + 7*x**2 - 26*x. Calculate -11*c(r) + 8*w(r).\nAnswer: -839*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41580 by -416.\nAnswer: -10395\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*x - 16 = 0, 2*s - 4*s + 2*x + 10 = 0. Suppose -5*q + 5*k + 13 = 33, 24 = -4*q - s*k. Sort 5, 7, q.\nAnswer: q, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51\/5 + -5768\/565. Which is greater: 2\/5 or h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 93?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 3. Let w be x(-3). Let a be (-15 - -14)*(w - 1). Does 2\/85 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.677 - -0.391. Let n = -0.186 - k. Let z = 5 - 6. Which is the second smallest value? (a) n (b) 0 (c) z (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - -1.16. Let g = j - -0.25. Let x = g - 3.41. What is x rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699102 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 - b**2 - 10*b + 1. Let x(q) = 13*q**3 + 9*q**2 + 2*q + 18. Let f(d) = 4*l(d) - x(d). What is f(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkghikhkkknkghyig. Give prob of sequence nnih.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 155, 235, 317?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3\/2 + 9*k**2 - 54*k + 2. What is x in n(x) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/655506 - -4720626463\/2622024. Suppose -1902 + 10926 = 5*g - 4*h, 0 = -h - 1. Let i = g - m. What is the common denominator of 37\/12 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98.5 + 101.5. Which is the third smallest value? (a) -12 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1784, 3549, 5322, 7109, 8916, 10749?\nAnswer: 12614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 80*l**2 + l + 2. Let p be k(-1). Suppose 39 = 2*x + j, 2*x - 4*j - 27 = -3. What is the greatest common divisor of p and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242694108.\nAnswer: 2, 3, 17, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 3*g - 2. Let y(h) = h**2 + 5*h - 2. Calculate the least common multiple of y(-7) and q(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/(-124)*208\/80.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 29*m**2 + m + 1. Let i(a) = -402*a**2 - 16*a - 7187. Let z(j) = i(j) + 14*r(j). What is the derivative of z(s) wrt s?\nAnswer: 8*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3665*w + 113083 = -92157 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + s**2 + 3*s**2)*(-4*s**2 - 124*s - 4*s**3 + 124*s).\nAnswer: 4*s**5 + 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = -24. Suppose -4*g = g + l. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -3 + 0*m - 3\/4*m**4 + 5\/3*m**3 + 0*m**2. What is the third derivative of h(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11912078000 to the nearest one million.\nAnswer: 11912000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x + 3*y - 20 = 0, 5*x = -3*y + 52. Let p = -6 + x. Suppose -3*z = -r - r - 423, -p*z + 4*r = -274. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2481, -9892, -22233, -39504, -61705, -88836?\n\"Answer: -2465*c**2 - 16*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18129 - -18181. Calculate the remainder when 462 is divided by f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/377664 and -97\/6744?\nAnswer: 377664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -106\/105 and -52\/165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 24. Let r = -16 + 18. Suppose 168 = 2*f + r*l, 0 = -6*f + f - 3*l + 428. Calculate the greatest common factor of f and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64208 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5800)\/(-15834) + (1 - (-57)\/(-63)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 5}. What is prob of picking 1 k and 1 q?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*1*sqrt(1377) - sqrt(1377) - (-5 + sqrt(1377)*-1)).\nAnswer: -20 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180)*2)**2 + -5 + 5 + 3*(-4 + (sqrt(10)\/sqrt(2) - sqrt(5))**2 - sqrt(5) - (2 + 1*sqrt(5))**2).\nAnswer: -15*sqrt(5) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -652*z**3 + 676*z**2 + 1280*z - 48.\nAnswer: -4*(z - 2)*(z + 1)*(163*z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-17)*q)\/q)\/(q**0*q))\/((q*q*q**12)\/q*q**(1\/18)) assuming q is positive.\nAnswer: q**(-559\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*o - 31 - 30 + 60)*(-4*o + 0 + 0).\nAnswer: 336*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833) - sqrt(17)*-4*4)**2.\nAnswer: 138*sqrt(17) + 9002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42706236.\nAnswer: 2, 3, 3558853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(45)*4)**2 - (2 + sqrt(15)\/sqrt(3)*-2).\nAnswer: 2*sqrt(5) + 2878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(117).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 402 and 8.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -262295.76 to the nearest 100.\nAnswer: -262300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 10. Suppose -10*s - 9 = -9*s. List the prime factors of t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - 3*q**3 - q**3 - 7*q**2 as f*q**3 + b*q**2 + u + k*q and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471993873 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(18\/(-9))\/((-20)\/280).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 2*v**4\/3 - v**3\/3 + 24*v - 1. Give d(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27978018, -27978019, -27978020, -27978021, -27978022?\n\"Answer: -k - 27978017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*p - 18 = -p, 5*m + 2*p - 16 = 0. Suppose m*j + 3300000 = -3*j. Round j to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -25*y**2 + y - 5. Let v(o) = -99*o + 8. Give b(v(h)).\nAnswer: -245025*h**2 + 39501*h - 1597","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356433651?\nAnswer: 3, 7, 1361, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24 and 36?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1448, -18734.\nAnswer: -18734, -5, 1448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1384950*h + 1384950*h + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4163035370 to the nearest integer?\nAnswer: 64522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9 + -4. Which is the second biggest value? (a) o (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857*y = 1069*y - 4203*y + 251283 + 317691 for y.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -96.772. Let l = f - -0.2279881. What is l rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/400 and -127\/48.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0 - (3 - 0)) + (-41 - -43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42913 is divided by 14301?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oorcocyyobccyoyr. Give prob of sequence ybcc.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o + 100*o - 784 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 5270098*z**2\/3 - 3471744251248*z\/3 - 3471738981152\/3.\nAnswer: -2*(z + 1)*(z + 1317524)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11181, 6, -2, -6.\nAnswer: -11181, -6, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 3 = y. Let z = y - 31. Solve -l = -z*s + 8, -3*s + 0*l + 3*l + 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (456\/(-3705))\/(40\/150)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**5\/7 + 50*j**4\/7 + 76*j**3\/7 + 34*j**2\/7 = 0.\nAnswer: -17\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 12, r: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**3 + 19*x**2 - 10*x + 14. Let z(q) = 4*q**3 - 9*q**2 + 5*q - 7. Let h be (-4042)\/658 + (-6)\/7. Let o(l) = h*z(l) - 3*m(l). Calculate o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - ((150 - -169) + -158).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {u: 9, v: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 18 - 1 = 0. Let u(t) = 29*t**2 + 2*t - 1. What is u(y)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + c - 231 = -5*b, -2*c + 86 = 2*b. Suppose -b - 10 = 3*q. Let w = 32 - q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2178 (base 9) to base 10\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 12*d**4 + 230*d**3 - 2352*d**2 - 15570*d - 13000 = 0?\nAnswer: -25, -4, -1, 65\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n - 39. What is x(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -4 - (-3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1)*9\/(-18). Let w(z) = 4*z - 16. Let l be w(5). Let y be -1 + 14\/l + -2. Which is the closest to q? (a) -0.4 (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 5*k - a, -4*a = -3*k - 7. Suppose 0 = -v + c - 5 + 32, k*v + 3*c = 69. Suppose 0 = -4*w - d + 17, -5*w + 2*w + 13 = d. Solve -w*t = t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -3*z + 5*r, -5*z + 5*r - 43 + 13 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/953673 and 20\/77.\nAnswer: 10490403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - 10 - -1*3. Suppose f - 151 = -3*m + 2*f, 2*m - 98 = -i*f. Let q be 236\/(-1130) - (-10)\/m. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10174 - -21397. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82315*a**5 - 39*a**2 - 13992508*a wrt a.\nAnswer: 1646300*a**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(432)*-6 + -5.\nAnswer: -72*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-21)\/6*-6. Let m = 32 - r. Suppose 2*y = -3*y + 5. Solve -2*j - m + y = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3\/11 - 8*m**2\/11 + 82*m\/11 - 72\/11 = 0.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 256\/120 - (-4)\/(-30). Suppose 2*d - 3*d - b*c = -910, 3*d - 4*c = 2730. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 6978.\nAnswer: 223296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-49)*10\/(-12) - (-88)\/308\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b278 (base 15) to base 9.\nAnswer: 144125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -3585133\/3 and -1195044 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + bd?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*f - 8 = -5*q, 2*q - 5*f = 4. Let k be (2\/3)\/(q\/(-3)). Is k at least -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h**2 + 3. Let k(o) = -o**2 + 1. Give -3*k(a) + t(a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*l - 4. Let q = -1654 + 1655. What is the remainder when l is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2061044308 and 57390?\nAnswer: 2060986918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 2, r: 1, o: 1}. Give prob of picking 2 x and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -20*x + 29*x - 6*x - 5. Let b be p(5). What is the highest common factor of 50 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 + 309954*a**3 - 16002914928*a**2 + 274789821627776*a + 24028044764924928.\nAnswer: -2*(a - 51688)**3*(a + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*q + 2 = 0, -q = 2 - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/42)\/(854\/(-43554))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1500717534?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 69*i - 6. Let b be m(-1). Let j = -63 - b. What is the highest common factor of j and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-21))**(1\/22)\/(d**(9\/8)*d**0*d) assuming d is positive.\nAnswer: d**(-271\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194 - -202.3. Let q = 29.4 + -37.4. Let h = t + q. Which is the closest to -0.3? (a) h (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 76*q**3 - 3*q + 1. Let p be w(2). Let l be ((-4154)\/(-372))\/((-18)\/(-108)). What is the highest common factor of p and l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 1029.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 11, 22, 49, 98, 175?\n\"Answer: t**3 - t**2 - 3*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -211262*t + 2957662. Calculate o(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40239 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11.08866t?\nAnswer: 11088660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0522027 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45c6d (base 16) to base 3\nAnswer: 112112001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 i when four letters picked without replacement from {e: 3, i: 3, a: 2, x: 2, n: 3}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*z = 0, u + 2*z + 8 = 3*u. Suppose -3*t = -u*t - 5*w - 25, -t + 3*w = -15. What is y in 2*y**3 + y + y**2 - 1 - 3*y**3 + t*y**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 + 5*y**3\/3 + 2*y**2 - 4*y. What is the tens digit of n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15)*-2)\/sqrt(3) - (sqrt(200)\/sqrt(5))\/sqrt(8)) + (sqrt(720) - (4 + (sqrt(720)*-3 - sqrt(720)) + sqrt(720))) + 1)**2.\nAnswer: -270*sqrt(5) + 10134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*t + 0*t + 18 = 0, -4*o - 2*t = 0. Suppose -5*y + 59 = 3*b - 0*b, 31 = o*b - 5*y. Let s = -3 + 4. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22880 is divided by 11440.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.2, -7, -9317, -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Does 6 divide (-5 - f)\/((-1)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 6*s + 3. Let d be f(-3). Let i be (-3)\/(1\/(d\/9)). Let m(b) = b - 4 + 0*b**2 + 5*b**i + 0*b**2 + b**3. Give m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 448, 671, 894, 1117, 1340?\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 563.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 + 69*y + 68 = 0. Calculate y.\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1011371805358 + 1011373367691.999914. Let m = y + -1562353. Let l = -19 - m. What is l rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/5 + 4269*u**2\/5 - 25074*u.\nAnswer: -3*u*(u - 1393)*(u - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.1. Let g = -0.532 - -5.532. Which is the nearest to 0? (a) z (b) -2\/23 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9761653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 112 = -7*j - 4*k, 190 + 202 = 4*j - 14*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -1.3. Suppose -4*z + 4 = -2*c, z + 2*c - 2 = 4. Let s = -0.28101 - 0.21899. What is the closest to g in z, 3, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154373 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - 9 - (6 + -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 898 or 15291\/17?\nAnswer: 15291\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r**2 - 23*r**3 + 22*r**2 + 17*r**2 + 21*r**2.\nAnswer: -23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1711\/1372 - 1\/343. Which is the nearest to 0.1? (a) -4 (b) l (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7758 is divided by 2450.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/213410?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -bba6?\nAnswer: -bb9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 49*w + 64 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g**(2\/7))\/(g**(-1)*g**(1\/3))*g**(-1\/3)*g\/g**1*(g\/(((g*g*g*g**(2\/3)*g)\/g)\/g))**(1\/3) assuming g is positive.\nAnswer: g**(157\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*-1*(sqrt(64)\/sqrt(8) - 1*(sqrt(2) + -1)))**2.\nAnswer: 450*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-556)\/(-6)*(84\/(-8))\/(-7). Let t = q + -79. Suppose -97 = -5*d + 2*f, 0*d - 3*d - 3*f + 75 = 0. What is the remainder when t is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 17 - 217. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62018 divided by -12?\nAnswer: -31009\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*f = -53*f + 5616 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 282*j**3 - 10*j**2 + 4*j + 3. List the prime factors of p(4).\nAnswer: 3, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112921 + -16797. Suppose -194*p = -198*p + i. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/144 and 1 + -4 - 26\/2880*-335.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(7\/5))**(-50)\/((j**2)**(-9\/5)\/(j**(-1\/5))**(1\/5)) assuming j is positive.\nAnswer: j**(1053\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4*(1\/(-12))\/((-16)\/32)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -450 - -450. What is the nearest to u in 2\/9, -0.5, 0.3, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 4, -1733, 113, 0.4, 0?\nAnswer: -1733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -15*p**4\/4 + 4*p**3 - 7. Find the third derivative of m(o) wrt o.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*t = 6*n - 17, -n - 2*t = -4. Suppose 4*k = r, 5*k = n*r - 5*r - 1. Which is the second smallest value? (a) k (b) -0.1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*b = 27, -a + 18 = -6*b + 3*b. Let o = 57 + -29. What is the smallest common multiple of a and o?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*h = 183, 5*z + 0*h - 2*h - 17 - 52 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + (-204)\/18)*-3. Solve w + 12 = 13*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 5. Determine o(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 19\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1)*(7*s + 3730*s**2 - 7*s + 1017*s**2 + 666*s**2).\nAnswer: 32478*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21008 - 53045202\/2525. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let b(u) = -9*u**2 + 54. Determine h(b(y)).\nAnswer: 162*y**4 - 1944*y**2 + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**6\/195 - 2*o**5\/13 + 11*o**4\/26 + 18*o**3\/13 + 1282*o - 1. Solve d(h) = 0.\nAnswer: -1, 0, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n. Suppose 4*g - 2*y = -y + 26, -4*g + 22 = y. Suppose n*p + g = 3*p. Solve 3 = -p*j - j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/24*363112*(-3)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/((s*s\/(s**(4\/7)\/s)*s)\/s))\/(s*s**(-1\/4)*s)**(-30) assuming s is positive.\nAnswer: s**(354\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 9. Let p = i + 14. Suppose -3*d = 2*d - 45. Solve 2*t + p*g - 22 = -0*g, -t + d = g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*m - 14 = -3*x, -3*x - m + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*b**3*z + 726*b**3 + 19*b**2*z - 2 wrt z.\nAnswer: 5*b**3 + 19*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:54 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c + 99. Let d be (2\/(-4))\/(62\/248)*(-26)\/4. Let w(q) = 4*q + 49. Calculate d*w(g) - 6*b(g).\nAnswer: -2*g + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4*y + 781*i**4 - 154*i**2*y - 10*i - 6136*y wrt i?\nAnswer: -24*i**2*y + 9372*i**2 - 308*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2659, 2657, 2655, 2653?\n\"Answer: -2*c + 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -22) + 9 + (-1 - 0) - (-535 - -492).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 3*b**2 + 4. Let o = 3 - 6. Let l be m(o). Solve 2*k - 4*i = -4, -l*i + 14 = 5*k - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 - 2*k + 4. Let i be p(3). Suppose 13*q - 6*q = -i. Let z(r) = -135*r**3 - r - 1. What is the tens digit of z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + sqrt(3) + 2 + 3 + -5)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.088191 and -60358879.\nAnswer: -60358879.088191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 101. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 less than 130.54?\nAnswer: 194.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.97 + -45.03. Let o = -6 + y. Let i = -53.4 - o. Which is the biggest value? (a) i (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1865*c + 15521 = -952*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8443ml in litres?\nAnswer: 0.0188443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1148 (base 10) to base 8\nAnswer: 2174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 8*c - 4 = -s, -5*c - 4 = 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/7 + 2598*a**2\/7 + 2599*a\/7 = 0.\nAnswer: -1, 0, 2599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-98))\/(207\/483).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from iijyjyjiyiiibjiti?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -9*m + 138075. Suppose -4*j = 2*s - 18378, -s + 6*j + m = 4*j. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-4*2 - sqrt(170))\/(sqrt(10) + (sqrt(10) - sqrt(60)\/sqrt(6))*5).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + -0.1. Let y = -1043 - -3128\/3. What is the smallest value in c, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**2 - 52*s + 56.\nAnswer: 4*(s - 2)*(3*s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a**3\/39 - 324*a**2\/13 - 52488*a\/13 + 2741. Determine h so that n(h) = 0.\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -8*u + 14. Let c be 0 + -1 + 4 - 84\/u. List the prime factors of -162*2\/c*-3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.0906926t?\nAnswer: 90692600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0730428406 to 6 dps.\nAnswer: -0.073043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21032881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) 0.1 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-1))\/((-4)\/(-2)). Suppose 3*j = -v + 13. Suppose l - 51 = -j*i, 0*i - 4*i + 121 = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.8. Let i = -0.06 + 5.06. What is the second biggest value in 3\/7, i, n, -6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3522 + 24655\/7. Let k = -1 + 1. What is the nearest to k in q, 1, -0.9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h + p = 58, h = -p + 30. Let d be (-33)\/(-21) + 12\/h. Which is the third biggest value? (a) d (b) -2 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose v = -4*o - 29 + 101. Suppose 0 = 6*t - 329 + 5. Calculate the highest common divisor of t and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/8)\/(-6))\/((-34)\/(-238))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.443 - -0.043. Let a = 13 + -15. Sort d, 1, a in descending order.\nAnswer: 1, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*i = i - 501, 2011 = -4*w - 3*i. Let a be (w*(-1)\/(-1))\/1. Let q = 825 + a. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/9 - 5\/15. Suppose 0 = 4*m + 4*x - 28, o*m - 5*x - 6 - 4 = 0. Solve 6 = -m*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b668 - -b84?\nAnswer: -a6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -415*v + 613 wrt v?\nAnswer: -415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17955\/176 + -1094\/11. Find the common denominator of f and -107\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/99 (b) -2\/17 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.148 rounded to one decimal place?\nAnswer: -177.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-100)*-5*-136)\/(26\/(-91))\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16ba - -4?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8 + (-21)\/(-6). Suppose -y + b*h + 11 = 0, 3*y - 2*y - 32 = -4*h. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3275 - 32793\/10. Find the common denominator of j and 69\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6830003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -978 and 2.05.\nAnswer: -2004.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a second in milliseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -257 - 1?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1274 + -10a28?\nAnswer: -120a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**2 - 3 + 12*o**2 + 0 - 3*o + 7*o. Is y(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3550 and 1136.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:29 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 136.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*j + 312 - 346 = 0, -23 = -4*l - j. Let m(t) = 2*t**2 - 13*t - 7. What is m(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12785 - -18254. Suppose -s - 2*o = -v, 4*s - 21881 = -0*s - 3*o. Suppose -8*y + 10121 + s = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*a)*(-a - 4*a - 37*a**3 + 36*a**3).\nAnswer: 4*a**4 + 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20062644 + -3?\nAnswer: -20062647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/4 and -7\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12626 is divided by 2931?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) 207\/143 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2580 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -346116623.9 rounded to the nearest ten thousand?\nAnswer: -346120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -177 (b) 0.17 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**11)\/v)\/((v**(4\/7)*v)\/v*v) assuming v is positive.\nAnswer: v**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 188898, 191073, 193248?\n\"Answer: 2175*b + 186723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 5*j + 2*j + (j - j + 2*j)*(-4 + 1 + 2) + 5*j - 3*j + 0*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4 + 1 - 7*c + 0*c. What is the units digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*x + 3059 + 5950 = 200*x. What is the highest common divisor of x and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -6 (c) 3\/14 (d) -2\/3 (e) -40\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2288500 to the nearest 10000.\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 15 = 7*y. Let n = 5 - y. What is the smallest common multiple of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137171 is divided by 2494.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*i - 18, 3*v = 62*i - 61*i + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20622, 41265, 61906, 82545?\nAnswer: 103182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3086 is divided by 3052?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -16, -38, -68, -106, -152?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110132120231 + -2?\nAnswer: 110132120223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 13*b - 7. Let r(j) = j - 1. Let x(u) = -g(u) + 5*r(u). Calculate x(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t. Suppose -3*c + 6*c = 0. Let n be f(c). Solve -2*r - r + 3*u - 9 = n, -5*r + u + 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260.4 - -272. Let f = v - -68.4. What is the nearest to -1 in f, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 0*d + 0*d**3 + 16 + 12\/5*d**5 - 8\/3*d**6 + d**4 + 0*d**2. Determine v so that o(v) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 31 = -7. Suppose w + 4 = -d, 0 = -5*d - i + 13. Suppose -y + n + 7 = 1, 2*y + 2*n = 8. Sort w, -5, y in descending order.\nAnswer: y, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/20 and (-487)\/360 + 60\/135?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 8 - 59*h - 2.\nAnswer: -59*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:36 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296560 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**3 + 6*z**3 - 7*z**3)*(z - 2*z + 3*z)*(0 + 1 + 1)*(-3 + 3 - 3)*(0 + 2 + 6).\nAnswer: 864*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 6*h**2 - h + 7. Let p be (12\/18)\/(1 - 8\/9). What is i(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -v - 596, -4*h - 3*v + 2391 = -7. Solve -593 = -r - h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -21. Let a = g + 3. Solve 2*l = -8, -3*o + a*l + 7 = -4*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531247 is divided by 6406.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.774 + 3.\nAnswer: -37.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 158 = 54. Suppose -5*c = 3 - t. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/13 and 85\/22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4512 - 9008 - 23*n + 4522 to s + a*n and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:52 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 3?\nAnswer: -92\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8278?\nAnswer: 2, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50855)\/135560 + 36\/96. Is 0 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7200361*w**5 - 67*w**2 + 1893*w - 20.\nAnswer: -432021660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142179?\nAnswer: 3, 83, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - 1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -5*z + 17*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54400, -54425, -54448, -54469?\n\"Answer: u**2 - 28*u - 54373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 - m**3\/3 + 19*m**2\/2 + 8*m. Suppose 20 = x - 4*f, 2*f - f = -5. What are the prime factors of s(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -3*m - 8, 2*h - 2*m - 6 = 0. What is the derivative of f + 0*f + h - 2*f + 2 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1468 + 498 + 529 + 441 + 27*g.\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90800588 is divided by 849?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwub when four letters picked without replacement from {w: 1, b: 1, u: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 294\/77 - (-2)\/11 - -195 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20785962 + 20785978.9999999. Let s = u - 17. What is s rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32112?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + v + 318 = 5*v, -a - 106 = -4*v. Let j = a - -102. Suppose -5*b = 2*r - 25, r + 4*r = -25. What is the smallest value in b, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 45.000112. What is f rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 4*s - 17. Let r be a(-7). Suppose 0 = 5*w + 3*w - 64. Calculate the highest common factor of w and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14b (base 14) to base 15\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -4\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/12 and -71\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*r**2 - 172*r**2 + 338*r**2 - 83*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1245736320 to the nearest 1000000.\nAnswer: 1246000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - 4\/16. Suppose 2*u + 5 - 1 = p. Let f(h) be the second derivative of -h**5\/10 + 3*h**3\/2 + 2*h. Let b(q) = -q**3 + 4*q. Calculate u*f(v) + 5*b(v).\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*b + 226, 0*b - 4*b + 179 = -5*y. Suppose -9 = -5*k + b. Calculate the remainder when 31 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c = -2*l - 32*c + 20, 5*l - 50 = 2*c for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2784*j + 2753*j. Let w be (-16)\/18*1\/2. Is w smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -2, 646, 1.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(10*i**4 - 9*i**4 - 60*i + 64*i + 17*i**3).\nAnswer: -2*i**4 - 34*i**3 - 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2021.\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*w - 162331, 2*w - 9754 - 87645 = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 50)*(-152)\/228. Solve -v*f + 13 = -19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/11, 9\/338, 0.4, -3, -0.006 in descending order.\nAnswer: 14\/11, 0.4, 9\/338, -0.006, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*w**2 + 14 - 14)*((5*w - 2*w - w)*(-2*w + 0 + 0) + (-w**2 + 1 - 1)*(3 - 1 - 3)) to z*w**3 + y*w**2 + u*w + j + i*w**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = -1. Suppose -4*o - 23 = z. Let a = o + 12. Put -3, 3, a in ascending order.\nAnswer: -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (0 - (0 + -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*c + 8 = 0, 7*p + 10 = 2*p + 5*c. Let o be (-3)\/p - (-7)\/2. Differentiate -d**4 - o + 5 + 1 + 2*d**4 with respect to d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txnxxxtxxxn. What is prob of picking 1 n and 2 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 12. Suppose 4*w + 1 + 4*w**3 + 7*w**2 + 4*w**4 - w**2 - 3*w**m = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 24 = -2*f, -2 = -f - 5*i - 8. Calculate the lowest common multiple of f and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 0*g + 0*g + 7*g - 7*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182280302 to the nearest integer?\nAnswer: 13501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -44, -3 in descending order.\nAnswer: 1, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 66*u**2 - 657*u - 38. What is q(-41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -69, 0, -5, -30 in ascending order.\nAnswer: -69, -30, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r*r)**1\/(r*r\/(r**(-1\/4)*r)*r*r*r*r**(3\/5)) assuming r is positive.\nAnswer: r**(-177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 38*k = 8*b - 56, -3*k - b + 7 = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**3*z + 89950087*p**3 + 25*p**2*z + 2*p**2 - 2470*p - z + 299 wrt p.\nAnswer: -12*z + 539700522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-4)\/(-7))\/((-885)\/1652).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 5, -225, 1, 2 in ascending order.\nAnswer: -225, -12, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-6) - 5\/2. Let v(q) = -13*q + 7. Let m = -96 + 95. Let l(b) = -2*b + 1. Let k(p) = m*v(p) + 6*l(p). Let s(f) = -2*f + 2. Give g*s(h) - 7*k(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.79. Let q = 0.29 + l. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 18. What is the smallest value in 0, -2\/9, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jtjgjjnsgtjj.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (5 + (9 - (19 - (3 + 2) - -2)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 2*x**2 + 5*x + 2. Let o(d) = d**2 + 3*d. Let q be o(0). Suppose -3*n = -q*n - 15. List the prime factors of p(n).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2126699*l**2 - 11*l + 168710345 wrt l.\nAnswer: -4253398*l - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - 3*c**5 + 2*c**3 + ((c - 1 + 1)*(-5 + 5 - 5*c**2) + (-3 + 3 + 1)*(102*c**3 - 39*c**3 - 12*c**3))*(3*c + 3 - 3 - c**2 - 2).\nAnswer: -49*c**5 + 138*c**4 - 92*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 6*s**2 + 6*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uujj when four letters picked without replacement from {u: 7, j: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1277, 1\/7, 12, 0, 5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101201 (base 3) to base 6.\nAnswer: 55031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*d + 12 = 0, 5*k - 2*d - 3*d - 30 = 0. Find the third derivative of -41*b**6 - 2323*b**5 + b**2 + 2323*b**5 - k*b**2 wrt b.\nAnswer: -4920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.8 + 514.8. Let w = -458.000745 + s. Round w to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 31*s + 5 - 59*s - 11*s + 7*s)*(17146 - 17146 + 267*s) as c + h*s + n*s**2 and give n.\nAnswer: -25098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qllqqqlqqqqllqllll. What is prob of picking 3 l?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 788*a**3 - 74053*a + 37014*a + 100 - 204 + 37039*a + 791*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/473 - -7\/43. What is the biggest value in j, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 1, w: 2, u: 1}. Give prob of picking 1 d, 1 u, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84706715647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 378*d**3 - 1199*d**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.1, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011130 (base 5) in base 16?\nAnswer: -13443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 + -0.14. What is the closest to r in 2, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4913\/9822 + -1\/4911. Let g(x) be the second derivative of -3\/20*x**5 + 0*x**4 + k*x**3 + 0 + 0*x**2 - 15*x. Factor g(f).\nAnswer: -3*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 87 = -4*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -0 + 12. Determine a so that -3*a - 7*a**x + 0 + 2 + 2*a**2 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-936)\/624)\/(11\/(-110)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*2*sqrt(500) - (sqrt(500) + 0)*4)*-3 - 4*(sqrt(500)*1 + -4 + sqrt(500) - (-1*(sqrt(500) + -1 - sqrt(500)) + sqrt(500))))*3)**2.\nAnswer: -36000*sqrt(5) + 453600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4\/4 + l**2 - l - 31. Give o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60408 + -244095\/4. Let h = o + 616. Is 176 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 7*i + 1. Let z(p) = 2628*p**2 + 378*p - 54. Calculate -54*x(b) - z(b).\nAnswer: -2682*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*j + 368 - 376 - 118*j.\nAnswer: 4*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13631969*w + 5776737 wrt w?\nAnswer: 13631969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.05 - 20.25. Let a = 4.8 - h. Let l = -22.999946 + a. Round l to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -2.6. Let n = -40.558 + 40.468. Which is the nearest to 2? (a) n (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 45. Suppose q*v = 42*v + 166. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19060\/7 + -2728. Let c = 5881 - 64644\/11. Calculate the common denominator of c and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12 + 2*b**3 - 43 - 3*b**2 + 17 + 13 - 5*b. Let h(a) = -a**3 - a**2 - a - 1. Give -3*h(g) + u(g).\nAnswer: 5*g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3471 - -1618.6529. Let l = p - 1618.99999277. What is l rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -253\/5 or -51?\nAnswer: -253\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 2*d)*(-1620*d**3 + 3281*d + 471*d**4 - 457*d**4 - 3283*d).\nAnswer: 28*d**5 - 3240*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/(5\/(-75)*(-486)\/(-27)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 6. Give s(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/2, 19, -17\/968, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7216 + 7324. Calculate the least common multiple of z and 4212.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 51. Suppose 16 = -2*t - 2*y, -3*t - 3*y - 24 = 2*y. Let w = 0 - t. Calculate the least common multiple of j and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Let w be 24\/(-16)*(4 - (1 + 15\/3)). Solve -5*h = 4*b - 19 + 6, 0 = -z*b - w*h + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -14, -2, -785, 4.\nAnswer: -785, -14, -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137.37 - -74.63. What is u rounded to 0 decimal places?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*5*(-18)\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66071007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -372 by -372.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4760 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -589\nAnswer: 10\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 1. Let r = 9 - 6. Let g be b(r). Is g at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 306 and 309 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q**2 - 90*q + 5. Let k(b) = 31*b**2 - 135*b + 8. Let i(y) = -5*k(y) + 8*z(y). Factor i(p).\nAnswer: 5*p*(p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/3 + 140*c**3\/3 + 768*c**2 - 1728*c.\nAnswer: 2*c*(c - 2)*(c + 36)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/5, -4.4, 0, 1\/84 in descending order.\nAnswer: 2, 1\/84, 0, -3\/5, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1 - c**2 - 9*c + 2 + 20. What are the prime factors of r(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 150 = 3*h, -4*l - 5*h = -7*h + 236. Suppose k = 5*k - 552. Let b = k + l. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 12. Let c(s) = -2*s**2. What is f(c(q))?\nAnswer: -8*q**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 4*x + 21. Suppose 0 = 5*u + q + 27, -6*u + 4*u + 4*q = 2. What is the remainder when g(u) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + h**2 - h + 2. Let y be (2 + 36\/(-15))\/(5\/25). What is r(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f - 7. Let h(w) = 6*w + 3. Let r = 0 + 4. Let v be (-68)\/16 - (-1)\/r. Determine v*j(l) - 9*h(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1447200 and 1343520?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1130052 divided by -462.\nAnswer: -2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -21523, 0, -3, -1 in descending order.\nAnswer: 0, -1, -3, -21523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1031 + -1?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 2*q - q + (0 - 16 - 13)*(5*q - 2*q - q))*(-3*q**3 - q**3 + 2*q**3) as o + w*q**3 + y*q**4 + k*q + h*q**2 and give y.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, 2\/13, -1, 2\/5, 7552, 1?\nAnswer: 7552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257839927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-88)\/(-16))*-26. Let d = 766 - c. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003135 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 129128, 129129, 129130, 129131, 129132?\n\"Answer: x + 129127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.2. Sort 0, 2\/3, g, 1 in ascending order.\nAnswer: g, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011011110000 (base 2) to base 14.\nAnswer: 51a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61044992.\nAnswer: 2, 389, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1536 = -3*a, 0*t = -a - 4*t + 498. Let y = a - 1266. Let m = y + 1805. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 - 3 + 5*t + 1 + 9*t**2. Let r be m(4). Let p = -34 + 46. What is the greatest common divisor of r and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 14*r + 5 = 0. Do 19 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 2. Let z(c) = 6*c + 5. Determine 7*f(o) + 3*z(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17 and 101\/2210.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 255*s + 129*s + 11136 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 32 = 5*n, 4*n - 27 = 5*r + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 33065.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 10:18 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.374 - 0.174. What is the closest to 1 in v, 2\/15, -3, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*z**3 + 17*z - 627.\nAnswer: -78*z**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - -1)\/(-20 - -21) + 125 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 52, -5 in decreasing order.\nAnswer: 52, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12)*3*16\/(-42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 3, f: 7}. Give prob of sequence hhuf.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-7)\/42). Suppose 5*u = g*z - 542, -2*u = u + 6. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -13 + -3 - (4 + -1 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34636*p + 61 = -5*q - 34640*p, 0*p + 65 = -5*q - 5*p for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -bf2 (base 16) to base 3\nAnswer: -11012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1539 - 1543. Sort -1.32, -0.3, 3, r in decreasing order.\nAnswer: 3, -0.3, -1.32, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136439.2 rounded to the nearest one thousand?\nAnswer: -136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10117*a**3 + 10117*a**3 - 2*a**4 - 1 - 27*a**2 + 0*a**4 to r*a + t*a**3 + v + z*a**2 + s*a**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 4*u**2 - 88*u + 77. Is a(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.65366 - -0.15366. Which is the nearest to 0.01? (a) 3 (b) y (c) -2\/5 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/65 (b) -2311\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzxmmxllziiizzil. What is prob of sequence ix?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(833) - (sqrt(833) + 2*sqrt(833)))**2)*4 - (4 + -4*(5 + sqrt(17) + sqrt(17)*1 + sqrt(17))**2).\nAnswer: 120*sqrt(17) + 14016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -189, -0.28, -2\/9, -0.099?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -19\/320 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 15340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794 divided by -7316?\nAnswer: 897\/3658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -560 + 780. Calculate the remainder when j is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 97*v - 117. Let f(h) = 49*h - 58. What is -3*b(g) + 7*f(g)?\nAnswer: 52*g - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -807 (base 15) in base 7?\nAnswer: -5161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 558, 2199, 4928, 8739, 13626, 19583, 26604, 34683?\n\"Answer: -h**3 + 550*h**2 - 2*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -284, -293, -312, -347, -404?\n\"Answer: -q**3 + q**2 - 5*q - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1321592, 2643196, 3964804, 5286416, 6608032?\nAnswer: 7929652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31139, -72643, -114149, -155657?\nAnswer: -197167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*r + 12 = -151*r. Let b(s) = -s**3 - 2*s + 1. Let i(a) = 50*a**3 + 4*a + 39. Let o(c) = r*b(c) + i(c). Differentiate o(j) wrt j.\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816 (base 15) to base 5.\nAnswer: 24241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwy when three letters picked without replacement from wwywwywywwyywwww?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 26*i + 6. Let s be m(-5). Let f(l) = 4*l**2 - 2*l + 1. What is f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 20*s**2 - 3\/64*s**4 - 1\/160*s**5 + 1\/4*s**3 + s + 0. What is x in c(x) = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t - 0*t, -3*f - 2*t + 700 = 0. Round f to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/9 (b) -1677 (c) 0.2 (d) -2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 1\/7*m**3 + 0*m - 1\/7*m**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4 + 15*p**3 + 8283*p**2 + 16401*p - 24696 = 0.\nAnswer: -49, -3, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 16*k - 106. Let y be j(7). Calculate the greatest common factor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/17 + 52*g\/17 + 50\/17 = 0. What is g?\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 857, 1923, 3415?\nAnswer: 5333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 347 + -3?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 - 286 = 75*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 78. Let h = 550 + -538. Let q be y(h). What is the highest common factor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -18163.3, 0.05, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.1, 0.05, -5, -18163.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*n - 5. Suppose -53 = n*r + 25. Let q be (-2)\/8 - r\/8. Solve -4*a + 2*s + 22 = 0, 7*a + 4*s = q*a - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 2*y + 1 + y. Let q be x(2). Suppose -5*z - r + 40 = 0, q*z - 31 = -6*r + 4*r. Solve -3*v - z - 8 = 3*p, 2*p - 18 = 5*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 39*o**2 + 4*o - 8. Let q be b(-2). Calculate the greatest common factor of q and 300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*i + 3*d, d = -3*i + 2*d - 2. Let b(v) = -v**3 + 2. Let w(c) = -c**2. Let r(s) = -s**2. Let k(h) = 4*r(h) - 3*w(h). Determine i*b(l) + 2*k(l).\nAnswer: -l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n + 4. Let v(w) = -5*w + 4. Let c = 61 - 54. Give c*v(b) - 6*t(b).\nAnswer: b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2471.\nAnswer: 2\/2471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r = -54. Suppose 2*g + g = r. Suppose 0 = 2*s - 3 + 5, t - 5*s - g = 0. Let a(u) = u**3 - 5*u**2 + 3*u + 3. Give a(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.125 in -0.3, -4, 2, 88?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.00194? (a) -2\/3 (b) 3 (c) -2\/13 (d) -0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(32)*-3.\nAnswer: -12*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*g + 6830, -2*g - 752 = x - 2118. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/6 - 106*x**3\/9 - 109*x**2\/3 - 110*x\/3 + 236. Determine v so that b(v) = 0.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307217162?\nAnswer: 2, 7, 1423, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*t**2 - 35*t**2 - 43*t**2 - 34*t**2 - 997*t + 148*t**2 to a*t + l*t**2 + r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12590 - 812. What are the prime factors of l?\nAnswer: 2, 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 9. Let q be p(-9). Let u(i) = -i**2 - 15*i - 13. Let x be u(-6). Let g = x - 35. Solve q = b + b + g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 9*v - 5. Let c(g) = 3 - 1 - 6*g + g**2 + 0*g**2 + 2*g. Let f(l) = -5*c(l) - 2*j(l). Factor f(p).\nAnswer: p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.017 - 0.149. Let y = w + 0.165873. Round y to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79974.\nAnswer: 2, 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.142 and 0.28.\nAnswer: 0.59976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - -6*sqrt(50)\/sqrt(2)) + sqrt(25))\/(sqrt(5) - (-1*sqrt(180) + sqrt(180))).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 65, 93, 119?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4916147 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = -14*y - 8. Suppose -y*w = -5*w + 636. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -l - 168*o + 163*o, 6*l + 5*o = 39 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1453*i**3 + i**2 - 4525*i**3 - i**2 + 1591*i**3 + 1578*i**3.\nAnswer: 97*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 13. Suppose -j + o = -2. Solve -8 + 2 = -j*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 310 - -0.072.\nAnswer: 310.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n + 20 + 14 + 3*n - 35. Let d(j) = 2*j**2. What is w(d(k))?\nAnswer: 16*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*i - 84 = 790*i + 89 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184097.\nAnswer: 227, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94778735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/3 + 3*p**2\/2 + 11*p - 7. What is the smallest common multiple of 1 and m(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 131*t**2 - 4*t - 110. Does 42 divide j(-132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - i = 3*i + 15, -9 = -5*c - 2*i. Determine q so that -q**2 + 4*q**c - 6*q**3 + 2*q + 2 - q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) + (sqrt(10) - (sqrt(30)\/sqrt(3) - sqrt(10)))) + -1.\nAnswer: -1 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 15. Let g be x(-13). Is (-3 + 1 + 1)*g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -747918?\nAnswer: -373959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.35 + -0.05. Let w = 13 + -10.4. Let t = w - j. What is the third biggest value in -4, -0.4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (1 - 6)) + 2. Suppose 2*z = -h*a + 20, 0 + 10 = -2*z. Let n = 2 + a. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -240*x + 270*x. Sort x, -4, -2 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17470338629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.06 - -11. Let a = 19\/44 + -2\/11. What is the third biggest value in h, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 1279942 = -1540058. What is w rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 38*p**2 + 6*p - 196. Determine q(38).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 471 (base 8) to base 15\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 42220*i**2 + 96313600*i + 29705312000 = 0. Calculate i.\nAnswer: -4040, -364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -108. Suppose 30 = -4*z - z. Let v = -2 - z. Solve v*a - 5*o = y + 5, 3*o + 4 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034027.6884 rounded to the nearest 10?\nAnswer: 1034030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -430, -3?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185439918.\nAnswer: 2, 3, 30906653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57, 718, 1981, 3846?\n\"Answer: 301*r**2 - 242*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13958160 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 + 21*u - 33. Let b(t) = 8*t**2 - 20*t + 32. Let n(p) = -3*b(p) - 4*l(p). Solve n(h) = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165893\/5 or 33180?\nAnswer: 33180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**33\/(o**(24\/11)\/o) assuming o is positive.\nAnswer: o**(350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.149 and 0.4.\nAnswer: 0.0596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*n - 96 + 8, 0 = t + 3*n - 14. Let d be 5 + ((-2)\/10)\/(t\/(-200)). Solve -v + 4*j = v + 10, 3*v + 5*j - d = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (1 + -4 + -1)) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1, -2 in descending order.\nAnswer: 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 3*f - 2. Let p(u) = -u - 1. Let i = -425 + 480. Let t be 2\/(-4 + i\/15). What is t*p(o) + 2*r(o)?\nAnswer: 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Suppose 6*z - 29*z + 12*z = 0. Let g(m) be the first derivative of 19\/3*m**3 + 14 + z*m + 0*m**2. Calculate v(g(i)).\nAnswer: 722*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**14*((o*(((o*o**1*o*o*o)\/o)\/o)\/o)\/o)**40 assuming o is positive.\nAnswer: o**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 0. Round d to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17527)\/2062 - (-654)\/76\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j, 2*q + 0 = 4*j - 2. Suppose -5*g - 3*x + 82 = 0, -q*g = g + 3*x - 68. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/5 + 26*w\/5 + 24\/5 = 0 for w.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 9*z**4 - 581*z**3 + 0*z**4 + 609*z**3 - 1 + 4*z as m*z**3 + r*z**2 + x + n*z + y*z**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 45 = -5*w - 3*d, w + 2*d + 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 9, 31, 79, 165, 301?\n\"Answer: 2*x**3 - 5*x**2 + 9*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -6*h**2 + 0*h**3 + 7 + 1\/120*h**6 + 4\/105*h**7 + 0*h + 0*h**5 + 23\/4*h**4. Find the second derivative of q(n) wrt n.\nAnswer: 96*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17157 or 34313\/2?\nAnswer: 34313\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24612887?\nAnswer: 13, 1893299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16))\/(((-2)\/3)\/(7920\/(-4455)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*0.024.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -2 (c) 5 (d) 6\/395\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. What is the smallest common multiple of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 0. Let z = -2 - q. Suppose z*i = i. Solve 4*l = -s + 9 + 10, 5*s - 3*l + 20 = i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 898*m - 903*m + 60 = 0. Suppose -2*k + 148 = -c + 6*c, -3*c = 4*k - 282. Calculate the remainder when k is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21 - 6\/1 - (-931)\/(-63). Let 4\/3*k + 16\/9*k**2 - 4\/3*k**3 - 2 + p*k**4 = 0. What is k?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = -29. Suppose 5*y + 2 = 47. Let m = y + l. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-608)\/44) + 6\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13 - 26*o + 12*o + 21*o + o**2 + 0. Determine z(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14005 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/56*(5 - 1). Let a = 3.27 - 0.27. Let t = -2 - 3. Put a, v, t in increasing order.\nAnswer: t, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/(-252) + (-4)\/14 - -3. Let z = 3.9 - 4. What is the second biggest value in z, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + 35\/15. Factor 2*m**2 - 2*m**3 + 2*m**2 - v*m**2.\nAnswer: -2*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 139, 193, 229, 241, 223?\n\"Answer: -r**3 + 73*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 827 divide 756324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19780267 and 845?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*q - 17 = 4*t, -3 = 2*t + 5*q. Let l(y) = 2*y - 2. Let j be l(-3). Let c be 16\/(-66)*6\/j. What is the third biggest value in t, 0.4, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*i + 23, -5*o - 5*i + 23 = -2*i. Suppose 0 = 4*f - 5 - o. Let v be 3\/(((-45)\/12)\/(-5)). Solve j - v = -2*z, -j + 3*z = -f*j + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 - -239. What is the least common multiple of 5 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by 781.\nAnswer: 58\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 10*j - 11. Let t be k(-11). Suppose -4*v = -12, t = -0*u + 3*u - 4*v - 9. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14598 = -2*h - 3*y + 46901, -4*h = 3*y - 123013. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/15)\/((-1)\/(-445)). Suppose w*z - 460 = 262*z. What is the remainder when z is divided by 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439b (base 15) in base 4?\nAnswer: 3133301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 22, 56, 104, 166, 242?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 3747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 167*a**3 + 3*a**2 - 5*a - 1. Let z(d) = 83*d**3 + d**2 - 2*d. Let x(u) = -2*p(u) + 5*z(u). What is the third derivative of x(y) wrt y?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + 1 + sqrt(475) - (4 + (sqrt(76)*-1 - sqrt(76))\/sqrt(4))).\nAnswer: -5 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 3 - -5*(0 + sqrt(2)).\nAnswer: 3 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 211*k**2 + 5.\nAnswer: 211*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -1\/4, 2 in descending order.\nAnswer: 2, 0.04, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 5*o = 285. Let j = 238 + o. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(14)\/sqrt(2)*3*6.\nAnswer: 1 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 32 + 8 = 0. Let c = 45 - g. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**3\/3 - 2. Let f(r) be the third derivative of -r**5\/12 - 21*r**2 + 6*r. Determine p(f(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56871 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 0*w**3 + 0*w**3)*(-3 + 2 + 5 + (0 + 2 + 0)*(-3 - 1 + 5)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860991898?\nAnswer: 2, 13, 277, 119549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*((s**13\/s)\/s)\/s*s*s)*s**(-3\/11) assuming s is positive.\nAnswer: s**(-135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 5*u**2 - 6*u - 6. Let m(y) = -4023*y**2 + 4*y**3 + 5 - 6*y**3 + 4027*y**2 + 5*y + 3*y**3. Let o = -22 - -16. Calculate o*m(g) - 5*j(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, 5.79, -0.181?\nAnswer: 5.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 2, v: 1, u: 1, f: 2, w: 4}. Give prob of picking 1 v and 1 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 31*b**2 + 112*b + 168. What is the remainder when d(27) is divided by 257?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/23)*x)*x*x**(-3)*x*(x**(-1))**(-37\/2))\/((x**(2\/7)*x**(-3\/4))\/(x**(-3)*x\/x**7)) assuming x is positive.\nAnswer: x**(5717\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r. Let i(g) = 23*g**2. Calculate i(b(o)).\nAnswer: 1863*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4584734 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r. Let k be l(3). Suppose -2 = k*m + 4. Let n = 20 - m. Calculate the lowest common multiple of 12 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -35.4. Let i = -38 + 43. What is the third biggest value in x, i, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 22. Let y(u) = 2*u + 15. Let b(n) = 5*d(n) - 7*y(n). Calculate b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*j - 44 - 0, -3*h + 3*j + 162 = 0. Suppose -h = -4*i - 23. Calculate the remainder when 1 - 2 - -17*1 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**3 + o**3 + 3*o**3)*(-285*o + 285*o + 7*o**2).\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399284903 plus -0.0982?\nAnswer: 399284902.9018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-11)\/22 - 7\/(-2)) + 0. Solve 5*x = -3*h - 4, h = c*x - 6*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**3 - 5*z**2 + 10*z - 11. Let t(s) = -2*s**3 - s**2 + 2*s - 14. Calculate -m(f) + 5*t(f).\nAnswer: -18*f**3 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90173, -362158, -815953, -1451558?\n\"Answer: -90905*q**2 + 730*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Suppose -10 = -2*s - 0. Calculate the greatest common factor of v and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26b (base 13) to base 2\nAnswer: 110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -153, -323, -535, -783, -1061, -1363?\n\"Answer: q**3 - 30*q**2 - 39*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:52 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -230 (c) -0.08 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -4*z**6\/15 - 7*z**4\/8 + 5*z**2 + 11*z. Let w(m) be the first derivative of i(m). Find the second derivative of w(l) wrt l.\nAnswer: -192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -29, -37, -49, -65, -85, -109?\n\"Answer: -2*s**2 + 2*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1.2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/55 and -57\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**2 + 3*y + 3. Let n(b) = -3*b**2 + b + 2. Suppose 13*j - 7*j + 30 = 0. Determine j*n(i) + 2*f(i).\nAnswer: i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 257, -0.1, -7\/6, 0.6, 10?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 2*p**2 - 6*p + 3. List the prime factors of g(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)\/l**(-5))**2 assuming l is positive.\nAnswer: l**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/4*(9 - 5). Suppose -a*m + m = -388. Suppose 3*k = m + 23. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -38406*(-6)\/18 - -5.\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.992 + 0.008. Let t = -1.6 + 2. Let o = -0.7 + t. Which is the nearest to 2? (a) o (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 5*k**2 - 4*k**2)*(-2*k**3 - 75318*k + 75318*k - 34).\nAnswer: -6*k**5 - 102*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-2 + -8) - (-9 - (-12 + 3) - -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*u = -7*u - 292, 0 = 3*f - 5*u - 439. Suppose -2*g + g = 2, -4*c + 2*g = -f. Suppose y - c = -4*s - 3, y = 1. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 - (9 + (0 - 6)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 3*c + 11. Let q(o) = 6*o**3 - 8*o + 32. Calculate -6*q(m) + 17*s(m).\nAnswer: -2*m**3 - 3*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -929*g - 4648. What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8942349 millilitres?\nAnswer: 0.0008942349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*d = -111*d - 16*d - 6650 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128.4522 - -77.721. Let o = -33.734 - b. Let s = o + -17. Round s to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378371952749 + -0.5.\nAnswer: 378371952748.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 914 = 1944. Let j = k - -45641\/16. What is the common denominator of 45\/4 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52698*a**2 + a - 24338 wrt a.\nAnswer: -105396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 17*q - 43. What is the least common multiple of 5 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 3*d - 3*d)*(1 + 6 - 2 + d).\nAnswer: 2*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - -3*sqrt(187))*-6 - ((sqrt(187) + -1*sqrt(187)*-4 - sqrt(187)) + sqrt(187)))\/((sqrt(176) + 1*sqrt(176))\/(sqrt(4) - sqrt(64)*4)).\nAnswer: 435*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.325? (a) -4 (b) 1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 3*p**5\/20 - 5*p**4\/12 - 3*p**2\/2 - 10*p. Is w(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 4*x**3 - 2*x**3)*(-4*x + 0*x + 2*x) + (-x**4 - 2*x**4 + 0*x**4)*(-12 + 7 + 0) + (2*x + 2*x - 5*x)*(3*x**3 - 5*x**3 + 0*x**3).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46\/(-14) + (-10)\/(-35). Let t = 594 - 593. Put 5, t, f in increasing order.\nAnswer: f, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -132 + 2?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**1\/x)\/x)\/x)\/x)**43\/(x*x**3)**(-35))**33 assuming x is positive.\nAnswer: x**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - 2*h)*(-2*h - h + 4*h)*(3 - 4 - 2).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**2 + 0*g + g - g.\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*x + 25\/8*x**3 + 0 - 5\/4*x**2.\nAnswer: x*(5*x - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6169007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2001*t**2 - 808*t + 8675*t**2 + 808*t to the form d*t**2 + s + f*t and give d.\nAnswer: 6674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**4 - 3*d**4 + 2*d**4 + (8 + 6 - 6)*(3*d**3 - 3*d**3 - 3*d**4) + 2*d**4 - d**4 - 6*d**4 in the form a*d + x*d**3 + b*d**4 + z*d**2 + f and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -13. Suppose 3*r - 4*d = 22, -9 = k*r + 4*d - 1. Factor 0*s**2 + 17*s - 6 - 3*s**r - 8*s.\nAnswer: -3*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 + -0.07. Let m = r + 0.33. Let j = 17 + -17.2. What is the biggest value in m, j, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bxffblpyypypb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-10)*(-12635)\/45486.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*d + 52, 0 = -7*f + 2*f - 10. Calculate the smallest common multiple of 55 and 9\/d + -2 + (-36)\/(-16).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 10:51 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**3*s**2 + 16*r**3*s + 32*r**2 + 1525*r*s - 2*r - 12141263*s**4 - 2*s wrt s.\nAnswer: 4*r**3 - 145695156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 58*m**2 - 37*m + 2155. Calculate a(58).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1860 and 92256.\nAnswer: 461280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h + 16 = d, 0 = -2*d + 5*h - 23. Suppose 0 = -12*s + 11*s + 1. Calculate the smallest common multiple of s and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 155*x + 1362. Let v be h(-9). Solve 18*t + 6 = -v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from rrrrprrprp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 divided by 185.\nAnswer: 129\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 + 420*p + 1650. Calculate i(-4).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6. Let b(u) = -5*u - 18. Let w be b(9). List the prime factors of 2\/(l - 132\/w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 526 + -13.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 18*s = -3960. Does 33 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1 - 2 - 5 - 3*d. Let x be p(-5). Suppose -x = -v + 3. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/5 + 114*t**3\/5 + 643*t**2 + 3102*t\/5.\nAnswer: t*(t + 1)*(t + 47)*(t + 66)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 9*k - 217. Let r be g(20). Solve 4*x + r - 19 = o, -8 = -2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8308945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 2. Let k(t) = 8*t - 6. Let j(d) = -2*k(d) - 6*n(d). Let x(i) = i. Determine x(j(s)).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s - 574. Let o be k(-57). Let z(j) = 3 - 3 + 2*j - 3*j**2. Let i(b) = 4*b**2 - 3*b. Calculate o*i(w) - 5*z(w).\nAnswer: -w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 400 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 137*d + 4514. Give b(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 5*k**2 - 6*k - 6. Let t be g(6). Let p = 14 + t. Calculate the remainder when 14 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.85 + -79. Let v = x - 0.05. What is the biggest value in 0.4, v, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3 + 7490*y**2 - 14965*y + 7480 = 0. What is y?\nAnswer: 1, 1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from depjjdejdpddj?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*4*sqrt(605).\nAnswer: 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -15. Let s be (1 + 0)*((-15)\/d - 11). Sort s, -2, -4.\nAnswer: s, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18640540 < -18640540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 248 + 516 - 268 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x + 1. Let g(r) = -2*r**2 + 30 + 1 - 31. Calculate g(a(m)).\nAnswer: -450*m**2 + 60*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10216, -10216, -10218, -10222, -10228, -10236?\n\"Answer: -z**2 + 3*z - 10218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -643283*r**3*t**3 - 4*r**2*t**3 - 21*r*t**3 + 3*r*t + 5*r - 3147*t**2 + 2 wrt r?\nAnswer: -3859698*r*t**3 - 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92757 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**2 + 2*o - 1. Let z be k(-1). Suppose 4*r + z = 3*t - 7, t - 16 = 5*r. Solve 4*j + 2*s = 6, 0 = 2*j - 4*s + s + t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476154360 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203*z**4 + 378*z**3 + 203035*z**2?\nAnswer: 4872*z + 2268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgk when three letters picked without replacement from {l: 1, y: 1, a: 1, o: 1, g: 2, k: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 2*c + 7. Let y = 1025 - 1030. Sort -4, -9, c, y in decreasing order.\nAnswer: c, -4, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/12 and 11\/158.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.351777, -0.2, 19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 41 = -5*o. Let z(y) = y**3 + 6*y**2 + 2. Let v be z(-6). Let m = v + 12. What is the remainder when o is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -4 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbkkkkkkbkkbkkkbbkb. What is prob of picking 1 k and 3 b?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1613 + -1547. Let a(c) = 3*c + 3. Calculate the remainder when s is divided by a(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*a + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k + 1651 = -183*k - 169 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - ((-10 - (-6 - 32)) + -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - 46. Let r = -209 - x. What is the remainder when 422 is divided by r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (((sqrt(1008) - (3 + sqrt(1008))) + sqrt(1008) - sqrt(1008) - sqrt(1008) - sqrt(1008)) + 3 - sqrt(1008))**2)*-1.\nAnswer: -12*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 129, 369, 841, 1623, 2793, 4429, 6609?\n\"Answer: 13*j**3 - j**2 - 2*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203504124 divided by -300876031?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + y**2 + 2*y + 21. Suppose 0*a - 4*a = 0. Is g(a) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(0 - 3)*((-7)\/14 - -2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlqlrnqnqqlcllncrmn. Give prob of sequence nqq.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 17*v**2 - 17*v + 14. Let f be p(-18). Let a(q) = -80*q + 17. Is a(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by 69322.\nAnswer: 52\/34661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2\/p)\/p)\/p**3)\/(p**(1\/5)\/p*p\/p**(-6\/7))*((p\/(p**(-8)*p))\/p**(7\/4))**(-1\/69) assuming p is positive.\nAnswer: p**(-40067\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38204 + 38188. What is the second biggest value in k, -180, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/162 and 113\/30.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*f + 1 + (8 + 10 + 6)*(3*f + 0 + 0 - 4*f + 4*f + 2*f + (1 + 0 + 0)*(-3*f + 0*f + 4*f)).\nAnswer: 141*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = q - 14, 3*q - j + 1 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + k)*(-14 - 6 + 6).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 42. Let o be (15\/25)\/(4\/h). Which is the closest to -3? (a) 2\/3 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*d**2 - 5 + 82*d**2 - 41*d**2 to k*d**2 + o*d + z and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -377772, -377602, -377432, -377262, -377092, -376922?\n\"Answer: 170*m - 377942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 893714 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, 0.4, 10, -724, -1, 2, -33?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4680 + 4722. What is the greatest common factor of z and 3794?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -1, -20, -2\/5 in descending order.\nAnswer: -2\/5, -1, -20, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/7 - 51*c**2\/7 + 1396*c\/7 + 660.\nAnswer: -(c - 22)*(c + 3)*(c + 70)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 9*s = -3*x - 1149, 5*s + 4*x = 1960. Let y = s - 411. Which is bigger: y or -33?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678722 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, 107, -38, -2, -1, 4 in decreasing order.\nAnswer: 107, 27, 4, -1, -2, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(-20))**(-6\/29)\/((o**1*o)**(1\/39))**(4\/19) assuming o is positive.\nAnswer: o**(177608\/21489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 9*s + 9. Solve s*n - 5*v = -1, 0 = -4*n - 0*v - 3*v - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 6. Let x(a) = -16*a - 181. Let h be x(49). What is the hundreds digit of h\/(-5) + 3 + n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(-2*h - h + 5*h)*(19 - 31 + 31).\nAnswer: 76*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/5 + 4*z**4\/5 + 376*z**3 + 3460*z**2 - 13950*z - 63000 = 0. Calculate z.\nAnswer: -20, -15, -3, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000135099 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000795642133 to six dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 9*d + 540. What is the units digit of 16\/10 + -2 - (-5256)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 14 = 2*a, -3*z - 5*a + 4615 = 4632 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1358*q**3 + q**2 - 3*q + 2. Let f be r(1). Suppose 20*k - f = 1262. Calculate the remainder when k is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*j + l, -2 = -2*j + j + 2*l. Let r = 5 - 3. Let y be (5 - 4)\/(1\/r). Sort j, y, -1 in ascending order.\nAnswer: j, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + (6 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8175666385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 - 80 = -41*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f*l**3*n**4 - 2*f*l**3*n + 360*f*l**3 + 68230*f*n**3 + 5*l*n + 12*l - 1 wrt n?\nAnswer: 24*f*l**3*n**2 + 409380*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*l - 40, 4*a + 32 = 8*a + 2*l. Suppose 2*y + a = 5*v, 0 = v - 0*v + 5*y - 7. Suppose 3*r - v*r - 17 = 0. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let d be 5 + (0\/2)\/(-2). Suppose 10 = -d*g - 0. Let r(j) = 3*j + 1. Let c(y) = 2*y + 1. Let z(f) = 6*c(f) - 5*r(f). Calculate g*z(s) - 5*p(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 3222?\nAnswer: 3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -757 + -7036.\nAnswer: -7793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a3c4 (base 13) in base 15?\nAnswer: 6a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**2 + 3 - 6*b + b**2 + b**3 - 16*b**2 + 7*b**2. Let o be s(-3). What is the tens digit of 192 + -1 - 6\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199225351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2 + 201*a - 6. What is the remainder when v(-20) is divided by 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4.08. Let x = 3.08 + g. Let o = x + 0. Is 1\/4 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 128\/112*(-7)\/(-2). Suppose 14*t = 12*t + d. Suppose 3*r = -2*r + 15. Solve 4*m = -3*q - 4, q - t + r = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 11018.\nAnswer: 418684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*g - 1640*g + 249*g + 458*g + 455*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-212584)\/(-35430) + 1*-1. Let c = 3666973\/283440 + h. Let d = -491\/16 + c. Calculate the common denominator of -7\/2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111514 + 111514 - 20*x**2 - 113*x to d*x + s*x**2 + k and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from bbvveveehbevbevvev.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-8) + -4 - 10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-678)\/9 - (19\/(-912)*4*-12)\/(-3)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199972 or -199971?\nAnswer: -199972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*u - 5*c, -u - 2 + 8 = -c. Let v = 3 - 3. Let a = v + 3. Calculate the remainder when a is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*s + 31, 2*s = -6*n - 4*n - 25201 + 25233 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -3.2, 0.02, -223, -1, 1?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*k + 4884 = 502, k - 5 = 0. Suppose a - x = 1179. Suppose u - a = 4*g + 4*u, -5*g - 3*u = 4215. Round g to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2101\/25 less than -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207705089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5023)\/(24\/(-30) - (-1)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/1)\/((-48)\/1656). Let t = c + 981. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -28*n**2 + 1702*n + 2098. What is k(62)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -54?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-156))\/((-125)\/50).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*h - 32 - 329 + 2812 = -5016 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in -38, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/664 (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 - 7*q + 8. Suppose -5*u - 4*f - 5 = 0, -2*u + 0*f + 2*f = -16. Let z be n(u). Solve -x - z*t - 3 = 0, 6 = -x - x + 5*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-80)\/50)\/((-16)\/30). Suppose -9\/4*a**4 + 3\/2*a**2 + 3\/2*a**3 + 3\/4 + m*a**5 - 9\/4*a = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30030461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 5*o - 7. Let h(a) be the first derivative of -a**4\/4 + 7*a**3\/3 - 3*a**2 + 2*a - 3. Let d be h(6). Let x = -7 + d. Calculate z(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c = 336. Let u be ((-4)\/c)\/(2\/(-6)). What is the second smallest value in -2\/5, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472080393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4295*-0.016.\nAnswer: -68.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7068.3 times 0.4?\nAnswer: -2827.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 150 = -6*t. What is the common denominator of -17\/7 and 8\/40 + (-451)\/t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 71\/(-3)*6\/8. Let h = 18 + u. Factor 1\/4*l**3 + 1\/4*l**2 + 0 - 1\/4*l - h*l**4.\nAnswer: -l*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from mlmmklccmcsccmw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) 0.6 (b) 8 (c) -0.2 (d) -1\/10 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*(96\/(-30) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2436.81 rounded to the nearest 10?\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) 1 (c) -2\/5 (d) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -14*m + 16. Calculate the remainder when 1\/4 - 243\/(-4) is divided by (3 - 12)*(-7)\/m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.04868 - -0.05132. Which is the smallest value? (a) o (b) -0.2 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -902 + 899. Suppose 0 = i - 2*i - 2. Put 0, i, 4, m in ascending order.\nAnswer: m, i, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.53 and 955.7.\nAnswer: -1462.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/45*(-111)\/1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*g - 2*x, -18 = 18*g - 8*g + x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 224 + 26 = 15*z + 3*d, -5*z - 4*d = d - 380 for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 302*l = 297*l - 11, 9 = -4*n + 3*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 - 395\/2. Is d greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3069 = -148*q - 360 + 173 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 - -8309673.\nAnswer: 8309449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9467 - (120\/21 - (-26)\/91) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 21*g - 38. Let p be o(-19). Suppose p = -2*w, -3*w = 4*j - 2*w - 8. Suppose -18 = -m - 3*m + j*c, 5*c = m. Solve 19 + 6 = m*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w. Let a(b) = -5*b. Let d(l) = 21*a(l) + 6*k(l). Let t(q) be the second derivative of -1\/6*q**4 + 0*q**2 + 0*q**3 - q + 0. Give d(t(v)).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let x be f(10). Suppose 2*z + x = 7*z. What is the second derivative of -3*h - z*h**3 - 2*h - h**3 - h**3 wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 - (2 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.4, -0.1, 1, 87.84, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53009 is divided by 53006.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:19 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 2\/9*x**2 - 737\/9*x = 0. Calculate x.\nAnswer: -1\/2, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 5*m**2 + 7*m - 8. Let c be b(4). Let t = 89\/441 - -1\/49. Put t, 5, 0.4, c in descending order.\nAnswer: 5, c, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -191\/3 (b) 1 (c) 0.72 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1863 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10831725000 rounded to the nearest 1000000?\nAnswer: 10832000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32571792013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2429 + 1?\nAnswer: 242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 4:10 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1 - (-10)\/6). Let z = -454 - -693. Suppose 15 = -16*l + z. What is the highest common factor of o and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*z = -5, -z - 13 = -5*s - 0*z. Suppose -24 + 84 = s*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwnrq. Give prob of sequence qnqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-13 + 1661\/151 + (-30)\/8).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -2 - (48 + -58).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 1. Let i(v) be the first derivative of v**6\/72 + v**4\/4 + 4*v**3\/3 + 3. Let d(q) be the third derivative of i(q). Determine -d(g) - 6*k(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/4 - 13*j**4\/4 + 17*j**3\/2 + 13*j**2 - 30*j = 0. What is j?\nAnswer: -15, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8598 and 45702669?\nAnswer: 4299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/6)\/2)\/(1357\/52923)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6054\/3 - -4 - 4. Is ((-1)\/(4\/r))\/((-23)\/46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2\/125 (b) -2\/7 (c) -396 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43424 <= 43440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 6*b**2 + 3*b - 1. Let v be u(2). Let c be (-6)\/12 + v\/(-2). Suppose -197 = -4*l + j, c*j + 201 = 4*l - 0*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13496759639504 minus 0.1?\nAnswer: -13496759639504.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 643*o - 2*o**2 + 619*o + 0*o**2)*(-3 - 2*o + 3) to the form a*o**3 + u*o**2 + x*o + n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**4 + 6*b**4 + 9*b**4 + (3*b**3 - 5*b**3 + b**3)*(0*b + b - 9*b) + 2*b**2 - 2*b**2 - 2*b**4 + (2*b**4 + b**4 - 2*b**4)*(-1 + 1 - 1).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.7 + -8.8. Let m = -163.3 + 150. Let r = m + 12. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let s(g) be the second derivative of -79*g**3\/3 - 8*g + 7. Determine f(s(u)).\nAnswer: 49928*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k + 7. Suppose -2*x = x - 135. Calculate the lowest common multiple of u(-2) and x.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3299?\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 15\/7 (b) 1\/7 (c) 2\/37 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 + 4*d + 3. Let i be z(-4). Suppose r - 3 = i. Find the second derivative of 28*q - q**2 - r*q**2 - 18*q wrt q.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -41*s**6\/60 - 31*s**5\/30 - 26*s**2. What is the third derivative of u(p) wrt p?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.1 (c) -3 (d) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2862*r - 81. Let q(o) = -143*o + 4. Let p(k) = 81*q(k) + 4*y(k). Let i be p(-1). Let c = i + -103. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 49. What is h(17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 12 (c) -1388\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-150)\/9)\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:26 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15923 + 2952 = 181*k - 62*k for k.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*f**2 + 13*f - 19*f - 2*f**3 - 58*f**5 + 6*f wrt f.\nAnswer: -3480*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12576 divided by -524?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13624?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35086.17 months in centuries?\nAnswer: 29.238475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010111000001100011111 (base 2) in base 10?\nAnswer: -4948767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 13*d - 3*m + 32 = 0, 5*m = 2*d - 19. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -501*(-12 + (-642)\/18).\nAnswer: 11, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -15. Let g(x) = -x**3 + 8*x**2 + x - 10. Let n be g(8). Let z be n - (0 + (-12)\/7). Which is the closest to z? (a) 0.4 (b) -4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10335152\/(-48) + (-2)\/(-3). Let a = t - -1486630\/7. Let z = -2946 - a. Find the common denominator of z and -11\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 302 + -301. What is the closest to h in -2, 0.2, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5983 plus 0.4?\nAnswer: 5983.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-2 + -3 + sqrt(176) + -2.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25761714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b - -1d01b5?\nAnswer: 1d0211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 56*x**3 + 31*x**2 - 2*x - 1. Let w(h) = -225*h**3 - 128*h**2 + 9*h + 5. Calculate -9*m(c) - 2*w(c).\nAnswer: -54*c**3 - 23*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 9 + 17. Let z = d - 9. Suppose 2*x - 44 = -5*g, -4*x + z*g + 88 = 3*g. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 + 2*n**2 - 3*n + 40. Let b(w) = 17*w**3 - 5*w**2 + 7*w - 81. Calculate 7*a(f) + 3*b(f).\nAnswer: 2*f**3 - f**2 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:02 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31616, -31261, -30918, -30593, -30292, -30021, -29786?\nAnswer: -29593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.2, 131, -3, 1, -0.222, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0*u**2 + 13*u**3 - 62*u + 0 + 0*u**5 + 1\/6*u**4 + 53\/30*u**6. What is the third derivative of x(j) wrt j?\nAnswer: 1272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3021)\/4028)\/((-78)\/(-4))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(158 + 5*w**4 - 158 + 2*w**2) - 5*w**4 - w**4 + 4*w**4.\nAnswer: -12*w**4 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -4 (c) 4 (d) 11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -49.9. Let x = 2.3 + -2. Which is the nearest to -1? (a) -2\/15 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-21)\/3 - -3). Let y(r) be the first derivative of -2*r**2 + 1 + 2*r**k + 6*r**2 + 0*r**4. Find the second derivative of y(j) wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**3 + 3*m**3 + 0*m**2 + 12 - m**2 + 9*m - 3*m. Let b be s(-9). Suppose 7*u = 10*u - b. What is u rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5895 is divided by 1946.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4814*r + 110728. Calculate d(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3799.4 + 3799. Which is the nearest to -0.1? (a) -3 (b) -0.0848 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (0 - (0 + -1)). Let q(i) be the third derivative of i**6\/10 - i**4\/12 + i**3\/6 + i**2 - 18*i - 1924. Give q(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39049 - -39048.7. What is the third biggest value in n, -1\/3, -0.1, 1, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2972787*b**3*q + b**3 - 2*b**2*q + 4*b**2 + 1305*b*q + 4*b - 7976 wrt b?\nAnswer: 17836722*b*q + 6*b - 4*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -26. Suppose -5*j = -5*y - 190, -j + 2*y = -0*y - 38. What is the remainder when j is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 54. What is the remainder when u is divided by 68\/(-3)*(-30)\/40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 134*h - 1062. Let f be k(8). Suppose 2*a = -10, -3*t - a - 8 = -3. Suppose t = 6*r + 18 - 78. Calculate the highest common divisor of f and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 18*d**2 + 19*d - 6. Let q be o(-10). What is the third derivative of -4*h**6 - 7*h**2 + 4*h**2 + h**4 - 10*h**2 - 4*h**q + 2*h wrt h?\nAnswer: -480*h**3 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -12 + (6 - (-10 + -14 - -14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83783 (base 12) to base 9\nAnswer: 282160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in -1\/3, -0.3, -0.549, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27318 is divided by 27038.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 11 + 94. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4492938 or 4492940?\nAnswer: 4492940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Suppose -66 = -5*h + 3*y, -4*y + 8*y + 33 = 3*h. Let f(d) = 0*d**2 - d**2 + h*d**2 + 5*d**2. Determine i(f(z)).\nAnswer: -361*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 divided by -5?\nAnswer: -896\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 802572751932*z + 802572751932*z.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(95)*-2 - sqrt(95))*-1 + sqrt(95) + sqrt(95)))\/((sqrt(20) + sqrt(80)\/sqrt(4)*-4)\/sqrt(4)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5463 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 7346*f - 688881. Calculate b(-95).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(612) + (sqrt(17) + -1)**2*5 + sqrt(170)\/(sqrt(50)\/(sqrt(20) - sqrt(5))).\nAnswer: -3*sqrt(17) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (3 + -1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26530 and 722330?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -46*r + 2298. What is the remainder when t(-49) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/11739 and 181\/2856?\nAnswer: 1596504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/17 - 24*q**4\/17 + 78*q**3\/17 - 16*q**2\/17 - 120*q\/17 = 0. What is q?\nAnswer: -1, 0, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + sqrt(275)*-2)\/sqrt(5) + sqrt(55) + sqrt(55))\/(sqrt(11) + sqrt(11) + -2*sqrt(539)) + (-3*sqrt(5) + 0 + 1)*-1.\nAnswer: -1 + 35*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180 * -2.79.\nAnswer: 502.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.2 + -58.072. Let u = -0.179 - 0.083. Let i = k - u. Round i to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 1 + 1 + (-2*y**2 + 0 + 0)*(-4 + 4 + 2) + 4*y**2 - y**2 + 0*y**2 + (-2 + 2 + 2)*(-1 + 1 - 2*y**2).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 3:47 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*m + 2032, 5*w - 403 = 5*m + 4692. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - -464. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**3*w*y**3 + n**3*w*y**2 + 50*n**3 + 37762*n**2*w*y**2 - 2*n**2*y - 68923271*n*y**3 + 5*y**2 wrt y.\nAnswer: 48*n**3*w - 413539626*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2 + 152243*b - 152244 = 0.\nAnswer: -152244, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326724 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957413437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 43 = p, l - 3*p = 2*p + 9. Let x be l\/(-6)*6\/4. Let s = -295 + 296. Which is the second biggest value? (a) s (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 70*q - 54*q - 12 = 0, 2*b - 2*q = 6. Suppose 3\/2*a**5 + 0*a**3 + 0 + b*a**2 - 3\/2*a - 3*a**4 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14961 is divided by 4939?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.002 and -35.8?\nAnswer: 35.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 1)*(942 - 766 + 8*m**2 - 688) in the form g*m + w + s*m**2 and give s.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 3980 = 15*j. Is (3\/(6\/j))\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1215 and 151\/30?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d5c - -3?\nAnswer: -6d59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4927 times -4252\nAnswer: -20949604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 13.5 (c) 2\/39 (d) -0.4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 less than 1006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + ((-230)\/35)\/(-2). Which is the closest to 2\/7? (a) -9 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 4*f**2. Let o = -2 - -1. Let a(j) = j - 1. Let g(t) = -t + t**2 - 3 + 2 + 6*t - 4*t. Let v(y) = -a(y) + g(y). Give o*i(n) - 4*v(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = a - 4*j - 1, -5*j - 8 = 2*a. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 20. Calculate the greatest common factor of r and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cf573 (base 16) to base 3.\nAnswer: -1121010222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r + 61*r - 5*r + 44*r - r**2.\nAnswer: -r**2 + 90*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:05 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 4*g. Let p(s) = 5*s**2. Let q be p(-1). What is the units digit of u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548968?\nAnswer: 2, 37, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*c = 2*c - 9, 4*k = 2*c - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/180 - d**5\/90 + d**4\/36 + d**3\/9 + d**2 + 2*d. Let h(g) be the first derivative of o(g). Find x such that h(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 466206.2 milligrams?\nAnswer: 466206200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -6 - (0 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 2*i + 2*i + (18 - 56 + 12)*(-3*i - 2*i + 3*i))*(-15 + 14 - 12) in the form m + u*i and give u.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 696 = -2*p + 751 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -t + 9. Suppose -12 = 6*z - 2*z. Let f be 2\/z - 22\/(-6). Solve 5*a = 2*r + t, -35 = -3*a + f*r - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 - 25*r. Let l(x) = -7*x**2 - 59*x. Let z(o) = -2*l(o) + 5*y(o). Let n(h) be the third derivative of 5*h**4\/24 + 32*h**2. Give z(n(s)).\nAnswer: -25*s**2 - 35*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 739\/39, -2\/1675, -5\/4, -0.3, 2?\nAnswer: -2\/1675","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1205.42 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -142*y**2 - y - 7. Let w(r) = 288*r**2 + 3*r + 15. Calculate 5*v(a) + 2*w(a).\nAnswer: -134*a**2 + a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/7245*-23*(-9)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 0.3, -3, -14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(37\/1443) + (-10)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 19. What is the least common multiple of 14 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o - 134. Let q be a(-9). Is (0 + -678 + -5)\/(-1*q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(1008))**2 - (-5 + 6*(-2 + sqrt(252)))**2.\nAnswer: -11375 + 1224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in 0.3, -2\/21, 0.4, -99?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -905a (base 14) to base 6\nAnswer: -310412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 13982*i**2 + 2235*i**2 + 4237*i**2 as b + u*i + z*i**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 11. Let z = -36 + 35.68. Let f = z - 13.68. Which is the biggest value? (a) f (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 49*s - 2. Let t(l) = -51*l + 2. Give 4*t(q) + 5*y(q).\nAnswer: 41*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5967 (b) 0.79 (c) -17 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*t + 102*t**3 - 142*t + t**2.\nAnswer: 102*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94714316971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*h - 3*l, 0 = h + l - 0*l - 1. Suppose -h*c + 158 = -18. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}