diff --git "a/data/dm_maths/full_data/1175_11255.jsonl" "b/data/dm_maths/full_data/1175_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1175_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(t) = 13*t - 25. Give v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l + 163. Let n be c(-7). Suppose 62 = 11*i - n. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1050*v**5 + 163*v**4 + 26*v**3 + 19854450*v**2?\nAnswer: 63000*v**2 + 3912*v + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a*r**3 - 9*a*r**2 + a - 1659*r**4 - 722*r**2 + 3*r wrt r.\nAnswer: -72*a - 39816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.02 - 0.02. What is the nearest to 2\/5 in 0.4, 4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2 + 19*j. Let n(y) be the first derivative of -6*y**3 + 9235. Determine f(n(p)).\nAnswer: 2268*p**4 - 342*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8 + (0 - 3) + -5 - (35 + -71)) + -9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1351189532 divided by -2608474\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.292 + 12661?\nAnswer: 12660.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeiiieeeeeee. What is prob of sequence ie?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 31195*o**2. Let k(d) = 9*d - 4. Determine k(b(n)).\nAnswer: 280755*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 204 = -4*r, 3*p - 64 - 155 = -r. Let a be ((-12)\/279)\/(240\/p). Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 1 + 7. Let i = -12169 + 12178. Is i < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -18.26 (b) -1 (c) 0 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8717940 by 5661.\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7741 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10594744 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 v when four letters picked without replacement from zennvvvvzznvnnvnz.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2115981729 to four decimal places.\nAnswer: -0.2116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300223.\nAnswer: 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 5*t)*(13 - 5 + 6).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -296*97912\nAnswer: -28981952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (96\/20)\/6*(200\/10)\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.79 - 3.89. Let h be 0 - (-1 + 12 + 0). What is the closest to u in h, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -559652?\nAnswer: -559653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/(-28) + (-36)\/63 + 22\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 6. Suppose -m + 4*m = o. Find i, given that -3*i**3 + i + i + i**3 - 2*i**2 + 2 + 0*i**m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11011 is divided by 10859?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 2. Let v(p) = -8*p + 9. Give 18*u(i) - 4*v(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -16.7971?\nAnswer: -83.9855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/17 (b) 2\/9 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, 29, 373, 847, 1445?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5 + 312*p**4\/11 + 298*p**3\/11 - 48*p**2 - 104*p\/11 = 0.\nAnswer: -13, -2, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*i - 13, 4*h = -4*i - 6 + 22. Suppose -r = -h*x + 11, 0 = -5*r + r - 4*x + 36. Solve -4*a + r*z = 12, 3*z + 1 = -4*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5594, -5595, -5596, -5597?\nAnswer: -5598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/12 + 13*h**3\/6 + h**2 + 7*h + 6. Determine l(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8120818 rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 469\/1895 - 18\/379. What is the fifth smallest value in b, -1\/5, -5, 2, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1005391520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 4, l: 1, g: 2}. Give prob of sequence nlg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -138 * 17563\nAnswer: -2423694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-125))\/(8\/(-50))*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4908103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 1:57 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = -8. Let t be 8\/2 - 6*(-2)\/(-16)*2. Sort t, 2\/9, -0.3, u in decreasing order.\nAnswer: t, 2\/9, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17740\/7 + -2534. What is the closest to -0.1 in x, 3, -1\/79?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**4 + 8*x**3 + 3*x**2 - x - 2. Let w(u) = u**4 + u**2 + u + 1. Let c(p) = -k(p) - 2*w(p). Factor c(s).\nAnswer: -s*(s + 1)*(2*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*a + 71 - 17, 0 = 5*n + a - 90. Suppose -1 + n = c. Suppose 2*y = -2*y + 20. Solve c = -0*s + s - y*q, s + 10 = -4*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(3\/4)*m)\/m*m**(-7))\/((m*m\/(m**(-2)\/m))\/m*m*m\/m**(-5)))\/((m**(-1\/3))**(1\/14))**11 assuming m is positive.\nAnswer: m**(-1343\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9533\/15906 - 28\/723. Let v = 647641\/66 + -9812. Calculate the common denominator of l and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 - (2 - -7))) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 362*d*v**3 + d*v**2 + 6*d*v + 2099*v**5 - 2*v**2 - 3997*v - 2 wrt v.\nAnswer: 2172*d + 125940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*2*2 + 4 + 2.\nAnswer: 6 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 9*m + 6. Let z be y(-8). Let x be z\/(-6)*(-4 + 1). Let o = 20 - x. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 115252\nAnswer: -115252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 24621, 24834, 25011, 25134, 25185, 25146, 24999, 24726?\n\"Answer: -3*c**3 + 234*c + 24390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748 != 2761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -113 - 1) + 2. Let k = 101 + 63. Suppose 3*b = -b - x + k, 3*b - 2*x - m = 0. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -865116.\nAnswer: -865121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -100 + 5 + j - 67 + 0*j in the form b*j + k and give k.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*b - 395 = -113. Which is greater: b or -4\/13929?\nAnswer: -4\/13929","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {q: 2, d: 1, z: 2, i: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.3 and -27761.\nAnswer: -119372.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**5 + 18*f**2 + 7*f + 79. Let y(x) = 14*x**5 - 36*x**2 - 15*x - 157. Let m(s) = -13*u(s) - 6*y(s). Find the second derivative of m(n) wrt n.\nAnswer: 140*n**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -189, -591, -1373, -2661, -4581, -7259?\nAnswer: -10821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 5) to base 3.\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 5 + (sqrt(162) - (sqrt(162) + 1)))**2 - (6*(-1 + sqrt(162) - sqrt(162)))**2.\nAnswer: 72*sqrt(2) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -12 - (-290 + 384)) + -4 + 18.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2\/(-85)*-5. Let r = 0.4 - 2.4. What is the closest to r in 0.5, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 2*w - 11*w - 11 + 7*w. Let y(r) = -2*r**2 - 12*r - 23. Let q(z) = 5*u(z) - 2*y(z). Suppose 0 = -8*l + l - 42. What is q(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o = 0, -3*t + 3*o = -31653. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -538, -808, -1078?\nAnswer: -1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 436*l**3*w - l**2 - 46*w wrt l?\nAnswer: 2616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1504 = 460. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/30 - 16*c**2. Suppose 6 + 8 = 4*o - 2*m, 4*o = m + 11. Let w(l) = -2*l**2 + 3*l**2 + 3*l**o. Give d(w(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/155, -0.5 in increasing order.\nAnswer: -5, -0.5, -4\/155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-30) + -4 - 6\/45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139\/10 or -6667?\nAnswer: -6667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-482)\/(-10))\/(126\/5985*114) - 20.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2410*n = 2398*n + 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 7*n - 2*u - 17 = 0, 0 = -4*n - 2*u + 28. Solve n*c = -4*i + 5 - 3, -4*i + 4 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.1605\nAnswer: 1.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/2)*u\/u**(3\/5)*(u\/(u**0\/u))**(-45))\/((u*(u**(-2\/13)*u)\/u*u)**30)**(-23\/4) assuming u is positive.\nAnswer: u**(30077\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:31 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-1052)\/(-4) - 3). Let w(p) = -10*p**3 - 5*p**2 - 56*p + 225. Let d be w(3). Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {f: 5, j: 8, m: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44004 and 9728.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*t + 894 - 102 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/504)\/(-3*(-1)\/21).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - 32, 3*q + 93*w - 92*w = -5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 3*l**3 - 4*l**3 + (36*l - 6*l - 5*l)*(2*l**2 + 3*l - l + 0*l**2).\nAnswer: 51*l**3 + 50*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2454974756?\nAnswer: 2, 13, 47211053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34799.3 hours in seconds?\nAnswer: 125277480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 9*t + 32 = 0. Solve x - t = 3*b, 3*x - 5*b - 4 = -b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06067 + 17569852.\nAnswer: 17569852.06067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/39, 0.1, 574.2, 75?\nAnswer: 574.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -255*t**2\/2 + 5091. Let v(w) = -2*w. Let p(i) = 10*i. Let j(a) = -2*p(a) - 9*v(a). Determine j(u(b)).\nAnswer: 510*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1978*n - 1979*n + 860*n**3 - 304*n**3 + (2 + 0 - 4)*(5*n**3 - n**3 - 3*n**3) + 0*n + 0*n + n**3.\nAnswer: 555*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v + 5*v**3 - 3*v + 2*v + v**3. Let h = -173 - -159. Let m(s) = s**3 + 15*s**2 + 16*s + 27. Let t be m(h). Give k(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*m - 4 = 0, -v + 2*m + 2 = -0. Is 2\/375 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 31825767, -5 in decreasing order.\nAnswer: 31825767, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2598 or 3759?\nAnswer: 3759","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15785 is divided by 329?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 7*g**5\/60 - 2*g**2. Let k(q) be the second derivative of 0 - 5*q + 1\/3*q**3 + 0*q**2. Give l(k(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(500)\/(sqrt(10)*4 + sqrt(10))) + 1)*-4.\nAnswer: -16*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**2 - 8*b + 554. Let r(w) = -11*w**2 + 9*w - 462. Let s(k) = 5*o(k) + 6*r(k). Calculate s(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10743, -43011, -96803, -172119, -268959?\n\"Answer: -10762*y**2 + 18*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1159 + 1185. What is the remainder when (-1)\/4*1 - (-2305)\/20 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(221*r**2 - 66*r**2 + 91*r**2) + r**2 - 4*r**2 + 2*r**2 in the form b*r**2 + a*r + y and give b.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -175, -0.13, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-1586 + (4 - 11)). Let j be 1\/(11\/2) + h\/418. Solve -j*m + 13 = 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/88 and 18\/7.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 10. Let d(t) = -1. Let w(x) = -x**3 + 8*x**2 + 1. Let z be w(8). Let q(n) = z*v(n) - 5*d(n). Determine q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15466 - -5789.\nAnswer: 5788.84534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 35*j - 99. Let d be r(24). What is the highest common factor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 14) in base 16?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 6*a**5\/5 - 21*a**4\/4 + 9*a**3 - 15*a**2\/2 + 3*a + 4. Factor f(i).\nAnswer: 3*(i - 1)**3*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148\/111*(-39855)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by 12?\nAnswer: 145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2 - 4*u + 33. Let k(l) = 4*l**2 - 3*l + 17. What is -3*c(n) + 5*k(n)?\nAnswer: -n**2 - 3*n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 8. Let c be b(-6). Suppose -c*i + 2503 + 6697 = 0. Round i to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 16. Let p(y) = 5*y**2 - 5*y**d + 5*y**3 - 3*y**3 + 2*y**3 + 3 - 5*y. Let g = 17 + -14. Give p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c - 9. List the prime factors of u(-14).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -0.2, -4, 0.136, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-170)*-2*(-20)\/(-8)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -20 - (6 - -1)) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.52 + 2.18. Round k to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 7*d + 10. Let r be k(8). What is the third derivative of 28 - 2*x**5 - 28 - x**5 + 12*x**r wrt x?\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665 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: Suppose 0 = 5*f - 9 - 1. Suppose -4*t + t + 5*l = -4, 4 = 2*t - f*l. Factor 12*o - 18*o**2 + 12*o**3 - 15 - 11 - t*o**4 + 23.\nAnswer: -3*(o - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-45))\/(46\/12 - 4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/2)\/l*l)**40)**(-1\/27)\/(l**(4\/5)*l*l**(-10)\/l)**(-2\/37) assuming l is positive.\nAnswer: l**(-4528\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b8390 + 4b?\nAnswer: 1b83db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 17 - (1 - (3 + -1))) + -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12896)\/63440*61*(-10)\/4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34340 - 34337. What is the remainder when 7821 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -x - 0*x. Suppose -x*r + r = 20. Calculate the remainder when 42 is divided by 0 + (-3 - r - -20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034399078 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(156)*-1)\/sqrt(12) + sqrt(13) + (-4 + sqrt(13)*-2 + sqrt(13))**2) - ((-5*(sqrt(1872) - (0 + sqrt(1872))) + sqrt(1872) + sqrt(1872))*6)**2.\nAnswer: -269626 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14680297 (base 10) to base 13.\nAnswer: -306cc88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74.664 times -4\nAnswer: -298.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:40 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1267823, -5071056, -11409779, -20283992, -31693695?\nAnswer: -45638888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(-35*18\/(-735)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sczr when four letters picked without replacement from {r: 1, s: 1, c: 3, z: 5, m: 1, o: 1}?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 580887 and 2322.\nAnswer: 3485322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t - 221. Determine m(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.1. Let x = -21 + 25. What is the nearest to 0.2 in t, x, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -118*h - 1152. Determine q(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 502497?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t**3 - 2*t**2 + t + 1. Determine l(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/(-6)*21\/84?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**2)**31)**(25\/3))**(-30) assuming y is positive.\nAnswer: y**(-23250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, 301, 30, 1 in ascending order.\nAnswer: 1, 30, 136, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 7:49 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/159 and -38\/2385.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3479, 3490, 3509, 3536?\nAnswer: 3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -562 or -561?\nAnswer: -561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 7 - 46. Suppose 11*c = o*c + 12. Is (-4)\/c*-6 + (1 - -130) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-66))\/(63\/18*(-7)\/(-196)*-4)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/4 + 23*s**4\/2 - 103*s**3\/4 - 79*s**2 + 237*s - 144 = 0 for s.\nAnswer: -48, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 22. Let o(s) = -30*s + 550. Let c(n) = -o(n) - 25*y(n). Let v(m) = -252*m**2 - 2. Determine v(c(t)).\nAnswer: -6300*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154269694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3 = -n, 3*n - 6*n + 11 = 2*v. Solve 0 = -2*j - j - n*o + 37, 25 = 5*j + o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98611*0.6\nAnswer: 59166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99 + 8*t + 99 + 3*t**4 + (0 + 1 - 3)*(-t**4 - 2*t**2 + 2*t**2).\nAnswer: 5*t**4 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6))**18)**(2\/103) assuming o is positive.\nAnswer: o**(-216\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 35\/210*16\/2\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35409)\/(-3036) - 3\/4) + (-32)\/(-368). Calculate the greatest common divisor of o and 1111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 5*q - 134 + 73, 36 = 4*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-10) + (-4 - -62) + 0. Suppose 32*x = 21*x - t. Let k = 0 - -1. Which is the closest to k? (a) -4\/5 (b) x (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k - 23. What is the second derivative of -f + 15*f**2 - k*f**2 - 4*f + 3*f wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 2. Which is greater: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.053 (b) 10 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 9. Suppose -4*x + 16 = 4. Suppose 0 = -x*a - 0*a - 21. Let o be q(a). Solve -4*u + c = 9, 7*c - o = 5*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5 + 3. Let r be (12\/18)\/(4\/18). Let p be 2\/6 + (-1)\/r. Solve -i*q - 25 = 5*w, p*q - 5*w = q + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 30. Let h = a + 42. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/((-21)\/(-7))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10835 - 10834.8. What is the closest to o in -14, -4, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**5 - 35126 + 35126 + 54*g**2 wrt g?\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -196*p + 203*p - 28. Solve 13 = 3*r + q + p, -14 = -r - 4*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(90)\/(sqrt(9)*2))*2 - (sqrt(270)\/sqrt(96) + (sqrt(720)*-1)**2).\nAnswer: -720 + 13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-200) - (-6)\/15?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarraaraaa. What is prob of picking 3 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 18*i**2 + 3. Let r be k(9). Let x = 0 + -1. Sort r, x, -3 in decreasing order.\nAnswer: r, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 11 = 3*w, 5*w - g + 583 - 564 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349872 - -66992. Is (-3)\/(-7) - n\/91 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 103102?\nAnswer: 103111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.522213 litres?\nAnswer: 2522.213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37568 divided by 4696?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + 14 + -121 + (-1 - 32)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -7 - 51 - (119 - 120) - 5?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 876, 1382, 1934, 2532, 3176?\nAnswer: 3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**2 + 7. Let z(l) be the first derivative of -l**3\/3 + 244. Determine z(r(a)).\nAnswer: -121*a**4 - 154*a**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + sqrt(95)*2*1)*4)\/(3*(sqrt(100)\/sqrt(5) - sqrt(5))))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - -1.34. Let p = 1.86 - o. Which is the biggest value? (a) -1\/8 (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -g - n*g + 9 = 0. Suppose 5*z - 3*k - 11 = -0, 4*z - 7 = g*k. Calculate the highest common divisor of z and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + (1 - -5) + (-15 - -18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82854713?\nAnswer: 82854713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**2 + o**4 + 103*o**6 - 104*o**6 - o**4 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + -103. Solve t + 16 = -4*r, -u*r + 0*t - 8 = -3*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526042.6kg in grams?\nAnswer: 526042600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13195, 13190, 13185, 13180, 13175, 13170?\nAnswer: 13165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -9 + ((-73)\/8 - -3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 10*m + 3. Let t be q(-5). Suppose 9*d - t = 177. Calculate the least common multiple of d and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*h**2 + (5*h**2 + h**2 + 6*h**2)*(2 + 0 + 2).\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + 3 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297119 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g + 5\/6*g**3 + 0*g**2 - 3. Let z(j) = 6*j. Give z(c(x)).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*i - 4068 = 46*i + 63*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5 + 31. Let p be 1 + (-105)\/91 + (-158)\/w. Calculate the highest common factor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 5)\/(-3 + (-1 - -5)). Let k(y) = 347*y + 7*y**2 + 0 + y**3 - 343*y + d. Give k(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owo when three letters picked without replacement from owwwwqoo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 7*h**2 + 3*h - 6. Let f = -43 - -31. Let z be (f\/(-14))\/((-13)\/(-91)). List the prime factors of o(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3 + 12. Suppose 4*w = 4*g + 560, g - 724 = -c*w - 2*g. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(3\/10)))\/t)**27\/(t*t**(-12)*t)**39 assuming t is positive.\nAnswer: t**(3549\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3890 + -3928. What is the nearest to 0.1 in i, 1\/6, -3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = b, -164*b + 3*z - 24 = -161*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 157 + 327?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364*a + 1365*a = -5*g - 20, -3*g + 34 = -4*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q + 5*q - 24*q as c + f*q and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -207, -392, -647, -972, -1367, -1832?\nAnswer: -2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + -0.67. Let w = -1.1 - q. Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -12194?\nAnswer: -5\/12194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26457200 rounded to the nearest ten thousand?\nAnswer: 26460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -0.3 (b) -20 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (80\/(-1344))\/(5*2\/(-6)). Sort z, 2\/11, -1, -5 in descending order.\nAnswer: 2\/11, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 0 (c) -1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 77*z**2. Let k(f) = 1710*f**2 - 76*f. Let j(r) = -112*r**2 + 5*r. Let x(p) = 76*j(p) + 5*k(p). Give -4*t(u) + 7*x(u).\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -271 or -273?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8149 - -8149.1. Which is the second biggest value? (a) h (b) 3\/5 (c) 7\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + g = -2 - 14, 2*o + 3*g = 8. What is the nearest to 0.1 in -1\/5, -10, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 9120*b**2 + 45693*b + 54810.\nAnswer: -3*(b - 6)*(b + 1)*(b + 3045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 - 7*r + 4. Let c be q(2). What are the prime factors of 5\/c*6 + 239?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241402 - 4?\nAnswer: -241410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80)*2)*2.\nAnswer: -2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*z = -11, -5*o - 15 = 4*z - 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0.3 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + 20328\/(-506))\/2 - 2\/(-23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310\/9 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*j - 67*j - 151*j + 7*j.\nAnswer: -179*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1062.627l?\nAnswer: 1062627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -600*f**5 + 14*f**4 - 276876*f.\nAnswer: -12000*f**3 + 168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 7*u**2 + 3*u - 1. Let c be a(5). Let o = c + 113. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 - (-1575)\/28. Let g = 487\/12 - i. Find the common denominator of 14\/5 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 5. Let m be o(-7). Solve 1 = 4*x + m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8565*k**2 - 7*k - 180?\nAnswer: 17130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**2\/2 - 5415*m\/2 - 303300 = 0.\nAnswer: -1685, -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40661113\/2928 - -13887. Calculate the common denominator of r and 119\/24.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 6390176\nAnswer: 3\/798772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -146.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700)*2 - sqrt(2700)) + sqrt(2700))\/(sqrt(9) + sqrt(63)\/(sqrt(7) + 1*sqrt(7) - sqrt(7))).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = -4*r - 16*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32875.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 4:25 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152193.9872 rounded to the nearest ten?\nAnswer: 152190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 798 + 19853?\nAnswer: 1a540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2925\/15795)\/(605\/396)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 11.9. Which is the nearest to f? (a) -4 (b) -2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7383\/(-920) - 55\/(-2200). Let o = 3\/20 + 1\/20. Let h be 80\/84 + 4\/(-14). What is the third smallest value in q, o, h, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 5*p**3\/6 + 5*p**2\/2 + 5*p\/2 + 12. Determine j so that h(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1354450*v**5 + 5*v**4 + 1354439*v**5 + 5*v**2 + 12*v**2 + (2*v**4 - 4*v**4 + v**4)*(-2*v + 4 - 4) + 0*v**5 + 0*v**5 + 2*v**5.\nAnswer: -7*v**5 + 5*v**4 + 17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7500.926 microseconds in nanoseconds?\nAnswer: 7500926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -5 (c) 3623711\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1178 greater than or equal to -27066\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2, 3, 121653, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 2*g**2 + 3*g - 4. Let m be p(3). Suppose 2*n + 3*h = 57, -n - m = 4*h - 50. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.234769 nanometers in centimeters?\nAnswer: 0.0000000234769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3839913312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -1201\/11. What is the nearest to 2\/7 in -2, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2. Let u(b) be the first derivative of -1 + 0*b + 1\/2*b**2. Give p(u(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 - 6048981*t - 30244980 = 0. Calculate t.\nAnswer: -5, 2016332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 8 - 5*t + 7 + 1.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67195 - -116624. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*d + (-3 - 2 + 6)*(0 + 0 - 3*d))*(-5*d**2 + 6*d**2 + 0*d**2 + (4*d**2 + 0*d**2 - 6*d**2)*(-5 + 2 + 2)).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 5*u**2 - 17*u + 11. Let z(k) = -2*k**3 + 2*k**2 + 6*k - 4. Calculate 4*o(m) + 11*z(m).\nAnswer: 2*m**3 + 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*f - 17 = 0, 4*f + 0 + 4 = 0. Suppose -3*w + v + 26 = -z*v, 2*w + 4*v = -16. Let p = -0.29 + -0.71. Is w greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-355\nAnswer: -354.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446.6928 months to centuries.\nAnswer: 0.372244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 = -3*n. Is (419\/4)\/(n\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58382, -116620, -174856, -233090?\n\"Answer: n**2 - 58241*n - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684573419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**5 + 379160383*p**2 + 550677*p - 354?\nAnswer: 60*p**3 + 758320766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 20774 - 20930 = -13*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6893, 6882, 6869, 6854, 6837, 6818?\n\"Answer: -m**2 - 8*m + 6902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*t - 690 = 57*t. Suppose q - 102 - t = 0. Is q a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8 - 21 - 74*g - 37 - 22*g - 9. What is the units digit of y(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4687 equal to -42172\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 3*w = -154 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 - 3 = 0. Suppose -2*u - 3*u - 40 = 0. Let q = l - u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 3*c + 4 - c - 3 + 2*c**2 + 2*c. Let s be k(1). Solve -x + 12 = u + s, -5*x + 25 = u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (49 - (2 - (21 + 10))).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400411379 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 23309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -9 + ((-116)\/(-25))\/1. Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + sqrt(2736) + -1)*-6 - sqrt(2736))**2.\nAnswer: -1872*sqrt(19) + 462420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/120 - 25*j**4\/48 + 2*j**3 + 2*j**2 + 15*j. Determine i, given that v(i) = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 = -3*i + 2, 0 = 2*i - t - 8. Let r(d) = -8*d**3 + d**2 + d + 1. Let k be r(-1). Suppose 0 = 4*z - k - i. Solve 0*m - z*m = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*s - 832, -2*a = 3*a + s - 836. Calculate the least common multiple of a and 44.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -68\/7, 0.09, -5 in descending order.\nAnswer: 2, 0.09, -5, -68\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/((a\/a**(-1))\/a)*a)\/(a\/(a*((a\/(a*a**4))\/a)\/a))*((a\/a**(1\/4))\/a)\/a**(2\/3))**16)**(-22) assuming a is positive.\nAnswer: a**(5192\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-6) + (-1 - 0). Suppose 8 = l*p - 5*p. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539802 divided by 1.\nAnswer: -539802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2 + 4*f - f + 3 + 2*f. Let x(j) = -9*j - 2. Suppose 4*a - 18 = 10. What is a*w(n) + 4*x(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 29. Let y = 0 + n. Let t = -0.08 - 0.92. Which is the third biggest value? (a) t (b) y (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {f: 2, c: 3, m: 2, t: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38, -57, -88, -131, -186, -253?\n\"Answer: -6*v**2 - v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 963637993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g. Let i(v) = v**2 - 4. Let a(o) = 59 + o**2 - 3*o**2 - 50. Let q(h) = -4*a(h) - 9*i(h). Determine b(q(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g - 334*g + 72*g + 70*g + 125*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 0*b**2 + 5*b**2)*(2*b - 3 + 3*b**2 - 5*b**2 - 4*b).\nAnswer: -4*b**4 - 4*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417519 is divided by 416237.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/4920 and 101\/612.\nAnswer: 250920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-50)*1*1\/(-2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 27*w + 3168 = 0. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**3 - 5906 + 5906.\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a factor of 588189810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 959 = n + 4*o, 3936 = 4*n - 5*o. What are the prime factors of n?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 20.5. Let k = -0.50000002 - c. Round k to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -704836 divided by -16019.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33178505 by 8629.\nAnswer: 3845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 191360 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 67394936 divided by 495551\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304 + 306. Factor 36 + 6*b - 19 + 0*b**2 - 22 - b**q.\nAnswer: -(b - 5)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197992625.\nAnswer: 5, 17, 23, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -82*o**2 + 17*o - 569. Let i(t) = -20*t**2 + 4*t - 141. Calculate 9*i(m) - 2*s(m).\nAnswer: -16*m**2 + 2*m - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.951 - -0.049. Let w = -12291.938 + 12269. Let y = f + w. What is y rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122093 to the power of 1\/2, to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-3)*(280\/(-525))\/(3976\/(-11502))\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 523 - 520. Which is the nearest to u? (a) -1\/6 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 162*f. Let l(y) = -3*y**2. Calculate d(l(c)).\nAnswer: -486*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133 + 140. Let k be (0 + 3)*(3 - 2). What is the derivative of 3 - 2*u**k - y - 1 wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193747\/10 + 38747\/2. Which is the second smallest value? (a) -1\/6 (b) u (c) 5 (d) 98 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2080, -5837, -12006, -20587, -31580, -44985?\nAnswer: -60802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 15, -21, -544 in ascending order.\nAnswer: -544, -129, -21, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 5*x**2 + 4*x - 6. Give w(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 206.953445 to 1 decimal place.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 39 = 3*t. Let a(w) = 7 + 6 + 10*w - t. Let l(m) = -2*m. What is a(l(z))?\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32944\/(-72))\/(4\/15). Let g = 1706 + q. Find the common denominator of -55\/2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1079 in 1\/2, 5, 8\/1587, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 88. Let h(b) = 15*b - 643. Let t(s) = 3*h(s) - 22*q(s). Let f(r) = r - 6. Let y be f(-6). Let u be y\/2 + (-2 - -1). Give t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6*t**3 - 6)*(-36 + 20 - 20).\nAnswer: 216*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 11. Let v be a(-4). Suppose -10 = q - 3*d, 2*d - v = -1. Let t(n) = -174*n + 3. Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -26. Is 0 - 0 - (2 - g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 60\/11, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(200))\/sqrt(10) + sqrt(20))\/sqrt(10))**2 + (sqrt(14)\/(-4*sqrt(21)\/sqrt(3)))**2.\nAnswer: 65\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 30*c**2 + c - 8. Let k(m) = -59*m**2 - 2*m + 16. What is 11*d(x) + 6*k(x)?\nAnswer: -24*x**2 - x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184447206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 96. Does 14 divide s\/3*3\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:24 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 45\/(-10))*(-12)\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - -7 - ((-35 - -51) + -11)) + -22.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 - u - 7*u**2 + 1 + 3*u**2 - 2. Let y(x) = 1. Let f(s) = 4*s**2 - 5*s. Let r(m) = -f(m) + 5*y(m). Determine 2*r(q) + 10*z(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14\/((l**(-18)*l)\/l))**(-41) assuming l is positive.\nAnswer: l**(-1312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 119\nAnswer: -11\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3) + 1 + (-25)\/24.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 0.0151\nAnswer: 0.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5094 and -5097 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -286\/432683?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6525045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 12) in base 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 37913 + 60322. Suppose -8*b = -45*b + m. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136510.321589 - 0.88?\nAnswer: -136511.201589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17 - (4 - 13)) + 2 + 358\/60 and 143\/1086.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 43. Let d be (1 - 1) + t + 27. Let -g - 2*g**2 + 12 + 14 - d - 3*g = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358220 rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46717186 = -7*c + 543725523. Suppose 2*k - c - 61598809 = 0. Suppose 16*v - 19*v = -k. Round v to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*i - 106, f - 208 = -3*f + 4*i. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 735670, 735659, 735644, 735625, 735602, 735575, 735544?\n\"Answer: -2*j**2 - 5*j + 735677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 172*f - 2797. What is p(100)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 5 - 4 + 4 + 2*g. Let s(o) = 3*o - 92. Let x be s(29). What is z(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1413 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(5 - 1) + 80467\/13406 + 2 and -1\/2.\nAnswer: 13406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 1\/5, -1\/9, -5, -0.061293, -2\/75?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (456\/1729)\/(15 - (-1158)\/(-78))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 7. Suppose g = 3*w + 5. Suppose 0*n - 390 = -w*n. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 + (-4)\/56*46. Does 17 divide (354\/n - 4)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*p - 690 = 0. Suppose -4*h - g + 117 = -p, 2*h + 3*g = 116. Let m = -23 + h. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-2*-5 + (sqrt(1216) + -3 + sqrt(1216))*3.\nAnswer: -9 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -70.06.\nAnswer: -69.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1208*f - 13110 = 37626 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5 - 84*y**4 - 374*y**3 + 248*y**2 + 1272*y + 736 = 0.\nAnswer: -4, -1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pph when three letters picked without replacement from hhhpphhppppphpphpx.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {i: 4, y: 1, r: 5, e: 3}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + v - 1. Let p be d(0). Let r = 23.4 - 23.3. Which is the closest to 0.1? (a) 0.2 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5365864 (base 9) to base 10.\nAnswer: -2878069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) -2.4 (d) -2596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.1 + -1.1. Let h = l + -4. Let r = -1.1 + h. Is r equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65601, -131190, -196779, -262368?\n\"Answer: -65589*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/7 - 374*s**2\/7 - 106*s - 370\/7 = 0. What is s?\nAnswer: -185, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02897 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:48 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + -29 + (74 - 58).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3) + (-1*sqrt(6)\/sqrt(2) - sqrt(3))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 734052 and 18205.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -386, -746, -1104, -1460, -1814?\n\"Answer: l**2 - 363*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 97*i + 1. Let u be s(2). Suppose y - u = 194. Let r = y + -7393\/19. What is the closest to 0.2 in r, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**2 - 31*c + 6*c + 7*c + 447*c**3 - 16*c + 7*c**2 wrt c.\nAnswer: 2682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*b**2 + 881617*a**2 - 5*a*b**2 + a*b + 763*a + 2*b**2 - 2 wrt a?\nAnswer: 8*b**2 + 1763234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 15. Let c(y) = 7*y - 14. What is 5*c(o) - 6*h(o)?\nAnswer: -o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698 is divided by 226?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/119)\/((-4)\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (1 - (8 - (2 - (2 - 3))))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 o when four letters picked without replacement from qspojsvoq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -600454 + 850013. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 1952?\nAnswer: 95648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -343*h - 18. What are the prime factors of y(-1)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 381034*v\/3 - 254020.\nAnswer: -2*(v + 2)*(v + 190515)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + b - 3)*(1138 - 23*b**2 - 1138 + 3*b**2 - b**2 - b**2 + (-2*b + 2 - 2)*(2*b - b + b)) to h*b**3 + p*b + v*b**2 + c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -694*r + 10388. Calculate v(15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2696214\/7 or 385172?\nAnswer: 2696214\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62867723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (8 + (16 - 3 - 4)) - -2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 3. Let a be (33\/6)\/((-1)\/(-2)). Suppose -1 = -v - a. Calculate the remainder when 37 is divided by y(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (3\/(12\/16) - 7). Which is smaller: -7\/33 or o?\nAnswer: -7\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -27. What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(156))\/(sqrt(432)*-5).\nAnswer: 8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 1910490 = 58*x + 1910646 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*v - 16329 - 2531, -2*p + v = -12595. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4800 divided by 30\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6488*5\nAnswer: -32440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/5 - 5823*h\/5 + 432110 = 0.\nAnswer: -6173, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 875064*f + 287151376536.\nAnswer: 2*(f + 656298)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -3\/5, 1.18, 3 in ascending order.\nAnswer: -3\/5, 1.18, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*f**3*p**3 + 98*f**3*p**2 - 294*f**3*p + 2*f**3 + 2*f*p**3 - 2*f + p - 1 wrt p?\nAnswer: 978*f**3*p + 196*f**3 + 12*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-3 - -1)\/(-214)). Suppose g - c = -0*g. Suppose -23 = -n - 2*b - 3, -5*n + g = 3*b. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**4\/g)\/(g**0\/(g**(1\/13)*g))*g**4*g**(-3\/2)*(g*g*g\/(g\/(((g*g**0)\/g)\/g)))**(2\/17) assuming g is positive.\nAnswer: g**(1191\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (519\/1038)\/(5\/2 + -2)*(3 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) -79 (c) 0.6 (d) 0 (e) -0.076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -511 + 716. Let a = x + -199. Solve 8*d - 2 = a*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 3509997*k + 3509996.\nAnswer: (k + 1)*(k + 3509996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 4*k**2 - 2*k + 1. Let q be r(-2). Suppose -85 = -q*x + 5. Solve 5*z - x = 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-336)*6 + (32 - (-1435)\/245)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 23*z**2 - 5*z - 77. Let n be k(-6). Let o = n + 183. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 4. Let i(b) = 4*b**2 + 5. Let o(f) = -4*i(f) + 5*n(f). Let c(w) = w**2 + 6*w**2 - 3*w**2 + 5*w**2. What is c(o(m))?\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 0 + 1 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -96, -10\/9, 2\/5?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 21*h + 37 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 50. Suppose o - 63 - v = 0. What is o rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30608 divided by -2.\nAnswer: 15304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + sqrt(114)*2 - sqrt(114) - sqrt(114)) + sqrt(114) + sqrt(114) - sqrt(114))\/sqrt(6) + sqrt(190)\/sqrt(40) - (-1*sqrt(114)*4)\/sqrt(6))**2.\nAnswer: 3211\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 404601978?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.2, -2\/7, -0.083 in ascending order.\nAnswer: -2\/7, -1\/4, -0.083, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17709 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -7*d - 12*d. Let f(h) be the second derivative of -3\/2*h**d - h + 0 + 0*h**4 + 0*h**3 + 1\/5*h**5. Differentiate f(g) with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let w(k) = -k**3 + 6*k**2 - k + 1. Suppose -23 = -3*d - 5*f, -2*d - 3*f = -0*f - 15. Let l be w(d). Sort l, o, 4 in descending order.\nAnswer: 4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 567*r**5\/5 + 2810*r**3\/3 - 5944*r. What is the second derivative of a(j) wrt j?\nAnswer: 13608*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -61*y - 63. Calculate g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127960179?\nAnswer: 3, 47, 53, 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g**3 + 2*g**2 + 3*g + 2. Calculate c(-2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 - 403268*x**4 + 4*x**3 - 2*x**2 + 754801*x wrt x?\nAnswer: -60*x**2 - 9678432*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415986.\nAnswer: 2, 3, 19, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27912?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 6 + -1 - (1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + n + 1. Let r be s(-1). Solve j + 0*j = -4*o - 11, -r*o - 7 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b - 6*b)*(4*b**2 + b**3 - 4*b**2 + b).\nAnswer: -2*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**6 + 6923*n**3 - 8332*n**2 wrt n.\nAnswer: -240*n**3 + 41538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from yusuuuyuuusuu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1)**(-1\/32))**(12\/11) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011220121221110 + 100?\nAnswer: 10011220121221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(-43))**(-1) assuming o is positive.\nAnswer: o**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o + 2. Let y(s) = 63145*s**2. Calculate d(y(c)).\nAnswer: 252580*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 6 + 5 - 2. Give t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43636622 a multiple of 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 - 9*u + 7. Let c be j(-9). Suppose 0 = 2*d - c*d - 5. Is (-1 - d - -47)*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 3397273 and 671?\nAnswer: 3397273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**4\/24 + 4*t**3\/3 - 5*t**2. Let c be d(-6). What is the third smallest value in -1, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1533350 (base 10) to base 7.\nAnswer: 16014260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000739422 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -25822 to the nearest 100.\nAnswer: -25800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 + 3*n + 3. Suppose 10*j - 369 + 329 = 0. Give y(j).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let r = 2 - t. Let v(w) = -7*w + 3*w + r*w. Let u(b) = 2*b**2. Give v(u(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 1. Let g(t) = 3*t**3 - 13 - 5 + 6 + t**3. Let a(z) = -g(z) - 12*m(z). What is the derivative of a(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -233 (c) 8\/5 (d) -0.1 (e) -1\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 1056?\nAnswer: 1056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 3}. What is prob of picking 1 d and 3 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 11 + 11 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 3*d**2 + 8*d + 20. Let y be f(-4). Suppose -5*t = -3*q + q + 888, t = y*q - 1794. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 7:58 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*k - 28*k - 43*k - 50*k + 1 + 25*k to the form w*k + h and give w.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -64*j - 77\/20*j**5 + 0*j**3 + 0 + 11*j**2 + 0*j**4. What is the derivative of l(s) wrt s?\nAnswer: -231*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4544, 1\/5, -1, -4?\nAnswer: 4544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 6*l + 5. Let g be b(6). Solve -k = -3*k + 2*q - 12, 3 = 4*k + g*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = 0, 18*z - 2544 = 15*z - 4*h. Does 40 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b - 6. Let k be n(4). Suppose -2*l - k = -5*l. Let t be ((-28)\/35)\/(1\/(-5)). Solve 0 = t*f - 2*y - 12, l*f + 4 = 5*f - 3*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:40 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 47126205\nAnswer: 28275723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + t + 4*t + 20 = 0, -20 = 3*v + 5*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001100011 - -1111110?\nAnswer: -1001111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1363, -1366, -1369?\n\"Answer: -3*t - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -2*l - 5*d, 0*l + 3*d = l - 85. What is the least common multiple of l and 308?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3883 - -0.0117. Which is the nearest to k? (a) 1 (b) -2 (c) 2 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -3) + -10 - -32.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -31*q + 36*q + 5*n, 2*q = -3*n - 11. What is the nearest to q in -2\/5, -0.07, 1, -2.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 + 2*t - 3. Let m = -14 + 18. Let d = -232 + 243. Suppose -d*u - 11 = -6*u + 2*c, 0 = 2*u + c + m. Calculate o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y. Let q(w) = -2*w. Determine -5*q(s) - 2*r(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/z**(-2\/11)))**(1\/7)\/(z\/((z*z\/(z\/z**1))\/z)*z)**(-1\/3) assuming z is positive.\nAnswer: z**(38\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 215.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2736)*1)**2.\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -431 - -887. Let x be 124\/h + 5\/(-30). Which is the third smallest value? (a) x (b) -3 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l - l)*(-7*l - 4*l**2 + 7*l) + 93*l**3 + 84*l**3 + 63*l**3 + (-2*l**2 - 1 + 1)*(-2 + 2*l + 2) + 3*l**3 + 3*l**2 - 3*l**2.\nAnswer: 251*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170018, 340009, 509974, 679901, 849778, 1019593, 1189334, 1358989?\n\"Answer: -2*k**3 - k**2 + 170008*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:51 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 494*w**2 - 7*w - 46. Let x be f(-8). Suppose j + 41 + 25 = 0. Is 4\/(-22) - x\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/90*(-50)\/(-120).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203.34 - 95.34. Sort p, 6, 5\/3 in decreasing order.\nAnswer: p, 6, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 235, 291, 393, 547, 759, 1035?\n\"Answer: o**3 + 17*o**2 - 2*o + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105*s**2 - 3101*s - 533490 wrt s.\nAnswer: 210*s - 3101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 2:46 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2137*d + 783*d + 673*d + 678*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - (0 + -6)\/(-3). Suppose g*z - 2*z - 14 = 2*r, -2*r = 5*z - 26. Suppose 51 = 5*f - z. What is the remainder when 20 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1800)\/(-825) + 144\/(-66) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + 6*o + 6*o + 6 + 6*o in the form p + y*o and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(156)\/(sqrt(12)*-1) + sqrt(39)\/(sqrt(3) - sqrt(432)*1).\nAnswer: 65*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1128 - 0.0128. Let o = -3 - -2. Let q be (-2 + 32)*(-6)\/(-10). What is the closest to j in 5\/2, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -217, -200, -185, -172, -161, -152, -145?\n\"Answer: -b**2 + 20*b - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 533 - (2 + 0\/(-2)). Suppose 4*d - 1149 - k = 0. Round d to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-6)*3\/(-35)*100\/(-36)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/20)\/((-2)\/214) and (-7 - 40\/(-16))*(5038\/(-242) - -20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*p = -1, 50*q - 46*q - 2*p = 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27771 divided by -2?\nAnswer: -27771\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f + f)*(0*f + 2*f**3 + 0*f) + (-2 - 2 + 5)*(3*f**5 - 2*f**5 + 0*f**5) + 3*f**5 - 5*f**5 - 2*f**5 - 2*f**5 - 3*f**5 + 2*f**5.\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-45))\/((-2)\/4). Factor -2\/9*z**2 - q*z + 0.\nAnswer: -2*z*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*b**3 - 4*b + 2*b + 2*b.\nAnswer: 394*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -16. Let x = f - 13. Sort 0.4, 0.5, x.\nAnswer: x, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2631881\/760148 + -274\/32765. Let x = t + -15\/116. Suppose 9 + 3 = 2*d. What is the common denominator of d and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 372 = 3*g, -3*g + b + 218 + 162 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 + 187. Suppose 26330 = -38*y + w*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3aa + -37?\nAnswer: a373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/34? (a) 1\/2 (b) 1.2 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*z + 6 - 1291*z - 5 to h + j*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31543081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5*p = 5*k - 11, -1 = 4*p + 5*k. Let a = 44\/75 - -2\/25. Let h be (-2 - 3)\/(4\/(-1)). Put p, h, a in descending order.\nAnswer: h, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1256 or 1255?\nAnswer: 1255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 76. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1180 divided by 5\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from lrllrlrdlgirllrli.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326146 is divided by 46074.\nAnswer: 3628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3641*j + 7282*j - 3633*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a + 369165*a**3.\nAnswer: 369165*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/2*(-35)\/(-21))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*r**2 + 196*r**2 - 489*r**2.\nAnswer: 352*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 12. Suppose -x*t + 17 = -3. Let h be (t\/2)\/(2\/(-4)). Which is the closest to 0? (a) -1 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 72.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 13)*(-277 + 277 + 22*i)*(-5*i**2 + 3*i**2 + i**2).\nAnswer: -154*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 32*v + 183. What is the remainder when 5229 is divided by x(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368034917 and 2097.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2 + 2 + (-5*s + 4*s + 0*s)*(-4*s - 3*s + 5*s) + 80*s**2 - 79*s**2 - 4*s + 5*s + 1.\nAnswer: 5*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1278*k - 2 - 15*k**2 - 7*k**2 + 1278*k in the form i + d*k**2 + j*k and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 20*n - 28. Let t be g(-8). Suppose 5*c = 0, 0 = -t*j + 4*c + 8976 + 292. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19313, 12, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l - 13*l - 11*l**2 + 8*l**2 - 57 = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*11*176\/(-8844)*-201.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, -0.079, -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642*i - 78 = -640*i. Sort i, -4, 2, 0.\nAnswer: i, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 2*i - 1. Let p be h(-1). Suppose -a = 2*c - 3*a - 14, -p*a = 3*c + 9. Solve c*g - 2 = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42, -4, -433, 34\/5?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5400c0 (base 13) to base 14\nAnswer: -394361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100\/9, -4, -3, -1, -6, 4, 2.\nAnswer: -100\/9, -6, -4, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 - 54 - 51 - 104*h in the form q*h + v and give q.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1589952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -2163.\nAnswer: 5\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 76*(-6)\/120.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -698, -5, -27, -1, 6.\nAnswer: -698, -27, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -23. Suppose q*f = 10*f. Let o(x) = x + 2. What are the prime factors of o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -128?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243076633415 + 492.\nAnswer: 243076633907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**2 - 6*h**2 + 5*h**2. Suppose -88 = -2*s - 3*g, 3*s - 3*g - 69 = 63. Let x(v) = -2*v + s*v**2 + 2*v - 46*v**2. Determine n(x(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001110000110100000000 + 11?\nAnswer: 10100001110000110100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 8:06 PM?\nAnswer: 93","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 3\/4 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419114 is divided by 29501.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*n - 83*n + 60*n as s*n + g and give s.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**5 + 0*m**2 + 0*m**2)*(-6 + 4 - 1) - m**2 - 2*m**5 + m**2 + (-2*m + 2*m - 3*m)*(28*m**4 + 68 - 68)*(-5 + 2 + 2) + (2*m**4 + 4 - 4)*(0*m + 4*m + 3*m).\nAnswer: 93*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - 6*w - 4. Let p be q(-5). Let y(o) = o + 8. Let d be y(-3). Sort d, p, -3 in ascending order.\nAnswer: -3, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 6*w - 9. Let n be y(-6). Let t be ((-5920581)\/9 - -2)*n. Suppose 5*h = t - 23920563. What is h rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 2, o: 4}. What is prob of picking 2 x and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/2453 - 215714\/61325. Let m = c + -2\/25. What is the common denominator of (-1347)\/84 - (-4)\/14 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a - 4. Let t be m(-11). Let q = 43 - t. Calculate the remainder when 51 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 6*w + 1. Let o be c(5). Let z = o + 29. Suppose 2*l - 7*m - 8 = -9*m, -4*l + 5*m = -16. Calculate the remainder when z is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 6*w + 210. Is 10 a factor of w\/28*40\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108617, -434522, -977723, -1738226, -2716037, -3911162, -5323607, -6953378?\nAnswer: -8800481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 10:12 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 44) + 11 + -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -49 - (-16 + 17)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 296 - 307. Sort -4, 4, 0.4, g in decreasing order.\nAnswer: 4, 0.4, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**3\/2 + 5*k**2 - 5*k. Give p(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41)\/2 + (-1)\/(-2). Let g be (-32)\/j - (-2)\/5. Factor 2*x + 4 - 2 + 0*x**3 - 2*x**3 - g*x**2.\nAnswer: -2*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64, 230, 500, 874, 1352, 1934?\n\"Answer: 52*u**2 + 10*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 32 + 101 = 49*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = p + p - 8, 0 = -4*p + 5*b + 10. Suppose -5*c = -0*v - 4*v - 21, 0 = -v + 1. Solve j - 2*j + c*x + 6 = 0, 5*j = -p*x - 30 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a + 17. Determine b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4491 in -2\/5, -158, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -990 - -7857\/8. Calculate the common denominator of y and (-100)\/(-36) - 2\/4.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, -81, -232, -417, -624, -841, -1056?\n\"Answer: 2*q**3 - 35*q**2 - 14*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -99754.5 take away 0.17?\nAnswer: -99754.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 3*x - 2*x - x**3 - 237320258 + 237320258.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 7*l**2 + 10*l + 10. What is u(4)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -9*d - 3\/5*d**3 - 48\/5*d**2 + 0 = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 14 - (-106 - 13) - 2?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -124\/5? (a) 5 (b) 1 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17457, 17412, 17369, 17328, 17289, 17252?\n\"Answer: b**2 - 48*b + 17504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*30\/((-2160)\/1764).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -277000 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 262 (base 9) to base 16\nAnswer: da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.66127 litres to millilitres.\nAnswer: 49661.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -684394099*y**2 - 340246646 wrt y?\nAnswer: -1368788198*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - n + 10 = 0, -5*j - 14 = -8*j - 2*n. Suppose -j*g = -0*p + 4*p - 76, -108 = -5*p + 4*g. Solve 5*t - 4*i = -p, 0 = -t + i + 4*i - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2)\/((-357)\/(-90) - 4). Calculate the greatest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/5197620 and 133\/25988100.\nAnswer: 25988100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**4 + 15024*z**3 + 5659608*z**2 - 37505978496*z - 75034475280 = 0.\nAnswer: -3138, -2, 1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/15 + 0. Let a(x) be the first derivative of 1\/12*x**4 + 0*x**2 + 0*x**3 - f*x**5 + 4 + 0*x. Factor a(z).\nAnswer: -z**3*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(252) + sqrt(28))\/sqrt(2))\/(sqrt(54)\/sqrt(3)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from ooaoaaa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urg when three letters picked without replacement from cuzufugrcuzzzrcugu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7001 is divided by 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21.43257 meters?\nAnswer: 21432570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + -1 - (4 - -2) - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16417*c**2 + 2*c - 193518 wrt c?\nAnswer: 32834*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 29*g**3 - 11*g**2 - 81*g - 175. Let p(t) = 14*t**3 - 6*t**2 - 40*t - 100. Determine 4*j(o) - 7*p(o).\nAnswer: 18*o**3 - 2*o**2 - 44*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(396)*2*-6 + 5)**2 - (sqrt(396) + -1 + -5 + sqrt(396) + 0)**2*1) + 0.\nAnswer: 144*sqrt(11) + 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-148))\/(-18*(-594)\/(-3888))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Let d(h) = h**2 - 2*h + 5. Let x(w) = -w**2 + 2*w - 4. Let l(p) = -4*d(p) - 5*x(p). What is l(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 21 = -3. What is the tens digit of x\/15 + 298\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/5 (b) 4 (c) 2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8 * -47.20193.\nAnswer: -132.165404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s + 4*s + 3*s)*(-s - 1 + 1).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 9 (b) -1\/6 (c) -1 (d) -0.0169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.9 - 13. Let g = 0.02 - -0.48. What is the nearest to u in g, 1\/3, -4\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w + w**3 - 21*w**2 + 7*w**2 + 2 - 5*w. Let d be c(13). Suppose -58 = -d*t + 62. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -27 + 7\/2*n**2 + 3*n. Give w(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 65603916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 46*a + 272. Is p(29) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 2*x**2 - 1. Let p(t) = -t**2 - 1. Let m(j) = -2*p(j) - y(j). What is the derivative of m(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132941023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2829849180.\nAnswer: 2829849177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 24. Determine y(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 71*k - 1287. What is p(18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 + 123. Solve n = 13*o - 81 + 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -113*f + 3. Let d be (4\/10)\/(-6 - (-174)\/30). What are the prime factors of n(d)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -15 + -18 + 21?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035813451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88276222 is divided by 3288?\nAnswer: 3286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/71 + -79\/284. Suppose 0 = -4*u - 3*n - 3, 2*u - 1 = -2*u + n. Suppose u = -3*o - 3. What is the closest to r in o, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 16) to base 12\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5)\/((-18)\/(-2280)*2)*(-150)\/300.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-142)\/12 - 34160\/(-5856)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 26*d**2 - 25*d - 10. Let o be q(-12). Is (-7723)\/(((-3)\/15)\/(o\/10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17717619 is divided by 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -37*d**2. Let x(w) = 31*w. Calculate x(c(q)).\nAnswer: -1147*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.057499 and -53.5?\nAnswer: 3.0761965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -537968800 times -0.1\nAnswer: 53796880","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Product of -3.49 and -2.\nAnswer: 6.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -4. What is the common denominator of (-1)\/((-14)\/69) - -1 and (-85)\/12 - (-4 - p)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 50622?\nAnswer: 50622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 6:53 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 - 265*u - 4285. Let l(s) = -25*s**2 + 793*s + 12857. Let a(w) = 4*l(w) + 13*n(w). Differentiate a(y) wrt y.\nAnswer: 8*y - 273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 2*d + 4. Let b = -45 - -12. Let f(r) = -5*r**2 + r + 6. Let y be f(3). Let j = y - b. What is v(j)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f)**2\/(f*f*f*f**7)**(-2\/9) assuming f is positive.\nAnswer: f**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8022 - 44477 + 9251 = -106*x. What is the highest common factor of x and 1938?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.202503 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9 - 7 + 1 + 3*g**2 - 5*g**2 - 9*g. Let o be -2*2*(8 + -7). Let r(y) = y**2 + 5*y - 2. Let z(m) = o*p(m) - 7*r(m). Calculate z(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:47 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let u(j) = -3*j + 3. Let v be -10*(-4)\/(3 + 5). Give v*w(a) + 2*u(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -13*k**6\/12 - k**5\/30 - 383*k**4\/24 - 103*k**2 + 2. What is the second derivative of x(q) wrt q?\nAnswer: -780*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365474 is divided by 426?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*(-2)\/(-9)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 22. Let i be q(-12). What is the units digit of (-20)\/(-120) + (i\/(-12) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6970 and 5406.\nAnswer: 1108230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10101101101111111010 (base 2) to base 7\nAnswer: -6022565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12040*z + 2826*z**3 - 12040*z.\nAnswer: 2826*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1519, -5956, -13351, -23704, -37015?\n\"Answer: -1479*n**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 1. Let o(y) = 58*y**3 + 2*y**2 + y + 6. Calculate -o(d) - 6*u(d).\nAnswer: -64*d**3 - 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.43*25349.\nAnswer: 10900.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356.15 - -362.42. Which is the nearest to p? (a) -2 (b) 2\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/15)\/((-84)\/(-40)). Suppose 3*l = -4*i + 8*i + 7, -5*i = 2*l + 3. Let p be 1\/(-2) - (-11)\/2. What is the closest to -1\/2 in j, p, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*-1 + 54887\/(-42). Let i = l - -1314. Calculate the common denominator of -7\/16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50592, -50587, -50584, -50583, -50584, -50587?\n\"Answer: -g**2 + 8*g - 50599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -63*f**3 - 58*f**3 + 5 - 155*f**2 + 41*f**3 + 249*f - 319*f = 0.\nAnswer: -1, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k - 4. Let y be w(-4). Find the third derivative of -y*d**3 + 12*d**3 - 11*d**2 + 10*d**3 wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3\/7 (b) 0.3 (c) -2\/13 (d) -0.2712\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 987.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2143*a**3*d**2 - 294*a**3*y - 11*a**2*y + 3*a*d**2*y - a*d*y + 112*a*d - 3*a - 2*d**2*y - 15*d**2 wrt a.\nAnswer: 12858*a*d**2 - 1764*a*y - 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183925 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 7:09 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixxixix. What is prob of sequence xx?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 0*m + 2*m + (-m + 0*m + 7*m)*(-3 + 0 + 0) - 33*m - 6*m - 25*m to x + r*m and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23055 (b) 1\/10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b**2 + 22*b**2 + b**3 + 20*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.516 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 1. Let a(f) = 0*f + 0 - f + 1 + 3*f. Let m(l) = 4*a(l) - 6*g(l). Calculate m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62988 is divided by 750?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/102 - -2\/17. Suppose -4*a - 2*z = -110, -40 = -a + z - 5. Let p be ((-8)\/a)\/((-4)\/(-10)). Is l at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5339935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -159\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*y = -574*y + 1470 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 340122 less than 2?\nAnswer: -340120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 269. Let m = 441 - l. Suppose q = 3*q - m. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 52. Let m be g(0). Let z = m - -61. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q = 39*q - 32. Sort -5, q, 0 in decreasing order.\nAnswer: 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -1\/30*h**5 - h**2 + 0 - 1\/30*h**6 - 2\/3*h**3 + 0*h + 5\/12*h**4. Factor d(k).\nAnswer: -2*(k - 1)*(k + 2)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/6)\/(-17)*492\/(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7635 (b) -14 (c) -4\/5 (d) -5 (e) -6 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 101\/(-6)*-2 + (-2)\/(-6). Is 8\/(-12)*(-64209)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1 - (-579 + (-30)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.4 (c) -2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -7 + -3 + -6 + -50 + (50 - 49).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 - 0\/(-6). Suppose 0*x - 70 = -i*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 400. 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: Let g(y) = 32*y - 4. Let u(o) = 102*o - 12. What is -14*g(b) + 5*u(b)?\nAnswer: 62*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33898332 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*q - 80, q + 21 = 2*q + b. Find the first derivative of 11*s**4 + 6 + q - 29*s**4 wrt s.\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:59 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/22*3\/10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b22b89 - a?\nAnswer: b22b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*x**3 - 105*x**2 + 41*x + 14466302.\nAnswer: 60*x**2 - 210*x + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14980000 to the nearest 100000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 11*i**2 - 8*i + 12. Let a be n(-10). Let y be ((-10)\/3)\/(a\/60). Solve -2*m + 0 - y = 5*f, -5*f - 4*m - 35 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17488, -34978, -52564, -70294, -88216?\n\"Answer: -8*z**3 - 17434*z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34128.021 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 395048, 3 in ascending order.\nAnswer: 1, 3, 395048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1549.6156 + -0.3844. Let g = -1559.315 - x. Let w = g + 0.015. Round w to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 13. Let g = w + 21. Suppose -g = -3*n + 5*o - 2*o, 4*n - 25 = -3*o. Solve -t + n*t - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 4*p - 7. Let m be z(5). Let s be 64\/616 + m\/7. What is the second biggest value in s, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*i - 1456498, 4*i + 2913020 = 1187*x - 1183*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/(1173\/(-1104))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5 = 2*t. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000279532312 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 6162 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -2, -8503.\nAnswer: -8503, -5, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 720, 2, 3, 79, 4, -67 in descending order.\nAnswer: 720, 79, 4, 3, 2, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*k - 1 = -2*u + 187*k, -2*u = 3*k + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2489295*d + 2489295*d + 14*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853*m + 4234*m - 856*m - 853*m - 847*m - 829*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 2*a**2 - 4*a**2 + (-2 - 3 + 4)*(2*a**2 + a - a) - 3363 - 3360 + 549*a**2 + 6721.\nAnswer: 546*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 190*i - 3233. Let l be f(17). Let y be (87\/(-2) - 0)*2. Let k = 171\/2 + y. Sort l, k, 0.1.\nAnswer: l, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 + 15 = 0. Let u be (-2)\/(-20)*-62 - w. Which is the nearest to u? (a) 1 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*z - 20*z - 25*z.\nAnswer: -110*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ee3 (base 16) in base 8?\nAnswer: 27343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k + 10. Let g be z(0). Let v = g - 7. Solve 2*r - v = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(1\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*(sqrt(84)*-1 + sqrt(84) + sqrt(84)) - sqrt(84)) + (sqrt(84)*-2 - sqrt(84) - sqrt(84) - sqrt(84))*-4)\/(1*sqrt(588)*-5).\nAnswer: -4 - 16*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 241532 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34529 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) + (-68)\/(-12). Suppose z*v = 140 - 25. Let d = -8 + v. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10580194901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2241162.65 rounded to the nearest one thousand?\nAnswer: -2241000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 8*s**3 - 3*s**3 + (s**2 + s**2 + 0*s**2)*(14*s - 7*s + 8*s).\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - 1 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6494696, 5 in descending order.\nAnswer: 5, -4, -6494696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*k + 11. Let j = 2 + k. Solve -4*c + 4*f + 20 = 0, -4*c + 3*f + j + 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - ((5 - 28) + 0 + 300 + -287).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 605.439 - 604. Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-38 - -33) + 1 + 90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 2.9220177?\nAnswer: 2.6220177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1820 and 59\/40.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2131419, -8525696, -19182825, -34102806, -53285639?\n\"Answer: -2131426*g**2 + g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9332328, 18664654, 27996980, 37329306, 46661632, 55993958?\nAnswer: 65326284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -114*w - 451. What is g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0292221 rounded to 4 decimal places?\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 486833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 - ((-192)\/(-920))\/(15\/650).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -154, -166, -176, -178, -166, -134, -76?\n\"Answer: z**3 - 5*z**2 - 4*z - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**13)\/m**(1\/6))\/((m**(-11\/4)*m)\/(m\/m**(1\/8))) assuming m is positive.\nAnswer: m**(-229\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let u(c) = -c**2 - 9*c - 18. Let i be u(-4). Let h(o) = 86*o**i + 99*o - 99*o + 82*o**2. Give h(q(k)).\nAnswer: 672*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1))\/(b*b**23*b*b))**(-4\/7) assuming b is positive.\nAnswer: b**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 737830987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n + 3*a = -31*n - 1758, 4*n - 5*a - 1409 = 0. Calculate the remainder when n is divided by 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6018, 10, 4 in increasing order.\nAnswer: -6018, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-3 + sqrt(104))*6)\/((-1*sqrt(88))\/sqrt(11)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111581 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.9795m to nanometers.\nAnswer: 14979500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39281*y**2 - 16357*y wrt y.\nAnswer: -78562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61363.\nAnswer: 61363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 4*s + 3*s)*(4*s - 3*s + 4*s**2 - 2*s) + 282*s**2 - 282*s**2 - 23*s**3.\nAnswer: -31*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-3\/4))**(3\/13)\/((((n\/((n\/(n*n*n\/n**6*n))\/n))\/n)\/n)\/n**(1\/6)) assuming n is positive.\nAnswer: n**(539\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -570 + 679. Let s(k) = 77*k + 36*k - c*k. Let l(r) = -8*r. Determine l(s(y)).\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 16) + (-1091 - -1113)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6453768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkxkkxk. Give prob of sequence xxx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/14*2*238\/680*10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.53 - -4.67. Let i = -5.6 + l. Let n = -93 - -375\/4. Which is the third smallest value? (a) 8 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66 + 906?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-474)\/3081 + 136\/546. What is the closest to -2\/31 in q, 0.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 7*x - 13. Let q be h(9). Suppose -5 = 2*u - q*i, -4*i - 10 = u - 4*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -716 - 1?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 17, 35, 55, 77?\n\"Answer: h**2 + 13*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 36*k + 15*k + 4*y - 2*y = 83, -6*k = -5*y + 58 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 114 - 384. Solve 5*n = m - 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i. Let v(c) be the third derivative of -13*c**4\/4 - c**3\/2 + 4*c**2. Determine p(v(w)).\nAnswer: 156*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 109, 193, 259, 277, 217?\n\"Answer: -5*m**3 + 36*m**2 - m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -726300 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*b + 8 = 0, 2*b = 5*u + 9 + 3. Let p(y) = -y**2 - 6*y - 3. What is the smallest common multiple of 7 and p(u)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 22 + 118 = 0. Differentiate 32 + 2*i - 13 - i**2 - t*i - 18 wrt i.\nAnswer: -2*i - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + i + 2 = 0, 11*i = 7*i - 8. Suppose 5*a = -2*v - g*a + 155, -2*v - 4*a + 154 = 0. Calculate the highest common factor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**3 - 3*v**2 + 9*v + 1. Let g(k) = 14*k**3 - 8*k**2 + 25*k + 3. Let p(f) = 4*g(f) - 11*l(f). Let m(d) = 2*d**2 - 1. Give m(c) + p(c).\nAnswer: c**3 + 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4*r + 16. Let h be l(-14). Let f = h - 65. What is the second derivative of 26*n + f*n**5 - 8*n - 130*n**5 wrt n?\nAnswer: -780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 3 + 0*t - 1\/3*t**3 + 0*t**2 - 3\/4*t**4. Let p be k(-1). Solve p*w = -0*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -567*h**2 + 463246*h - 5711. Give d(817).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2091, -17057, -57733, -136971, -267623?\nAnswer: -462541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 8*f**2 + 15 - 6*f**2 + 11*f - 4*f**2. Let y be j(11). What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6657 at least 4456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 373*v**5*y - 2*v**3*y**3 + 319*v*y**3 + 3*v*y wrt v?\nAnswer: 7460*v**3*y - 12*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2*y - 3*y + 3*y)*(-214*y + 221*y - 13*y - 195) as x*y + p + c*y**2 and give x.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44.9 (b) 1\/2 (c) -4 (d) 20 (e) 1.4 (f) -3 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/7)\/(j**2*j)*(j**(1\/5)\/j)\/j**4*(j**(-1\/2)*j*j\/(j\/j**(1\/3)))\/(j*j\/(j**0*j))**46 assuming j is positive.\nAnswer: j**(-11243\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2 + 1)*1. Let z = 0.6 - 0.4. Let m = 1.5 - 2. Which is the third smallest value? (a) m (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let h(p) be the third derivative of -61*p**4\/12 - 11*p**2 - 92. Calculate h(t(v)).\nAnswer: -122*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 40095 + 122982 = 33*z. List the prime factors of z.\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5 = 5*y, 4*y + 3*p + 9 = 2. Let v be -2 - ((4 - y) + -4). Suppose v*m + m = 4, 14 = a + 2*m. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-837)\/1512 - (-75)\/(-125)*(-5)\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-11\/4)\/(((m*m\/(m**(-3)*m))\/m)\/m*m\/(m*m**(-2\/31))) assuming m is positive.\nAnswer: m**(-43\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**3 + 21*o**3 - 15*o**3 + 11*o**3 - 9*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1110001101010110111001 (base 2) to base 3\nAnswer: -21000020100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90528*o + 66*o**2 + 90528*o - 48 wrt o?\nAnswer: 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 10*q - 15. Let s(w) = 2*w + 3. Let d(a) = -n(a) - 5*s(a). Suppose 0*l - 2*l + 4 = 0. Let r(o) = 4*o**2 - o**l + o**2. Calculate d(r(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/54 - 46*m**3\/27 + 529*m**2\/9 + 3*m + 11. Factor s(k).\nAnswer: 2*(k - 23)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*k**2 - 11*k**2 - 3*k**2 - 15*k**2 - 29*k to the form g + s*k**2 + v*k and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -3*h**4\/4 - 4*h**3\/3 + 5*h**2\/2 - 19*h + 46. Is y(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (2 - -1))*(-2 - -1). Suppose 13 = o + p. Is ((-632)\/o)\/((-7)\/((-21)\/(-2))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -3.7. What is the second biggest value in 0.5, 2, q, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58343?\nAnswer: 41, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623119?\nAnswer: 7, 89017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:39 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 9.98. Let r = 0.98 + k. Put 0.4, 3, r in descending order.\nAnswer: 3, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -13*p**4\/8 + 2*p**2 - 41. Let g(b) = b. What is z(g(i))?\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 626?\nAnswer: 1\/626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*z - 3*q, -9*q + 3 = -6*q. What is the remainder when (z + 11 - -7)\/((-3)\/(-51)) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 1. Let o = 35 + -36. Let s(l) = -2*l + 2. Let k(t) = t - 1. Let f(z) = 6*k(z) + 2*s(z). Let h(a) = o*d(a) - f(a). Give h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10153 divided by 5?\nAnswer: 10153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 100 = h + 71, -3*a + 3*h + 177 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.844 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -14*b - 48. Is b not equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 9 = 2*f. Let j = -49 + 60. Let k = j + 1. Calculate the greatest common divisor of k and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/5 (b) 2\/7 (c) -2\/17 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7729021 is divided by 697?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -222, -559, -1120, -1905?\n\"Answer: -112*i**2 - i - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (15 + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from zgzggbzzzggggbzbzzz.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/5 (c) -4\/5 (d) 0.1071 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -v - 25 - 7, -20 = -5*v. Does 36 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgg when three letters picked without replacement from {c: 8, g: 2, a: 5}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 + 20*r + 31. Let i be p(5). Solve 5*d + 5*g + 43 = 3, 3*d + i = 3*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-33)\/(3\/((-54)\/168)) and (-6)\/9 - 358\/(-132).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 9*m**2 + m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1431, 1431, 1421, 1395, 1347, 1271, 1161, 1011?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)*p**4)\/(p**(-5)*(p*p\/p**(-1\/5))\/p)*p**2\/(p**(-7)*p)*p**(-2\/11)*p*p*p**(2\/7)*p assuming p is positive.\nAnswer: p**(7201\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 180046, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(112)*1)**2.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 12. Let k be p(-8). Suppose y = -11 + k. Suppose -2*d = 5*n - 46, -23 + 57 = 5*n - 2*d. What is the smallest common multiple of y and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46875826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and -2867.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z - 16. Let w = 10 + z. Solve -3*c = -o - 0*o - 1, -w*c = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 338 and 273.\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 3264.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*x + 611 - 611)*(-x**2 + 4*x**2 - 4*x**2) + (-4*x**2 + 4*x**2 + 4*x**2)*(4*x + 0*x - 3*x)*(4 - 3 + 1).\nAnswer: 43*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47430 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*r + 24, 6*r - 2*r + 3*s = 32. Calculate the common denominator of 76\/3 and (28\/r)\/((-95)\/10).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 7. Let j be g(8). Let c be 1*j - (-22 - -1). Let l(b) = -40*b + 230. Let d be l(5). What is the highest common divisor of d and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c. Let k(b) be the second derivative of 1\/3*b**3 + c + 0*b**2 - b. Let z(i) = 2*i**2. Give k(z(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -8, -1\/4 in ascending order.\nAnswer: -8, -1\/4, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1165 + -11?\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113928 by -303.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 29*p - 16. Let r(d) = 53*d**p + 95 - 174 + 79. Let o(n) = -6*n**2. Give r(o(t)).\nAnswer: 1908*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 5) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1375*r**2*s**2 - r**2*s + 44184*r**2 - 2*r + 97*s wrt s.\nAnswer: -2750*r**2*s - r**2 + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 2*d + 6. Let m be z(5). Let t be 3\/9 + (-15)\/m. Suppose 4*x = -3*j + 2*j - 18, 3*x + 11 = -t*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {n: 1, b: 1, x: 1, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpjd when four letters picked without replacement from {c: 5, t: 4, d: 1, p: 1, g: 7, j: 1}.\nAnswer: 7\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 6:19 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*c = -434*c - 360. Which is bigger: -91 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**2\/2 + m + 7. Let j(o) = -4*o - 3. Let d(c) = -c + 4. Let g = -7 + 13. Let i be d(g). What is i*p(w) - j(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/1419 and -19\/774.\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25881\/62 - 3\/6. Let g = v - 417. Put g, -2\/7, 2\/3 in descending order.\nAnswer: 2\/3, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 473580 and 1920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-8)*37\/333. What is the nearest to -1 in -3, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*4\/3. Suppose -3*i = 1 - 13. Find the third derivative of -3*b**s - 4*b**5 + i*b**5 + 2*b**6 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:53 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23439670 and 8.\nAnswer: 93758680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)\/p**(-2\/13)*p**(-4\/15)\/(p\/(p**(-1\/7)*p)) assuming p is positive.\nAnswer: p**(-18094\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 9. Let p = -3 - g. Suppose -4*l = -p*l - 4. Solve 2*b - 6*s = -l*s + 20, -3*b = -4*s - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44669139 to the nearest integer?\nAnswer: 6683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8528380, -8528379, -8528378, -8528377, -8528376, -8528375?\n\"Answer: k - 8528381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55927, -55989, -56051, -56113, -56175?\n\"Answer: -62*b - 55865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1930 + -1702. Let b = -16 - -16. Suppose b = 3*z - 22 - 14. Calculate the greatest common divisor of f and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 8*j - 108. Is k(-23) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42.70363817 from -12.\nAnswer: -54.70363817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/30*(12 - 9)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -6\/17 (b) -150 (c) -3\/7 (d) -176 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(1\/(-2)). Suppose 2*s - 15 = -w*s. Let c(m) = m + 0*m + 3*m + 1 - s*m. What is c(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(3 - 0) - 0. Let a be 1 - b*(-3)\/6. Suppose y + 3*o - 50 = o, 2*y + 2*o - 94 = a. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -2, -5, -19 in descending order.\nAnswer: 5, -2, -5, -13, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30299, 30199, 30097, 29993, 29887?\nAnswer: 29779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -5 + (sqrt(847) - (sqrt(847)*-3 + sqrt(847))**2).\nAnswer: -3393 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 49 = 4*q + 1, -5*c + q = -87. Calculate the lowest common multiple of c and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218.953 + 219. Let h = -1.147 + t. Sort h, -1\/8, -4 in increasing order.\nAnswer: -4, h, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30166\/5 + -420289\/70. Let z = h + -29. Find the common denominator of 23\/6 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3134*i + 3134*i - 163*i**2 in the form k*i + p*i**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36048, 33990, 31932?\n\"Answer: -2058*f + 38106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82323 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 63*k - 9. Let x be v(2). Suppose -3*d - d + 2*l = -108, 2*l - x = -5*d. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*r - 6, 3*h - 2*r = -2*h + 30. What is the first derivative of 0 + 45*w**4 - 4 - 34*w**h wrt w?\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 1. Let f be (-91)\/(-52) + 1\/4. Suppose 3*b + 3 = 0, 3*z - 15 = -f*z - 5*b. Give a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -52 (c) 0.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose b = o - 0 + 4. Let q be (0 - -28)*(-2)\/o. Solve -4*g - 6 = -q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 21 - (-11 + 5 - 3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 18 (c) -29.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 103. What is the greatest common factor of p and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91163.81 - -92584. Let a = v + -1406. What is a rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 4, z: 1, b: 2}. What is prob of picking 1 e and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**4 - 2330*i**3 + 16135*i**2 - 32170*i + 18360 = 0.\nAnswer: 1, 2, 4, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v + 7*v + 60804 = 0. List the prime factors of v.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16.07. Let c = -5 - 7. Let k be (-2)\/(-2)*3\/c. Is o at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136275 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 1. Let q(d) = d + 2. Let b = 23 + -20. What is b*h(t) - q(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 446 + -435. Suppose -i*t + 4132 = -6*t + d, -t = d - 828. Is t a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((6*sqrt(1573) - sqrt(1573)) + 4 + 3 - (-6*(2 + sqrt(1573)) + (sqrt(1573) - (sqrt(1573) + 0)*-6 - sqrt(1573))))**2 + 4).\nAnswer: -198450 - 10450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4827 and 17.\nAnswer: -4810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/171*3*((-56)\/(-112))\/((-20)\/8)\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*w - 12 + 4, 15 = 5*h + 5*w. Suppose z - h*y = -2*z + 22, 4*y - 4 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 243*j - 4. Let h be n(3). Suppose -4*a + h = a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 165 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -20.7. Which is the closest to -2\/5? (a) -5 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 77\/3 of a decade?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 - 495 + 1499 = -74*k + 32*k for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 27*w - 587. What is the remainder when 89 is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1068 = -24*w + 91*w - 334*w. Solve -5*s = -w*x - 22, 31*x - 36*x - 23 = -4*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/111, -2\/15, -24235?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 2\/3 (c) 3.88 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.918 - -0.019. What is x rounded to two dps?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-9 - 3 - -23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -39248, 3 in ascending order.\nAnswer: -39248, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.27 - 19.27. Let r = 7.9 - -1.1. Let y = -6 + r. Which is the biggest value? (a) 0.3 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -35 + -1 - (-11 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1890*j - 15. Suppose 5*r = -5*k - 40, 2*r + 3 = -r. Let o be n(k). Is o\/35 + (-16)\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s + s + 803400 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:16 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**15\/f)\/f**17 assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2240 and 2240?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) -5 (b) 685\/2 (c) -4 (d) -10 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587.7015 millilitres to litres.\nAnswer: 0.5877015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66.6? (a) 4 (b) -0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2484035068 divided by 4.\nAnswer: 621008767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5802 != -5823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 12004215?\nAnswer: 12004215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1689119446 and -0.098978?\nAnswer: 1689119445.901022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211214887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 18*s**5\/7 - 374*s**4\/7 + 204*s**3 - 816*s**2\/7 - 256*s\/7 = 0.\nAnswer: -2\/9, 0, 1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from hhhxx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 3. Is 9 a factor of c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*q + 3*x = 107*q + 29, 0 = 5*q + 6*x - 32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 94, 250, 476, 778, 1162?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 + -73. Let j = c - 171. What is the smallest common multiple of 16 and j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*d + 3676, 28*f - 6 = 29*f. Are 913 and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -633, -1392, -2151, -2910?\nAnswer: -3669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a. Let u(x) = -1. Let b(w) = -w + 1. Let p(g) = b(g) + u(g). Give p(o(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t**2 - 13*t - 6*t**2 - 5*t**2 + 7*t**2 wrt t.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32 + 23*b**5 - 78*b + 34 - 101 + 39 - 5*b**3 wrt b?\nAnswer: 460*b**3 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 6*j + (-17 + 1 - 16)*(3 - 3 - 3*j + (-4 + 2 + 0)*(4*j - j - 4*j)))*(3*j - 4*j + 3*j).\nAnswer: 76*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.059 (b) -351 (c) 0.2 (d) 1\/3 (e) 514 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/3, -3.5, 4, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/10 + (-15)\/(-25). Suppose 5*a - 3*o = 59 + 169, 49 = a - j*o. Let t = -112 - -128. Calculate the remainder when a is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1783\/(-1783))\/(1\/(-24)*-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12046978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/5 - 18\/(-45). Let f(l) = l**3 - 7*l**2 + l - 2. Suppose 5*t - 14 = 3*t. Let k be f(t). Solve 3*p + 12 = v*d, k = d + p - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i + 2. Let q(r) = 3*r**2 - 4*r + 5. Suppose -42*f + 49*f + 49 = 0. Give f*w(v) + 3*q(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206344317*v**3 + 4*v**2 + 188495*v.\nAnswer: 1238065902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 70*r**2 + 2*r + 1. Let f be q(-1). Let n = f + -30. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22599129871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -640.272 * -0.005.\nAnswer: 3.20136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -193 + 51*l + 0*l**2 - l**3 - 25\/4*l**4. Find the first derivative of p(u) wrt u.\nAnswer: -75*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 8*v**2 - 8*v + 7. Let d be z(-9). Let k be (-2 - (3 - d)) + 1. What are the prime factors of k*(-5)\/(-2)*52\/(-20)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1763890?\nAnswer: 2, 5, 176389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/39 - ((-42)\/(-208))\/7. What is the second biggest value in -6\/5, -4, z?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 90*o**3 + 27*o**2 - 15*o + 17. Is c(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*f**4 + 3*f**3 + 433*f**2 wrt f?\nAnswer: 768*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-5 - 4) + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 14*z + 19. Let g be t(-15). Solve u + 3*u + 17 = -5*n, -16 = 2*u + g*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122010121 (base 3) to base 12\nAnswer: -728a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 3*i**2 + 96*i - 1615. What is j(10)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 64.21524s?\nAnswer: 64215240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 8. Let r(g) = -2*g + 21. Let i(z) = -3*r(z) - 7*y(z). Let w be i(-38). Solve l - m = 1, 0*l - w = -3*l - 4*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6721950 divided by 16395\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41299 - -41393. What is the greatest common divisor of p and 56306?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*f - 550*f + 14 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 3*j - 345 = 2*s + 2*j - 16*j, -5*j - 26 = -7*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*y - 602202 - 218898. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202530, 202538, 202560, 202602, 202670, 202770, 202908?\nAnswer: 203090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1143*d + 3271. Calculate t(3).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15652*-0.4\nAnswer: -6260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 378 - 371.76. Let g = -6.3 + t. Which is the third smallest value? (a) g (b) 3\/2 (c) -1\/4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/959826 and -137\/24?\nAnswer: 3839304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1184 rounded to three decimal places?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(11) + 5 + -5*sqrt(33)\/sqrt(3).\nAnswer: -10*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131, 274, 415, 554, 691, 826, 959?\n\"Answer: -f**2 + 146*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4617264 + -1?\nAnswer: -4617265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2. Suppose 0*t - 40 = 4*c + 4*t, c - 3*t + 18 = 0. Let a be 0 - c\/(-4) - -1. Put l, a, 5 in increasing order.\nAnswer: a, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17363108 and 0.4.\nAnswer: -6945243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -5) + -1 + -17. Let t = 6 - 15. Let q = t - j. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.5 (c) 17953 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Let t(u) = -2*u**2 - f*u + u + 4 + 0*u. Let i(q) = -7*q**2 - 5*q + 16. Let z(d) = 6*i(d) - 22*t(d). Factor z(v).\nAnswer: 2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 2*a = 0. Suppose 0 = -4*q - 3*y + 20, a*q - 5*q = -5*y + 10. Suppose j - q = -j. Which is smaller: j or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 551 (b) -79 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0 + 29\/30*u**6 - 19\/12*u**4 + 18*u + 0*u**3 + 0*u**5 + 0*u**2. What is the third derivative of x(a) wrt a?\nAnswer: 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*k - 719*k - 2688*k + 164*k.\nAnswer: -4567*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.1 (c) -36 (d) 44.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 10*w**2 - 4*w + 40. Let y be d(10). Solve -4*v = j, 0*j - 3*j - v + 11 = y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) 3\/7 (c) -2\/215 (d) -0.2 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11977 and 6107916?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -1\/36*p**4 + 1\/126*p**7 - 4\/9*p**3 + 7\/60*p**5 + 1\/18*p**6 - 2\/3*p**2 - 13 + p. Find d, given that x(d) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - h = -4*h + 7254, 12110 = 5*b + h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-6))\/(-3*9\/(297\/2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2328516 is divided by 8085?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0*a**4 + 0 + 0*a + a**2 + 7\/6*a**3 - 1\/60*a**5. Give z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 106*c**2 + 2*c. What is the units digit of q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*z + 359 + 177, -k - 3*z + 138 = 0. Suppose i = -4*i + k. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17466*j**2 - 2227*j**2 - 5 + 6 - 1.\nAnswer: 15239*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - z - 146601, 4*v - z = -0*v - 117288. Let x = v + 8917. Let m be x - ((2 - -5) + -3)*-1. Round m to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249212 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 6 = l, l - 8792*n = -8795*n - 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -1, 0, -5, 6, 4.\nAnswer: -99, -5, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**3\/2 - 4*n - 609. Let x(i) = 0*i + 0*i - 24*i**2. Calculate a(x(k)).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {v: 3, z: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -102624819 and 0.4?\nAnswer: 102624819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (1 + -51))*(155\/(-45) + 4)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-9) - (-5 + -1). Suppose -2*i + f*b = -355, 2*i - 4*b = i + 185. Suppose -5*d = 4*y - i, 4*d + 0*y = y + 132. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166.54 - 175.48. Which is the closest to 7? (a) m (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, j: 4}. Give prob of picking 1 j and 2 p.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*l - 770562 = -1022300 - 2467782. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 647 = -w, 3*w - w - 477 = -3*a. Calculate the least common multiple of 322 and a.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2346894 - 2346894 - 84*z.\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f + 3*a = -129, 9 = f + 5*a. What is the highest common factor of 48 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312 - -31022010?\nAnswer: 31021143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-333)\/1184*((-1)\/(-4))\/((-195)\/(-260)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, j: 1, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 21 + 7 = 3*x, -x = 4*k - 90. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 - 112. Suppose 10*n + 570 - 3930 = 0. What is the least common multiple of n and h?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*w**6 - 117*w**5 + 5910*w**2 + 948*w**2 + 243*w**5 - 126*w**5 + 24*w**4 wrt w?\nAnswer: 1320*w**3 + 576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 15. Solve -3*i - 3*q = 1 - 4, -4*i + s = -3*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 + 2*k**2 - k. Let h be c(1). Let a = 19 + -14. Solve a = -5*x + 2*o, -x + h*x + 2*o + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.056 (b) 23\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -3)*(1 + (-45)\/42). What is the smallest value in 0.2, 2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/2 - 569*p**4\/2 + 2*p**3 + 1138*p**2 = 0.\nAnswer: -569, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -194*u**2 - 8*u - 506*u**2 + 154*u**2 + 10. Let v be r(7). Let f be (v\/(-3))\/(2\/15). What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17845 is divided by 282?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -20. Suppose b + w*b = 0. Suppose n = 3*k, b = 5*k + 2*n + 2*n - 17. Put -5, 0.1, k in descending order.\nAnswer: k, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8125 (base 10) in base 16?\nAnswer: 1fbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(25\/(-16)))\/(5190\/8650)*6\/488\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 2.49811. What is r rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, h: 4, w: 5}. What is prob of picking 1 y, 1 w, and 2 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 22 - (86 - 93).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -649*t + 648*t + 2. Let l(u) = -u**2 - 5*u - 2. Let f be l(-4). Suppose -y = -4*c - 16, 8 = -t*y - y - f*c. Solve -d = -y*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31828384 divided by 13174.\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 2 - -19) + 1. Let a be 1*(-2 - -2 - -2). Calculate the highest common factor of i and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = -2*m + 210. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 8 = -2, -9 = -2*b + 3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15201 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 819 + 70. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*m + 4761 + 2141, 5*m + 5532 = 4*n. What is the highest common divisor of 78 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - y**2 - 3*y - 6. Let d be g(4). Suppose 2*c = 5*f - 0*c + 36, 3*f = 4*c - d. Put f, 1\/3, 3 in ascending order.\nAnswer: f, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 - 2*p**3\/3 - 3*p**2\/2 + 3*p. Let g be n(5). Suppose -g - 59 = -d. What is the remainder when d is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 36 - 207*o - 144*o)*(2 + 1 + 2) in the form v*o + x and give v.\nAnswer: -1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 11*c + 5. Let f(a) = 5*a**2 + 18*a + 8. Let y(s) = -5*f(s) + 8*g(s). Suppose -4*h = 113 + 127. Let v = -61 - h. What is y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 11*b + b - b + b - 15 to the form w + j*b and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*q - p, 0 = -q + p + 2. Suppose 2*i - 3*i + q = 0. Let b be 0 - ((-2)\/2 + -2). Solve -b*v + v = -i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 16*b + 15 = -15*b, p - 2*b = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9*55.76.\nAnswer: -328.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*x + 1153*x = 570*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -36*n**2. Let m(t) = 5*t + 10*t + 9*t - 22*t. Calculate m(d(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253910*b*d**2*r - 3059*b*d*r + 3*b*r + 3*d wrt d.\nAnswer: 507820*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -359 in 0.4, 3, 72?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3.9. Let o = y - -4.2. What is o rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 18*f**3 + 12*f**2 + 32*f.\nAnswer: 2*f*(f - 8)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1152)\/(-27) + 2\/6.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2976, 6\/5, -2\/15.\nAnswer: -2976, -2\/15, 6\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**6\/24 + f**4\/24 + 3*f**2\/2 + 4*f. Let h(m) be the first derivative of b(m). What is the second derivative of h(r) wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394328681?\nAnswer: 394328681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 661450?\nAnswer: 1984350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 - 8*x - 1. Let n be s(6). Suppose 4*v = -19 + n. Sort -3, 5, v in decreasing order.\nAnswer: 5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**5\/30 - 2*y**4\/3 - 31*y**3\/6 - 115*y**2\/6 - 100*y\/3 - 582. Find t such that i(t) = 0.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from qkknsnqjnnkkknnksq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 - (9 - (9 - -10)). Suppose -a*o - 196 + 3769 = 0. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 8299.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83901? (a) -0.094 (b) 3\/2 (c) 0.4 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reererr. What is prob of sequence rer?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*-3*sqrt(84)\/sqrt(2))\/((sqrt(6) + sqrt(216))*-2 - 1*sqrt(24)).\nAnswer: 9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21106798?\nAnswer: 2, 37, 285227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403196 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 3*r**2 + r**2)*(-5 + 3 + 16)*(5*r + 9*r - 476 + 491).\nAnswer: -392*r**3 - 420*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -67 + 1. Let p be 15\/(-10)*8\/(-6). What is the first derivative of 0*x - b - p*x + 20 wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -13*p - 69. What is h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4\/9 + 28*n**3\/9 + 56*n**2\/9 + 32*n\/9 = 0 for n.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 646*g + 311*g + 325*g + 10.\nAnswer: -10*g + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**7\/840 + l**6\/120 - l**5\/24 - l**4\/8 - 4*l**3\/3 + 12*l**2. Let i(m) be the first derivative of y(m). Calculate i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/(-12)*4\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.2 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - u**2 - 33*u**4 - 4*u**2 + 1 - 3471*u + 3458*u to the form v*u**2 + k*u + j*u**3 + p + l*u**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -88.86026 and 449.\nAnswer: 360.13974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i**3 + 3*i**2 - i - 1. Let w be l(1). Suppose w*g + 8*g - 3705 = 0. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3484331, 6 in decreasing order.\nAnswer: 3484331, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 716*o - 5682. Determine j(8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d)**(-2\/21)\/(d\/d**(-13\/5)*d*d**(-5\/3)) assuming d is positive.\nAnswer: d**(-248\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2363407005 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 25, -3*u + 5*b = 25 + 24. What is the hundreds digit of ((-12)\/u)\/((-66)\/(-8360))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/24 and 5838\/(-224)*(-4)\/(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p - 378 = -11*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-9 + (-3 - (9 + -10))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17+0.3314\nAnswer: 17.3314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 2552?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 35. Let v(d) = -15*d**3 + 10*d**2 - 29*d - 5. Let b(a) = -7*a**3 + 5*a**2 - 14*a - 2. Let x(q) = k*b(q) - 6*v(q). Suppose x(z) = 0. What is z?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 6*h**2 - 11*h + 12. Let w be m(9). Let p = w + 2314\/7. Which is the biggest value? (a) p (b) 5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(539) + -5)**2 + sqrt(539) + -1 + 5*sqrt(539).\nAnswer: -56*sqrt(11) + 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 21 = -4*y - 2*j, 5*y = 5*j + 35. Suppose 2*l + l = -y*c + 11, -c - l = -1. Let a(g) = -3*g**2 - 3*g. Let k be a(c). Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30854\/6)\/((-32)\/(-96)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -52 + 94 - 2*y**2 - 43 + 3*y**2. Let u(x) = 2*x. What is u(b(r))?\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5328 - -498?\nAnswer: -4b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170850184 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-30)\/(-55))\/((-29)\/319)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 2. Let z = -9 + 13. Suppose -j + z = 6. Let c(y) = y - 1. Let b(a) = j*c(a) + o(a). Let t(q) = 3*q. What is t(b(x))?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l - 2*b - 7 = 0, -5*b = l - 8. Differentiate -4*w**l - 1 + 15*w**2 - 15*w**2 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 40*x**2 - 43*x + 31. Calculate s(-41).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/5, 0.83, -3, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -6*q - 126. Suppose 65*p = 67*p - q. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b - 2*b)*(-2*b + 0*b + 5*b) - 3*b**2 + 4*b - 4*b + (2 - 1 - 3)*(-b**2 + 5*b - 5*b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1\/10, 72, -4\/149?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101101001110?\nAnswer: -1101101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/60 + 3*l**4\/8 - l**3\/3 - 15*l**2. Give x(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18275151 or 146201203\/8?\nAnswer: 18275151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 9, -5, 2\/2323, 0, 0.3 in ascending order.\nAnswer: -5, -3\/7, 0, 2\/2323, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 35 = -a, -2*s - 2*a + 3*a + 25 = 0. Suppose -6 = k - s. Calculate the greatest common factor of k and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163\/774 + -1\/86. Let o = -347\/252 + 2491\/1260. Let h = -2 + 1. Put 2\/7, q, h, o in increasing order.\nAnswer: h, q, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 367*k**2 - 1430 wrt k?\nAnswer: 734*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 4, c - 8 = 4*n - 0*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 4*c - 2. Let j(x) = x - 1. Let n(p) = 4*j(p) - o(p). Does 15 divide n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y - y - 2*y + (5 - 3 + 5)*(2*y + 0 + 0).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/4 + 89 + -3 + 4. Suppose -92*q + t*q = 723. List the prime factors of q.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/((-28)\/(-42))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382432919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 891286 (base 11) in base 8?\nAnswer: 5331024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1101573*b**3*r**2 + 4*b**3*r + 170*b**2*r**2 - 307*b**2*r - 44*b**2 - 2*b + 2*r**2 - r wrt b.\nAnswer: -6609438*r**2 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 18. Calculate o(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 9, c: 4, v: 4}. What is prob of sequence cocc?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1193.293 meters to millimeters.\nAnswer: 1193293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432582 is divided by 6269.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 188 and 5\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*v - v = 1937, -1967 = -2*l - 3*v. Calculate the remainder when l is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271.6 + -271.6000002878. What is u rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17955423 to the power of 1\/2, to the nearest integer?\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**6\/24 - u**5\/6 + u**4\/6 - u**3\/3 + 19*u**2. Suppose -28 = -3*h + 14. Calculate the remainder when h is divided by o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**3 - 169*j**2 - 28*j + 7. Calculate v(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12773641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -68.9 (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(4) + 6*sqrt(2)*-1 - ((sqrt(242) - (1 + sqrt(242) + -4 + sqrt(242)))**2 + sqrt(242)))*1.\nAnswer: -251 + 53*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20148 times 2?\nAnswer: -40296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2*t + 135737*b**2 + 514*b*t - 11*t wrt t?\nAnswer: -2*b**2 + 514*b - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-100) + (-15)\/4. Let n = w - -60. Calculate the remainder when n is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*14\/(-112)*5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/30 + n**4\/24 - 7*n**3\/6 + 9*n**2. Let x be u(3). Let h be 2\/(-4) - (x\/(-4) + 0). Let b(q) = -2*q + 4. Calculate b(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132, -133, -134, -135, -136, -137?\n\"Answer: -o - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*z + 2504 = -1024. Let h(q) = 3*q**2 + q + 5. Let t be h(-4). Let p = z + t. What is the remainder when 81 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 423728 and 359572?\nAnswer: 102118448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-15)\/5)\/((-4)\/196*14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i**5 + 27836*i**4 + 2097816*i**3 + 8512144*i**2 + 2261440*i = 0.\nAnswer: -1910, -74, -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (-72)\/(-15)*(-5)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*b - 597*b - 81391*b**2 + 303*b.\nAnswer: -81391*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nns when three letters picked without replacement from {s: 2, n: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 56968*d**3 - 14 - 56967*d**3 + 27*d - 25*d to the form u*d + s*d**3 + f*d**2 + c and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 245, 2, 334, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from {c: 2, f: 4, u: 5, h: 4, j: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 + -84. What is the remainder when 37 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 - 6 = 0. Suppose -4*d - 2*i + 40 = 0, 0*d + 2*d - s*i - 30 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 3*n - 16, 0 = -5*c - 5*n + 20. List the prime factors of 0 + 0 + c + 49 + 240.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000808 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/17 and 8\/((-32)\/12)*(-26)\/14?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80299 - -141426. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*i**3 - 67 - i + 67 + (4*i + 0*i - 5*i)*(-i**2 + i**2 + 2*i**2) + 0*i**3 + 7*i**3 - 3*i**3.\nAnswer: -16*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*u = 50 - 104, 3*u - 6 = -4*s. What is the lowest common multiple of 848 and s?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 3*d - 1\/360*d**6 + 0*d**2 - 1\/24*d**5 + 7\/6*d**3 - 1\/6*d**4 + 0. Let p(i) be the second derivative of q(i). What is p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155180964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3\/11 (b) -0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 121?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*u + 5*c, u + 13 = -33*c + 38*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 1, b: 4, n: 1}. Give prob of sequence bbuu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 144817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 14. Let f = 65 + -45. Calculate the least common multiple of x(0) and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 52791.79t?\nAnswer: 52791790000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22478 is divided by 381.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2342978, 2342980, 2342982, 2342984, 2342986, 2342988?\nAnswer: 2342990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*q + 16*q - 9*q)*(-1 + 4 - 1) - 1 - 2*q + 1 - 11*q + 3*q - 10*q + 4 - 4 + 2*q to the form d*q + o and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -370, 4, -4930 in increasing order.\nAnswer: -4930, -370, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*f - 132. Let i(w) = w**3 + 7*w**2 + 37*w + 154. What is the remainder when f is divided by i(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227*t*x**3 + 34*t*x**2 - 208*t*x + t + 135*x**6 + x**2 wrt x?\nAnswer: 1362*t + 16200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115038 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106106 is divided by 480.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-1)\/(-2)). Suppose 4*o + 2*c - 8 = 0, 16 = 2*o - 0*o + 4*c. Does o = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, 5, -0.3 in increasing order.\nAnswer: -4, -0.3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 64404861*-4\nAnswer: -257619444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -205, -175, -145, -115, -85?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 764.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -93*p - 1947. Determine d(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10220 by -730.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591808 divided by 16?\nAnswer: 224488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s. Let k(t) = 30*t. Let r(u) = -18*u - 168. Let d be r(-8). Give d*h(y) - 5*k(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -15\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(1 - 1 + a) + (-2*a + 6*a - a)*(-19 - 6 + 9) to n*a + c and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -3*s**5\/5 - 4*s**4\/3 + 10*s**3\/3 + 4*s**2 - 2*s. Factor h(j).\nAnswer: -4*(j - 1)*(j + 2)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 9 = -3*f, -f - 188*q = -186*q for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k + 5*p + 29, 2*p = 3*k + 2. Let s be 6\/(k\/2*-1). Find the second derivative of 2*t + t**2 - t - s*t**2 wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 9*a. Let n be x(-8). Suppose -n = m + 3*m + s, 5*m - 2*s = -10. Let c = 12 + m. Solve -q - c = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -80*x**2 + 55. Let p(z) = 3*z**2 - 2. Let l(n) = 2*k(n) + 55*p(n). Let b(c) be the first derivative of -c**2\/2 + 3. Calculate l(b(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 293*v - 170. Let w(m) = -48*m - 1. What is -u(k) - 6*w(k)?\nAnswer: -5*k + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 - 279. Solve 0 = 2*v + s - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 56. Let u = 196 + -103. Calculate the remainder when u is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013537794 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y. Let q be (-1)\/(3\/(-48)*-4). Let k be g(q). Let a = -12 - k. What is the third smallest value in a, 4, 5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*x + 43*x + 12 = -54 + 14, -5*f = 4*x + 114 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51606.\nAnswer: 2, 3, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 116. Determine s, given that -5 - 2*s**2 + 22*s**2 - 3 + 62*s - 10*s + o = 0.\nAnswer: -8\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363515402.\nAnswer: 2, 59, 127, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2171*j**3*v**3 + 17*j**3*v*y - 2*j**2*v*y + 2*j**2 - j*v**3*y + 18*j*v**3 + j*v**2 - 28*v**3 wrt j.\nAnswer: -13026*v**3 + 102*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y + 2. Let n be z(-4). Suppose 0 = -4*r + 4*x, -2*x = -0*r + 4*r - n. Solve -5*k - 3*h - 10 = -r, 4*k - 12 = 4*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 173 in 2, 437, 8, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*s = -0*s + 17, 3*i - 2*s = 19. Solve 0*z + 3*z = i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65823388?\nAnswer: 2, 17, 29, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20256 and 120386472?\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-9)\/(-7))\/(-9))\/((-2)\/(-2)))\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101477543 + 26.3616.\nAnswer: 101477569.3616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/17 + 1154352*x\/17 + 166566067488\/17 = 0. Calculate x.\nAnswer: -288588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34993*z - 78879 wrt z.\nAnswer: -34993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 160 (c) -9 (d) 0 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 23. Calculate the remainder when f(10) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 1040*g\/7 - 1042\/7.\nAnswer: 2*(g - 521)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -266, -245, -216?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/63 + 446\/315. Suppose -2*d - 10 = 5*x, 6*d + 8 = d - 4*x. Is o equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86635078 greater than 86635080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*j - 30, -4*x + 0*j = 2*j + 38. Let l = 8 + x. Solve l = -4*b + 5*n - 3*n + 12, 0 = -5*b + n + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2) - (-15)\/(0 + 3). Suppose -4*g + 2*g + 2517 = m*q, -2*g - q = -2523. Is g a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70885830 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 - 5*x - 31. Let b(h) = 9*h**2 + 12*h + 63. Let t(r) = -4*b(r) - 7*z(r). Let m be t(-5). Solve -3*i + 0*u = 3*u, -m*i = -2*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 14*p**2 + 28557*p - 142802. Determine g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.4 + -7.4. Which is the closest to f? (a) 2 (b) 2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*a + 2269, 5*a - 12*f = -15*f + 5657. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 98*u + 3. Let c(t) = 196*t + 5. Let j(q) = 5*a(q) - 3*c(q). Let d(m) be the first derivative of m**3\/3 + 56373. Determine j(d(l)).\nAnswer: -98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5085\/1054 or -4?\nAnswer: -5085\/1054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - 3*o**4 + o**4)*(-1 - 2 + 1) + (o**3 - o**3 - 26*o**3)*(o - 11*o - 10*o).\nAnswer: 522*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1763210 and -55.\nAnswer: 1763155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.91 + -1.87. Let l = -923\/2 + 462. Which is the closest to 1? (a) h (b) -3\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 minus -2044?\nAnswer: 2045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.046101 - -0.153899. Let s = 0.1 + 0.9. What is the closest to b in 2, 1\/3, 4, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**3 + 12*a - 16\/3 + 2\/3*a**4 - 22\/3*a**2.\nAnswer: 2*(a - 2)*(a - 1)**2*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1114 (base 5) to base 8\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.4 (c) -409 (d) -0.174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**4 - 2*s**3 - 2*s**2 - 2*s - 10. Let n(r) = r**4 + r**3 + r. Let a(j) = 2*n(j) + w(j). Find the third derivative of a(d) wrt d.\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:50 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1 (c) -109 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 55*a**3 + 125*a**2 + 65*a.\nAnswer: -5*a*(a - 13)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152633.88 hours to weeks.\nAnswer: 908.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 73*y - 1272. Determine s(18).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*g = -0*g + 15, -3*b = 2*g - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18671.\nAnswer: 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14 (b) -0.2 (c) 443\/4 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 141 - 1 = 0. Let a = q - 21. What is the highest common factor of 49 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9 and 79\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 + 212. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 33*n + 2. Let g be b(1). Suppose -2*u = -3*l + 79, 4*u = l - u - g. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-226)\/(-8136)*(-1002)\/680 and -6\/25.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 1823?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 - -107. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*5*-1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 25\/3 (b) 0 (c) -2 (d) -2\/5 (e) 2114\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11903\/3366 - 14\/187. Find the common denominator of d and -11\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 4817*w + 135. Determine v(0).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -675088757 - -675088720.99999981. Let o = 36 + z. Round o to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**2\/7 - 15926*l\/7 - 5334144\/7.\nAnswer: -2*(l + 479)*(5*l + 5568)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 - 16*w**2 - 340*w - 1006. Determine r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 8*c + 9. Suppose 1 = u - 17. Calculate the remainder when d(-6) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**5 + j**5 - j**5 + (5 - 3 - 4)*(-3*j**3 + 3*j**3 + j**5) - 3 + 2*j**5 + 3.\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.8 - 26.2. Let c = -30.3 - a. Sort c, -4, -0.1, 2 in increasing order.\nAnswer: -4, c, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2051888\nAnswer: 1\/2051888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(189\/(-1260)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6362*w - 5595*w + 10738 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = -0. Let r = -38 + 54. Suppose -a = -q + r, s = -3*a - 6. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 7, d: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:43 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -40.4. What is the nearest to 3 in -2\/15, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2433, -4826, -7223, -9624?\n\"Answer: -2*l**2 - 2387*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1211575, -2423158, -3634741, -4846324, -6057907?\n\"Answer: -1211583*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*k + 10, 3*k + 18 = 6*k - 3*b. Are 12 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 12 = 2*p - 4*r, 4*p + 3*r + 167 = 0. Let v be p\/36 - (-2)\/2. Put -0.2, v, -5 in decreasing order.\nAnswer: -0.2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.2 + 15. Let h = -6 - -6.3. Let f be 1\/4 + (-21)\/36. Which is the nearest to f? (a) h (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(18) + -1 - sqrt(3456)\/sqrt(3))**2.\nAnswer: -84*sqrt(2) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b63 - 3b?\nAnswer: -b9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/7 (c) 0.5 (d) 23\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 33 = 109. Suppose 2*b = d + 9. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 9*t**2 + t - 3. Let w = 3 - -6. Let p be m(w). Let l(y) = -y**2 + 6*y + 12. Is 12 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241\/77 - 36\/11. Which is the fourth biggest value? (a) -4 (b) n (c) -19 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*y + 65. Let x = 230145448 - 82145448. Suppose y*d - 2*d - x = 0. What is d rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + g - 3 = 10, -54 = -2*t + 5*g. Suppose j - 90 = -t*j. Solve 0*f + j*q - 26 = 4*f, 0 = -5*q + 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 6 = -26. Suppose 0 = h + 1, 29 = i*y - 2*h - 19. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 + 18*t + 38. Let r be x(-7). What is the common denominator of 8\/27 and 3666\/2376 + r\/33 + 1?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyuufuyuvyuyfuyufuu. Give prob of picking 1 u and 1 v.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -3*t - 1\/2*t**2 + 0 + 1\/2*t**5 - 1\/6*t**3 + 1\/12*t**4. Calculate i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -13) + ((-14 - -16) + 14 - 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -21*w**2. Let a(v) = -14*v**2 - 10*v + 5. Let s(n) = 99*n**2 + 72*n - 36. Let d(m) = -36*a(m) - 5*s(m). Calculate d(q(r)).\nAnswer: 3969*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1300) + -3.\nAnswer: -3 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20170524 divided by 458421\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*n = -275*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let j(v) be the second derivative of 2*v**3\/3 + v**2\/2 - 78*v. Give p(j(t)).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187810262.\nAnswer: 2, 547, 171673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -1.9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 231468229, 231468230, 231468231, 231468232, 231468233, 231468234?\n\"Answer: h + 231468228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 - -1710?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3402) + (sqrt(3402) - 2*(sqrt(3402)*1 + sqrt(3402)))))\/(1*sqrt(96)*-6*3).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 31. Suppose 4 = 6*g - l. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 55 = 3*o, o = -0*o - 2*w + 20. Suppose o*y = y + 117. Differentiate -17 + 6 + y + 12*u**2 + 10 with respect to u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let z(n) = 48*n**2 + 20*n - 20. Let r(u) = -7*u**2 - 3*u + 3. Let s(j) = 20*r(j) + 3*z(j). What is h(s(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15348.88um in millimeters?\nAnswer: 15.34888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61\/18 - 26\/9. Which is the nearest to -12? (a) -0.5 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 491, 3, 887, 4 in ascending order.\nAnswer: 3, 4, 491, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14134, -3, -6\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1192269 + -4.91122773. Let p = n - 0.208. Round p to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 + 4*v - 9. Let x be b(2). Solve -x = -0*a + 9*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*p**3*z**3 + p**3*z - 2*p**2*z**3 + 5*p*z**3 + 5*p wrt p?\nAnswer: 102*p*z**3 + 6*p*z - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151.7 - 148. Let y = -5.7 + h. Which is the third smallest value? (a) -0.5 (b) 5\/3 (c) 0.4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -261 (b) -1\/2 (c) 0.2 (d) 4\/5 (e) -188 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 13*s**2 - 13*s + 16. Let f be m(12). Solve -3*h - 2*a + 2 = 0, -h - a - 3 = -f*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 2*m - 32. What is the least common multiple of p(-8) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*k - 26*k - 34*k + 151*k - 38*k + k - 33*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17184 and 77.\nAnswer: 1323168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 513444.9 decades in years?\nAnswer: 5134449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b3 (base 16) to base 10\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 1. Let f(q) = q. Suppose 2*x + 4 = -0*x. What is x*n(k) - 6*f(k)?\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 309758589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 49675?\nAnswer: 49675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - 1 - 1 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6616, 6636, 6680, 6760, 6888, 7076, 7336?\nAnswer: 7680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/306 (c) -0.1 (d) 0.2 (e) -2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.55 + -9.55. Let v = 3\/9148 + 873625\/27444. Let w = v - 32. Which is the nearest to -2\/3? (a) -5 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/708 and 127\/12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2072678853 and 3279?\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 7 + 2*q**2 + 3 - 1 + 4. Let x(i) = -10*i**2 + 5*i - 40. Let t(f) = 6*w(f) + x(f). Find the first derivative of t(g) wrt g.\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - b. Let k(n) = -8*n**2 - 6*n. Let x(t) = -k(t) + 6*m(t). Let p(h) = 7*h - 5*h - 9*h**2 - 2*h. Calculate x(p(c)).\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 486 = -3*r, -1242 = -5*p - 2*r + 1149. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 5) in base 11?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 154 = 2*p. Suppose 2*m + k = 9, -3*m + 2*k + 17 = -p. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*n - 1045*n - 113*n to the form r*n + z and give r.\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:24 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -204*q**2 - 1386*q - 14. Determine f(-7).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5068 + -5073. Put 47, i, 4, 1 in descending order.\nAnswer: 47, 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 840470377 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*y + 4, 2*y - 11 = 3*d - 0. Let p = d + 16. Suppose 36 + p = 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m - 8*m + 2488 - 2488.\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21a (base 14) to base 2\nAnswer: -110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2647895+0.5\nAnswer: -2647894.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 41746 (base 12) to base 16\nAnswer: 14ee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyyl when four letters picked without replacement from {y: 3, e: 1, l: 4, c: 1, r: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 21*d - 133. Let r(i) = -2*i + 12. Let v(l) = 5*b(l) + 56*r(l). Let m(k) = 3*k - 3. Determine 5*m(c) + 2*v(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41, 9, -0.1, -19\/153?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12655232167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {n: 1, q: 5, l: 3}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-60)*(-3)\/1*1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 12*p**2 - 11*p - 11. Let t(g) be the first derivative of -1\/2*g**2 + 1\/3*g**3 - g - 26. What is -44*t(m) + 4*y(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -10, -0.4, 0 in decreasing order.\nAnswer: 1\/6, 0, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*w - 2. Let p be (-7)\/w - (-5)\/(-15). Suppose 6*f - 88 = p*f. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15116*v + 606*v**3 + 15116*v.\nAnswer: 606*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3 - 6*h + 4 - 3 + 3*h. Let r(o) be the third derivative of -o**6\/40 + o**5\/60 + o**4\/24 - o**3\/6 + 4*o**2. Let y be r(1). Determine d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 765, -2\/11, -2\/9, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l)**(-1\/8))**(23\/3)\/((l**2\/(l\/l**(-3\/7)))\/((l*l*l**(-6)\/l)\/l**(-3\/2))) assuming l is positive.\nAnswer: l**(-67\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v - 13. Let w be o(-5). Is -64 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91\/14)\/(-13)*(-1)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -5, -0.06, 0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(168\/560)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let w(q) = 3 + 0 + 5*q**2 - 2 - q**3 - d*q. Give w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 643167 (base 8) to base 16\nAnswer: 34677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 6.4. Let d = -2 - -2. Let o = d + n. What is the closest to 0.1 in -2, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21000200 (base 4) to base 8.\nAnswer: -110040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/(-312) - 9\/(-24). Let z = -2 + 1.9. What is the smallest value in z, b, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22025, -22023, -22021, -22019?\nAnswer: -22017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 divided by 2?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 595 - 589. Suppose -26 - 2 = -2*z. Let c = z + -10. Calculate the remainder when u is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*n - 2, -n + 16 = q + 3*n. Solve 7*g + q*i = 5*g - 4, 5*g = -3*i + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14304 - 7188 - 7111 + 28*o. Let j(n) = n**2. Calculate m(j(i)).\nAnswer: 28*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (403*o**2 + 1413*o**2 - 154*o**2 + 1084*o**2)*(2 - 3 + 0).\nAnswer: -2746*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2 + (-1)\/1. Suppose 6*j - 2*j - 48 = c. Suppose 3*s = -2*s + b + j, 3*s = -5*b + 24. What is the highest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {t: 1, g: 3, r: 4, y: 11}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = h + 2, -3*h = -i + 15. Suppose 5*z - 3*z - 32 = i. What is the greatest common factor of z and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 31 = 5*q, -5*q + 13 + 6 = -2*u. Suppose 2*h = 4*c + 16, 2*c = 3*h - 31 + u. What is the highest common divisor of h and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1467 and 815.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237833322 to the power of 1\/3, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 233993231 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l + 12. Suppose -3*d + l = -0. Suppose -1 = -3*f - 5*t, 5*f + 2*t = 2*f + d. Calculate the lowest common multiple of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 399295*x**5 - 2313*x**2 - 27*x + 1?\nAnswer: 23957700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5*(-4)\/15 - (-5674)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 53*t**2 - 3*t + 104. Let z be c(53). Which is smaller: z or 45?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 18 + 10 - 3*h in the form d + c*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3120.23 to the nearest ten.\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 6*x + 5*x)*(192 + 14 + 59) - 5*x + 3*x + 3*x.\nAnswer: -529*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/23)*f**13\/f)\/(f**(-2\/7))**(-1\/4))**(-1\/6) assuming f is positive.\nAnswer: f**(-1271\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281\/5 - 56. Let a be (3 - 2)\/(731\/86). Sort -28, n, a in descending order.\nAnswer: n, a, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -97\/4. Let l = 75 + -42. Let q = l + -38. Which is the second smallest value? (a) z (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -167*j**7\/21 + j**3\/3 + 95*j**2\/2 + 96*j - 1. What is the second derivative of k(x) wrt x?\nAnswer: -6680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -130, 1997 in descending order.\nAnswer: 1997, 4, -1, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from yyfmlnkf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 1. Let w be ((-26)\/8)\/((-3)\/(-4) + -1). Does 2 divide c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (12 - (-7 + 29))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-22)\/165*-3*(-1620)\/120\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l - 4. Suppose -3 = 2*y - 9. Suppose -5*r + y*s = 27, 2*s - 1 = -r + s. What is the remainder when 32 is divided by o(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -18, -2, 0 in ascending order.\nAnswer: -18, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 102456145 (base 7) to base 4\nAnswer: 113030233000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:56 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 7*p**2 - 5*p + 13. What is g(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4877 - -4874. Which is the smallest value? (a) -2\/7 (b) 36 (c) 1\/4 (d) -5 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + (sqrt(252) + -2)*-4 - (5 + sqrt(252) + 2 + -2 + 1 + sqrt(252)))**2.\nAnswer: -72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Let d(y) be the second derivative of -125*y**3\/6 - 58*y. Determine i(d(o)).\nAnswer: 15625*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*s + 1566 = 0, s = 2*j + 4*s - 1049. Let g = j + -189. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 1342. Let v(h) be the third derivative of h**5\/60 + 2148*h**2. Give v(a(l)).\nAnswer: 4*l**4 + 5368*l**2 + 1800964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (644*u**2 - 644*u**2 - 41*u**3)*(1 + 5*u + u - 3*u) to the form j*u**3 + x*u**2 + s*u + v + k*u**4 and give j.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1942\/25 - 389\/5. What is the nearest to k in 0.6, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 + 5*d + 8. Give h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7007, -7051, -7095?\nAnswer: -7139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*o + 3834, 5*d + 1126 = 4*o + 4968. Calculate the greatest common factor of 306 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121064 - 121064.049659. Round l to 4 decimal places.\nAnswer: -0.0497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (6 - 2 - 16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 2*r**6\/5 + 21*r**2\/2 + 6*r. What is the first derivative of u(v) wrt v?\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h**3 + 16*h**2 - 64*h + 8. Let z(g) = 9*g**3 + 11*g**2 - 42*g + 6. Determine 5*d(r) - 7*z(r).\nAnswer: 2*r**3 + 3*r**2 - 26*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (15\/(-10))\/((-3)\/30) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9158137899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*k + 4830 = -186*k - 222*k + 471*k for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p + 4 - 4. What is the remainder when 1\/(-1) + 57 + (-8 - -4) is divided by x(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 2*q**2 - 73*q + 201. What is w(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143580.42 microseconds to hours.\nAnswer: 0.00003988345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = 50*n - 46*n, 3*h + 4 = 4*n. Put -78, h, -5, -4 in descending order.\nAnswer: h, -4, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 2*h + 0*h)*(4 + 1 - 21 - 99910*h + 10 + 6) as p + t*h**2 + w*h and give t.\nAnswer: -199820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 161*i - 158*i - 2*h, 4 = -i + 5*h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 11. Let m = h - 8. Solve -m*r - 2*r = 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(-5*sqrt(152) - sqrt(152)) - sqrt(152))*-4)\/(sqrt(16)\/(sqrt(4)\/(sqrt(4)\/sqrt(2)))))**2.\nAnswer: 190000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -381*t + 193*t + 187*t - 80 + (4 - 2 - 3)*(-4 + 0 + 3)*(-2 + 2 + 6*t) to x + d*t and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41923, 167795, 377605, 671353, 1049039, 1510663?\n\"Answer: 41969*y**2 - 35*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*q - 58 = -51, 5 = -4*x - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -294, -403, -334, -93, 314, 881?\n\"Answer: -t**3 + 95*t**2 - 387*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 4393.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**8\/1680 + 3*h**7\/175 + 17*h**6\/600 - 881*h**2. Factor l(i).\nAnswer: i**3*(i + 1)*(i + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*t**3 + 65*t**3 - 218*t**3 + 80*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056 and 333.96.\nAnswer: -18.70176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(22)\/sqrt(2)*-4) + (0 + (1 + sqrt(3))**2)*3.\nAnswer: 23*sqrt(3)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003301 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.006 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 165 and -4758083896.\nAnswer: -4758083731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165689199 to the power of 1\/3, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6803647?\nAnswer: 1117, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 2257.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(2\/7)\/(m**0*m*m**2*m) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.336 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001450577512 to 5 dps.\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*v + 53*v + 29*v + 54*v + 40*v + 54*v + 48*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c - 9381 + 8653 = 0. Let s(n) = 41*n + 1153. What is s(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.60893 and 344026.4?\nAnswer: 344025.79107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 8*u**2 + 10*u - 8. Calculate c(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -2505?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-3\/7)*g))**23*(g\/((g\/(g**(-28)*g))\/g))**7 assuming g is positive.\nAnswer: g**(-1366\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3109051 or -3109052?\nAnswer: -3109052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (1 - -3) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2258112 by 3.\nAnswer: 752704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (7 + -7 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -637*f - 754*f + 1384*f. Let p(w) = 34*w - 4. Let v(l) = 35*l - 3. Let t(o) = 3*p(o) - 4*v(o). Give t(s(a)).\nAnswer: 266*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 13) in base 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51795465, 51795467, 51795469?\nAnswer: 51795471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -98, -244, -444, -692, -982, -1308?\n\"Answer: w**3 - 36*w**2 + 15*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 15*s**3 + 3*s**2 - 5*s**2 + 13*s**3 + 6 as t*s + f*s**2 + w + m*s**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(705*n - 1356*n + 715*n + 3)*(4*n**2 + 0*n + 0*n).\nAnswer: -512*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 3*m. Let w be d(-3). Suppose w = 3*g + t - 14, t - 2*t = 2*g - 9. Let l(q) = 5*q - 3. Calculate the remainder when l(g) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -792*m - 1098. Let x(o) = -158*o - 220. Let g(a) = 3*b(a) - 14*x(a). Is 9 a factor of g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = 0. Let g = -5 - y. Suppose 0 = -w + 5, -2*t + 36 = 2*w + 12. Sort g, -3, t in increasing order.\nAnswer: g, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 412)*117\/6. Let w be (k - -3)*(-2)\/6. Suppose p = 2*o + 660, 0 = -4*p - 6*o + 3*o + w. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:45 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -714*p - 1003. Is 59 a factor of i(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (4 + -5)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 3 - (-9)\/9 - (1 - 75).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/120 - z**5\/15 + z**4\/6 - 2*z**2. Find f, given that v(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 16*z + 59. Let a be o(10). Put a, 114, -3 in descending order.\nAnswer: 114, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2969 (base 16) to base 11\nAnswer: 7a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 4. Let y(l) = l**2 - 17*l - 20. Let j be y(18). What is z(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*k = 33, 3*z + 7*k + 77 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**5 + 5403*x**4 + 158215*x**3 - 1274867*x**2 + 796372*x - 129732 = 0. What is x?\nAnswer: -569, -38, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 10:55 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -359.7 - -355.7. What is the nearest to -2 in -70, 5, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06230708 and -0.4?\nAnswer: 0.46230708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36282, 291301, 983464, 2331333, 4553470?\n\"Answer: 36427*m**3 + 10*m**2 - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.1 + 14.17. What is the biggest value in c, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/2)\/136)\/(((-18)\/(-24))\/1)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185773*z**4 - 20*z**3 - 7*z**2 + 2*z + 75778?\nAnswer: 4458552*z - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -2*q, 0*q = 4*d - 3*q + 1. Differentiate 3 - 7*m**2 + 3*m**d + 14*m**2 + 0*m**2 with respect to m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v. Let t(x) = 7*x + 1. Calculate s(t(a)).\nAnswer: 28*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqlc when four letters picked without replacement from {q: 3, c: 2, l: 6, x: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 3*g + 2. Let l be b(3). Let i be 5*l + (-6 - -4). Suppose -2*h = -i - 12. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204879\/1031 at most as big as 198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14704 + -14704. Let j = 7 - 10. Let o be 6*(1 + (-1)\/j). Which is the third smallest value? (a) -1\/4 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40088 divided by 434\nAnswer: -20044\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126265\/66 - -1913. Find the common denominator of d and 75\/352.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8823 + 8781.97. Let h = w - -26.7. What is h rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6525*s - 12566 = 7013*s + 25722 - 8520 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8463957 milligrams?\nAnswer: 0.0000008463957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = u - 7, -3*u + 69 = -4*x + 56. Let a(w) = -119*w**2 + 2*w. Determine a(x).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -33. Suppose 4*y - 14 = 2*a, -2*y = -0*y + 3*a - 19. Suppose -y*g - 817 = 5*h - 272, s*h = -3*g - 553. What is h rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 273.\nAnswer: -273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1032\/7*s + 3\/7*s**2 + 88752\/7.\nAnswer: 3*(s - 172)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 19712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.888um in millimeters?\nAnswer: 0.301888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 131 - 112 = -5*g, 5*t + 2*g - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1181432*d**2 + 313947*d.\nAnswer: 2362864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -289*r**3 - 2*r**2 - 2*r - 4. Let d(v) = 5781*v**3 + 41*v**2 + 41*v + 82. Calculate 6*d(x) + 123*n(x).\nAnswer: -861*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 2:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 557518 and 27196.\nAnswer: 1115036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 12. What is the remainder when t is divided by (3*4\/15)\/(2\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13 + 25 - 14 - 14 + 16 + 2*u**2. Let j(r) = 5775*r**2 + 99*r + 99. Let i(k) = 231*k**2 + 4*k + 4. Let m(c) = -99*i(c) + 4*j(c). Determine z(m(b)).\nAnswer: 106722*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-44)*s)**50\/(s*(s\/s**(6\/19))\/s)**(-10\/3) assuming s is positive.\nAnswer: s**(-119570\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139\/180 - 1\/45. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - ((-1 - (-7 - -9 - -1)) + (8 - -3))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 15*t - 14. Suppose x - 22 = -3*s - s, 2*x - 3*s - 55 = 0. What is the remainder when d(27) is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 21. Suppose 240*c - 1024 = -16*c. Solve s - 14 = 2*g - c, -y = -4*s + 5*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -119, -179, -237, -293, -347, -399?\n\"Answer: k**2 - 65*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 335761457 and -2.\nAnswer: -671522914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1895 is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2564.954mg?\nAnswer: 2564954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 4*o + 30. Let n be 6\/o + (-9)\/(-21). Let t(f) = -3*f**2 + 8*f - 5. Let d be t(2). Which is the nearest to 0? (a) n (b) d (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -561, -5 in decreasing order.\nAnswer: 1, -5, -7, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyuyumuummuyyyym. What is prob of picking 4 u?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*w**4 + 13*w**2 - 34*w**4 + 8*w**2 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g - 6. Let p(k) = -k**2 - 5. Let n(t) = 2*l(t) - 3*p(t). What is the remainder when 9 - 9 - (-20 + -1) is divided by n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) 1192 (c) -2 (d) 0.5 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 + -224361?\nAnswer: -224262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12d5db (base 15) in base 14?\nAnswer: 198183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -334, 8, -142.\nAnswer: -334, -142, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290793*b*q**2*y**3 + b*q*y**3 - 81*b*q - 14*q - y**3 wrt q?\nAnswer: -581586*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:31 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + y = -s, -5 = -y. Suppose -o = 2*u - 8, -11*o + 7*o + s*u + 19 = 0. Solve o + 6 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/9)\/o)\/o)\/(o\/(o**17\/o))*o**(-2\/33)\/o*o*o*o\/o**1 assuming o is positive.\nAnswer: o**(1369\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:10 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -335, -455, -537, -569?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/14032656 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488255921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756143?\nAnswer: 13, 41, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 3*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32251 + 46887. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 + 2252*i**3 - 642880*i**2 + 5033236*i - 9374430 = 0. What is i?\nAnswer: 3, 5, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/((-2)\/4). What is the units digit of ((-22)\/(-14) + d)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, 14, 57, 138, 269, 462, 729?\n\"Answer: 2*f**3 + f**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -23*h + 25. Determine n(-9).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 15 = -3. Calculate the common denominator of (-6)\/(-27)*(0 - -26) and (-1)\/1 + 204\/j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88785302, -88785304, -88785306, -88785308, -88785310?\n\"Answer: -2*o - 88785300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + 657. Calculate the least common multiple of 9 and t.\nAnswer: 6201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*c**5\/7 + 216578*c**4\/7 + 460162*c**3\/7 + 81178*c**2\/7 - 351898*c\/7 - 27068 = 0. What is c?\nAnswer: -13534, -1, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 80 = 0. Is (117 + -1)*8\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 647811*j. Let o(x) = 5*x**2 + 110*x. Calculate l(o(u)).\nAnswer: 3239055*u**2 + 71259210*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 - 19 = 0. Let j = b - 22. Sort j, 3, -5.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(153)*2)\/sqrt(9).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 4169*l**6\/120 + 77*l**4\/24 - 2*l**3\/3 - 4132*l**2. Find the second derivative of c(o) wrt o.\nAnswer: 25014*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 l, and 1 x when four letters picked without replacement from gunnlxlb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 + 7 + 10*j to r*j + k and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 2\/3*f**3 - 2\/3 + 2*f.\nAnswer: 2*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*b**2 + 76*b**2 + 75*b**2 - 3*b**2 + 0*b**2 + b**2 + (b - b - b**2)*(-5 + 2 + 0).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + c + 8. Let q = 1 - -10. Let r(o) = -o**2 + 10*o + 16. What is the remainder when s(0) is divided by r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-3)*(-189)\/(-126).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -43*j**2. Suppose -s + 1068 + 90 = 0. Suppose -5*a + 182 + s = 0. Let i(d) = 2 + 269*d - 2 - a*d. Calculate p(i(f)).\nAnswer: -43*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 4. Let v = -8 - -11. What is the second biggest value in -0.4, b, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*j - 98, 2*a - 98 = -0*a + 3*j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + z + 406, 3*c + 0*z - 258 = -3*z. Let x(w) = -w**3 - c*w - 4*w**2 - 3*w**2 + 82*w. Let k(h) = -h**2 - 5*h - 7. Let g be k(-5). What is x(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2940306979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(2\/17)*k\/k**5*k**0\/(((k**(-25)*k)\/k)\/k))**(-14) assuming k is positive.\nAnswer: k**(-5740\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.069 - 31.769. Let m = 101 + -74. Let o = k + m. Round o to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2138*s. Let p(d) = 741*d**2. What is p(b(g))?\nAnswer: 3387143604*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 10. Suppose -4*k + 8 = 0, 12 = j + 2*k + 2*k. Let f be -3*j\/(12\/(-5)). Let m be t(f). Is m less than 39\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 34 - 64 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7, 0.2, 0.1, -1\/5, 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0865 and -30.\nAnswer: -29.9135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**7\/6300 - s**6\/900 - s**4\/12 - 3*s**3\/2 + 29*s**2. Let p(o) be the second derivative of y(o). What is g in p(g) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i + 1714. Let f(j) = -12*j. What is a(f(p))?\nAnswer: -144*p + 1714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 11?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3355.956 - -3327. Let f = -29 - x. What is f rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 0*m**3 - 4*m**3 + 2*m**3.\nAnswer: -2*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -324106*c - 391784 with respect to c.\nAnswer: -324106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f. Let b = 8023\/59 + -136. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(5\/1) + 19. Let u = y - 241\/10. Find the common denominator of 49\/2 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*z + 4*z + 7, 0 = x + 4*z - 22. Calculate the least common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 9 + 0 + 15 as j*q + s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-7\/5)*l\/l**3)**(-1\/21) assuming l is positive.\nAnswer: l**(-2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -225\/109 (c) 5 (d) -5 (e) 2 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 21 = -0. Solve -2*v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3308*n - 2514*n + 2 + 2818*n + 916*n + 1874*n to l + t*n and give t.\nAnswer: 6402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -17019 and -0.3.\nAnswer: -17019.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 40 + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 57756*i - 7987648.\nAnswer: 4*(i - 137)*(i + 14576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*h - 4*h**2 - 238*h + 644*h + 1859*h in the form y*h**2 + g + z*h and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -319*i**7\/14 - 233*i**4\/3 - 6*i - 37. Find the third derivative of n(v) wrt v.\nAnswer: -57420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + 1506 - 2980 + 1515)*(21 + 10 - 12) as c*z**2 + r*z + f and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*m + 2, -3*g - m - 3*m = -29. Solve -g*o - 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 + 1 + 6\/(-2). Let k(p) = 4*p**2 + 9*p - 5. Let z(h) = 2*h**2 + 4*h - 2. Let f = -36 + 32. Give f*k(s) + o*z(s).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let n(k) = k**3 - 17*k**2 + 18*k - 3. Let r be n(16). Let x(f) = r*f + 8*f - 5*f. What is i(x(g))?\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(4*sqrt(9)) + sqrt(13) + 4*sqrt(117) + -5 + (sqrt(26)\/sqrt(2) - sqrt(13) - sqrt(13)) + 3 + 1.\nAnswer: -1 + 49*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/31)\/x**(-16) assuming x is positive.\nAnswer: x**(498\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19861 - 7?\nAnswer: -19868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 945445.5 months to years.\nAnswer: 78787.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + r**2 + 10 + 10 - 35.\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.52 - 1.52. What is the fourth biggest value in 4\/3, 1\/4, -74, c?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15885? (a) 1 (b) -4 (c) -3 (d) -5 (e) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329 - -655. What are the prime factors of x?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 2. Let v be x(-3). Let b = 1307 - 1312. Is b bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 325, 1265, 2831, 5023, 7841, 11285?\n\"Answer: 313*t**2 + t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 bigger than -693\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -3, -0.8, -5, 1\/2, -27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90000 = -3*o - 3*b, -o + b = 2*o - 90000. What is o rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**2 - 208908*f - 2511913 wrt f.\nAnswer: 44*f - 208908","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61.9437 and -0.3?\nAnswer: 61.6437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-10)*(-1)\/(-15)*3. What is the closest to -1 in g, 22, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-2\/5))\/n*n)\/((n*(n\/(n*n*n**(-3)*n))\/n*n)\/n)*n**(1\/5)*(n*(n*n**(5\/4)*n)\/n)\/n assuming n is positive.\nAnswer: n**(61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313911 + 313911 + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 - 1329*j**2 + 661*j**2 + 668*j**2 - 10*j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p + p - 2*p + 3*p**3 + 9*p + 2*p**2. Let q(v) = 5*v**3 + 3*v**2 - 7*v. What is -7*b(z) + 5*q(z)?\nAnswer: 4*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*r = -23023 + 3619 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 530838 and 16086?\nAnswer: 530838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7*(24\/98)\/(18\/(-63))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c*c**(-1)*c*c)*c**(-3\/4)\/c**(-6))**(-13\/2) assuming c is positive.\nAnswer: c**(-169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**6\/180 + h**5\/15 - h**4 + 2*h**3 - 3*h**2\/2 + 57*h. Let g(i) be the second derivative of s(i). What is k in g(k) = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, e: 2, a: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t - 72. What is k(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186203*s - 465322?\nAnswer: 186203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -43*b + 84. Let g be w(-17). Suppose -6*l - 3*y = -4*l - g, 0 = -3*y + 3. Calculate the highest common divisor of l and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4)*-2) + -5 + sqrt(39)\/sqrt(3).\nAnswer: -5 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 56678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.01 + 4.2. Let z = y - -0.81. Which is the nearest to -1? (a) z (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 545.01127 + -545. Round w to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + -2.4. What is the biggest value in -4, i, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -34. Let h be (3\/d)\/(5\/(-1110)). Let q = 217 - h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2209275550 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*j**3 + 44*j + 16*j**3 - 27*j**3 + 37 + 29*j - 36 as c + p*j**3 + h*j + u*j**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 7*b**2 - 7*b + 4. Calculate the remainder when 67 is divided by q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -26 - 7*v**3 + 48 - 6*v**2 + 8*v**3 + 16*v - 82. What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3890 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 54*x + 4 = 51*x, 4*q + 4*x + 12 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*f - 17*f - 38*f - 9*f to the form k + r*f and give r.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from kzzkyzskzzskszzszyk?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12177248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33042, 263253, 888108, 2104929, 4111038, 7103757, 11280408, 16838313?\n\"Answer: 32887*s**3 + 2*s + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80776 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366422 is divided by 907?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 14*c**2 + 6. Let v be q(14). Suppose v*h = h - h. Put -4, h, 9 in decreasing order.\nAnswer: 9, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1959 + -1258. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552076 at least 6208303\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h**5\/17 - 2230*h**4\/17 + 197436*h**3\/17 - 330536*h**2\/17 - 110608*h\/17 = 0. Calculate h.\nAnswer: -223, -2\/7, 0, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(15)\/sqrt(405) + (sqrt(486)\/sqrt(2))\/sqrt(9)) + -2)*-3.\nAnswer: -30 + 140*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + d. Calculate f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-9))\/(10\/(-15))*(-12)\/(-24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 d when three letters picked without replacement from dzddbzddbbbedd.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 12) to base 16\nAnswer: 12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512565 (base 7) to base 15.\nAnswer: -1ad79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*b + 140*b + 4*a + 0 = -15, -3*a = 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 11 in decreasing order.\nAnswer: 11, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00106076 rounded to 5 decimal places?\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24616 in 2, 2\/7, -0.1, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 5 - sqrt(190)\/sqrt(250)) + 2.\nAnswer: 7 + 19*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7\/3)*r)**39 assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1673 and 223465.\nAnswer: 1564255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 169\/5, 2, -2\/221?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 449748.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g*g**8)**25*((g*g**(2\/3))\/(g*(g*g*g\/g**3)\/g))**(2\/55) assuming g is positive.\nAnswer: g**(12377\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/24 - z**3\/3 + 23*z**2. Let c(r) = 1. Give 3*c(p) + 2*i(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9000 divided by -4?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29074730309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 = 4*b. Let r be (14\/35)\/((-1)\/b). Solve -4*h = 3*c - 1 - 14, -h - r = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390982 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l + 135. Let j be k(-21). What is the greatest common divisor of 927 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 75. Let x = 50.1 - k. What is x rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54709703661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -264.3 - -264.1. Let y = 0.86 - 1. What is the smallest value in c, y, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2243294 and 17\/301338.\nAnswer: 20189646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 3*f + 5. Suppose -3*j + 2*l + 20 = 0, -j = 2*l - l. Let s(g) = -5*g**2 + 4*g - 6. Let v(m) = j*u(m) + 3*s(m). Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -1\/6*t**4 + 0*t + 2*t**2 + 0*t**5 + 0 + 1\/40*t**6 + 0*t**3. Find the second derivative of f(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 11. Let u(h) = 2*h + 7 + 5*h**2 - 1 - 8. What is the units digit of u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 278070 and 46345.\nAnswer: 278070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and 19\/1625867?\nAnswer: 13006936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/14)*p\/p**(2\/9))\/((p\/((p**(-5)\/p)\/p))\/(p\/(p\/p**(1\/3)*p))) assuming p is positive.\nAnswer: p**(-1003\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36 - 1) + 0 + 0. Suppose 5*v + 45 = -2*s - s, 5*s - 4*v = -75. Let j be -3*5*(s\/(-9) - 2). What is the highest common divisor of w and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*y = 98, 4 - 68 = -4*s + 2*y. What is the smallest common multiple of s and 57?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69140891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**0\/g))\/g))\/g)**(-35)\/(g\/g**(2\/7))**33*g*g**0*g*g*g*g*g\/(g\/(g*g**(-3\/2)))*g*(g**(2\/7))**(2\/15) assuming g is positive.\nAnswer: g**(509\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3 - 5 + 4 - 6 - 6*p. Let u(h) = -7*h - 5. Let r(f) = 5*l(f) - 4*u(f). Let n(a) = -4*a. Let m(d) = 7*d. Let i(g) = 6*m(g) + 10*n(g). Give i(r(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108075 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11571 is divided by 1653.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115673 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 10095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 15. Suppose n + 1 = p. Suppose n*m = 121 - 33. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**2. Suppose 39*z = 6*z. Let n(h) be the second derivative of z*h**2 + 1\/12*h**4 - 9*h + 0*h**3 + 0. Determine k(n(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10202 (base 3) to base 9\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 6*x)*(x + 0 + 0 + (-4 + 4 + 2*x)*(-1 + 1 + 2) - 2*x + 2*x - 2*x - x - x + 0*x + 0*x + 0*x + x + 4*x + 4*x - 5*x).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 3.05 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82662, 82631, 82600?\nAnswer: 82569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 292*h**2 - 866*h - 53. Determine n(3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o - o**2 - 2*o**2 + 4*o**2. Let j be m(5). Suppose 0 = 3*w + 15, 6*w + 10 = -j*z + 2*w. Calculate the lowest common multiple of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 19, -15 in increasing order.\nAnswer: -15, 1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 - 3*o + 48. Let y be l(-6). What is the closest to y in -0.2, -2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134291502*r**3*v + 28*r**2*v - 7*r**2 + 165*r*v - 2*r - 62 wrt r.\nAnswer: -805749012*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -1 + 0*v**2 + 0*v - 8\/3*v**3. Let i(t) = -2*t + 2*t - 1156*t**2 + 1155*t**2. What is i(a(j))?\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -966 - -963. Let o = -0.39 + -0.01. Let j be 3\/9 - (-10)\/(-12). Which is the nearest to j? (a) m (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.88 + -0.12. What is the fourth smallest value in 0.13, -5, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685898871.\nAnswer: 3, 7, 47, 401, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83559678?\nAnswer: 2, 3, 13926613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813731 is divided by 203432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a + 27*a - s = -3, 3*s - 27 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 2*j - 4 - 5*j.\nAnswer: -3*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 2*i + 113 - 3475*i**3 + 10421*i**3.\nAnswer: 6946*i**3 - 2*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/2 + 70*q**3\/3 + 232*q**2 + 864*q - 1144. Factor l(p).\nAnswer: 2*(p + 4)**2*(p + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*k**6 + 4*k**5 - 392*k**4 + 9422893*k**2 wrt k?\nAnswer: -4080*k**3 + 240*k**2 - 9408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*v = -9, -12*l + 5*v + 2642 - 2519 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8705.\nAnswer: 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -247 - -250. Let d(n) = -10*n**3 + 2*n + 1. Calculate the lowest common multiple of d(-1) and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16222 - 10989. List the prime factors of o.\nAnswer: 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -c + 19, a + 25*c - 21*c - 13 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*l = -4, -2 + 20 = n + 4*l. Suppose 3*m + 3*o + 738 = 4*m, m = -n*o + 728. What are the prime factors of 22\/(-77) - m\/(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {k: 2, f: 2, q: 6, p: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97197521 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 v(s) = -s + 6. Let k be v(8). Let m be -3 - (-5 - k\/(-1)). Solve -i + 21 = -3*g + 4, 0 = m*i + g - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5306150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725228 by -20.\nAnswer: 181307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*s + 5*s + 782 = 0, -4*s = -8. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 3 (c) 1\/13 (d) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1188)\/(-28) + 3 + 15\/(-35). Suppose -2*k = 2*k - 12. Suppose f = k*u - 2*u. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 41. Let o(p) = -p - 10. Let v be o(y). What is the smallest value in v, 3, 2, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 + n - 5. Let b(z) = -8*z**2 - 6. Let h = -25 - -31. Let u(j) = h*k(j) - 5*b(j). Factor u(f).\nAnswer: -2*f*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12012110 - 1122102112?\nAnswer: -1110020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = p - 5*n, -3*p + p = -4*n - 62. Let u = p - 1535. Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -17 + 21 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeezezeeeeeeeezeeee. Give prob of picking 2 z.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.26*5\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2 + 23. Let p = 362 - 242. Suppose -c = 2*c - p. Calculate the remainder when c is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1572, 3019, 4224, 5073, 5452, 5247, 4344?\nAnswer: 2629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*2 + sqrt(7) + (sqrt(448) + sqrt(448) + -1)**2 + 2 + 2)*1.\nAnswer: -27*sqrt(7) + 1797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkfffkk. What is prob of picking 2 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.98 + 41. Let s = k + -0.32. Let z = -0.5 - -0.5. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.94 + 0.06. Let n = k - 21.9. Put 14, n, 4 in descending order.\nAnswer: 14, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Put 4, k, -7\/5 in ascending order.\nAnswer: -7\/5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3446 * -0.4.\nAnswer: 1378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7 = -p, 2*p + 6 + 0 = 0. Suppose -6 = -2*t, 5*t = -0*c + o*c - 269. Suppose -c = -2*q - 16. Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 1. Let u be m(4). Suppose 6*d = u*d - 18. Let y(s) = s**2 + 4*s + 4. Does 8 divide y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - v = 73, 0 = 5*j + 3*v - 0 - 70. Let q(t) = 89 - 86 - 6*t + j*t. Let n(g) = -4*g - 1. Let f = -13 + 21. Determine f*n(u) + 3*q(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = -914*k - 1364 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 309 + (-1)\/(1\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260*h**3 + 4*h + 6 wrt h.\nAnswer: -1560*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2 + o**3 - 3 + 7 - 9*o**2. Calculate the remainder when n(9) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.41 - 0.01. Let a = -19.912 + 19.812. What is the fourth biggest value in j, a, 9, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 12:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**2\/2 + 45*x - 5. Does 9 divide t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 0) + 60\/(-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:51 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 + 8*h**3\/3 + 2*h**2 - 11*h + 2. Let y = 11 + -3. Is 13 a factor of v(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c00 (base 14) in base 15?\nAnswer: a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-380) - (-4 + (-519)\/(-30))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 times -0.36\nAnswer: -1.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 4, 2*v = 3*y - 192. Let l be 2\/3 + (-336)\/v + -4. What is the nearest to l in -2, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from fdddgddbdddgdldf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1337957 = -4*y + 1337961, 11*w = 3*y - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3*j + 4. Let w = -4 - -8. Suppose -z - 3*z + w = 0. Suppose -2*s - z = -7. Determine k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 1.7 (c) -1597 (d) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let i(p) be the first derivative of -569*p**2\/2 + 46. What is n(i(a))?\nAnswer: -569*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.5 greater than or equal to 2525.48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnnttttdnanaattanatt. What is prob of picking 2 t, 1 d, and 1 a?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2943 divided by -981?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -142340 (base 6) to base 13\nAnswer: -6204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Let i = m - 3. Solve -k = -1, -2*k = -i*j - 0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4141, 3347, 2555, 1765, 977?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16964 = -3*w - 5*a, -3*w - 5*a + 22627 = w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 713.104 to the nearest integer.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:34 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4327*x**2 + 628*x - 4415. Let g be j(7). What is g rounded to the nearest 1000?\nAnswer: -212000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239096, 239093, 239090, 239087?\nAnswer: 239084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 2. Let z(l) = -l + 1. Let y be z(4). What is the third biggest value in y, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 13800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + 15*g - 22*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 6*x**2 - 14686*x + 146451. Give h(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 169. Suppose y*f = 2417 + 1367. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzlk when four letters picked without replacement from {u: 5, l: 3, z: 1, h: 2, k: 1, j: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 6:44 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.4162t in micrograms?\nAnswer: 807416200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(77\/((-862785)\/664))?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00287706 rounded to five dps?\nAnswer: 0.00288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 14085180?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/21 - 38*c + 3840\/7 = 0.\nAnswer: 15, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2\/5 + 271413*w\/5 - 271416\/5 = 0. What is w?\nAnswer: -90472, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.2 + -5. Let f = r - 1. Let l = -295 + 294.8. What is the biggest value in 0.1, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10*k**2 + 14*k - 7. Let w(f) = 7*f**2 + 10*f - 5. Let u(q) = -5*t(q) + 7*w(q). Let c(i) = -48*i**2 - i. What is c(u(g))?\nAnswer: -48*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + 1 + 4 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4\/5 - 1383*n**3\/5 - 48333*n**2\/5 - 46953*n\/5 = 0.\nAnswer: -423, -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, f: 1, b: 2, v: 2, i: 1}. What is prob of sequence bf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -33*o**2 + 7. Let l(a) = -6*a**2 - 8*a - 6. Let y(q) = -q**2 + 2*q + 2. Let u(w) = -5*l(w) - 20*y(w). What is -7*i(n) - 5*u(n)?\nAnswer: -19*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 36*n - 4022. Let h be d(112). Solve -h*l + 1117 = 1167 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(68\/204)\/(21\/2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42\/535 + 18807\/26215. What is the common denominator of b and (10\/6 - 1) + (-82)\/(-66)?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = 8*u. Let n be (u + -1 - 11)*(-5 + 4). Suppose -v + 3*t + 77 = 0, 0 = -4*v + 6*t - n*t + 244. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -40. Solve -d*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1354841 (base 9) to base 3\nAnswer: -1101211221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 9 = 3*d, -d + 194 = -3*w + 181. Sort -5, w, 352.\nAnswer: w, -5, 352","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61.3 + -61.1. Let w = 31 + -61\/2. Put s, -0.1, w in decreasing order.\nAnswer: w, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -6*d**2\/5 - 1008319092*d\/5 - 42362807970487686\/5 = 0.\nAnswer: -84026591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 + 43 = z, -z + 2*f + 35 = 0. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 975949\/8 or 121995?\nAnswer: 975949\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(14\/(-21))*(-22)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 13, 1, -21, -53?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5*z + 0*z)*(0*z - 2*z - 2*z) + (4*z - 2*z - z)*(7*z + 3*z - 5*z).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.3 and 0.98?\nAnswer: -22.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/4)\/((210\/20)\/(-21)*2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*-1 - -2*(2*sqrt(77) + sqrt(77) - sqrt(77) - sqrt(77)))\/(-1*sqrt(55)\/sqrt(20)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 1017*(-10)\/(-1010). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464.92 - 36.28. Let z = -502 - w. What is the third smallest value in z, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 1 + 0*d**3 + d**2 + 0. Let s be h(1). What is the second biggest value in -5, s, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278, -2, 2, -5, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, -2, -5, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*z - 46, -2*k = -3*z - 11 - 12. Let x be ((-4)\/1 - 0)*-1. What is the derivative of 15*l**4 - k*l**4 - 7 + 5*l**x wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c2a11 (base 13) to base 16\nAnswer: 1651b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 44 = -2*h. Suppose -h + 3 = 4*y. Let s be (93\/54)\/1 - (-8)\/(-36). Put 2, s, y in decreasing order.\nAnswer: 2, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164? (a) 1 (b) 15 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 810*m**2. Let z(v) = -6*v**2. Give a(z(r)).\nAnswer: 29160*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.393736 litres in millilitres?\nAnswer: 7393.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 8*f**2 + 4*f - 10. Let a be w(-7). Suppose 0 = a*r - 18*r. Solve 0 = 5*l + 5*z + 20, 3*l - z = -r*z - 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5314 + 106301\/20. Let g = 124903 + -177736981\/1423. Let n = g + -126407\/28460. What is the common denominator of l and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26819*k**4 - 3 - k**2 + k - 2*k**2 + 26823*k**4 to the form d*k**3 + f*k**2 + i + t*k**4 + u*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*z**6 + 285*z**4 - z**2 - 474*z + 11?\nAnswer: -11160*z**3 + 6840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 9. Let n be t(-9). Let l = n - 14. Suppose 6*m - 2*m - b = -l, -5*b = 2*m - 20. Solve q - 2*q - 4 = m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294567, 294303, 294039, 293775, 293511?\nAnswer: 293247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512353735 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.585954 grams in kilograms?\nAnswer: 0.007585954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-10)))\/o**(1\/6))\/(o**8*(o*o**(-10))\/o) assuming o is positive.\nAnswer: o**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 22*a**2 - 107*a + 142. Give p(-6).\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 19. Let n(k) = 2*k. What is o(n(w))?\nAnswer: -12*w**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 26 + 0*s - 4*s + 5*s. Is c(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5426*d + 3367. What is the units digit of g(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 5*t**2 - 5 + 5)*(-44 + 44 + 5*t) + 123*t**2 - 123*t**2 + t**3 to the form g + o*t + v*t**2 + h*t**3 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, -72, 5, -0.0422, 54 in descending order.\nAnswer: 54, 5, 0.2, -0.0422, -0.1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 7*y + 22. Suppose -y*m = a + 74, 2*a - 4*a + 62 = -2*m. Is -35 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*o - 30 = -53*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1279, -18 in increasing order.\nAnswer: -18, -5, 1279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + a**2 - 1 - 5 to t*a**2 + h + o*a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-7) + 382\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8\/9, -18 in increasing order.\nAnswer: -18, 8\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -16 - (-5 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g - 18. What is n(-4)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*o - 10, 8*o - 5 = 3*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/f)**(2\/61)*(f\/(f\/f**2))\/f*f**0 assuming f is positive.\nAnswer: f**(291\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let o be (d\/(-4))\/(7\/(-28)). What is the third derivative of 2*s**4 + 0*s**4 + 0*s**4 + s**4 + 4*s**o wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 25a56?\nAnswer: -25a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -32. Let f = c + -8. Suppose 0*n - z = -4*n + 797, -f*n + 3*z = -991. Round n to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820672381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 1\/12, -1\/3, -5\/4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -862.6438 + -70.4552. Let l = z - -934. What is l rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89193 is divided by 3070?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*v - 9, -v - 4*v + 13 = 4*d. Suppose -5*y + k - 5*k + 6 = 0, -3*y + d*k + 8 = 0. Solve 0 = o + y*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/460 and -69\/17586932.\nAnswer: 2022497180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2994, 6244, 9748, 13506, 17518, 21784, 26304?\n\"Answer: 127*q**2 + 2869*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -459\/122390?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w. Let d be j(6). Let u be 120\/d*(2 - 0). Put 0, u, -5 in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 + 153?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*n = 11, -4*n + 4 = -o - 3. Suppose 2*h - 946 = -h + o*a, -2*h + 2*a + 632 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5127808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (324\/63 + -4)*(-7)\/(-2). Differentiate -6*t**4 - 145 - 34 - 84*t**b wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 2*z**2 + 9*z + 17. Let j be p(-4). Let d = j - 68. Suppose -19 = -4*g - d*n + 10*n, 5*g - 4*n - 32 = 0. Solve -9*r = -g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -117*l + 471. Calculate k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69, 126, 291, 618, 1161?\n\"Answer: 9*s**3 - 6*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2800)*3.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.599 - 13906.42168.\nAnswer: -13959.02068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1875)\/(-350)*91\/(-78) and 242\/(-8) + 1\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1784.787 litres to millilitres.\nAnswer: 1784787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260623?\nAnswer: 11, 19, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*v + 82 - 259 = 293 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/12 and 63\/134.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -183287 bigger than -184327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64300 + -22839. List the prime factors of q.\nAnswer: 7, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1888*q - 1 + 6 + 1889*q)*((-q - q + 4*q)*(2 - 2 + 2*q) - 2*q**2 + 1 - 1 - q**2 + q - q).\nAnswer: q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b + b - b + b**2. Let x(a) = 0*a - a + 6*a. Determine c(x(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 58*p**3 - 25*p - 19*p**2 - 21 + 66*p**3. Let b(s) = 5*s**3 - 10*s**2 - 13*s - 10. Let t(m) = -5*b(m) + 3*d(m). Determine t(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8054 - 8456 = 67*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-8)\/2)*-12*11\/2178. Which is bigger: c or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2691\/794269?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -38 - -13 - 4 - 58\/(-2). Find m, given that 0*m**2 + y*m + 18\/5*m**4 + 0 + 8\/5*m**5 + 4\/5*m**3 = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68569027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -34. Suppose 2*u - 2*a - a = 2, -u = 3*a - r. Calculate the remainder when 6 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27740 rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 135103 + 584897. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x**3 - 3*x**2 - 71*x - 3. Let l(m) = m**2 + m + 1. Calculate 3*l(j) + z(j).\nAnswer: -9*j**3 - 68*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-355872)\/42)\/(-4) + (-6)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111224 + 435?\nAnswer: -110678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 7*j**2 + 2*j - 10. Let h be y(7). Suppose -4*l + 379 = 2*b + 3*b, h*b + 2*l - 302 = 0. What is the highest common divisor of b and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - p**2 - p - 1. Let x(h) = -4*h**2 - 5*h - 5. What is -5*n(r) + x(r)?\nAnswer: -5*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3354 + -0.0354. Which is the smallest value? (a) 0.3 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3200 (base 4) to base 16\nAnswer: -e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 73 - 57 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 19*o - 20*o. List the prime factors of (52\/(-8))\/(((-9)\/o)\/(-3)).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.125586us in hours?\nAnswer: 0.000000015034885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10838283 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 124 - 250 + 126.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 3. Let d be l(13). Suppose 2*q + f + 11 = 6*q, 0 = -2*q - 3*f + d. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -68, -719 in descending order.\nAnswer: 3, -68, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-6) + (-9)\/(-6). Suppose -2*q + 18 = a. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -474, -940, -1406, -1872?\n\"Answer: -466*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*d + 25*d - 35*d)*(-4*d + 0*d + 2*d)*(-3 + 0 - 1) as i*d + q + x*d**2 and give x.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 16, 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2. Let g(v) = -v**3 + 4*v**2 - 4*v + 4. Let c be g(3). Suppose s - 2 - c = 0. Let o(d) = d + 0*d - s*d + d. Determine o(f(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56223 + 0?\nAnswer: -56223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 9\/2 (b) -55 (c) 2\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 21*c**2 - 68*c + 51. Is y(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -1090*w + 1094*w + 5*p, 0 = -2*w - 8*p + 62. Factor 5\/2*k**w + 0*k + 1\/2*k**5 + 0*k**2 + 3*k**4 + 0.\nAnswer: k**3*(k + 1)*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-75921)\/(-39) - (-12)\/39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51821 = 1647*o + 32326 + 27849 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -44. Let l = -10.3 - -0.3. Let y = l - -9. Which is the closest to y? (a) 6 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:26 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:25 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Suppose 24 = -4*a + 2*u - u, s = -a + u - 6. Let w(v) = v**3 + 7*v**2 + 4*v - 4. Calculate the remainder when 21 is divided by w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22416887, -44833776, -67250665, -89667554, -112084443, -134501332?\n\"Answer: -22416889*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 13*d + 18. Let g(r) = 2*r - 3. Let h(f) = -6*g(f) - x(f). Suppose -5*m + 13 = s + 1, 3*m + 5*s - 16 = 0. Give h(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:41 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*v + 13*d + 133, 4*d = -5*v + 8*v + 7*d + 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g. Let o(m) = 2*m**2 - 4*m - 2. Let k(u) = 3*l(u) - o(u). Let s be k(3). Solve 20 + s = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2245 - -3146. Is 33 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -22, 25, 1\/2, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**31)**(-41)\/(o**(-17)\/o)**14)**39 assuming o is positive.\nAnswer: o**(-39741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f = -4*j + 46*f - 65, -35 = 4*j - f for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77084 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-1))\/(-2)*16\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 452 + -483.9. Let g = -33 - q. Suppose 4*l + 21 = y - 0*l, 3*y - 23 = 4*l. What is the third biggest value in 0.1, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-105)*(-15)\/(-10)*(-11)\/(-5720)*30?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 41*h + 777 + 265 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 2 + 0 - 2*t + t**2. Let v = 9 - 5. Calculate y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.077 plus -0.8?\nAnswer: 1.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 3*i - i + (2 - 2 - 2*i)*(-2 + 5 - 4) + 10*i - 22*i - 53*i.\nAnswer: -64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 + 41*t)*(-3*t - 2 + 2).\nAnswer: -123*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86526907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*c - 113 = 0, 2536*n - 3*c + 380 = 2549*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126692747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -23*w**2 + 7*w. Let t = -1 - 6. Let m(u) = 12*u**2 - 4*u. Let o(x) = t*m(x) - 4*k(x). Let q(g) = -20*g**2 + 30*g**2 - 12*g**2. Determine o(q(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -185692400 to the nearest 1000000.\nAnswer: -186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 + 51*j**3 + 21*j**3.\nAnswer: 93*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47232 - 7?\nAnswer: 47223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.73 + 0.73. Which is bigger: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 12) in base 2?\nAnswer: -100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2. Let g = 66 - 37. Suppose -g*o = -31*o + 56. Let k(x) = -1 + 45*x**2 - o*x**2 + 1. Give c(k(a)).\nAnswer: 867*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {k: 1, z: 4, f: 1, x: 1, n: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9\/4, 0.025, -14, -31, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 6) to base 3.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 8*t**2 - 29 + 14)*((-7 + 3 + 2)*(5*t - 21 + 21) - 3*t - t + 2*t - 3*t + 2*t + 0*t + (t + 2*t - 2*t)*(1 + 0 - 2) - 1 + 1 - t).\nAnswer: 120*t**3 + 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h + 1. Suppose -20 = 5*z + 3*s, -3*z + 2*s + 2 = -5. What is r(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -113?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 27.74. Let x = 0.06 - f. Let z = -1.2 - -0.2. What is the second smallest value in z, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/11 or 18.47?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/13 (c) 0.3 (d) -2\/139 (e) 5 (f) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24132578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -480 + 14*z**2 + 45*z**2 + 480 as x*z**2 + p + q*z and give x.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1809 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006336 rounded to five decimal places?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -278881.\nAnswer: -278881, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184.03 - -183. Let g = y + 0.03. What is the second biggest value in -2, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4856 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*s - 6*s - 29 = 0, 66 = 4*c - 2*s. Let f = -11 - -165. Calculate the lowest common multiple of c and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -0.54 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -11) + 146 + -152 + (-2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/3)*z**(2\/17))\/(z**(1\/3))**(31\/5))\/((z**(2\/9)*((z**(-1)*z)\/z)\/z)\/(z**(-1\/3)*z**0)) assuming z is positive.\nAnswer: z**(-1661\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-187)\/17 + 4 + -1. Let w be (-2)\/4*a\/1. Suppose 0 = -w*m + 13 + 3. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -39*u**3 + 3*u**2 + 3*u + 1. Let m(f) = -77*f**3 + 7*f**2 + 7*f + 3. Determine -3*m(z) + 7*w(z).\nAnswer: -42*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/507 + 3032\/2535. Let q = 3 + -3. Factor q + 3\/5*d**3 + v*d**2 + 3\/5*d.\nAnswer: 3*d*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q**3 + 2*q**2 + 2*q + 1. Let j be x(-1). Let a = -3 + j. Let w = -1 - -1. Solve -12 = 2*n - v - a, w = 2*n + v + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 + -37)\/((-12)\/10 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/1500 + 9*w**5\/125 + 103*w**4\/60 + 154*w**3\/25 + 6104*w**2. Solve s(o) = 0 for o.\nAnswer: -42, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 8*g + 8. Let u be f(-6). Let c = u + 2. Is -4\/7 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 times -0.4?\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161313.\nAnswer: 3, 17, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -27 + 2*x**2 + 0*x - 2*x + 29. Let t(m) = 2*m - 2. Suppose -2 - 4 = -3*c. Let w be t(c). What is p(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Suppose 0 = 4*l - 3*l. Suppose o*c + 11 = -5*g, l*c + g = -3*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11034 + -695. What is the thousands digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17925 - 17892. Solve 29*p + 15 = -m + q*p, -3*m = 3*p - 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 117\/(-6)*(-1)\/(-3)*2. Let k = -8 - r. Solve -2*w = 2*m + w - 5, -k = -w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*j + 9, 6*j = 4*j - 3*g + 6. Suppose -28 = -4*f + 4*v, -4*v - 24 = -3*f - 0*v. What is the first derivative of -j + 1 - 10 - f - 5*o**3 wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 43 = -3*m + 5*v, -3*v - 56 = -4*m. What is the smallest common multiple of m and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = z - 56002, k = 30*z - 29*z - 55982. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74465 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17*n + 6. Let m be w(-6). Suppose 11*p - 9*p = m. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/5 of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255.43 + 257.43. Which is the third smallest value? (a) -0.02 (b) 0.45 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/144 and 2\/165.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 - 117. Calculate the highest common divisor of 17 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 2 (b) 0.1 (c) -3\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 19 = n - 4*c, 0 = 3*n - c - 13. Suppose 80 = 3*y + n*a + 5, -3*a = 2*y - 49. Calculate the remainder when y is divided by 1\/3 - (-82)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*k + x - 3, 4*x = -2*k - 16. Let n(c) = 58*c**k - 27*c**2 - 30*c**2. Determine n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 2) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.148 - -0.178. Which is the nearest to -1? (a) v (b) -0.2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2006 is divided by 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120892327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011212 (base 3) in base 8?\nAnswer: 5747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1224467.\nAnswer: 29, 42223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(8)\/(-1*sqrt(4)) - -3*(sqrt(200) + -1)**2) + 0.\nAnswer: -295*sqrt(2) + 3015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 13 = -v + 16, 9 = 3*v + 5*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-1 - 3 + 2) + 7 - 3 + 0)*(9*a**3 + 3*a**3 - 4*a**3).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 x when three letters picked without replacement from aaaqgllllxgallg?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 465 - 3245\/7. Which is greater: o or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.468 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/5 + -2\/15. Let a = x + 2\/15. Put a, -0.3, 5 in descending order.\nAnswer: 5, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - (-2 + (-3 - -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 122608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1051053879*v**3 - 88603402*v wrt v?\nAnswer: -6306323274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/4 + 12995975*h\/2 - 168895366200625\/4 = 0. What is h?\nAnswer: 12995975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**2 + 293*v + 682. Determine y(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 20. What is s(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - 1144*o**2\/3 + 1915*o.\nAnswer: -o*(o - 5)*(o + 1149)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 12. What is b(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 988 and 59904?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2641 (base 8) in base 12?\nAnswer: -a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2765220165.2774 + -0.1\nAnswer: -2765220165.3774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0309 or 0.04?\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a. Let g(r) = 4*r - 12*r + r. Calculate g(v(m)).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356853189 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11634011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5779998 decades in centuries?\nAnswer: 0.05779998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:22 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/69 + -1016\/345. Let u = k - -47\/15. What is the nearest to u in -1\/3, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-544)\/(-68))\/(6\/(-9)*3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfwfw. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 3*o)*(1 - 4 + 2)*(-2 + 3 + 0)*(-3*o - 13*o - 5*o).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 8*s**2 + 4*s + 8. Let r be k(7). Let f = r - -32. Let o = f - 7. What is the highest common divisor of o and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etjt when four letters picked without replacement from teutjkhujjjueju.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32682015481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 316, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0151 + -21074818638.\nAnswer: -21074818638.0151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(130) + sqrt(130) + sqrt(130) + sqrt(130)*-4) - 1*sqrt(130)*-4)\/(sqrt(100)\/(sqrt(10) - 2*sqrt(10)) + 3*sqrt(60)\/sqrt(6)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 250*o - 246*o - 34 = 0, -230*s + 2*o + 102 = -227*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 2, -3, -56, 17 in descending order.\nAnswer: 17, 11, 2, -1, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 13*o**2 + o + 13. Give d(6).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*s - 4*s + 3*u, 0 = -3*s + 5*u + 11. Calculate the lowest common multiple of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g + 2*r + 1847 = 41*g, -r = g - 1847. Is 43 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**7\/42 - 2*v**6\/15 + 3*v**5\/20 + 5036*v + 1. Determine k so that w(k) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -230 - 44cc9?\nAnswer: -44ef9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5583 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 13\/((-13)\/(-8)). Which is greater: l or -9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:45 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*g - 181*g = -48. What is the highest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 19*d + 179. Let b be r(-10). Let u(v) = -44*v**2 + 11*v + 11. Let k(h) = -15*h**2 + 4*h + 4. What is b*k(q) + 4*u(q)?\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8869878 and 279638.\nAnswer: -8590240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4918728 by 204.\nAnswer: -409894\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:47 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -36. Suppose -2*g + p = g. Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0515 * -0.25\nAnswer: 0.012875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m - 8. Let l(a) = 1. What is 3*b(v) + 24*l(v)?\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2416735, -4833485, -7250235?\n\"Answer: -2416750*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:09 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3579*a - 86302 = 139175 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -318, -479, -642?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = 3*i - 10, -d = -i - 10. Let h be (-147 - -12)*d\/(-8). Let f = h + -102. What is the smallest value in f, -1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:36 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*d + 12 = -0*w, -22 = -w - 2*d. What is the greatest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:12 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:34 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 27*w + 43. Let z be g(-15). Let k be (6\/9)\/((-4)\/(-6)). Put k, 4, z in ascending order.\nAnswer: z, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3390*p**3*s**3 - 2850*p**2*s**3 + p*s**3 wrt p?\nAnswer: -20340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-8 - -17 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 11, 4 in decreasing order.\nAnswer: 11, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -53\/80478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 1910946?\nAnswer: 1910942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, z: 1, r: 2, d: 1}. Give prob of picking 1 d and 2 h.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3305 and 75279968?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:13 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 951*b**3*j**2 + 4*b**3*j + b**2*j**2 - 2*b**2*j - 7*b*j**2 + 26*b*j + 22*j**2 - 625*j wrt j?\nAnswer: 1902*b**3 + 2*b**2 - 14*b + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 + 64. Let f = g + -205. Let d = -36 + 60. Is f greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 208491 - 77067 = 0. Does 80 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/3 - 7606*r\/3 + 7604\/3 = 0 for r.\nAnswer: 1, 3802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, 1, -1, -4, 2162, 3 in decreasing order.\nAnswer: 2162, 16, 3, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(6) - (sqrt(216) + sqrt(216)*1)))\/((sqrt(162) - (sqrt(162) + sqrt(162)*2))*-4).\nAnswer: -sqrt(3)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 41. Give p(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 17*a + 54. Calculate b(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18215579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kqkqi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -66. Let g = -27.69 + j. Round g to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*-1)\/sqrt(11) + (sqrt(3) - (1 + (sqrt(12)\/sqrt(4))**2)))*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-15)\/(-3))\/((32\/(-8))\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110001100010 + -1001111?\nAnswer: 10110110000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, o: 7}. Give prob of sequence tt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 263*v - 4. Let g(f) = -1314*f + 22. Determine -2*g(z) - 11*w(z).\nAnswer: -265*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/274780170 and 11\/1932350?\nAnswer: 1373900850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 19109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + q**2 - q**2)*(3*q - 3*q + q)*(4 + 0 - 6).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3550*v + 3551*v = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12983614*s**4*t + 7*s*t + 11791*t - 62 wrt s.\nAnswer: -155803368*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 504\/120*(-17220)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191315577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 - k**2 + 4*k + 1. Determine b(-2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.182ug in kilograms?\nAnswer: 0.000000391182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101263861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a7 (base 14) to base 10.\nAnswer: -1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 820 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 36 = 3*c, 7*p = 5*c + 4*p - 92. Suppose -4*s = -s - 36. What is the least common multiple of s and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 112.129. What is t rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 6) in base 7?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*h*j*k - h*k - 18*h - 7*j - 2*k**2 with respect to k.\nAnswer: -17*h*j - h - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + k - 20, -3*x - x = 4*k - 32. Suppose f - 125 = -x*w - 4*f, -2*w + 2*f + 76 = 0. Calculate the highest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 127 = 5*u, 3*t - u + 91 = 56 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12c + 4?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -21) + (558 - 583)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {w: 5, u: 3, i: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 443316935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 0*w**2 - 65\/3*w**3 + 18*w + 66. What is the first derivative of x(s) wrt s?\nAnswer: -130*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160 + 160 + 70*s)*(2*s + 2*s - 3*s).\nAnswer: 70*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)\/n)\/n**(1\/20))**10 assuming n is positive.\nAnswer: n**(-161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z**3 + z**2 - 2*z + 1. Let k be (3\/(-6))\/((-1)\/(-4)). Let r be c(k). Suppose u = 3*i - r - 127, -76 = -i + 5*u. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -55*i + 148. Give n(7).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 15*r - 39. Is d(11) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65010 divided by -10835.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:23 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = b + 7, -3*l + 3*b = -4 - 8. Put -3, l, 3, 0 in ascending order.\nAnswer: -3, 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/8 and 2274\/560 + -1 - 12\/42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 68*b - 3966. Give j(63).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*h + 264*h - 2 = -2*s, -2*h - 3 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x = -524. Let t = x - -135. Solve -4*c - t*k = -4, 20 = -5*c + k - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 1\/7, 0.932?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48271.27006 - -48272. Let s = m - 0.73. What is s rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2*j**3\/3 - 2*j**2 + 3*j - 7. Is v(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4605 + 14156. What are the prime factors of f?\nAnswer: 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -33*k - 170. Let i be n(-26). What is the greatest common factor of 43 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1 - 3*r**2 + 1. Let f(w) = 51*w - 1. Let q(s) = -505*s + 10. Let n(t) = 10*f(t) + q(t). Calculate y(n(b)).\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20)*-2)\/((-1467)\/(-1630))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -15. Calculate the remainder when ((-4)\/6)\/((-4)\/222) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48529\/950 - 1308\/25. Find the common denominator of 1220\/(-24)*(-21)\/350 and t.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -75. Is 22 a factor of 176\/p*90\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123219 and 33?\nAnswer: 1355409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 2*h**4 + h**4 + (-h - 5*h + 4*h)*(0*h**3 + 2*h**3 - 3*h**3) - 66*h**4 - 435*h**2 + 435*h**2 - 28 + 3*h + 28 + 3*h**4.\nAnswer: -59*h**4 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 7, w: 9}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231.1 - 2.4. Let x = -233 - r. Which is the fourth smallest value? (a) 5 (b) x (c) 4\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47377394 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 15. Suppose -5*l + 3*g + 3 = 0, -g = -u*l - 1 + 2. Suppose 0 + l*z + 1\/3*z**2 = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1361\/8 - -681\/4. What is the second smallest value in 2\/3, -3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 959848758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-541 - 257 + 1163)*(-3 + 3 + 2*l) to the form i + x*l and give x.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:12 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15521452, 31042891, 46564330, 62085769?\nAnswer: 77607208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f. Let d be (-2)\/6*(4 + 2). Let x be v(d). Suppose -2*n = -4*n + x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63812)\/(-3741) + -17)\/((-50)\/12).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)*z\/z**(-6)*z\/(z\/(z**(-3\/2)\/z))*z\/((z**(-2\/13)\/z)\/z*z)*(z\/(z\/(z*z\/z**(-5\/4)))*z**(-4))**(1\/19) assuming z is positive.\nAnswer: z**(3571\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Suppose -8 = 4*j + 12, -a - j = 3. Let w(h) = -3*h + 7*h + a*h. What is w(m(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*o**4 + 4355*o**3 + 60095*o**2 + 219405*o - 341550 = 0. Calculate o.\nAnswer: -23, -15, -9, 22\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 1\/5 (c) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -178 - -180. Let y(o) = 21*o**2 - 9*o**h - 14*o**2. Let k(i) be the first derivative of -10*i**3 + 10. Give y(k(u)).\nAnswer: -1800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -119, -373, -975, -2069, -3799, -6309?\nAnswer: -9743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -37?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) 0.4 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 16. Suppose -4*b - o*n + 4 = 8, 0 = -3*b - 5*n - 14. Suppose b*u + 18 - 86 = 0. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p. Let m(v) = 5*v. Let k(b) = 7*h(b) + 6*m(b). Let u(c) = 4*c**2 + 2*c. Let q(d) = -d**2 - d. Let n(o) = 4*q(o) + 2*u(o). Calculate n(k(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38556288 divided by -8?\nAnswer: -4819536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 12:34 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(156\/39*(-3)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1373, -1342, -1313, -1286?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -4*q**3\/15 - 148*q**2\/5 - 5476*q\/5 + 50. Factor p(i).\nAnswer: -4*(i + 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9900275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 22 + 6*s - 9 + s + 5*s as j + i*s and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1721 - 1824) + (-7 - -1) + -14?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16946, -3, 4, 3 in descending order.\nAnswer: 4, 3, -3, -4, -16946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/33 + -10\/11. Let j = -4 - -8. Suppose 0 = -j*f - 3 - 1. Do l and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 979863526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92234354*k**3 + 24657956 with respect to k.\nAnswer: -276703062*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102 or 304.64?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 5214?\nAnswer: -5210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**3 + 2*t**2 - t - 2. Let n(p) be the second derivative of 3*p**5\/10 + p**4\/4 - p**3\/3 - 3*p**2\/2 + 56*p. Let a = -84 - -80. Give a*n(k) + 6*d(k).\nAnswer: 6*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/20 - 2\/60*12. Is s smaller than -5\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*k**2 - 2*k - 32 wrt k.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-14)*(-5 + -2)*(-4 - -1). Let r(v) = -11*v**2 + 11*v - 11. Let y(s) = s - 1. Calculate u*y(b) + 3*r(b).\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293*x**6 - 142*x**2 + 79*x**6 + 119*x**6 wrt x?\nAnswer: 58920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 73*t**3 - 142*t**3 + 68*t**3 + 4*t**4 to the form s*t**2 + b*t**4 + c + v*t**3 + n*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 152*q**2 - 6068*q - 480.\nAnswer: 4*(q - 40)*(38*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -5264.\nAnswer: -5269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46173?\nAnswer: 3, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 7, 91, -17, -147?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015288*v - 1016400*v - 1112 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72960\/(-1230))\/32 + 2.\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 3\/(-2))\/2. Let c = -20331 - -20328. Put v, -2, 0.1, c in ascending order.\nAnswer: c, -2, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186 - -270. What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7060552 and 12616.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(240)*6)\/(sqrt(18)\/(sqrt(6) + sqrt(30)\/(sqrt(15)\/sqrt(3)))))**2 + 2.\nAnswer: 11522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 12*i + 2. Let d be m(12). Suppose -d*n = -45 - 271. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13561217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 156\/38 + 14\/(-133). Suppose -2*w - 696 = -t*l, l = 13*w - 16*w + 188. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kft when three letters picked without replacement from kmmtmssffstfsf?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.554 - -3.67. Let u = -4.884 - q. Put u, -2\/7, 1 in ascending order.\nAnswer: u, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.276 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 15. Let w be b(-13). Suppose -5*h + w*v = -915, -3*v - 20 = v. Let u = h + -104. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4 + -2)*10. Let j = 0 - t. Suppose 2*a + 2 = -4*b, -4*b = -j*a - 18 - 15. What is the smallest common multiple of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*(-80)\/1944*9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*y = y - 340, -y - 255 = -3*x. Let n(i) = i**3 - 23*i**2 + 93*i - 29. Let c be n(6). Let t = x + c. Is 0.07 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/204 and 107\/238?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-15 + -16 + 26).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 - 99. Suppose 3*o = -4*s + 98, 24 = 5*s - 3*o - x. Suppose 5 + s = z. Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 62 = -2*m, a - 82 = -3*m + 5*a. Let x be 14\/4 + 5\/10. What is the remainder when m is divided by (32\/(-6))\/(x\/(-12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -523428?\nAnswer: -523423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6127*c**2 - 15*c - 6. Let h(f) = f. Calculate h(s(t)).\nAnswer: -6127*t**2 - 15*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321 - 6*h + 4*h - 554 + 1805 + 0*h - 2*h + 0*h + 2 - 2*h - 2 + (-2*h - 3 + 3)*(2 - 2 + 2) + 5*h - 5*h - 2*h to c + u*h and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10742 divided by 4?\nAnswer: -5371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2907240 to the nearest 10000.\nAnswer: 2910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*m - a + 25, 0 = 5*m - 2072551*a + 2072555*a - 43 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*z + 47*z + 668. Let q(j) = -2*j - 11. Give q(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 - m**2 + m + 1. Let s be i(-1). Let x(n) = -n**2 + 3*n + 6. Let d be x(s). Suppose 2*j - d = -o - j, -3*j + 46 = 5*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4725.784 decades to millennia.\nAnswer: 47.25784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 22*z - 252. Let b be q(12). Solve b*f - 4 + 28 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104 or 103?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 2*z - 3*z. Is 11 a factor of (z\/(-4))\/(1\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/20 + 13*r**4\/4 - 40*r**3\/3 + 87*r**2\/2 + 2508*r. Calculate h(-41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 7*q**2 - 12*q - 6. Let b be p(-9). What is the greatest common divisor of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*v - 153*v = -3*z + 3, 6 = -2*z - 4*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203482107 to the nearest integer?\nAnswer: 14265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 4.02. Put -4\/3, -1, z, 2\/9 in ascending order.\nAnswer: -4\/3, -1, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -813 - 133?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/20 and 25\/256?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*s - 13*s. Let c(h) = -2*h - 34. Let x be c(s). Suppose 5*j + 4*y - 4 = 0, -4*j - 4*y + 12 = -3*y. Sort -2, j, x.\nAnswer: x, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -46. Suppose 4*z = 20 + q. Suppose -6*n - 9*n + 15 = 0. Solve 4*d - n = -z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -515 + 800. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.210175 - -0.212. Round x to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16*(3 - 2 - 2). Let c = 9 + i. Let z = c + 8. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 5*z + 5. Let m(b) = b**2 - 4. Determine 5*m(f) + 4*t(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10106 or -10107?\nAnswer: -10107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - 20*t - 6. Determine y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -24 (b) 7\/4 (c) 0.5 (d) -5.6 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/9 + 1676*d\/9 - 413402\/3 = 0.\nAnswer: -1311, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/(-8) + (-2)\/4. Solve 2*a + 0*a = l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160465160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(-20\/7)\/(w\/w**(-4)*w**(2\/5)) assuming w is positive.\nAnswer: w**(-164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 41. What is the remainder when j is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 11*b + 4. Let n(i) = 4*i**2 - 56*i + 20. Let p(d) = -16*h(d) + 3*n(d). Solve p(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -19)\/2 - (-17 - 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 306.3 - 306. Let l = -45 + 26. Let z = -4 - l. Which is the second smallest value? (a) t (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*s - 5*s - 5*z, 0 = 2*s + 4*z - 44. Let w(x) = 3*x**2 - 76*x - 32. Calculate the smallest common multiple of s and w(26).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 122. Let t(y) = y + 5. Let x be t(0). What is the nearest to -1 in l, x, 3\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**2)\/z*z))**37\/((z\/(z\/(z\/z**5)))\/z*z*z\/z**0)*(z**0\/z)**(2\/21)\/((z\/z**(2\/9))\/z**(-1\/12)) assuming z is positive.\nAnswer: z**(-18133\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.537 and -5.\nAnswer: -7.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 18, n: 2}. What is prob of picking 1 n and 3 u?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 318 (b) 0.27 (c) 2 (d) -15\/4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101\/96 - -629\/96. Let c(m) be the second derivative of 11*m + 2\/3*m**3 - b*m**2 + 0. Find the first derivative of c(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstystytttyss. Give prob of picking 1 t and 3 s.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Suppose 3*h + 3*t = 6*t, 0 = s*h + 3*t - 16. Suppose -17 = -h*m + 15. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*l - 121, 158*n = 156*n - 4*l + 172. Let v be ((-3)\/(-2))\/1*2. What is the greatest common divisor of v and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24072 + 25408. Calculate the greatest common factor of p and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 17900*z**3 - 7*z**2 - 5*z + 8. Let p be j(-7). Round p to the nearest one hundred thousand.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-155)\/(-93) - (-10)\/3. Suppose -4*r + 5*k = 10, -r + 5*r + o*k + 30 = 0. Sort 2, r, -42, -4 in increasing order.\nAnswer: -42, r, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*sqrt(112) + (sqrt(280)\/sqrt(5))\/sqrt(8).\nAnswer: -19*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 4*y**2 - y + 5. Let t be u(-3). Let i(h) = -4*h**3 + h**2 - 1. Let q be i(t). Solve -3*g = q*l + 1, -2*l + 7 = 4*g - g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 119*s + 66. Let q be i(0). Solve -6*w + 42 = q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 1966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/(f**(-1\/4)*f)*f))\/f))\/f**(-5)*(f**(2\/7)*f)\/(f\/((f**(-1)*f*f)\/f)))\/((f**1\/(f*(f*f**(2\/17))\/f*f))\/(f**4\/f*f**(-4\/7))) assuming f is positive.\nAnswer: f**(5275\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 5. Let d be u(-1). Let g be (0 - -4)\/(d\/(-1)). Factor 3\/5*b + 0 - 3\/5*b**g.\nAnswer: -3*b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -50. Let b = -26 + w. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/(-20)*((-300)\/7020)\/(10\/(-12)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o - 8. Let m be c(-4). Let u(w) = -w**3 + 13*w**2 - 6*w - 17. Is 15 a factor of u(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + -6 - (-314 + 280).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58077920?\nAnswer: 2, 5, 362987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-8) + -1)\/(-1))\/((87185\/(-35250))\/371)?\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -322, 1, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 50*g**2 - 14*g + 3. Let q be (-2)\/3 + (-429)\/(-117). Calculate the remainder when b(q) is divided by 133.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1318\/4 - 2*(-1)\/4. What is the greatest common factor of 60 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -436 - -9154\/21. Let q = -11.96 - -7.96. What is the fourth biggest value in q, -2, -4\/5, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3676 + -3676.4. Let t = -0.8 + -1.2. What is the closest to 1 in 1, t, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51837884 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/(-204) - 4\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - (2 + (-2 - -3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 468802 and 2390293?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66.1*-5.\nAnswer: 330.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 1, -4, -3.2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 17. Let w(p) = 3*p**2 - 5*p - 4. Let y(d) = d**2 - d - 1. Let z(v) = -w(v) + 6*y(v). Let m be z(j). Solve -o = -3*o + m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1791\/2 less than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 237959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8507 - 9015. Is -506 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -401115622?\nAnswer: 401115615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 212*s**2 - 18*s**2.\nAnswer: 194*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.606154 tonnes in nanograms?\nAnswer: 606154000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5930 - 2?\nAnswer: -5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15988, 15981, 15974?\n\"Answer: -7*q + 15995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -6*m + 10*m. What is the remainder when 47 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 115 = q, 4 = 5*q - 21. Let v = z + 27. Sort v, -5, -4 in descending order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - 110?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3299.\nAnswer: 1\/3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)\/l*l\/l**(-1\/6))**(-2) assuming l is positive.\nAnswer: l**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 - 64826*s**2 + 25726371150*s\/7 + 1519435923750\/7.\nAnswer: 2*(s - 113475)**2*(s + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 903, 6 in decreasing order.\nAnswer: 903, 6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(38) + sqrt(5472) + sqrt(5472)*1))\/(sqrt(24)\/sqrt(3)*-2).\nAnswer: 75*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1866 divided by -622\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3777*z**3 - 945*z**2 + 15*z - 384?\nAnswer: -22662*z - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/21 + 6\/63*-7\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6444810580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**3\/3 + n - 4078. Suppose -2*c - 3*r = 18, -c + 4*r + 1 = 4*c. Let b(g) = 2*g**2 - g + 1. Determine c*b(u) + 5*s(u).\nAnswer: -u**2 + 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 850 and 12818.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 25*t + 2484 = 0. Let u = t - 278. Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 38 = 8. Suppose t + 4*y - 36 = y, 4 = 4*y. Let g = t - 22. What is the remainder when g is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.24675 + -92852.\nAnswer: -92814.75325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 = 5*z + 6, -4*z - 4*i = -28. Suppose z*p = -2*w + 32, -104 + 21 = -5*p - 2*w. Solve 3*l + 2*r = -p, -13 = 2*l - r + 4*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1829258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-10 - (10 - (15 - 3)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 7. Suppose -7*g + 416 = 25*g. What is the remainder when g is divided by y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -478, 5 in increasing order.\nAnswer: -478, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/2 - 39*k**2\/2 - 2*k + 2. Give x(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -907 + 222.528561?\nAnswer: -684.471439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 28*a**3 + a**2 + 2*a + 2. Let n(o) = o + 1. Let r = -8950 + 8951. Determine r*m(y) - 2*n(y).\nAnswer: 28*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577821561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -103433444?\nAnswer: 103434004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**4 - 5 + 8*z**4 + 6 wrt z.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7554305881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1959*1.9647\nAnswer: 0.38488473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y. Let x(k) = 150*k**2. Give x(d(m)).\nAnswer: 3750*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*6\/(-4). Let i(n) = -n**2 - 18*n + 2. Let r be i(-20). What are the prime factors of -3 - r\/(c + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {v: 2, n: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(0 + 0 + 2*y**3) - 2*y**3 - 2*y**3 + 3*y**3 - 3*y**3 + 4*y**3 - 3*y**3)*(2*y - 2 + 2).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 + 2*y**5 - 3*y**3 - 2*y**5 + 0 + 0 + (6*y**5 - 2*y**5 - 2*y**5)*(2 - 2 - 2) + 3*y**5 - 6*y**5 - 9*y**5.\nAnswer: -16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -2 (b) 0.06 (c) -1.6 (d) 0.2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 372 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -55. Let l be 16\/10 + (-8)\/100*p. Suppose -o - 101 = -w + 57, -4*w + 656 = l*o. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23055.4287 - -334.42822. Let j = b - -22701. Let a = j + 20. Round a to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-3)*-1*(-9)\/(-27). Suppose 0*f = f + 4*d - 58, 0 = -j*d + 2. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30771\/4315 not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*f = 2*f + 8, 4*f - 8 = 0. Suppose -3*z - s + 0 = -2*a, 0 = 2*z - 4*a + 14. Suppose -13 = -i + z. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1. Let w(r) = -r - 2. Let m(s) = -3*p(s) + 2*w(s). Let z be 3\/4*2*-2. Let j be m(z). Solve 0 = b - 0*b + j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqii when four letters picked without replacement from {w: 2, n: 5, i: 3, b: 7, p: 1, q: 2}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 16, 56, 132, 256?\n\"Answer: 2*p**3 + 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(-1 - 1 + 4)*(-2 + 2 + 2)*(155*n**3 - 48*n**3 + 101*n**3) + (5 - 5 - n)*(0*n**2 + 3*n**2 - n**2) as w*n**3 + q*n + x + y*n**2 and give w.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -5, 146?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 394\/(-12) + (-1)\/6. Let o be 6\/f - 57\/(-11). What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {o: 2, s: 3, e: 1, c: 2, z: 2, u: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11 = 2. Let x(p) = 8*p - 7*p - 14*p - v - 4. Let j(d) = -6*d - 6. Determine -9*j(u) + 4*x(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2975 - 1069 = -4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 11 = 5*g + 13, 20 = -5*g + 5*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 divided by -7?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)*h**12)\/(((h**(1\/3)*h)\/h)\/(h**(-8)*h)))**(-1\/18) assuming h is positive.\nAnswer: h**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -16, -0.3, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/5)\/(8\/560). Let m be -3 - (f\/4 - -3). Solve -5*v + 2*n + 8 = -0, -m = -n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 50. Let y = 6 + -6.2. Which is greater: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 106*s - 89*s + 0.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 143.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 698905223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 22. Let o be (4 - (1 - x)) + -3. Suppose 5*w = -o*v + 2*v - 1569, 2366 = 3*v - 5*w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7661 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44000 - 3388054\/77. Calculate the common denominator of -16\/121 and y.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-84)*-3 - -3*160\/(-504).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16071, -31550, -47029?\n\"Answer: -15479*y - 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*k + 33 - 1, 0 = -2*d - 4*k + 24. Let z(o) = -4 + 2*o + 2 + 3 - 6. List the prime factors of z(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 282*f - 281*f - 11 = 0, -2*g + 3*f = 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000085035 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t**2 + 4360 + 7*t - 4366 + 5*t in the form r + o*t + x*t**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6033, -6042, -6051?\nAnswer: -6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 266 = 24. Let w(q) = -7*q**2 + 5*q - 5. Let h(c) = -22*c**2 + 16*c - 16. What is y*h(f) - 16*w(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:23 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6633029, -13266088, -19899147, -26532206, -33165265?\n\"Answer: -6633059*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470740 a multiple of 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w - 1 - w**3 - w**2 + 7*w**2. What is c(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -3, -1, 5 in increasing order.\nAnswer: -60, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m + 7. Let g(y) = -146*y + 2043. Let x be g(14). Determine h(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 h, and 1 j when four letters picked without replacement from jyyjjjffhyyfhfyyjyy?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -17161*u**4\/5 - 239468*u**3\/5 + 560147*u**2\/5 - 25278*u\/5 + 288\/5 = 0.\nAnswer: -16, 3\/131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*l - 15, -2*y = -3*l - l + 6. Let t = 270 - 267. Sort -3, l, -4, t.\nAnswer: -4, -3, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*u + 62, o - 2*u - 224 = -3*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-4)\/15)*(-344)\/(-258). Let n = 13 - q. Calculate the highest common divisor of 14 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2896379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f**3)*(7 + 3 + 3) + (-2 - f**2 + 2)*(-1 - f + 1) - 3*f**3 + f**3 + 3*f**3 + (-f + 2*f + 0*f)*(1 + 2*f**2 - 1).\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8302281 minutes?\nAnswer: 49813686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37 * -776\nAnswer: 28712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147502997*n**4 + 204319889*n**2 wrt n.\nAnswer: -3540071928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(144) - (sqrt(144) + -1*sqrt(144)*-6))\/((sqrt(4)*2)\/sqrt(2) - -1*sqrt(6)\/sqrt(3)))**2*1.\nAnswer: 288*sqrt(2) + 1752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 20052303\/2 and 10026152 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 3)*(0*s + 0*s - s)*(-30*s**3 + 0*s**3 + 6*s**3) in the form v + l*s**3 + m*s + y*s**4 + t*s**2 and give y.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 10, 17, 14, -5, -46, -115, -218?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 7*o**2 + 0*o**3 + 4 + 210429*o - 210430*o. What is x(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 18*n**2 - 42*n - 7. Let w be d(-5). Solve 0 = 7*m - 18 - w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f + 106*f + 50*f - 120.\nAnswer: 100*f - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 47*f + 56. What are the prime factors of k(13)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -143, -408, -873, -1592, -2619?\nAnswer: -4008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/4)\/(-1)*480\/75. Calculate the greatest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 28 - 34 = 0. Let g(f) = -f**2 + 4*f + 24. Let k be g(x). Let n be (-27)\/((-1)\/(2*2)). Calculate the highest common factor of n and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/7 - 76*g**4\/7 + 334*g**3\/7 - 92*g**2\/7 - 1368*g\/7 + 1584\/7 = 0.\nAnswer: -2, 2, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -36*l. Let q be (21\/252)\/((-8)\/(-96)). Give x(q).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2327 is divided by 1043?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.496, 0.1, 0.5 in increasing order.\nAnswer: 0.1, 0.5, 1.496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -57, -130, -241, -396?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/2 + 6 + 89488\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 2:08 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10062 - -10046. Which is smaller: u or 101?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 2450 + 4*m - 4*m + 3117.\nAnswer: -m + 5567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1531554km to centimeters.\nAnswer: 15315.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-6) + (-1)\/(-2). Is (211\/t)\/((-1)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 822 and 205974.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267110592 to the power of 1\/2, to the nearest integer?\nAnswer: 47614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 + 0*u**2 - u**2 + (2*u + 0*u - 3*u)*(3 - 2*u - 3) - 43*u + 43*u + 108*u**2 - 3*u**2 + 0*u**2 - 3*u**2.\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 10:09 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 194 - 49. Let y be 1\/(-2 - (-349)\/175). Let n = y - f. Round n to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 - 68*w**2 + 7*w**3 - 53*w**2 + 2*w**3 - 14 + 139*w**2.\nAnswer: 2*w**3 + 18*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -2*p**7\/105 + p**6\/30 + 4*p**5\/15 - 2*p**4\/3 - 34*p**2. Factor t(j).\nAnswer: -4*j*(j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 48*w**2 + 11582*w - 277988. Give n(24).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443799000 rounded to the nearest 1000000?\nAnswer: 444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*s**3 + 218*o**2*s**2 + 2*s**3 - 199*s**2 wrt o.\nAnswer: 4*o*s**3 + 436*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*0.03.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8815026?\nAnswer: 2, 3, 11, 23, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01, -4, 26?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:59 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**4 - 2*f**4 - f**4)*(1 + 1 - 3) - 23932*f**4 + 0*f**2 - 17033*f**4 + 0*f**2 - 7484*f**4.\nAnswer: -48450*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:06 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-14))\/(24\/(-84)))\/(4\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693006813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nool when four letters picked without replacement from ooonllfflfzoozloofo?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 5. Let h(z) = -z**3 - 2*z**2 - 2*z + 1. Let p be h(-2). Let w be t(p). Suppose 0 = 4*f - 34 + w. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h**2 + 5*h + 2. Let j be d(-3). Let b = 13 + -9. Suppose b*f - j*f + 1 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, 0.5, 100, 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k - 0*k. Let f = -65 - -271. Let i = f + -209. Which is the nearest to 0.1? (a) i (b) -3\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + z**2 - 3*z - 9. What is v(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11147\/20 - 557. Calculate the common denominator of i and -133\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y - 1. Let d be r(-2). Let c = -5 - d. Find the second derivative of -w**3 - 7*w - c*w**3 + 3*w wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1990.01 + -1990. Let h be 3 + ((-12)\/(-3) - 2). Put -1\/8, 2, h, a in descending order.\nAnswer: h, 2, a, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z. Let f(m) = 2*m + 1. Determine 5*f(s) + 6*u(s).\nAnswer: -8*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 1. Let s(n) = 2*n + 1. Let o be 20\/50 + 16\/10. Let q(m) = 6 + 4 + m - 5 + 5. Let h be q(-7). Calculate h*s(z) + o*b(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**6\/120 + 3*t**5\/40 - t**4\/4 + 13*t**3\/3 - 4. Let j(u) be the third derivative of y(u). Factor j(i).\nAnswer: -3*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -67, -100, -133?\n\"Answer: -33*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -138*v - 9380. Let g be b(-68). Let d = -5.7 - -6. What is the third biggest value in d, g, 1, 2\/79?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 0.9112?\nAnswer: 1.1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*w = 26, -28 = -8*p + 3*p + w. What is the closest to 0.1 in p, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1129006000 to the nearest 1000000.\nAnswer: -1129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*h - 30. Suppose -h*l = 3 + 3. Let z(p) = -17*p - 5. Let a be z(l). Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 + -4. Suppose -246 = -b + q. List the prime factors of b.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*i + 13. Let d(t) = t**3 - 5*t**2 + 3*t + 3. Let c be d(i). Is c less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0, -0.2, 31, -444?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91102\/25 + 3644. Let w be 2\/9 + 52\/9. Suppose 3*c + w*n + 3 = 4*n, 3*c = n + 6. Is c >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8651096700 to the nearest one million.\nAnswer: -8651000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7436, -14732, -22030, -29330?\n\"Answer: -f**2 - 7293*f - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 178048.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 8*y**2 - 8*y - 5. Determine l(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131 + -224412?\nAnswer: -231043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n + 53. Suppose 0 = 8*h - 11*h. What is the tens digit of g(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 252? (a) -4 (b) -10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**2 - 6*g + 3. Let v be m(-3). Let w = v - -41. Let f(b) = -2*b + 4. Let d be f(4). Sort 4, w, d in ascending order.\nAnswer: d, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -366455 in 1, -5, 0.5, 2\/7, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115448854 divided by -2?\nAnswer: -57724427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 774865 and 774866 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 - -0.9. Let l be (-1 + 12)*1 + 2. Which is the nearest to r? (a) l (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a + 12*a + 182 = -19*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 + 904*f**4 - 58672*f**3 + 869472*f**2 - 4852224*f + 9345024 = 0. What is f?\nAnswer: 6, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*q + 2*q. Let r = -5 + q. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 182393, -16, 3, -1 in increasing order.\nAnswer: -16, -8, -1, 3, 182393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 - 52*l**3 - 31*l**3 + 2 + 19*l**3 - 18*l**3 to the form u + d*l + a*l**2 + r*l**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9 + 3*n**2 - 2*n**2 + 7*n + 0*n**2. What is the units digit of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1 = -s - 3, s - 2 = k. Suppose 4*a + 3057 = -5*i, 0*i - 2*a = k*i + 1222. Round i to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, d: 11, f: 2, a: 2}. Give prob of picking 2 r and 2 d.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 191*h**3 + 5*h.\nAnswer: -191*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 3*s - s)*(1 - 1 - 2) + s - 6*s + 4*s - 2*s + 2*s + s - 1106 + 1106 + 891*s.\nAnswer: 887*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 5. Let r be 302\/3 - ((-15)\/(-9))\/(-5). Suppose -5*i = r - 126. What is the remainder when i is divided by c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*o + 4*o - 303 = 0, 130 = 2*c + o. Is 63 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64814 and 12.\nAnswer: 388884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 + 5*k + 3. Let i be v(-5). Let t be ((-3)\/(-38))\/((-18)\/24). Let o = 1 - 0.5. What is the biggest value in t, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13558189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*l - 6, -437*l = -442*l - 4*r - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l**4 - 1816*l**2 - 7 + 1816*l**2)*(-2 + 2 + 2) + (-1 - 4*l**3 + 1)*(3 - 3 - 3*l) to the form b*l**4 + q*l**2 + w*l + d*l**3 + p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 1, a: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153428634*o**3 - 36*o - 347129 wrt o?\nAnswer: -920571804*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*a - p, 5*p = -4*a - 0*a + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166971 is divided by 1091.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 1171722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngssbgbtsgbbb. What is prob of sequence gtng?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167311 + -3?\nAnswer: 167308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b06 - 7?\nAnswer: -1b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111736 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 28 + 16. Suppose -3*l + 1 + 0 = -k, 16 = -2*k - l. Let o = k + w. Solve -o*s - 4*u - 6 = -s, 2*u - 10 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3930 + 2*c - 744 - 8*c - 745 - 2441.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b**2 + 23*b + 186. List the prime factors of w(-13).\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928 divided by -4?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5 + (6 - 3)). Is (-318 + -3)*1\/s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/18 + (-45)\/(-6). Let v(z) = -z**2 + 2*z + 27. Let m be v(w). What are the prime factors of ((-6)\/(-7))\/((-1)\/m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523 + 2*t - 192 - t + 316.\nAnswer: t + 647","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/105*(-15)\/(-2). Let i be -15 - -16 - (1 + -5). Suppose -7 = -i*n + d. Solve m + 3 = n*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9742*y - 295 + 305 - 5*y**2 + 9726*y as c*y**2 + d + z*y and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v + 561 - 462 + 7*v + v**2.\nAnswer: v**2 - 7*v + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Let u = v + 2. Suppose -u*o = -o - 24. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 15. Suppose 0 = 5*w + 2*w. Solve w*r + 4*l = -n*r + 11, 2*r - 3*l + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 1\/5, 2\/17, -4.\nAnswer: -4, -4\/9, 2\/17, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 + 1. Suppose -5*n = -2*g - 17, -g - 2*g + 5*n - 18 = 0. Determine p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + 8*u**3 + 3*u**2 - u**2 - 3*u + (0*u**2 + 4*u**2 - 2*u**2)*(0*u + 0*u + 2*u).\nAnswer: 8*u**3 + 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*a, 4*t + 73 = -5*a - 72. Let l = t + 303. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 601 - 80. Let f = a - 520.999999742. Round f to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 71090*r - 1279579. Determine k(18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*n + 0*n + 329 = 0, 0 = -5*l - 5*n - 455. Let z be -2 - -3 - 0 - l. Let t = z - 52. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 c when three letters picked without replacement from rmcc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589305.\nAnswer: 3, 5, 17, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = q + 54. Solve -2*x = x - q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 5. Let q be 8 + (-21)\/3 + 3. Let n(j) = 21*j - 27*j - q + 11*j - 7. Determine -3*n(r) + 7*p(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/3 - 10613621*s**2 = 0.\nAnswer: 0, 31840863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275754966.\nAnswer: 2, 3, 271, 169591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 49.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291723 divided by 2.\nAnswer: -291723\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:47 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-1064))\/((1\/((-2079)\/12))\/(1990\/(-8955)))?\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201414331.\nAnswer: 13, 31, 96167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*c - 19 = o, 4*o = -5*c - 5. Suppose 4*p = -0*p. Sort o, p, 4 in decreasing order.\nAnswer: 4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-20)\/g**(-2\/25)*g*g\/(g**(-5)*g)*g\/g**(-1\/20))**(3\/22) assuming g is positive.\nAnswer: g**(-351\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5104 times 21.72?\nAnswer: 315.165888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46\/5 of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 469474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pprppppprppppprprp?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5)*2*2.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let i be (2\/3)\/(10\/15). Suppose -41*o + 53 = 12*o. Let h(q) = i - o + 10*q - 30*q. Determine w(h(g)).\nAnswer: 800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, 0, 2?\n\"Answer: 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34783296 divided by 6\nAnswer: -5797216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84840 = 332*o - 312*o. Is 42 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -m - 14, -30 = -5*f - m + 4*m. Let p(a) = -2 + 9*a**f + 11*a**2 - 3 - 6. Let g(h) = 4*h**2 - 5 - h**3 + 1 + 4*h**3. Calculate -11*g(x) + 4*p(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 + -40. Suppose -767 = -b - a. Suppose -2*d = -3*d - r + 133, -5*d + b = r. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2. Let b(d) = -d**2 + d - 1. Let t(n) = -n**2 - 3*n + 3. Let g(h) = -3*b(h) - t(h). Calculate v(g(r)).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 28 = a - 0*a, a = -3*b - 12. Find r, given that r**2 - a*r - r**5 + 6*r**4 + 6*r - 2*r**5 - 7*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 2*l - 3. Suppose -a = -u - 55, -3*u = -6*a + a + 285. Calculate the remainder when a is divided by c(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 + 257 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 558.028972 + -558. Round u to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20793227 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 1264, 0.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 53796 divided by -4\nAnswer: -13449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 235*s**2 + 232*s**4 - 475*s**2 + 3*s**3 + 242*s**2 to the form h*s**4 + q*s + u*s**2 + d*s**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(2 - 2 - p)*(2*p - 4 + 4 - 8*p + 6 + 53 + 23 + (1 + 3 - 6)*(0*p + 0*p - 2*p) - 2*p + 1 - 1) to the form x*p**2 + s*p + j and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2011*w + 150. What is the units digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/9 - v**3\/9 - v**2\/9 + v\/9 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -0.7, -1, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13464 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*d**2*t**3 + 2*d**2 + 2*d*t**2 - 2*t**3 + 3*t**2 wrt t?\nAnswer: 234*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-118)\/(-16))\/1*(-124)\/(-279) and 65\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 43*a**3 - 6*a**2 + 13*a - 6. Let z(f) = -f**3 - f**2 - 1. Give -q(b) + 6*z(b).\nAnswer: -49*b**3 - 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -8. What is the remainder when ((-29)\/2)\/(z\/12) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*y**4 - 523*y**3 - 25*y + 2 + 523*y**3 wrt y?\nAnswer: -228*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.101 - 37.101. Let n = d + 36. Which is the nearest to n? (a) 0.1 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -119\/8 - -365\/24. Factor 0 - 8\/3*g**2 + q*g**3 + 16\/3*g.\nAnswer: g*(g - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7974006 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 0.4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 - 11672*x**4 - 34058893*x**3 + 35014*x**2 + 102153344*x - 68117792 = 0. What is x?\nAnswer: -5836, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 20. Find the common denominator of -111\/10 and 2\/h + (-123)\/24.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429751609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.138 and 0.04.\nAnswer: -0.00552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*g + 131*g + 11900 = -358*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.98, -2\/15, -0.6, -8.\nAnswer: -17.98, -8, -0.6, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.044279 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = -4*j + 2, 2*d = 4*j - 10. Suppose -5*p + 20 = -4*c, -c + 5*p = -j*c + 20. Sort -5, c, 3 in descending order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 23. Let l be x(9). Suppose -272 = -4*r + l*u, 2*r - 3*u + 7*u = 112. What is the lowest common multiple of 8 and r?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1738 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -20*k - 18*k + 3*k**2 + 29*k + 9*k. Let n(z) = 3*z**2 - 38*z. Give n(y(c)).\nAnswer: 27*c**4 - 114*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300342 or 2?\nAnswer: 300342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4 and -53\/21924?\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-101)\/((-3434)\/68))\/((-8)\/(-22))*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 4*g + 4*l - 960, 2*g = l + 681. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -30755*s - 461331. Give c(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28 + (-1 - -9))*(-10)\/(-8). Let j = 21 + w. Sort j, 0.5, -22 in ascending order.\nAnswer: -22, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8288, -33108, -74480, -132404, -206880, -297908, -405488?\nAnswer: -529620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799413 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79 - -14) + -59 + 5.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 68178*p - 5441440.\nAnswer: -2*(p - 34009)*(p - 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-15)*s)\/(s*(s**4*s)\/s) assuming s is positive.\nAnswer: s**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -786, -2, 36 in ascending order.\nAnswer: -786, -2, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 1. Suppose -4*w + 20 = -j*w. What is the biggest value in -1, w, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436\/3*l + 1\/3*l**2 + 0 = 0.\nAnswer: -436, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/14)\/1*10\/(-75)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*j = -231, 4*j = 9*j + 25. Suppose -r = -4*f + 4*c, -7 - 50 = -4*f + c. Solve a - f = 5*x, 3*a = -x - 2*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9633 and 494.\nAnswer: 19266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 + 245 = 86*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185366865 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + 11\/(-4). Let q(y) = -y + 22. Let r be q(6). Let x be (2\/5)\/(r\/(-100)). Which is bigger: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {z: 3, s: 4, d: 1, b: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 118935.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-4 - -18) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + (3 - (-11 + 8 + 9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 6}. What is prob of picking 2 w and 2 g?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g = 5*h + 62*g - 775, 0 = 4*h + 2*g - 636. What is the remainder when 780 is divided by h?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00125764 to 6 dps.\nAnswer: -0.001258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35 + -41 + (-43)\/(-6). Let i(v) be the first derivative of 9\/4*v**2 - t*v**3 + 2 - v. Factor i(s).\nAnswer: -(s - 1)*(7*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -1 - (-6 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7666 (b) 7 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 248446, -3\/5, 0.026, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 137*c + 45. Give n(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/4 + 311*i**3\/6 + 2*i + 30. What is the second derivative of y(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 1 - 2 + 1.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552516 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345 - 347) + (-13 - (-2 - -3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22105144 (base 6) to base 13.\nAnswer: 1a24a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -382416*j - 959221?\nAnswer: -382416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-10)\/1)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 12*g + 41. Let s be u(7). Let o be ((-8)\/12)\/(2\/(-9)). What is the third derivative of -s*r**2 - 14*r**3 + 20*r**4 + 14*r**o wrt r?\nAnswer: 480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -2\/5*p**2 + 0*p + 0*p**4 - 2\/25*p**5 + 2\/5*p**3 - 2. What is u in r(u) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {g: 2, n: 1, m: 4, h: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/12 - l**3\/6 + 3*l**2\/2 + l. Let i be m(0). Suppose t + 38 = 2*t + i*o, 5*o - 5 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-25))**30*z**(4\/7)\/(z*z*z*z**(2\/19)))**(-1\/3) assuming z is positive.\nAnswer: z**(100087\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -28. Let h = q - -13. Let v = h - 19. Calculate the remainder when 7 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -0.3, 1, -3.86?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 2*y. Let f(j) = j**2 + 20*j + 1. Give f(s) - 2*z(s).\nAnswer: -s**2 + 16*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/36 - 1586*y**3\/9 + 1257698*y**2\/3 - 5286*y. Factor v(i).\nAnswer: (i - 1586)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 0 + (4 + 0 - 3)*(4 - 2 + 0))*(-3 + 3*a + 3) + (4 - 2 + 0)*(-5*a - 13 - 10*a + 13*a) in the form l*a + t and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -4, 3\/2 in ascending order.\nAnswer: -4, 3\/2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 2*t**2 - 7*t - 10. Let p be r(-3). Let s be p - (5\/20 + 2). Which is the closest to s? (a) 2\/15 (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2398560 divided by 25248\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 - 62*y**2\/3 - 331*y\/3 - 268\/3 = 0. Calculate y.\nAnswer: -4, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 601141833 to the power of 1\/3, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7512856.\nAnswer: 2, 13, 29, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(931) + -2 + sqrt(931)*-2 + sqrt(931)) + 4 + (1*sqrt(931) - sqrt(931) - sqrt(931)) + -1*(sqrt(931) + 1))**2.\nAnswer: 28*sqrt(19) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1207 - -1202. Put 22, -16, b in decreasing order.\nAnswer: 22, b, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1447557764 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -928830 by -309610.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(36\/(-8)))\/(3936\/1045008)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 2. Let k be 90\/v*6\/(-27). Put k, -7, 3\/4 in descending order.\nAnswer: k, 3\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/2 - -3)*0. Suppose 3*x - 2*x - 3500 = g. What is x rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 10. Let l be x(10). Suppose 2 = 29*u - l*u. Let i = -4 - -3. Sort i, u, 13.\nAnswer: u, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31948 divided by -163.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z**2 - 61*z + 15. What is v(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*p = -1000, 4*p = 3*u - 816 + 66. Suppose -8 = -b + t, -6*t - 10 = b - t. What is the highest common factor of b and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.17 - -98.83. Let q = f - 100.3. Sort -5, q, -19 in descending order.\nAnswer: q, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 26 = -3*q, -y - 73*q = -68*q + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 7*s**2 + 16*s - 28. Let m be l(5). Solve -b + 5*b - r = 21, m*b + 2*r = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from hwbissp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14219983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:57 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9555155 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2051 + 2051.00000795. What is x rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -407, -401, -383, -347, -287, -197, -71?\n\"Answer: z**3 - z - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2. Let x(r) = -r**2 + 4034. Give v(x(j)).\nAnswer: j**4 - 8068*j**2 + 16273156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -477.4849569 rounded to two dps?\nAnswer: -477.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - -37 - (-9 + -8)) + (1 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (61884\/189 - -16) + (-6)\/14 is divided by 109.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**3 - 1264*l**2 - 8*l + 4. Let h(f) = 12*f**3 - 1265*f**2 - 6*f + 3. Calculate 4*h(g) - 3*i(g).\nAnswer: -3*g**3 - 1268*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 1452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*j - 25 = 0, -4*j = 3*a - 9*j - 108. Let o be 44 + 1*(3 + -2). Suppose z = -5, f - 2*z = 6*f - o. Calculate the remainder when a is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 20*k + 95. Give b(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzkyllmyyzymm. What is prob of picking 1 k and 1 l?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -307 - -2459\/8. Which is the closest to -2\/7? (a) -0.5 (b) 2\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -120*k. Let s(g) = 25*g**2 + g - 33. What is s(h(m))?\nAnswer: 360000*m**2 - 120*m - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*p + 3*s, 308*s - 616*s = 4*p - 309*s + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -208420 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19092937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 295 = 121*h - 705 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 5:26 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11156637*c**2 + 2*c - 39963047.\nAnswer: 22313274*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*x = -4*x - 84300002, -112399998 = 4*n - 2*x. Round n to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 320 = 580. Calculate the least common multiple of 9 and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -790, -726, -622, -478, -294, -70, 194?\n\"Answer: 20*y**2 + 4*y - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y**0*y**(-4)\/y**(-2\/5))**(-2\/41))**(2\/47) assuming y is positive.\nAnswer: y**(92\/9635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 747, 1493, 2239, 2985, 3731, 4477?\nAnswer: 5223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9507 - 9461. Solve 12*b + 50 = -u for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 - 9*v - 6. Let s be y(6). Does 12 divide (-15)\/(-90) + 9382\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -363, -377, -395, -417, -443?\n\"Answer: -2*v**2 - 8*v - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8655 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2143 and 6428\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254393.\nAnswer: 71, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 12\/1)\/(16\/(-16)). Let s = 15 - w. Is 2\/2 - (-7 - s) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 9*r + 2 - 9)*(-2*r + 2*r - 2*r**2).\nAnswer: 18*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 710 or 729?\nAnswer: 710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17886303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/9 - 20132*s**2\/3 - 603560*s\/9.\nAnswer: -4*s*(s + 10)*(s + 15089)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -1\/3*t**3 + 0*t + 2 - 2*t**2. Let j be k(-3). Solve 2*m = j*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361273 + -0.22?\nAnswer: -361273.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/12*(-309)\/(-1545)*(-138)\/2\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -177 + 172 + (3 - 44 - -5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2)\/x)*x)**23*(x*x**(1\/5)\/x*x)\/x**(2\/9) assuming x is positive.\nAnswer: x**(4184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l + 10 = 0. Let w = l + 10. Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/3))\/(r\/(r**(-7)*r)))**27 assuming r is positive.\nAnswer: r**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28846*m - 333*m**3 + 28846*m)*(3*m - m + 2*m**2 - m).\nAnswer: -666*m**5 - 333*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6954 + -1728. Round d to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -22*s + 21*s - 3*i, -2*s - 31 = -5*i. Let z be 1077\/(-22)*20\/6. Let f = z + 163. What is the closest to 3 in f, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*s - 75*s - 34 = -g, 3*s = -2*g - 23 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3973\/18 - 225. Let t be 28\/(-12)*(-1)\/(6\/36). Find the common denominator of 5761\/(-1176) - 2\/t and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*b - 2*b**2 + 167*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -2*x, 0*x - 2*d - 6 = -4*x. Solve 0 = -4*j - x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -2\/5*l**3 + 5*l**2 - 1\/100*l**5 - 1\/10*l**4 + 0*l + 0. Solve k(j) = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l - 33. Let d(m) = m**2 + 6*m - 11. Let t be d(-6). What are the prime factors of f(t)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 12160.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/6)*v*v)\/(v*v\/(v*v**4)))\/(((v*v*v*v**(-3))\/v)\/(v**3\/v)) assuming v is positive.\nAnswer: v**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18036 = -3*r + 6*r + 5*q, 2*q + 12024 = -2*r. Let n be (-12 - r)\/((-2)\/(-340)). Round n to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 8:13 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - g. Let q be n(-5). Suppose -5 = 2*j - j, 0 = 4*v + q*j + 21. Which is smaller: -1\/4 or v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/37905 and 79\/45486?\nAnswer: 227430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*a - 175 - 285 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*w = 2*w - 3, -5*j - 12 = 4*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15303620 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 - 5717.9152996.\nAnswer: -5598.9152996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 - 19)*3\/(-4). Suppose -4*i + 23 = -5*c, -21 = -d*i + 3*c + 2*c. Solve i*h + 5 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f - 9*f + 1131 = 50*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011 (base 3) in base 13?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74416?\nAnswer: 2, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(156)\/sqrt(6))\/sqrt(2) + sqrt(468) + (0 + sqrt(468))*-4)**2.\nAnswer: -34*sqrt(13) + 3758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38566 by -515.\nAnswer: 38566\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.6 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.7 and 44867.6347.\nAnswer: 44865.9347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-95) - ((-200)\/99 + 2964\/3705).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 7*c**4 + 2 + 2*c**2 - 7 - c**4 - 4*c**4. Find the second derivative of u(y) wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 41746\/12*5\/(75\/10). Let c = f + -2317. Factor 0 + c*g**2 - 50\/9*g**3 - 2\/9*g.\nAnswer: -2*g*(5*g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 18294058.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = m - 4*q, -5*m - 8*q + 8*q = -3*q + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 7. Suppose s - 3 = 2. Let h = 5 - s. What is the nearest to h in 5, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/((-33)\/44) - -8. Suppose r*g = -4*g + 1540. List the prime factors of g.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5477 + 17205. Suppose 5*o - q = o - 2*v, -4*v = 3*o - 8801. Suppose -3*g - f = -4*g + 579, 5*g - o = -4*f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**3 + g + 1. Let o be t(2). Let b be (o\/9)\/((-2)\/(-6)). Let j = 23 + b. Solve j*i = 4*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let h(k) = 10*k - 10. Let t(m) = 4*h(m) + 35*j(m). Differentiate t(i) wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 620 - 660. Is x at most -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 16*l - 12*l + 31*l**2.\nAnswer: 31*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + (-7 - -1))*-367. Let f = b + 395. Solve -3*p + f = 5*n, -4*n + 2*n = -2*p - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/117*(-221)\/51.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**4 + 12*s**3 - 2*s**2 - 152. Let d(o) = -3*o**4 + 48*o**3 - 9*o**2 - 609. Let m(x) = 2*d(x) - 9*w(x). Differentiate m(n) with respect to n.\nAnswer: 12*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 217, 222, 229, 238?\n\"Answer: q**2 + 2*q + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173 - -178. Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 27 = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2\/27, -0.5, 57\/467, 125.\nAnswer: -0.5, -1\/6, 2\/27, 57\/467, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 239\/40 + -61\/10. What is the closest to -8 in -2\/9, -2, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120683, 120724, 120767, 120812, 120859, 120908?\nAnswer: 120959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 772438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/60)\/((-59)\/(-2655))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -183?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(627) - sqrt(627)*2)\/sqrt(11))\/(4*sqrt(27)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/77 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-10) + (-180)\/(-75) + (6 - -75). What is the highest common divisor of 2916 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 523 + 529 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 345. Let t = g + -114. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 12*i + 13*i - 24*i**2 + 26*i**2 - i**3 to q*i**2 + j*i + x + v*i**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b - 2*b - b**2 - 4 + 0*b**2 - b. Let t be i(3). Let z be 19*t\/45 + (-6)\/(-27). Let r(l) = l**3 + 5*l**2 + 3*l + 6. Determine r(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-22)\/(-176))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0116 minus 580?\nAnswer: -580.0116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 14*a**2 - a - 2 - 1 - 11*a**2. Let f be k(-2). Let y = 149 + -84. What is the highest common divisor of f and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let f = 6 + w. Solve 4*l**f - l**4 - 5*l**3 + l**2 + 2*l - l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27 - -47)\/((-2)\/(-15)). Let i = -134 + x. What is the least common multiple of 44 and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -12. Which is the biggest value? (a) 3 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*y = -2*p + 17, -4*p + 5*y + 31 = 0. Suppose 3*t - p = -4*d, -2*d + 10 = 2*d + 5*t. List the prime factors of ((-15)\/9)\/((10\/(-252))\/d).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -2*s. Let h(g) = -5*g - 27. Let q be h(-9). Suppose 2*p - 4*u = -q, -p + 16 = u + 2*u. Is s at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 45*d + 50 = 40*d, -2*v + 2*d + 20 = 0. Let h = 7 - 4. Factor v - 2\/9*t**2 + 2\/9*t**h - 4\/9*t.\nAnswer: 2*t*(t - 2)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*m - 0*s + 5*s, m + s = -1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1311 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058917 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122599 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = 5*d - 5*f, 12 = d + 4*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/8)\/((-10)\/120). Let d = 16 - q. Let w(l) = 2*l**3 + 2*l**2 - l. Let p be w(d). Solve -2*m - 9 = 3*c, 5*c - p*m + 2*m = -15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-10))\/((-2)\/(-5)) + (-2106)\/2. Round b to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -12 + -12 + (2 - 3) - -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**3 + 15*b**2 + 435*b?\nAnswer: -42*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*r - 47*r + 59*r + 2*r**2 to o + s*r + a*r**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1570494 and 2403.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110867*m**3 - 37946 wrt m?\nAnswer: -332601*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 128*z**2 + 244*z - 120.\nAnswer: 4*(z - 30)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 4*h - 21. Let x be t(-4). Suppose w + 3*w - 88 = 0. Calculate the greatest common divisor of x and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(108) - (sqrt(175) - (sqrt(175) + -1 + sqrt(175)))**2.\nAnswer: -176 + 31*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-90)\/(-8))\/(4\/48). Suppose 3*y - 15 = 0, 4*y + 31 - o = -4*u. Calculate the remainder when u is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5047, -9271, -13485, -17683, -21859?\n\"Answer: t**3 - t**2 - 4228*t - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.9 - -0.1. Suppose 0 = -6*i + 2*i - 16. Let h be (i\/(-30))\/(2\/3). What is the nearest to -0.1 in b, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.08 (b) 3\/4 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 + (-26)\/(-4). Suppose -4*z + 15 + 3 = -3*b, -i*b = z + 7. Let u(o) = -o + 10. Let f be u(8). Solve d + f = z*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.2 and -1.345?\nAnswer: 9.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*z + 5*z + 9 = 4*z - 0, 66*z - 87 = 111 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -838536 by -6.\nAnswer: 139756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2632 (b) 4\/5 (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 448 + -76. Let o(f) = -33*f + 66. Let b be o(2). Suppose b = -4*z - 3*c + n, -3*c - 208 = -2*z + c. Round z to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4409 and -0.98.\nAnswer: 4408.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 915953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2\/25, 387 in increasing order.\nAnswer: -2\/25, 2\/9, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 12*a. Let x(k) = k. Let v(d) = i(d) + 12*x(d). Let g(s) be the first derivative of 2*s**2 + 49. What is v(g(z))?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34\/3 + 12. Let w = -6 + 6. Suppose 0 = 7*z - 5*z - 4. Which is the third smallest value? (a) t (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/5)\/3 - (-297)\/55. Suppose 0 = -5*p + 11*r - 13*r + 9, 9 = -3*r. Solve 0 = 2*i - p*i - s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*d**3*g**5 + 16*d**3*g**3 + 1753*d**3*g**2 - 2*d*g**2 - 5*g**3 wrt g?\nAnswer: -2220*d**3*g**2 + 96*d**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10, -4*g - 2*d = -18 - 58. Calculate the smallest common multiple of g and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6447833 centuries?\nAnswer: 773.73996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16dd3c (base 15) to base 8.\nAnswer: -4167736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0939 - 0.082. What is z rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 4*l + 3. Let k be h(-2). Suppose -5*j - 25 = -5*g, 30 = 4*g - k*j + j. Calculate the highest common divisor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -876 + 872. What is the second smallest value in 17, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = 0, -5*q + 6*q + 3*k = -454791. Round q to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -0.3, 0, -1\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = -5*x - 151*t + 60*t, -2*x - 16 = 4*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**2 - 3*o - 990 = 0?\nAnswer: -30, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/24 and 73\/9259797?\nAnswer: 74078376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 110 = 22*a. Let o = 0.02 - 0.42. Put -2\/15, a, o in increasing order.\nAnswer: o, -2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 49 = 7. Does 16 divide (576\/(-84))\/((-2)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*q**3 + 2*q**2 + 2*q**2 - 4*q**2.\nAnswer: 99*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6222 is divided by 389.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 15. Let f be y(3). Suppose 308 = -0*x + 2*x - s, -x - 3*s + 154 = f. What are the prime factors of x?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 1, z: 2, w: 11}. What is prob of picking 3 w and 1 i?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -9*l + 652 - 584, 0 = 4*v + 4 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlqlnbbbnbncjcnb. What is prob of picking 1 j and 1 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(1 - (-12)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 2\/(-6)*-6. Suppose n = -0*c - 4*c + 24. What is the smallest common multiple of 11 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/7 + 190240*p**2\/7 - 380483*p\/7 + 190242\/7 = 0 for p.\nAnswer: -190242, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 3:00 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + i - 532 = -3*i, 0 = -u + 5*i + 266. Let m be (-162)\/(-1) + -531 + 521. Calculate the greatest common divisor of m and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2074 and 1768.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 15*j**2 + 14*j - 30. Let m be k(-16). Suppose -42391 = 4*l - 3*z, m*l - 2*z + 21203 = -3*z. What is l rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/4 - 523*m\/2 + 273529\/4 = 0 for m.\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -33 + 49. Solve g*l + 5 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8)*q*q)\/(q**(-6\/5)*q))**(-1\/5) assuming q is positive.\nAnswer: q**(29\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.43 and -772.\nAnswer: -35071.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 68 - 28 = 0. Let u be (-2)\/4 + 15\/q. Which is smaller: u or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {c: 6, o: 3, r: 2, n: 3, d: 4}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 13*h**2 + 32*h + 33. Let q(p) = p**3 + 6*p**2 - 16*p - 17. Let c(v) = -4*d(v) - 9*q(v). Is c(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 1 - -6) + -12 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t = -114 + 182 + 208 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 57*o + 3\/4*o**3 - 33\/2*o**2 = 0. What is o?\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 1\/3*m**3 + 0 - m**2 + 5\/24*m**4 + 4*m. Calculate d(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21, -320, -15, -1\/4, -1\/6 in descending order.\nAnswer: -1\/21, -1\/6, -1\/4, -15, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c - 75. Let q(y) = -14*y - 103. Let m(z) = 16*q(z) - 22*w(z). Let p(g) = -2*g**2 - g + 1. Let v be p(1). Give m(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -12.2 (b) -5 (c) 0 (d) -1\/4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from uuuuivuuuuuuia?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -5)\/((-2)\/6). Suppose o + i*p = 52, -5*o = -3*p - 313 - 1. List the prime factors of o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 10*p**2 + 11*p + 6. Suppose 2*y = -4*u - 28 - 18, 0 = u + 3*y + 14. Let v be w(u). What is the greatest common factor of v and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1882*m - 2*m**2 - 1882*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 4, 0.1, 1\/153?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -4\/15*w**3 - 1\/30*w**5 - w**2 + 0 - 1\/5*w**4 - w. Let v(p) be the first derivative of x(p). Factor v(j).\nAnswer: -2*(j + 2)*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/(-268))\/(2*5\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17240716, 17240714, 17240712, 17240710, 17240708?\n\"Answer: -2*o + 17240718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 + 2*i + 218 + 224 - 659.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -1652, 5, -12.7, 0.3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, i: 1, d: 4, z: 1, j: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(63\/(-7))*9*(-36)\/27.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 10*l - 44. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*p + 376 = 146*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 2983940*i + 29838900.\nAnswer: 5*(i - 596778)*(i - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1140362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 1, j: 1, y: 3, m: 3}. Give prob of picking 2 m and 1 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d + 6*d - 2210 = 332. Suppose 0 = 3*c + 2*o - 20, 0 = -0*c + c - 5*o - 35. What is the least common multiple of c and d?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 2, f: 2, b: 1, d: 1, r: 1}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*a + 5, 32*s + 2*a = 27*s + 94. What is the common denominator of 113\/30 and ((-8)\/s)\/((-7)\/((-1365)\/324))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 901149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002197 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364041.\nAnswer: 3, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 41*(0 - 4)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*x = 91, -3*d + 5*d - 2*x = 194. Suppose -d = -5*k + k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128758277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8325703mm in kilometers?\nAnswer: 0.0000008325703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-28)\/304) + 7. Does 79 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6896 - -6737. Which is the closest to -3\/10? (a) -3 (b) -4 (c) 4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 - 62 + 23*v)*(-1 + 0 + 3)*(9 - 9 - 18)*(v + 3*v - 2*v)*(-2*v - 1 + 1 + (-3 + 4 - 3)*(-4*v + 6*v - 4*v)) to y*v + t*v**3 + j*v**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-54)*(-105)\/14*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28468 is divided by 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:51 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.61659m in centimeters?\nAnswer: 6261.659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p + 2324 = -2823 + 283 for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -83540 times 448.7\nAnswer: -37484398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -12101500 to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 81*y**2 + 8*y + 11. Let p be b(-2). Let c = 6 - 6. Suppose r = -c*r + p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1035\/(-150))\/(-23)*(-16 + 1100\/66)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84706 + -48262. Let v = q - 78344. Round v to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316983*p - 317145*p - 5 + 634129*p.\nAnswer: p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(1 + sqrt(468)*2) + -3*((-2*sqrt(468) - sqrt(468)) + -5 + sqrt(468))**2).\nAnswer: -28430 - 1500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 1 v when three letters picked without replacement from dmoyaaoaoamomvv?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -10, -3\/8, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.06, -3\/8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13588*f - 149441. Give n(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g + 100. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.900113 - -2\nAnswer: 2.900113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2 + 48196*j = 0. What is j?\nAnswer: 0, 12049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) - 21\/(-2). Suppose 2*c + 0*c = -16. Let b = v + c. Solve y - b + 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297035.3g to milligrams.\nAnswer: 297035300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - 91. Let k = 98.9999943 + o. What is k rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 3:45 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let d be b(2). Let w(l) = -4*l - d*l + 4*l + 3*l + 1. What is the units digit of w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + 5. Let w be f\/72 - (-2)\/8. Let 4\/9 + w*k - 14\/9*k**2 = 0. What is k?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4416303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 2. Let d(c) = c + 1. Let w(f) = -5*d(f) + m(f). Let i be w(-2). Let u be 18\/(-48) + 6\/16. Which is bigger: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22940001 to the nearest integer?\nAnswer: 4790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 6*b - 5. Let i be n(4). Let f be -40*3*(-3)\/18. Suppose 0 = -4*x - f, -86 = -i*c + 4*x + 24. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71, 120, 151, 152, 111, 16, -145?\n\"Answer: -2*p**3 + 3*p**2 + 54*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*j - 2*g + 745, 5*g - 596 = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.034 + 4.966. What is the fourth biggest value in -3, b, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(2) + (-1*sqrt(162) - sqrt(162))**2.\nAnswer: sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37\/3 + 55\/6. Calculate the common denominator of g and (-3)\/3 - (-47)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j**4 + 2*j**2 - j**3 + 35*j**4 - 79*j**4 + 1 as x*j**2 + f*j**3 + y*j + w*j**4 + z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - t**2 - t + 1. Let z(i) = -4*i**3 + 3*i**2 + 4*i - 25. Let y(m) = -3*l(m) - z(m). What is the tens digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -333*n + 182. List the prime factors of k(-6).\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 6*y - 52. Find the third derivative of 12*n**2 + 12*n - 7*n - 6*n**3 - y*n wrt n.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-41 + 1)*(53 - 32)\/42\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/5)\/(5\/(-25)). Let v be (-132)\/(-9) + z\/6. Suppose -2*x + h + 124 = -x, 0 = 2*x + 5*h - 262. What is the greatest common divisor of x and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 + 294784*t - 5431100416 = 0.\nAnswer: 36848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.991 - -28. What is m rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4840)\/(-2662))\/(27\/33)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5666.3 times 0.08?\nAnswer: -453.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, 118, 230, 386, 586?\n\"Answer: 22*d**2 + 2*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3477*n**2 - 17*n + 10. Let b(u) = 6953*u**2 + 45*u - 21. Let i(g) = 6*b(g) + 13*t(g). What is the second derivative of i(s) wrt s?\nAnswer: -6966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*p = -25, 2*o = 5*p - 79 + 119 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 + 7*c**3 - c**2 - c**2 - 4 - 7*c**3 to the form w + i*c + k*c**4 + m*c**3 + g*c**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 23*y = 125, -5 = -170*c + 168*c - 3*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbp when four letters picked without replacement from {r: 2, q: 4, b: 2, p: 1, x: 2, m: 1}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42465\/17 - -38898807\/15572. Calculate the common denominator of k and 89\/458.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112987.417 to the nearest 10.\nAnswer: -112990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3244 - -22670\/7. Let i be (2\/(-5))\/((-1108)\/(-10) + 7). Let h = i - 18241\/5301. Calculate the common denominator of h and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 8*l - 36. Find the second derivative of 54*m**l - 660*m**5 - 2 + 1 + 31*m + 661*m**5 wrt m.\nAnswer: 20*m**3 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 - 39 - (-21 + 101)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*m - 29 - 6, -4*m + 4 = 0. Let n(s) = -s + 16. Let u = 26 + -14. Calculate the least common multiple of i and n(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 10*o - o - 2*o + 2*o - 2*o + o + (-2*o - 4*o + 4*o)*(3 - 4 - 1) as w + n*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w**5\/10 - 6081*w**4\/5 + 2052326*w**3\/5 + 1384452*w**2\/5 - 4575168*w\/5 + 1827904\/5 = 0. Calculate w.\nAnswer: -2, 2\/3, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*b + 40 = -s, -3*b + 50 = -7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Suppose -4*a + 32 = -m*a. Let r = 15 - a. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12078 = -266788*o + 267459*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 12:17 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/7 + 14)\/(1\/11). Suppose 90 = 2*a + n. Solve -q = a - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/3 + (-4)\/12. Find the second derivative of 2*f**3 + 5*f + 4*f**4 + 0*f**l - 2*f**3 wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, x: 8}. What is prob of picking 2 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 1 - 18 = 5*u, o + 2*u + 13 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 57248586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -977\/5 - -195. What is the common denominator of -53\/10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 793444.1 millennia?\nAnswer: 9521329200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3686, -3827, -4062, -4391, -4814, -5331, -5942?\n\"Answer: -47*m**2 - 3639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2622 and 46512.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54, 116, 180, 246, 314?\n\"Answer: w**2 + 59*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a**3 + a**2 + 2*a + 5. Give l(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5*x + 2*x)*(13*x**4 - 24*x**4 + 14*x**4 - 3*x**3).\nAnswer: -6*x**5 + 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 770138.044 to the nearest one hundred.\nAnswer: 770100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1010a3 - 103?\nAnswer: 100aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -65 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 34 - 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12*3 + (-155)\/(-124). Factor 2\/3*j**3 + 2\/3*j + 0 + 4\/3*j**l.\nAnswer: 2*j*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62237 - 0.2.\nAnswer: -62237.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 12*h - 1 + 2*h**4 - 3*h**3 - 14*h + h**3 to the form s*h + b*h**4 + k + t*h**2 + w*h**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079088 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 - 3*w**2 + 4*w**2 + 4*w**3 - 5*w**3 - 1 + 21*w**3 to m*w**2 + k*w**3 + s + a*w**4 + q*w and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 7) + 44\/11*6255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -4*q - 6*y - 28, -17 = q + 4*y. Let o(s) = 3*s**2 + 1. Let t(j) = -13*j**2 - 5. Give q*o(p) - 2*t(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.107776 + 61682020?\nAnswer: 61682019.892224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -132*p**3 + 114*p**2 + 8. Let i(f) = -44*f**3 + 38*f**2 + 3. Let h(z) = 3*a(z) - 8*i(z). What is the third derivative of h(b) wrt b?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 33475.\nAnswer: 1\/33475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 532.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from jmbmjjjjjmjl.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let v be (1*s)\/((-19)\/(-38)). Solve -17 + 1 = v*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 6 = 2*i, 3*w + 18 = 15844*i - 15848*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -35. Suppose 0 = 5*r - r - u - 85, -17 = -r - t*u. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 16. Suppose -2*w + m = 3. Suppose 11 - 1 = w*i. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48059081 a multiple of 1550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.385 + 2.615. Which is bigger: -0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 - 5*b - 8. Let v(d) = -d - 1. Let j(m) = -c(m) + v(m). What is j(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89725?\nAnswer: 5, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5 + 1. Let a(p) = -1. Let q be (4 - 2)*(1 - 0). Let v(x) = -2*x**q + 2 - 2 + 4. Determine w*v(c) + 4*a(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1375))\/((-1*sqrt(88))\/sqrt(8)))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*t - 6*b + 3*b, -3*t + 2*b = -12. Let r(o) = 3*o - o**2 + t*o - 6*o - o. Let c(u) = 2*u**2 + 4*u + 0 + 0. Give -3*c(i) - 5*r(i).\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.469 + -15.4. Let w = -6.669 + y. What is w rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4839 - 10406. Let h = q + 7994. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 + y**3 - y + 2*y**2 + 3 - 2. Let t(c) = -c + 3. Let x be t(1). What is k(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5 - 10*h**4 + 8*h**3 + 32*h**2 - 64*h + 32 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6797 + 6797. Let v(t) be the second derivative of d + 5\/3*t**4 - 15\/2*t**2 + 0*t**3 - 14*t. What is the first derivative of v(i) wrt i?\nAnswer: 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24447 divided by -8149\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 1 + 1)*(-12 - 4 - 18).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-17)\/(119\/28) + (-180)\/(-22) and -50\/17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7058521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317136 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/22324 and -63\/44.\nAnswer: 245564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/60 - g**4\/3 + g**3\/2 + 7*g**2. Let d be m(-8). Suppose d + 1 = 4*l. Which is bigger: -1\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22481, -44966, -67451, -89936?\n\"Answer: -22485*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 26 (b) 3\/4 (c) 0.5 (d) -1 (e) -434 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-440)\/(-616)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 2*t + 52*t = -102*t + 6300 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3 - 6*s**2 + 3*s**2 + 4*s**2 - 4*s. Let q be z(-1). What is the units digit of (q\/2)\/(8\/80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 9, 4, -6, -148.\nAnswer: -148, -6, 4, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1707296 and 1312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182 divided by -396465?\nAnswer: 394\/132155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 89 + 48 + 60*n as l*n + x and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/5)*y)\/((((y\/y**(1\/7)*y)\/y)\/y)\/y))**(40\/3) assuming y is positive.\nAnswer: y**(1216\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -6. Let o(p) = 12*p + 14. Let m be o(z). Suppose -10 = -8*g - m. What is g rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(1053) + -2)**2 + -4*((2*sqrt(143))\/sqrt(11) + -2 + 1*sqrt(13)).\nAnswer: -12*sqrt(13) + 4220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17567, -17646, -17777, -17966, -18219, -18542, -18941?\n\"Answer: -l**3 - 20*l**2 - 12*l - 17534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 10*l - 9. Let m be c(-6). Let j be 2\/(-9) - ((-2926)\/(-99))\/(-7). What is the remainder when (-594)\/m + j\/(-14) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13871 or -15404?\nAnswer: -13871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54366877 to the nearest integer?\nAnswer: 7373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -168*t - 163 - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -833 divided by 13297?\nAnswer: -833\/13297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -829 + 828. Suppose -8 + 3 = -q. What is the nearest to 0 in q, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 914, -4, 0, 3 in ascending order.\nAnswer: -4, 0, 3, 914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10620 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a + 5. What is s(5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 + 2*j - 14. Let n be w(-3). Which is the biggest value? (a) -0.5 (b) 2 (c) 0.3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1424741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose x = -5*u - 0 + 25. Solve -v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274006981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-28))**(-15)\/(c\/(c*c**18)*c**(-35)))**(12\/11) assuming c is positive.\nAnswer: c**516","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1374 - -1405. What is the remainder when 647 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -877, -1113, -1349, -1585?\n\"Answer: -236*l - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 904.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/8 - 43\/(-4). Suppose -6*o = -5*o - w. Solve -6*d + 2*d = o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = n. Suppose 0 = 2*r - 3*i - 9, 2*i = 4*r - 0*r - 6. Suppose -9*g + 11*g = r. Sort n, g, -2 in descending order.\nAnswer: n, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/21)\/((-9)\/42) + -14 + 10. Solve 0 = -4*c + 5*f - 1, -c + 99 = -s*f + 102 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/48)\/(3\/(-9)). Which is the closest to -0.1? (a) n (b) -1\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-12)*30\/50\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53839135?\nAnswer: 5, 7, 1538261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 117778426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1175?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 13}. What is prob of sequence me?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -100, -133, -148, -139, -100?\n\"Answer: y**3 - 52*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 3*h + 0*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 17*h. Let d(f) = 2*f**2 + 17*f - 1. Suppose 66*z = 70*z + 4*y + 28, 0 = 2*z + 4*y + 22. Calculate z*d(x) - 2*p(x).\nAnswer: -2*x**2 - 17*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6125 - -3.03. Let u = -0.0175 + l. Put -1\/6, u, -1, 0.3 in ascending order.\nAnswer: -1, -1\/6, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 11. Calculate the smallest common multiple of 7 - 4 - (-1 - 2) and z(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + 7*b**2 + 0*b**2)*(24 - 8 - 14)*(-1 + 0 - 1)*(-1 + 8 + 4)*(4 - 4 + 4) in the form j*b + z + a*b**2 and give a.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 288, -4, -164, 0, -15, -3, -1 in descending order.\nAnswer: 288, 0, -1, -3, -4, -15, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29 - (-18 - -9))*-3. Solve -t = -9*g - 6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 94268.72 grams?\nAnswer: 94268720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -570 or -569?\nAnswer: -570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f + 762198*f**2 + 63*f - 85*f.\nAnswer: 762198*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298843 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, -11, -23, -33, -41, -47, -51?\n\"Answer: u**2 - 17*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 307 - 295. Suppose -h = -3*i - 3. Solve -9 = 5*p + 4*l, 5*p - i*l + 45 = 2*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 27*d - 2. Let h be q(2). Let l = -257\/5 + h. Let x = 0.81 + -1.01. What is the third biggest value in l, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 3 - 1 - 6*x**3 - 1 in the form m*x**2 + q + a*x**3 + h*x and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778*d = 819*d - 1148. Calculate the remainder when 1696 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 8*i**2 + i + 8. Let m be o(8). Let c = m + -17. What is the tens digit of 0 - 2\/c - -59?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2833 - 187*n - 2833 + (0*n - n + 0*n)*(-1 + 4 - 1))*(0*n**2 - 4*n**2 + 5*n**2) in the form j*n + d*n**3 + v*n**2 + z and give d.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -60687373?\nAnswer: -60687373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 397 = 3*a + 370, 30 = -5*v + 2*a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 314?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16668 and 24.\nAnswer: 33336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230 and 11868?\nAnswer: 59340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 29. Let a = 84 + -51. What is the smallest common multiple of n and a?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 6*w + w + 378865, 2*u - 5*w = 151532. Let l = u + -35771. Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 9. Suppose -a - l - 15 = -3*a, 4*a - s*l - 33 = 0. What is the remainder when 16 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -16. Let l = 30 + y. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1, -7, 1 in increasing order.\nAnswer: -7, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 2836 (c) -4 (d) 0.12 (e) 1 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 12706029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from lpplqllqqqoaplqo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**5\/7 - 324*f**4\/7 - 91100*f**3\/7 + 183780*f**2\/7 + 91096*f\/7 - 26208 = 0.\nAnswer: -117, -1, 1, 2, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from eettettttte.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 5403*g - 64918. Give f(-12).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*r + 1830 + 751 = -233 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 7. Give u(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 - (6 + (-2 - 3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rssx when four letters picked without replacement from {n: 4, j: 3, x: 2, r: 2, s: 2, k: 2}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/28)\/(70\/(-49)). What is the closest to 0.1 in -2, 2\/7, l, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 6*f**2 + 5*f + 4. Let u be z(-5). Let q = u - 4. Let d = -581.6 - -582. Which is the closest to q? (a) d (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475, -476, -477?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10 and (0 + 12\/(-250))\/(116\/3480).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6292 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 833500.3g?\nAnswer: 833.5003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 864600.5g in kilograms?\nAnswer: 864.6005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1544 and 2316?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6605?\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17251\/13584 + -1\/1132. Calculate the common denominator of -1\/2 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 4*n - 1. Let r be o(2). Sort r, 1, -4 in decreasing order.\nAnswer: 1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 6*d + 7. Let s be -2*(-1)\/(-2)*17. Let m = 11 + s. Let t = m + 11. Calculate k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 2 + 2 + (-2 + 2 - g)*(-4*g + g + 5*g) + 16*g**2 - 601*g**2 - 101*g**2 as a*g**2 + j*g + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 2. Calculate the remainder when -2 - -21 - (0 - 3) is divided by h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 249790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294706.\nAnswer: 2, 147353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 1939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -46*x - 368. Let s be z(-8). Solve -28*n + 13*n = s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 152, 222 in decreasing order.\nAnswer: 222, 152, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201511?\nAnswer: 67, 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/8)*n**6*n)\/(n**(-3\/4)*(n\/((n*n**(-2\/13))\/n))\/n*n))**(-6) assuming n is positive.\nAnswer: n**(-2097\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(5 + -1 + sqrt(704) + sqrt(704)) + (2*-3*sqrt(396) - (sqrt(396)*3 + -1))**2 + 0.\nAnswer: 212*sqrt(11) + 32157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 57?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from nwkwnfnwwwwcknf.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let x(a) = -22*a. Let d(t) = 30*q(t) + 3*x(t). Let j(k) = -20*k. Determine d(j(m)).\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/27 and 14\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-225)\/(-10)) + 86\/(-30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/14 + 22\/(-7). What is the units digit of (q - -1) + (1 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001187 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3105849 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:36 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17\/((-102)\/108)*(-32)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-273)\/42*8\/(-26). Suppose 181 = 2*b + s - 2*s, -2*s = -m*b + 182. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**8\/48 - p**5\/60 + 5*p**2. Find the third derivative of d(c) wrt c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10004113201 - 224?\nAnswer: -10004113430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h - 2. Let u be a(-1). Suppose 4*n = -5*s + 53, n - 2 = -0. Let c(q) = -q + s - u + 0 - 4. Give c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 + 3*v**2 - 25*v + 10. Is t(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5))**9*(t\/((t\/(t*((t\/(t\/(t\/t**2)))\/t*t*t)\/t))\/t))**(3\/19) assuming t is positive.\nAnswer: t**(528\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 11776*n + 377851. Give u(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(891) + (sqrt(891) + 0)*-6 + sqrt(891))**2 + sqrt(891) - (-2*sqrt(891) + 2))*4.\nAnswer: 648*sqrt(11) + 342096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56640 and 394710.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12*((-16)\/(-6) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 133.9. What is the third biggest value in a, -9, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/5 - 1411*v\/5 - 33288\/5 = 0 for v.\nAnswer: -1387, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -189\/4 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6788\/13 - -522. Which is the closest to 1\/3? (a) 6 (b) q (c) -2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 40 = -3*y. Let o = y + 44. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yccddcdncddddn. What is prob of picking 3 c and 1 n?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0.23865.\nAnswer: 1.76135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/38 - 2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 149*x**4\/6 - 29*x**3 + x**2 + 32. Find the first derivative of l(n) wrt n.\nAnswer: 596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14353748 times 13\nAnswer: 1.86598724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 3*l**2 + 52*l - 225. What is o(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21112627 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.563 + 0.063. What is the nearest to 1 in -0.11, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t + 26. Let o(w) = -w - 8. Calculate 2*k(y) + 7*o(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + (-19 - -21) + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) -5 (c) -314\/1157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 38*o**2 + 71*o - 30. Let j be f(-36). Suppose -2*s + 3*n - 2407 = -j*s, -s + 608 = 2*n. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -756 and -534.\nAnswer: 403704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*k - 10, 9 = -z + k + 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22568, -180345, -608564, -1442447, -2817216, -4868093?\nAnswer: -7730300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1181a1 (base 12) to base 14.\nAnswer: 75533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516707 is divided by 64526?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1268458 and 55\/61377.\nAnswer: 3805374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97 and 312977193.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50381*s**2 - 24*s + 729 wrt s?\nAnswer: 100762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 109. Suppose -2*w + 16 = -4*y, 0 = 17*y - 15*y - 4*w + 8. Sort 0, y, a.\nAnswer: y, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1517*t - 1436*t = -74439. Which is the smallest value? (a) -4 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9044880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(108)\/(2*sqrt(12) - sqrt(12)))\/sqrt(3) - ((sqrt(144)\/sqrt(12))**2 - (-1 + sqrt(432))**2))*1.\nAnswer: -23*sqrt(3) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. Solve 0 - 5 = 5*u + 4*o, -24 = -3*u + l*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22260 by -5.\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.3, 2, 12\/5, 0.2, 312?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 958 - 538. Let g be j\/(-9)*(-84)\/10. Let o = 7450\/19 - g. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/20, 220, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5549 + 94279\/17. Let b = f + 165\/68. Let m = 0 - 5. Sort -0.1, 2\/19, m, b.\nAnswer: m, b, -0.1, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -27. Let c be (-4)\/(-6) - 22\/24. Let k = 0 + -1. What is the nearest to h in -3, k, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953c10 (base 15) in base 14?\nAnswer: d2b832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(336\/30))\/(-3*(-7)\/(-84))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*p**2 - 3 + 34*p**3 + 36*p**2 - p - 51*p**2)*(-p + p - 2*p) to q*p**2 + k*p + n + z*p**4 + h*p**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8 + 12. Does 5 divide (2\/4)\/(1\/(o + 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1\/7 (c) 1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119770 + -7603433852.\nAnswer: -7603553622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2671*s**2. Let h(y) = 834*y**2 + 849*y**2 - 1685*y**2. Give t(h(g)).\nAnswer: 10684*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1248 = 5*s, -2*w - 3*s + 4*s - 1248 = 0. Let a = w - -2581\/4. Find the common denominator of -41\/10 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -35. Is 5 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*sqrt(10)\/sqrt(2)*-1 + sqrt(55)\/(sqrt(22)\/sqrt(2)) + 1*sqrt(20)\/sqrt(4).\nAnswer: -3 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 3:17 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f. Let z(u) = 12446*u. Give b(z(p)).\nAnswer: 37338*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*l = -5 + 22, 3*l = 5*w + 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7614263\/377 + -20197. Suppose -29 = -40*z + 11. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82806 and 57150?\nAnswer: 788727150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(2\/3)*u*u\/(u*u**6))**(19\/4) assuming u is positive.\nAnswer: u**(-209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153380?\nAnswer: 2, 5, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76019 (base 11) to base 3.\nAnswer: -12121120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 + -74. Solve -n + 0 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*h - 19*h - 335 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 9. Let d be l(-7). Suppose r - 2*r + 6 = f, -5*r + 5*f = 10. Suppose r*c - d = 6. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Solve i**4 - 25516*i**3 + 162868596*i**2 - 1301724256*i + 2602632256 = 0.\nAnswer: 4, 12754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 132747888 and 0.6.\nAnswer: 132747888.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*l**2*u + 3*b**2*l*s**2*u + 3*b*s**3*u - 91*l**2*s**3 - 50879*l**2*u + 1485*l*s**3*u + 4*l + 6*s wrt l.\nAnswer: 2*b**2*u - 182*s**3 - 101758*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 16001484*d + 21337290850188.\nAnswer: 3*(d - 2666914)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 20097)*(73 + -74).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2400 - -2404. Let y(j) be the first derivative of 9*j**2 + 0*j**3 + p - 14\/5*j**5 + 0*j + 0*j**4. What is the second derivative of y(g) wrt g?\nAnswer: -168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001011 - -1?\nAnswer: 1011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1711.335 litres?\nAnswer: 1711335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/11)\/j**(12\/7) assuming j is positive.\nAnswer: j**(-139\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q - 3. Let m be s(4). Suppose -5*c = -391 - m. Suppose -g - 36 = -3*g - k, -k - c = -4*g. Calculate the least common multiple of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/(a*a**(1\/3)*a)*a))*a)**(-36)\/(a**4*a**(2\/15)))**9 assuming a is positive.\nAnswer: a**(-2886\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2091, 2134, 2175, 2214, 2251?\nAnswer: 2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15801513.\nAnswer: 3, 7, 13, 57881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-2)\/39*18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 times 221?\nAnswer: -48620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125663 - 64590735\/514. Calculate the common denominator of -97\/12 and i.\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387 - -387.1. Let x be (-2)\/(-3) + 1\/(-3). What is the nearest to -2 in x, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -31182.\nAnswer: 1\/31182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1287, -1289, -1289, -1287, -1283, -1277, -1269?\nAnswer: -1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -563*q - 2257. Let c be y(-4). Put -2\/11, c, 3, -1698 in decreasing order.\nAnswer: 3, -2\/11, c, -1698","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/483185615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 - 155*j**3 - 665*j**2 - 345*j + 1170 = 0. Calculate j.\nAnswer: -26, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**3 + 16*s**2 + 5*s - 5. Let k(r) = -4*r**3 + 8*r**2 + 2*r - 2. Determine -5*k(d) + 2*w(d).\nAnswer: 2*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d - 9. Suppose 0 = 10*x + 20 + 70. Let q(k) = 5*k - 4. Let b(v) = x*q(v) + 4*n(v). Let o(t) = 3*t**2. Give o(b(m)).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 516, 897, 1956, 4035, 7476, 12621, 19812, 29391?\n\"Answer: 57*l**3 - 3*l**2 - 9*l + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = -4*m. Let j(c) be the third derivative of 0*c**5 - 1\/2*c**3 + 0 - 1\/60*c**6 + 0*c + 0*c**4 - 2*c**m. Differentiate j(p) with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1338, -1, -2, 3410.\nAnswer: -1338, -2, -1, 3410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 2*z**2 + 7*z + 11. Let y(p) = p**3 + 3*p**2 + 7*p + 10. Let d(t) = 3*w(t) - 4*y(t). Give d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 12:46 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 55618 + 119972. Let x = g - -98530. What is x rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-24)*-5)\/(1\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/12 + 2*k**2. Let u = 48 + 27. Let r(o) = 76 + 14*o - 151 + u + o. Determine r(p(h)).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 2. Let p be (-6)\/(-12)*12 + 68\/(-11). What is the second smallest value in o, 1, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010010011001001 (base 2) in base 9?\nAnswer: 623321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93930 = 7*n - 48331. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 9, 12, 5, -18, -63, -136?\n\"Answer: -f**3 + 4*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 - 45064*p + 888459292.\nAnswer: 4*(p - 39431)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/4 - 3*p**3 + 7*p**2\/2 + 11*p - 53. Determine l(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(1 - 0\/(-1)). Suppose 3*j = -0*j + c. Suppose v + 2*v - 5*f - 18 = 0, j*v - 5 = f. Let r(s) = 11*s**3 - s**2 + s - 1. Determine r(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-53 - (4 + -4)). Suppose 4*n + 823 = -c. Calculate the common denominator of n\/9*21\/28 and -103\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41048346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 909*z**3 + 9*z**2 + 27*z - 146. Is t(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18766784?\nAnswer: 2, 97, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/496 - (-7)\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*a - 24 = -3*d, 0 = 4*a + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3 + -1)*-15. Suppose 22 = 2*r - 2*d, -t*r + d = -0*d - 59. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615*o = -625*o + 40530. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:53 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + -2 - 2) + (122 - 106).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6584, 6530, 6476, 6422?\n\"Answer: -54*s + 6638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185975*f**3*k**2*p - 21*f**2*k**2*p - 35*f*k**2*p + 12*f*k - 4*f + 4*k*p - 3*p wrt f?\nAnswer: 1115850*f*k**2*p - 42*k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4*k + 45 + 19, 3*g + 2*k - 38 = 0. Let j be (-66)\/g - (-26)\/(-91). Let v = j - -9. Which is the closest to -0.1? (a) 0.2 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51448 is divided by 887.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2001010 or 0.297?\nAnswer: 0.297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-50)\/(-25) - 1*-5. Suppose -5*b + 4*u + 474 = 0, 2*b - q*b - 5*u = -510. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 4*l**2 - 8*l.\nAnswer: 4*l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(36)\/((4*sqrt(96))\/sqrt(8)).\nAnswer: sqrt(3)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a94 + 2a5?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 3\/110*n**5 + n**2 + 1\/660*n**6 + 0*n + 2\/11*n**4 + 0 + 16\/33*n**3. Factor h(c).\nAnswer: 2*(c + 1)*(c + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1919*r - 1924*r + 1 as h*r + a and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1197 and -79\/1764?\nAnswer: 33516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7668690 by -3.\nAnswer: 2556230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3780?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 53*w + 26*w + 27*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18108343*x**2 + 45099064*x wrt x?\nAnswer: -36216686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*q = -67 - 79. What is the fourth smallest value in 3, q, 2.04, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 5. Let g be j(7). Let c be g\/(-6) + (-12)\/36. Suppose c = y + 5*b + 4 - 57, 79 = 2*y + b. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.527 + -0.127. Let f = y - 0.8. Which is greater: 1\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 395 = -8*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 9) to base 16\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 53. Suppose 8*c - 1128 = -w*c. Let o = -42 + c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 147. Let m = 23 + l. What is the nearest to -1 in m, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567332343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 3)*(-2*y + 1 - 1) - y + 4 - 4)*(5 - 2 - 2).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -89, -301, -713, -1391, -2401, -3809?\nAnswer: -5681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12356 and 1\/20.\nAnswer: 61780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 1467970\nAnswer: 3\/733985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 82 + 86. Find the first derivative of w*x + 2*x + 3*x + 50 - 14 wrt x.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k - 306 - 874. Is -58 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7358*h - 2969. Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t - 18 = 65*t. Calculate the smallest common multiple of 0 - -1 - (1 + 116)\/t and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - 3 - (-7 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1295 + -888. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78588 and 4248.\nAnswer: 157176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(-5) + (-4)\/10. Let v = -931 + 936. What is the third smallest value in q, -4, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 5\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {r: 1, s: 5, n: 2, w: 6, m: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67930208 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95683186 is divided by 2126292?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 28, 45, 90, 175, 312, 513, 790?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1773376 and 23053888?\nAnswer: 23053888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(10*(-44)\/(-120))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 4. Let a(z) = 8*z + 98. What is -a(y) + 4*t(y)?\nAnswer: -4*y - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365 and 7592.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22853645*b**5 + 3872950*b**2 - b.\nAnswer: -1371218700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuueue. What is prob of picking 3 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2883b (base 15) to base 14\nAnswer: 355b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 113 and -1869.1103.\nAnswer: -1756.1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p)**(2\/139)*p\/(p\/(p*p\/p**(-1\/4))*p)*p*p*p**18\/p assuming p is positive.\nAnswer: p**(11269\/556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 20977428*r**3 + 36671082412692*r**2 - 21368594208502160060*r + 128210245096577222712.\nAnswer: 4*(r - 1748117)**3*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 284\/(-52) - (-10 + 9176\/962).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264278*v + 264261*v - 528538*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f + 92*f - 45*t - 22 = 87*t - 88, 0 = f - 2*t - 20 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.7, 1, -10, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 greater than or equal to -677\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 251 and 88.\nAnswer: 22088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**9\/72 - 2*z**7\/105 + z**5\/15 - 11*z**3\/6 + 66*z**2. What is the third derivative of u(c) wrt c?\nAnswer: 840*c**3 - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 1 - (51 + -67)) + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 4*j + 5262 + 3*j - 124019.\nAnswer: -2*j**2 - j - 118757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -434 + 226. Let u = 354 + j. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m - 1. Let y = -6 + 11. Suppose -5*a - 3*i = 79, 2*a + 0*a = y*i - 44. Let c = a + 16. Let u(b) = b. Give c*r(l) - 5*u(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 108 = -r + 60, 3*k = r + 104. Suppose 5*b + 3*p = 90, 0*b - p - 26 = -b. Calculate the remainder when k is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71968.4 decades in months?\nAnswer: 8636208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45671868 a multiple of 2134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**3 + 2*p**2 + 1. Let u(y) = -y**3 - y**2 + y - 1. What is g(j) + 2*u(j)?\nAnswer: 4*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19485271.\nAnswer: 13, 79, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 26*a + 18*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 5*v + 4*v - 306 = 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-25 - -21) - -9 - 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snssnsssss. Give prob of picking 2 s and 1 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) + sqrt(25)\/sqrt(5))**2 - ((sqrt(500))**2 - sqrt(5))*4.\nAnswer: -1880 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74241 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 2549569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 0)*(-51 - v + 29 + 6*v) in the form k + o*v and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 3, t: 7}. Give prob of picking 2 t and 1 u.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.36 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 89. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 71) + -35 + -2 + 36.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/4)\/((-75)\/(-60)). Suppose -i*d = 3*u - u - 320, 0 = -2*u + 3*d + 325. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -23901 (b) -2\/23 (c) -0.8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -9. Let r(x) = 13*x**2 + 11*x + 4. Let w(d) = -3*d**2 - 3*d - 1. Let h(j) = a*w(j) - 2*r(j). Determine h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 5. Let x = 17 + -18. Let l = 6 + -5.6. Which is the nearest to x? (a) -1\/7 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76256 divided by -9532\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 - -196. Let u(g) = -g**3 - 6*g**2 + 6*g - 1. Let o(k) = 1. Let w(y) = 4*o(y) - u(y). Let z be w(x). Which is smaller: z or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48479564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + z**2 + z + 4. Let t(l) = -2*l**3 - 6*l**2 + 5*l - 25. What is -6*a(x) - t(x)?\nAnswer: -10*x**3 - 11*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 52*y**3 - 15*y**2 + 3*y + 24. What is the tens digit of p(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*o**2 + 8*o**2 - 8*o**2)*(-6 - 58 + 10).\nAnswer: 1080*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-36))\/(19173\/(-32868))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 444816 (base 10) to base 4\nAnswer: 1230212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221045 (base 6) in base 14?\nAnswer: 419d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39283, -83505, -127727, -171949?\n\"Answer: -44222*x + 4939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/60 + s**4\/24 + s**3\/2 - s**2. Is 6 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 130326*t + 130481*t - 260798*t.\nAnswer: 9*t - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.205 + -4.795. Let g = 5 - 5.2. Let q = -0.4 - g. Which is the biggest value? (a) q (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*s**3 + 40*b*s**2 + 49*b*s - 3*s wrt s?\nAnswer: -12*b*s + 80*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12727070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 157989153 a multiple of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 61302\/(-71519)*-2*1*-4*3\/6\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/50)\/((-10)\/100)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77510\/2417 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -5. Let h = x + 6. Suppose 3*a - 4*g - 276 = 0, -3*a - 5*g - 40 = -289. What is the greatest common divisor of a and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28, 1, -1\/6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p = 1535 + 46915. What is the greatest common divisor of 912 and p?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286637971*f**3*k - 3097*f**2*k + 41108*f**2 wrt f?\nAnswer: 1719827826*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l + s = -5081, 3815 = 3*l - 5*s. Round l to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 14. Let s be t(-5). Suppose -5*l - 14 = -s*b + 1, 3 = -b - l. Suppose 9*c + b - 144 = 0. Solve -u + 5*u - 2*g = 12, c = -4*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 635788 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4213 + -114?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 divided by -6585?\nAnswer: -1162\/6585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4 - 347\/((-12145)\/150)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -915*l*p + 288*l with respect to p.\nAnswer: -915*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35611, -34083, -32555?\nAnswer: -31027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (84 - 89) + 1\/(-1 - 84\/(-81)). Let s(t) = -2*t**2 - 8*t + 2. Let p be s(-4). Calculate the highest common divisor of p and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(95)\/sqrt(5) - sqrt(76)\/sqrt(4)*3)*3.\nAnswer: -6*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, y: 3, v: 5}. What is prob of picking 1 y and 2 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/((v*v**(-2\/9))\/v))*v*v**(-2\/43)*((v*v**(1\/4)\/v)\/v)**(-25) assuming v is positive.\nAnswer: v**(30157\/1548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 3*l + 5*l + 0*l - 6*l. Let t(b) be the second derivative of 5*b**4\/12 - 2*b. Calculate t(p(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i. Let z(v) be the third derivative of v**5\/40 + 43*v**3\/6 + 28*v**2. Let y(d) be the first derivative of z(d). Calculate y(m(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2750 + -2729. Calculate the remainder when m is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24660 and 836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(1\/3) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o + 450. Find the common denominator of 24\/5 and (2\/16)\/(1\/o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/4 or -1902?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 6, q: 4}. What is prob of picking 1 u and 1 q?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23910 - -23913. Let f be (-1 - (-21)\/18)\/(-1). Which is the closest to 2? (a) f (b) t (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6367 - -4.3.\nAnswer: -6362.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1827 = 9*j - 48*j - 48*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -64. Let h = -3 - g. Let d = -44.04 + h. Round d to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 102064971 and -0.4.\nAnswer: 102064970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 2 + 3*k - 2*k + (-6*k + k + 2*k)*(-3 + 6 + 3) as g*k + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u. Let b(p) = 8*p - 4*p - 2 + 2. Let x(l) = -4*b(l) - 3*v(l). Let r(m) = -8*m + 5*m - 5*m - 2*m. Give x(r(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/102*(-2)\/(-28)*-1)\/(14033\/28066)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 11*n - 19\/2*n**2 - 9\/4*n**3 = 0 for n.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 8 = -2*g, 56*h + 3*g - 5 = 52*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20448027 + 15823*l + 20448027)*(-1 + 0 + 0) as d + s*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 11*b**2 - 183*b + 2321. What is a(11)?\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 34*j + 136. Give u(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 509\/2? (a) 1 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:37 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*-1*6. Let z be 26\/(-39) + 1\/x. Let p = -0.09 + 0.09. Sort -2, z, p in ascending order.\nAnswer: -2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -131577?\nAnswer: 131576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 269248, 1076962, 2423142, 4307788, 6730900?\n\"Answer: 269233*f**2 + 15*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 2*w + 2*w)*(190*w + 112*w - 18*w)*(-w - 5*w + 7*w) in the form k*w**3 + j*w + p*w**2 + v and give k.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330 + 455. Calculate the highest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -201605742*o**2 + 8802766*o wrt o.\nAnswer: -403211484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2\/3 - 5372*z\/3 + 16008 = 0. What is z?\nAnswer: 9, 1334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-18) + 4\/6. Let f be ((-4)\/12 - 1)*9\/6. Which is the closest to 0.2? (a) f (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g = 3*y + 18*g + 9, g + 5 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 2*h - 2. Let m be x(-2). Let p be m\/(-3) - 462\/(-126). Sort 4, -5, p, -3.\nAnswer: -5, -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149\/(-6)*-1 + (-1)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 2, l: 2, t: 10, z: 1, a: 2}. What is prob of sequence za?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a - 345740 + 627796 = -396556. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {y: 1, g: 1, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 9) in base 4?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/((-4)\/8). Let i = -2 + 1.8. What is the closest to i in x, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*sqrt(84))\/sqrt(12) - (5 + 4 + sqrt(7))).\nAnswer: -3*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(8\/12)\/(98\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/152 and 121\/87876?\nAnswer: 3339288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 229 + 297 = 0. Suppose 263 = -g + j. What is the third biggest value in -25, -0.1, g?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i - 2. Let k(x) = -x**2 + 4*x + 1. Let j be k(2). Let v(q) be the second derivative of -2*q**3\/3 - q**2\/2 - 693*q + 2. Determine j*v(b) - 2*d(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**4\/24 + r**3\/2 - 2*r**2 - 1. Let c(d) be the second derivative of j(d). Calculate c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10206 + 71?\nAnswer: 10277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 6*i + 7. Suppose -f + 151 - 2 = 0. Let r = f - 156. What is g(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/3, 1\/11, 0 in increasing order.\nAnswer: -38\/3, 0, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325034.\nAnswer: 2, 162517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 694 + 300726740\nAnswer: 300727434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 19. Let q = o + 20. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20442363 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(sqrt(80) + 1*sqrt(80)) + 1 + sqrt(80)*3 + -4 + sqrt(80)*-2 + 0 + -5)**2.\nAnswer: -704*sqrt(5) + 9746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 3:40 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*w + 44 = 248*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 283*x**2 - 327 + 658 - 317 to the form y + s*x + g*x**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 188731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 0.3. Let j = -0.0849 + 0.1365. Let l = -5.0516 + j. Which is the biggest value? (a) -1 (b) l (c) 0.5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.500982l in millilitres?\nAnswer: 5500.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 112*t + 4699. Calculate s(-32).\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z - 104 = -d, 2*z = -2. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 26 - 34 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 484*w**2 - 2013*w**2 - 15966*w**2 as f*w**2 + b*w + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12013979 rounded to two decimal places?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m**3 + 2*m + 193.\nAnswer: 18*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 8. Let g be o(6). Suppose 0 = -t + 2*s - 5, g*t + 2*s = -10. What is the remainder when 33 is divided by ((-3)\/(-2))\/(t\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:41 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 2*a**7\/21 + 2*a**6 + 18*a**5 + 90*a**4 + 270*a**3 + 486*a**2 - 2*a - 6. Solve w(r) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - p = -4*w - 11, 3*p = 3. Let t be ((2 - 2) + w)\/(-2). Sort 2, 0, t in ascending order.\nAnswer: 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**5 - 18*d**3 - 3*d**2 + 19*d. Suppose -2*c = -24 + 8. Let y(t) = -5*t**5 - 27*t**3 - 4*t**2 + 28*t. Let h(l) = c*m(l) - 5*y(l). Factor h(v).\nAnswer: v*(v - 3)*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2\/5 - 62354624*k\/5 = 0.\nAnswer: -15588656, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-16) - 2\/(-8). Let p = 0 + x. Solve 2*v + 5*c + 6 = -11, -p*c = -v + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -14. Let p be (39\/(-18))\/((-36)\/27). Let y = p + -23\/24. What is the biggest value in y, 0, -20, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (370\/(-74))\/((-190)\/1406)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 949 - -3390. List the prime factors of g.\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/783726261520 - -845546980921478743\/1106561134344102960. Let v = 4\/16229 + a. What is the common denominator of 43\/3 and v?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + (sqrt(7) - sqrt(21)\/sqrt(3)))**2 + (1*sqrt(1050))\/sqrt(6))*6.\nAnswer: 30*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - 5*j + 3. Let n be o(-5). Suppose p = -n*p. Let g(h) = -h + 5. Let d be g(p). Let s(z) = -z**3 + 6*z**2 - 3*z - 7. Give s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f**11)))**(3\/32)*f**(2\/7)*f**(-25) assuming f is positive.\nAnswer: f**(-1321\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -759 - -1310. Let f = r + -202. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d**3*h**3 - 229*d**3 - 22*d**2*h**3 wrt h?\nAnswer: 18*d**3*h**2 - 66*d**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3066645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 2\/7, 4, -0.28, 7, -5, -14 in descending order.\nAnswer: 7, 4, 3\/4, 2\/7, -0.28, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -v. Find the first derivative of 58 - 4*l**3 + 66 + 2*l**3 + 57 - 23*l**v + l**3 wrt l.\nAnswer: -3*l**2 - 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/12 - g**3 + 4*g**2 - 67*g. Suppose -22 + 4 = -3*y. What is l(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 23211885.\nAnswer: 23211888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from bqfmdkk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 12*u + 12. Let j(k) = k**3 - 6*k**2 - 8*k + 1. Let d be j(7). Let a be h(d). What are the prime factors of (2 - 21\/9)*0 - a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2. Let w(s) = -37*s**2 + 19*s**2 + 16*s**2. Give w(r(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 275225587 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3901888135304 and -0.69?\nAnswer: 3901888135304.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931) - (sqrt(931)*-1 + 0)))**2*-6.\nAnswer: -5586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -473673 in decreasing order.\nAnswer: -0.5, -3, -473673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(192) + sqrt(12) - sqrt(12)) + -2 + sqrt(1331).\nAnswer: -2 + 45*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99026453, 198052905, 297079357, 396105809?\n\"Answer: 99026452*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 7*z = 3*v - 19, 5*v + 7 = -3*z. Is 45 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -72. Find the first derivative of b - 4 - 21*u**3 + 9 - 15*u**3 wrt u.\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 18 + 52 = 0. Suppose -5*a + 13 = -12. Let s(k) = -k - 2. Let w be s(-2). Solve -3*p - p - a*o + 30 = 0, w = 4*p - 3*o - q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllellllllleell. What is prob of sequence lele?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -19*p**3 - 5*p**2 + 4*p. Let r(w) = -20*w**3 - 6*w**2 + 4*w. Let b(x) = -5*r(x) + 6*v(x). Find the second derivative of b(f) wrt f.\nAnswer: -84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/153 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20211120102 - 12221?\nAnswer: 20211100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -365*n. Let r(s) = 20*s**2 - 28*s**2 + 12*s**2. Give o(r(i)).\nAnswer: -1460*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.88 + 0.12. Let h be (-21)\/(-14)*(-4)\/3. Let f = 3.1 - 3. Which is the closest to f? (a) h (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w + 98 = -47*w + 56*w. Let j(d) = 70*d - 8. What is j(w)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305501.\nAnswer: 7, 19, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -481 - -3?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 72\/(-6) - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -101*b + 708. Let d be x(7). What is the highest common divisor of 449 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3 - 189.76?\nAnswer: -198.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 145 + x**2 - 838 + 360 + 178 + 155.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9797 + 9915. What is the remainder when 418 is divided by i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.53. Let u = -0.37 - g. Let o = 3.4 + u. What is the second biggest value in o, -3, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4839166*s**3 - 2*s**2 + 6804*s - 684.\nAnswer: -29034996*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 18 (c) 0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 2, o: 3, q: 1}. Give prob of sequence oa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709200630.\nAnswer: 2, 3, 5, 23, 114203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44930*c*z - 46905*z with respect to c.\nAnswer: -44930*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235 - 5?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4891 and -12603?\nAnswer: 7712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*-11*(-156)\/(-4862).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155343 - -159346. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 4, v: 3, h: 7, d: 4, r: 1}. Give prob of picking 1 b, 2 v, and 1 r.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/55168 and -65\/88.\nAnswer: 606848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/223, 105, -1\/9, 29, -4?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iffikfcksvsis. What is prob of sequence fsf?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 261*y - 273*y + 14074164. Suppose 0 = -6*l - y - 33777153. What is l rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 6. Let c(z) = -9*z + 17. Suppose 6 = f - 11. Let h(v) = f*d(v) + 6*c(v). Let y(n) = -2*n. Calculate y(h(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14040835 divided by -2808167.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 4*n)*(-3 + 1 + 3)*(2 + 2 - 1)*(2*n**2 + 2*n**2 - n**2) + 156*n - 15*n**3 - 156*n + (3*n - 3*n - n)*(0 + n**2 + 0).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-501)\/11022*30\/15?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -324, -322, -320?\n\"Answer: 2*k - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -9. Let j be 18\/15*(-10)\/c. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.8. Let d = -1142 - -612. Let b = d - -515. What is the second biggest value in b, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3087657 millilitres to litres.\nAnswer: 0.0003087657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5848492303 to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 865.9762 kilometers?\nAnswer: 86597620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -503 - -4426?\nAnswer: 3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**7\/105 + 83*l**5\/20 + 1907*l**3\/6 + 36*l**2. Differentiate g(m) with respect to m.\nAnswer: 8*m**3 + 498*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/30 + 37*w**2. Let b(i) = -17*i**2. What is b(d(f))?\nAnswer: -68*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1280 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 6*k + 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*b + 16758 = 144*b. Calculate the remainder when b is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k. Let b(c) be the first derivative of c**5\/12 - 9*c**2\/2 + 8. Let s(o) be the second derivative of b(o). Calculate t(s(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-24)\/(-9))*8\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + m + 25. Let r = -426 - -426. Determine d(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -3*r**4\/32 + 13*r**3\/2 - 727. Factor o(i).\nAnswer: -3*i**2*(i - 52)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, -0.3, -10, 0.\nAnswer: -10, -2.3, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f, -4*f = -w + 5*w + 12. Are w and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {q: 1, n: 2, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 + 4?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 22756\nAnswer: 3\/11378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165.9 - 166. Let f = 368 - 355. What is the closest to n in 5, 2\/5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757138 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - z - 96 = -4*z, -2*m = z - 38. Let a be (34\/51)\/(6\/(-5409) - 0). Let q = a + 686. What is the remainder when q is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 + 14*g + 9. Let u be b(4). Let q(i) = -5*i**2. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.59 + 0.64. Let f = -2.6 - -4.6. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9*3\/(-2241))\/(20 - 0). Is g smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 200 = -x, 3*a + x - 484 + 179 = 0. What is the remainder when a is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 10) in base 13?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99724772?\nAnswer: 2, 7, 1381, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a*t*u + 618*a*t + 4*a - 2112678*t*u - 9*t + 11 with respect to u.\nAnswer: 5*a*t - 2112678*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**2 + 5. Let k be x(4). Suppose -2*z + 46 = -3*v + 145, 0 = 5*v - 4*z - k. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12307227*r**2 - 5249112 wrt r?\nAnswer: 24614454*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:28 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {z: 1, s: 6, t: 1, y: 3, w: 3, b: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311293.4 - 6823.\nAnswer: -318116.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244 + -239.177. What is g rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 52*a**2 - 96*a + 202. Let q be v(-50). Factor 39\/5*j + 18\/5 - 3*j**q.\nAnswer: -3*(j - 3)*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Put 5, d, 0 in increasing order.\nAnswer: 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**6\/720 - w**5\/24 - w**4\/12 + 5*w**2\/2 - 2*w - 67. Let f(x) be the third derivative of d(x). Give f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3211685?\nAnswer: 3211685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 7 - 9*y - 18 + 12*y**2 - 5. Let u be q(11). Let k(i) = -i**3 + 5*i**2 + 7*i - 6. Calculate k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -95. Let p(w) = -2*w**4 - 18*w**3 - 42*w**2 - 20*w + 15. Let d(s) = -s**4 - s**3 - s**2 - s + 1. Let t(g) = q*d(g) + 4*p(g). Solve t(n) = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11))**(-7)\/(o**(-4\/5))**(4\/11) assuming o is positive.\nAnswer: o**(86\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -1404, -4, 4 in increasing order.\nAnswer: -1404, -4, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 397459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*s - 12. Suppose -u = -s - 16. Suppose 0 = -3*d + d - 5*c - 1, -4*d + 2*c + 58 = 0. Calculate the highest common factor of u and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/4*64\/(-200) - 2428566\/(-70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1056, 1018, 954, 864?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -562944397.7 to the nearest 100000.\nAnswer: -562900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*v + 23, -3*y = -5*v - 27 - 25. Calculate the least common multiple of 8 and y.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 3*d - 3. Let f be m(3). Let k be 5\/(f\/(-6)) + 2. Let r = -1384\/9 + 154. Which is the smallest value? (a) r (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113 and 117407?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -0.4, -2\/9, -0.32?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3 = 0, 2*h - 4*q = -7*q - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 10*s + 12 = 0. Solve 4*a + 0*h - 4*h - s = 0, -h = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 2*a - 3*a + (-201 - 206 + 382)*(0*a + 0*a - a).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1093 (base 10) to base 6\nAnswer: -5021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 14*b**2 + 18*b - 39. Let a(c) = c + 19. Let u be a(-4). What is the units digit of f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j + 1 + 8*j + 13*j + 6*j - 25*j to the form c*j + v and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118665 = 3*d + a, d - 880*a = -882*a + 39565. List the prime factors of d.\nAnswer: 37, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -965952*k**3*w**3 + 2*k**3*w**2 + 6*k**3 - 58232*k**2 - 3*k*w**2 wrt w.\nAnswer: -5795712*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v**2 + 5*v**2 - 13*v**2)*(-v - 2*v - 2*v)*(-3 + 0 + 4)*(-1 + 5 - 44).\nAnswer: -5000*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111101 (base 2) in base 3?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11727743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 43 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/108 - a**3\/18 - 40*a + 1. What is i in c(i) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11715)\/(-22))\/71*(2 + 14\/5). Solve -16*o + 28 = -u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 150 and 442712\/2971 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -519854 + 219604. What is d rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 4, -2\/17, 0, 3269 in ascending order.\nAnswer: -4, -2\/17, 0, 0.4, 4, 3269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c6e42 + -a?\nAnswer: 4c6e37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3030\/40*(-2)\/3*2. Let k = p - -103. What is the second derivative of 3*h**2 - 45*h**5 - 44*h - 2*h**k - h**2 wrt h?\nAnswer: -900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 435 and 870?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/((w*w**(-2\/11))\/w))\/w)*w)**(-6\/7)\/(w**(3\/10)\/w**10))**(-29\/2) assuming w is positive.\nAnswer: w**(-181801\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 23*p + 8. Let j(g) = 6*g**2 + 116*g - 39. Let f(k) = -2*j(k) - 11*l(k). Let w be f(20). Suppose w*r - 14*r + 596 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2. Let i be w(-1). Suppose i*u - 4*g = -0*u + 28, g + 4 = 0. What is the third biggest value in 0.6, 5, u?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -44*r**2 - 4*r + 5. Let p(j) be the first derivative of -j**2\/2 + j + 3909. Calculate -5*p(u) + w(u).\nAnswer: -44*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**5\/20 + 4*f**4 + 34*f**3 - 14*f**2 + 13. Determine n so that k(n) = 0.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 15015.\nAnswer: 75075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-3 - (-8 + 16 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*g - 25 = 0, f - 7*g = -9*g + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 4*t - 8. Let m be c(-6). Let n be (-22)\/55 + (-54)\/(-10). Solve n*p = -m*g + 12, -2*p - 4 = -4*g + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-111)\/(-15))\/(2\/10). Suppose -2*t + 6*t - 14 = 2*r, 4*r = -5*t + w. Find the second derivative of -f + 3*f - 20*f**3 + 18*f**r wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3003*z**2 + 76*z + 76. Determine r(-1).\nAnswer: 3003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915 + 909 = 24*m. Calculate the lowest common multiple of m and 171.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17955*v**2 + 1505*v - 8. Is a(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10910775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 166*k - 19. What is the tens digit of p(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 27863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 147.49 and -150498848?\nAnswer: 150498995.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11031.\nAnswer: 3, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0932+95.884\nAnswer: 95.7908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*c**2 - 286*c**2 - 420*c**2 - 37*c**2.\nAnswer: -896*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 3:38 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - 3*o - 40. What is l(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1933 divide 31655067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.24397 * -48.\nAnswer: -779.71056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 3*f**2 + f - 4*f**2 + 3*f**2 - 2*f**2 + (-2*f**2 + 0 + 0)*(-5 + 3 + 4) + f**2 - f**2 + f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -3*m, -6*u - m = -2*u - 4. Let y = 4 - u. Solve 4*o + 6 = -2*l, -y*l + 6 = -0*o - o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.66743 seconds to nanoseconds.\nAnswer: 2667430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:58 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let c = -3 + 2.93. Is k smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.22399 - 39.22179. Let b = u + 36. What is b rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*l + 5*u + 49, -3*l - u - 49 = 0. What is the hundreds digit of ((-8)\/6)\/(l\/1512)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from {l: 1, e: 5, y: 3, o: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 74*f - 26*f. Let a(b) = b**3 + 2*b**2 - 5*b + 2. Calculate a(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.69, -25, 0.48?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30217354933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 17. Suppose -15 = -4*v + 57. Suppose 2*m + 3*p = -13, 2*m + 0*p + v = -4*p. What is the highest common factor of q and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 78 + 12. Calculate the remainder when 69 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28856?\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -346*i + 16. Let l(u) = -175*u + 5. What is -5*l(k) + 2*r(k)?\nAnswer: 183*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 305 + 243 + 32 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/15 + 20\/6. Suppose 54 - 18 = h*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*n + 9 = 0, -3*v + 4*n = -n - 4. Suppose -11*y + 576 = -v*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 53\/2, 1, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express (m - 3*m + 0*m)*(-16 + 5 - 7)*(-1 + 0 - 1) in the form q + u*m and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 2*x**2 + 12*x + 56. Give f(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxyyyyyyyyy. Give prob of sequence xyxy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = -2*w, 3*y - 4 = 2*w - 0*y. Suppose 2*q + 2*a - 249 = a, -3*q - w*a + 361 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 2, x: 13, f: 1, y: 1}. What is prob of sequence rfry?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21592808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3278521, 6557041, 9835561, 13114081, 16392601, 19671121?\n\"Answer: 3278520*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 192\/378 - (-34)\/(-119). Which is the third smallest value? (a) -4 (b) 3\/5 (c) z (d) -3\/7 (e) -210\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, 12820, 1 in decreasing order.\nAnswer: 12820, 1, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -836.6974999 rounded to one decimal place?\nAnswer: -836.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**3*q)\/q*q**(8\/7)*(q*(q\/(q*q\/(q\/(q**(-1\/10)\/q*q*q*q))*q))\/q)\/(q**(2\/11)*q))\/((q**(5\/2)*q**(2\/11)\/q)\/(q**(1\/3)\/q*q)**(-19)) assuming q is positive.\nAnswer: q**(-8032\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -156, -520, -1218, -2358, -4048?\n\"Answer: -18*m**3 - 5*m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 5*h + 1. Let f be b(6). Let m = 754 - 760. Let n be (-12704986)\/f + m\/(-33). Round n to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((9\/(-12))\/(54\/(-48)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcccggggjcgcgccqg. Give prob of picking 2 c and 1 g.\nAnswer: 147\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 - -3. Let k = 0 - 1. What is the nearest to k in r, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130845869 to the nearest integer?\nAnswer: 11439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836)*2 - (sqrt(459) + (4*sqrt(459) - sqrt(459)))\/sqrt(9))\/((2*sqrt(75)*6 - sqrt(75)) + sqrt(75)*2*-1).\nAnswer: 8*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/374 - 743\/1870. Let w be -1 + -1 + 2*66. Let t be (-10)\/(-4)*8\/w. What is the second smallest value in 3, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 64*z + 11. Let q(i) = 2*i**2 - 109*i + 22. Let v(u) = 5*m(u) - 3*q(u). Determine v(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -v - 0*v, -4*v - 3 = i. Let u be (-5 - (v + -1))*-1. Let k = 218 + -216. Sort u, k, -0.5 in descending order.\nAnswer: u, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162912 is divided by 576?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (24 + -4 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1164*w - 1000*w - 1103*w - 2755*w - 1046*w)*(3 + 1 - 2).\nAnswer: -14136*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*l - 8 + 4 = 0, 4*m + 37 = -l + 41 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -326.53 - 2?\nAnswer: -328.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t)**(9\/13)*t**(2\/87)*t**(-27) assuming t is positive.\nAnswer: t**(-39124\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -1\/3*x**2 + 0 + 1\/6*x + 1\/6*x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2*(-1)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920120 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: What is prob of picking 3 a when three letters picked without replacement from {v: 7, a: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j**2*r**2*v**3 + 7*j**2*v**3 + j*r*v**3 + 5*j*v**2 + 13*r**2*v**2 + r**2*v wrt j.\nAnswer: 18*r**2*v**3 + 14*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 170*o**2 - 537*o + 61. Determine s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 2*g + 2*g - 1)*(6 + 10 - 9 + (-3 + 2 - 1)*(-1 + 2 - 3))*(-16*g**3 + 3 - 3) in the form z + b*g**4 + i*g + y*g**3 + h*g**2 and give y.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 13574052?\nAnswer: 135740520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*g - 8, -4*g = y - 199 + 223 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14435.\nAnswer: 5, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 205076741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165991.991 - 166412. Let k = v - -420. What is k rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 5*l - 9. Let t be h(-7). Let s be (2\/t)\/((-4 + 2)\/(-10)). Let a(f) = f. Let p(m) = 3*m - 2 + 2 + 1. Determine s*a(b) - p(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 12*u**3 + 87484*u**2 + 2555988*u + 842276 = 0.\nAnswer: -7261, -29, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1694\/(-336) + 2\/48\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*u = -119, -l + u - 5*u = -68. Let f be ((-10)\/(-15))\/(1\/l). Suppose -f + 2 = -2*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16580 to the nearest 100.\nAnswer: -16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.874 micrometers in meters?\nAnswer: 0.000708874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from {c: 6, w: 1, h: 5, s: 3, k: 2, z: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124047823 - 124047778.0000056. Let y = m - 45. What is y rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from tvxvtqxqvqxt?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.596067 litres?\nAnswer: 1596.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203\/35 + -6)\/(78\/52)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3 - 57*f**2*y**2 - 2*f**2*y - 13820*f**2 + 3*f*y + 31*f + 17503*y**2 wrt f.\nAnswer: -12*f - 114*y**2 - 4*y - 27640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + 819\/(-3))*(-4)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p + 2*p - 51500372. Let u = -7541044 + p. Let n = -8359192 - u. Round n to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11080942 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-25)\/(-4)))\/(155\/(-1550)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 22. Let f = -18 + r. Find the second derivative of 0*t + 5*t**f - t - 4*t - t wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145900*b**3 + 59106*b wrt b?\nAnswer: 875400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45559 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -595989 and -0.1293889002.\nAnswer: -595989.1293889002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h - 5*h. What is the units digit of 14\/(h\/(-4)*-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45169*m**4 + 220*m**3 + 76448857*m**2?\nAnswer: -1084056*m + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19740, -19747, -19754, -19761, -19768, -19775?\n\"Answer: -7*b - 19733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15434 is divided by 350.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 4. Let j(l) = -48*l**2 - 7 - 15*l**2 + 29*l**2 + 41*l**2 + 11*l. Is j(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 3, -25, -53, -81?\n\"Answer: -28*r + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 5*i - 2. Let m be y(7). Suppose 4*j + m = j. Let f be -1 + (1 - (0 - j)). What is the smallest value in -6, f, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 3, l: 1, z: 3, t: 5}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33948.7622 rounded to the nearest ten?\nAnswer: -33950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/3*54\/63*(-168)\/(-12).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-75)\/(-100)*-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.104619 * -5\nAnswer: 0.523095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 14. Let y = -5 - 9. Let a = y - n. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26023 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-8)\/10)*(-534 + 534). Which is the nearest to -1? (a) -1 (b) -76 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 111111011?\nAnswer: 111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 156990258.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + -4 + 5).\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 1, 4.\nAnswer: 1, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 v, and 1 a when four letters picked without replacement from {a: 3, n: 2, x: 1, v: 3, w: 1, b: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, 1, 2, -39 in ascending order.\nAnswer: -39, -4, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 - 5*l**2 + 5*l - 1. Let h(q) = -3 + 0*q**3 - 4*q**2 - 4*q**3 + 3 + 4*q. Let t(g) = -3*h(g) + 2*s(g). Factor t(m).\nAnswer: 2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16 = -2*k, 2*y + 6*k = 4*k + 10. Let x(d) = d + 5. Let r be x(-3). Let o = 11 - r. Calculate the least common multiple of y and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 20, -2*p + 5*k = -p - 26. Suppose -5*a + 12 = -0*w + w, 0 = 2*w + a - p. What is the lowest common multiple of 34 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d + 348 - 522 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 8a51299?\nAnswer: 8a51297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x**(-3\/5)*x\/((x\/(x*x\/((x\/(x**3*x))\/x)*x))\/x)*x**(-1\/8))**(-4\/5) assuming x is positive.\nAnswer: x**(-99\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1}. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3135*c + 385. Let u(z) be the first derivative of -49*z**2\/2 + 6*z - 10902. Give 6*f(k) - 385*u(k).\nAnswer: 55*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48324947 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183.1 - -183. Which is the nearest to q? (a) -0.4 (b) 0.04 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**17)\/(u*u*u**(-6\/11)*u) assuming u is positive.\nAnswer: u**(171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 2}. What is prob of sequence ss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8107 - -8102.851. Let d = h - -0.149. What is the third smallest value in d, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2345 and -2347 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746115009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 1\/4 (b) 0.5 (c) -1\/13 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 10*y**2 + 12*y - 11. What are the prime factors of d(10)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3710.552 minutes?\nAnswer: 222633120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -0.2 (c) 0.127 (d) 1 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 990*i + 12 = -991*i, 0 = -5*z + 5*i + 45 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -490\/59 >= 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (sqrt(4)\/sqrt(2) + sqrt(2))*2)**2.\nAnswer: 24*sqrt(2) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9727958 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.046 + -0.046. What is the third biggest value in q, -4, 140?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.8 + -37. Let b = y + 7.2. Sort b, 0.2, -5 in ascending order.\nAnswer: -5, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 12*w + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*i**3 - 8\/3*i**2 - 2*i + 0.\nAnswer: -2*i*(i + 1)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545273144.\nAnswer: 2, 13, 23, 37, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 1083.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2. Let b(z) = 18*z**2 - z - 2. What is b(g) + 6*q(g)?\nAnswer: 6*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17892 rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 9*c + 397. Let d be g(-16). Let i(o) = o - 12. Calculate i(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.6. Let v = 0.2 + l. Which is the nearest to -1? (a) 1\/6 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a*a\/(a*a*a*a**(2\/9)*a)))**(-3\/5)*a**(-2\/43)*a*(a*a*a**9\/a*a)\/a)**(-48) assuming a is positive.\nAnswer: a**(-93088\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, 34, 33?\n\"Answer: -t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-14) - 1) + 162\/21. Let t = 57 + g. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.8253 - 0.9395. Let a = b + -1.2612. Let w = a + 18. What is w rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-14 + 20) - (0 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -28*q**2 - q + 1. What is b(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + 187. Let y be 3\/((-9)\/x) + (-25)\/(-15). Sort 4, 3, 6, y in increasing order.\nAnswer: y, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/1025 - 19481\/6150. Let p = r - -17\/3. What is the closest to 1\/2 in -6, -1, p, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmsz when four letters picked without replacement from {m: 1, a: 1, z: 1, s: 1, d: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/7 - 2\/7. Let b = 2919 + -2915. Let o be 1 + ((-6)\/(-2) - -1). Sort b, o, -3, i in decreasing order.\nAnswer: o, b, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 314, 1043, 2480, 4865, 8438, 13439?\nAnswer: 20108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5308*h**3 + h**2 + 2*h + 832 wrt h.\nAnswer: 31848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2 - -1)*2. Let r = 10 - y. Put r, 3, 8 in ascending order.\nAnswer: 3, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22216 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 6*f**2 + 5*f + 3. Let b(i) = -4*i**2 - 25*i - 9. Let d be b(-6). Let l be n(d). Solve -3*q - 17 = -4*k, -2*q = -2*k + l - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2561 + 0?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/32464 and 71\/36522.\nAnswer: 292176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13.596+10\nAnswer: -3.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 18266, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -203\/1987890 and -25\/737.\nAnswer: 21866790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 6*t**2 + 8 - 3*t**2 + 5*t**2 + 0*t**2 + (t + t**2 - t)*(-2 - 1 + 2) + 33*t + 43*t**2 - 33*t.\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 4*a + 2*a + (-31 - 3 + 7)*(-1 + a + 1).\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbcbbbwwb. Give prob of sequence bwbb.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -0.1566.\nAnswer: -0.6566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 26 = -2*c + 2*a, -44*c - 23 - 73 = -62*c + 3*a for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 316 (base 11) to base 2\nAnswer: 101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 213412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - r + r + (-1 - 2 + 4)*(r - r - r) + r + 2*r - 6*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 846779423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163.98922 - -164. Let f = -0.01 + r. Round f to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*j + 5*x - 224, 4*j + 2*x = 212. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4653190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 2:34 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 2*t**3 - 2*t**2 - 4*t**2 - 2 - 2*t**2 - 3*t**4 + 5*t**2 to the form s*t + h + x*t**3 + a*t**2 + d*t**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:15 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*y = 298*y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246048489*l**3 + 136573904*l**2 wrt l?\nAnswer: 1476290934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 9:21 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*o - 0 + 7, 2*o = -x. Suppose m = 26 + o. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/14*-135499 + (-3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310499703 to the power of 1\/3, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14) - 51\/((-4998)\/(-154)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-5)*45\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/61781, 1\/9, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and -0.92.\nAnswer: 49.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*c**3 - 183*c**3 + 88*c**3 + 6*c.\nAnswer: -4*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*i + 31*i + 1610. Put i, 1, -4 in ascending order.\nAnswer: -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5012)\/120)\/179)\/(-7).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + p - 5. Let a(x) = -5*x**2 - x - 5. Let c(k) = 2*a(k) - 3*r(k). Determine c(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9190634 < 9190636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -u - 73, -3*j + 3*u = -47 - 64. Suppose 0 = 2531*p - 2522*p - j. Suppose 58\/11*r**2 + 78\/11*r + 18\/11*r**3 + 2\/11*r**p + 36\/11 = 0. What is r?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-4))\/(-5))\/((-8)\/(-32))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 638.93 times 2?\nAnswer: 1277.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 844, 1651, 2458, 3265, 4072, 4879?\nAnswer: 5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -198a7 (base 12) to base 9\nAnswer: -56471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n - 139. Let j = -11 + 21. Calculate the remainder when b(-28) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 0. Let b be -3 + y + (-12)\/(-3). Solve 4*k + b = 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -1\/4, 1611, 4, 0.5 in increasing order.\nAnswer: -1\/4, 1\/9, 0.5, 4, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-468)\/2325)\/(7\/((-140)\/8)). Let n = -839\/620 + m. Calculate the common denominator of n and 74\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**3 + 4*c**2 + 9*c + 7. What is f(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flffvlvvlfvfff. Give prob of picking 1 v and 3 l.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -2\/3*k**3 - 1\/2*k**2 - 3*k + 0. Differentiate g(w) with respect to w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 45. Let v be r(14). List the prime factors of -5*(-4 - -1118)\/(v + -13).\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2\/7, -0.05, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/9 - 334*h\/9 - 676\/9 = 0.\nAnswer: -2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 224*v**3 + 9 - 225*v**3.\nAnswer: -v**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.31 (b) -31 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/205 and -17\/140?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.07 (b) -0.127 (c) -248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*s - 8 = 2*y, 3*y + s + 6 = 0. Let u be (-23 + 8)*(y - (5 + -3)). Sort 0, u, -3.\nAnswer: -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -29. Let y = u + 1.2. Which is the closest to -0.2? (a) 5 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + (-9480)\/(-495))*(-7)\/((-105)\/(-6))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -444 in -0.0154, -3, 7\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67787 is divided by 49?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-10)\/(-4) + -2). Let h(a) = 8*a**2 - a + 1. What is h(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20202.64kg to nanograms.\nAnswer: 20202640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 10. Let n be r(7). Suppose -2*w - 2*h - 71 = -9, n*w - h = -77. What are the prime factors of (-2)\/(60\/w + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 8*n**2 + 6*n + 4. Suppose l + 4*d + 21 = 0, -l + 5*d - d + 11 = 0. Let x be (3\/(-2) - 7\/(-2))*l. What is the hundreds digit of f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2946*x**2 + 273976*x - 225. Give s(-93).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b + 0 - 1\/24*b**4 + 0*b**3 + 3*b**2. Let i(w) = w. What is f(i(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 1. Let v(m) = 5 + 10*m + 57*m**2 - 4*m - 56*m**2. Let q(p) = 35*u(p) - 5*v(p). Factor q(g).\nAnswer: -5*(g - 6)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*d + 93*d - 56 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 70860+170240\nAnswer: 241100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:29 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19, -5060, 4\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-14)\/3 + 5. What is the tens digit of 19920\/80 - -1*y\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -33*a**3 + 26*a**2 - a - 4. Calculate the remainder when q(-2) is divided by 122.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w - 4 = 0, 2*g - 1891 = w. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - (-5 + 2)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8453244 divided by -12.\nAnswer: 704437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001010 - -1010111110101010?\nAnswer: 1010100000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-90))\/((-4)\/(-9)). What is the biggest value in 0.15, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-4))\/(-2)*-1)\/((-10)\/330*33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2617*m**2 + 2667*m**2 - 1642*m**2.\nAnswer: 3642*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) 2 (b) -6\/11 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 11. Suppose 0 = -4*f + 56 + 80. Let n = -23 + f. Let h be t(n). Solve -k + 5*k - 16 = h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-30)*(-8)\/12*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5 = 2*l. Suppose 12*k - 40 = 2*d + 13*k, d + 20 = 5*k. Let i be 49\/195 + (64\/d - -3). Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 0 = -3*t - 4*x, 0 = -3*t + 3*x + 9. Let l(o) = -2*o**3 + o**2 - o - 1. Let z be l(t). Solve 0 = -3*i + 2*i - z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, n: 2, d: 5}. Give prob of picking 2 n and 1 d.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27ada4 (base 14) to base 6.\nAnswer: -45244152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + a17c0?\nAnswer: a17ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68707890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Factor 961*t**4 + 1688322*t**3 + 719982981*t**2 - 18925000380*t + 120749300100.\nAnswer: (t + 891)**2*(31*t - 390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18092019 and -51\/77.\nAnswer: 126644133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 1. Let f be q(-4). Let l = 11 + f. Suppose -4*s - 10 = 2*z, 13 = -15*z + 18*z - s. Solve -z*n = n - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -11. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**3 + p**2 - p**2)*(3 - 3*p - 3) - 9*p + 9*p - 4*p**4 to the form k + c*p**2 + m*p + d*p**4 + n*p**3 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 210973831*z**4 + 990772*z**2 + 18*z wrt z.\nAnswer: 5063371944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2.393?\nAnswer: -1.1965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.994246+5\nAnswer: 3.005754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 15*j + 63*j - 4 + 2 as s + k*j and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**3 + 166*b**3 + 45*b**3 + 0*b**3 - 2.\nAnswer: 174*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b = 14*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(252)\/sqrt(4) + 2) + 2 + 3 + sqrt(63) + sqrt(63) + 2 + -1)**2.\nAnswer: 144*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (8 + -2)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22190*t**2 - 177523*t - 17. Give f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.11 + 43.1. Sort 0, -1, c.\nAnswer: -1, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268\/(-18) - (7396\/387 - 19).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = 3*b - 3*y - 16, 3*y = 3*b + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -30. Let v = o - -3. Let r be ((-1)\/v)\/(20\/40). What is the third biggest value in r, 8, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274389090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = -r. Let j = 24662 + -24644. What is the greatest common factor of r and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djd when three letters picked without replacement from {j: 12, d: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.716 - -0.284. Which is the second biggest value? (a) -5 (b) 0.23 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - y**3 + 1 - 4 + 506004*y - 506066*y.\nAnswer: -y**3 - 62*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4126, -1\/3, -3, -14.81 in increasing order.\nAnswer: -14.81, -3, -1\/3, -3\/4126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*j = 1308, -986 = -3*u - 22*j + 27*j. Let a = u + -314. Solve 0 = 2*o + 2*o - a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -145*b**2\/2 - 17*b + 35. Calculate the remainder when z(-1) is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**3\/3 - 2*q. Let d(r) = -12*r + 11. Let m = 20 - 18. Let f(p) = -p + 1. Let n(t) = m*d(t) - 22*f(t). Determine n(o(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-18)*33\/(-132))\/((-3)\/45)*-10.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**4 + 8*r**3*v**2 + 10*r**3 - 163*r**2*v**2 wrt r?\nAnswer: 24*r + 48*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 961*s**7\/210 + 27*s**4 - 100*s**2 - 1. Find the second derivative of c(t) wrt t.\nAnswer: 11532*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -4*k + 105. Suppose 5*r - 1 = -n, r = 4*n + 5*r - k. Let x = n - 8. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8730, -17316, -25832, -34278, -42654?\n\"Answer: 35*q**2 - 8691*q - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.0702\nAnswer: 0.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/(-15) - 10 - -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*-1*(-4)\/(-8). Suppose -5*c + 15 = -10. What is the highest common factor of c and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -31 - 9. Let g = 7 + t. Does g = 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 50. Let u be 50\/(-15) + (-1 + 1 - o). Is -2 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Suppose 0*l + y*l = 0. Factor 3*n**4 - 2*n**3 - 2*n**4 + n**2 + l*n**3.\nAnswer: n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217234 take away 0.29033?\nAnswer: -217234.29033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -27. What is the highest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**2 - 8*u**2 - 3*u**3 + (-u**2 + 2*u**3 + u**2)*(3 - 5 - 3) + u**3 - u**2 + u**2 + (-1 + 2*u + 1)*(-4*u**2 + 4*u**2 - 2*u**2).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -g + 2, -b - g - 5 = b. Let n be 94\/(-16)*(-4)\/3. Let l = n + -28\/3. Which is bigger: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*o - 10, 0 = -0*w + 2*w - 2*o - 10. Suppose w = 2*s - s + 4, -13 = -y + 3*s. Suppose 2*f - y = 9. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -29*d + 3. Let m be x(-3). Suppose -5*b - 4*k - 242 + 271 = 0, k - 11 = -2*b. What is the greatest common divisor of b and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*u**2 + 208*j**2*u - 50*j*u**4 - 2*u wrt u.\nAnswer: 2*j**2 - 600*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 90. Let t = -14 - q. Let a(f) = 0 - 8*f + t*f**2 - 10 - f**2 + f. Calculate a(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328118045.\nAnswer: 5, 47, 1396247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-130))\/((6\/14)\/(4*(-1560)\/(-1456))).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**13))\/(a\/(a*(a*a**(-8))\/a*a))*a**1*a*a*a*a*a**(6\/13) assuming a is positive.\nAnswer: a**(149\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -155, 2, 1, 65, 0 in decreasing order.\nAnswer: 65, 2, 1, 0, -1, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 20. What are the prime factors of u(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -44*s - 1. Let u be 24\/(-32) + (-25)\/4. Is i(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/770?\nAnswer: -3\/770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2780100493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/3))**31*(n*n\/(n*n*n**(-2)*n*n))**(-50))**(-22\/5))**(-3\/29) assuming n is positive.\nAnswer: n**(682\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + 3141\/15. Suppose -3*j - 62 = -d, 4*d - f = j - 2*j. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26151 - 6.\nAnswer: 26145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/11 + (-6)\/(-33). Let i(w) = 1234*w**2 + 14*w - 6*w - 1252*w**2 + 2*w**3 - 5. Is i(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.9. Let l(x) = -9*x**2 - 1088*x + 119. Let z be l(-121). Which is the second biggest value? (a) 4 (b) -0.4 (c) m (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, y: 5, h: 1, p: 5}. Give prob of sequence pyhm.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**2 + 24*m**2 + 0*m**2 - 5*m**2 - 8*m**2. Let q = 13 + 5. Let v(l) = q*l + 0*l + 6*l. Give v(u(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51740)\/(-120) + 2\/(-12). Let k = u - 291. Suppose k + 100 = 6*w. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153\/4 + 38. Which is the nearest to t? (a) 0.2 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -14\/5, -2, -1\/5 in decreasing order.\nAnswer: -1\/5, -1.2, -2, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(-33) - 68\/(-6). Let w(o) = 2*o**2 - 4*o - 104. What is the remainder when 205 is divided by w(z)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2855098.8 milliseconds to days.\nAnswer: 0.033045125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -9, -0.3, 30, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*sqrt(13) + sqrt(13) + sqrt(13))*1*5 - (sqrt(208)*-3*-6)**2).\nAnswer: -67392 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-150820*a**2 + 75413*a**2 - 4 + 1354*a + 75408*a**2)*(-2*a + 3*a - 3*a)*(2*a + 0*a - 5*a) to p*a**2 + x*a**4 + l*a**3 + g + h*a and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 9424*m - 1207680.\nAnswer: -4*(m + 136)*(m + 2220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*n**3 + 3\/2*n**2 + 0 + 1\/4*n = 0. Calculate n.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**5\/15 + a**4\/6 - a**2\/3 - a\/3 - 6. Let z(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3*15\/(-20))\/((-137)\/((-154125)\/1250))\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-4) + (-10887)\/(-38).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 7*w**2 + 8*w. Suppose 5*t + m = 37, 3*t - 2*m - 14 - 3 = 0. Let u = 13 - t. What are the prime factors of n(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 + -8 + -10)*(-7 + (-222)\/(-30))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 44*w - 49*w + 10626, 3*d = 6. What is the greatest common factor of 59 and w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 + -265.8. Round z to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4 - 4 - s - 6*s**2 + 3 - 8. Let c(q) = 11*q**2 + 2*q + 9. Let k be 13\/2 - (-1)\/2. Give k*p(z) + 4*c(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -385 - -380. Let z be 1 - 0 - (1 + 1). Sort 0, o, z in increasing order.\nAnswer: o, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 96 (b) -7 (c) 2427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211 - -193. Let l = c + 22. Solve 3*j - l*j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 10) to base 4\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a - 4. Let s be w(3). Let q = s + -2. Let r be (-2)\/(((-1)\/(-2))\/(q + -1)). Solve -r*z + 3*y = -5, -4*y + 3*y = 4*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4 - ((-45)\/6 + 6). Suppose -5*w - 68712 = -4*s, 2*s - a*w - 41507 + 7153 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -11?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose -10 + x = -2*s. Suppose m = -s*m + 148. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**3 - 32*s - 37. Let z(h) be the first derivative of j(h). Let p(o) = -3*o**2. Determine z(p(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 38*z + 270 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 41\/2 of a week?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 1538 + 2092 = -1861. Solve -371 = -12*x - t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**2*i)*i)\/i)**(-26)*(i**0)**(-1\/5) assuming i is positive.\nAnswer: i**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1735?\nAnswer: 1735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 + 26*p**2 + 7*p + 9. Determine k(7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 5:05 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1480 * 3\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18124 * -534.\nAnswer: -9678216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2835 is divided by 1243.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27 - -4)\/(1\/4). Let n be x\/(-9) - 4\/18. Calculate the highest common divisor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65565 - 0.157.\nAnswer: -65565.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3137394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20572.9 - -20572. Suppose 0 = -3*d + 8*d. Which is the third smallest value? (a) s (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 25, 81, 189, 367, 633, 1005?\n\"Answer: 3*l**3 - l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 2*x. Let d(q) = q**3 + 9*q**2 - 2*q - 16. Let b be d(-9). Suppose -4*z = -b*i + 6, -3*z = -8*z - 4*i - 14. Calculate l(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13026377 a multiple of 888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -27*h - 12. Let x be g(-1). Solve 2*r - 5 + x = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = 7*m + 21*m + 65 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - q - 2*q = 0, -5*x + 5*q = 0. Let b be (-4)\/(-14) - (-261)\/42. Let f = 6 - b. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose -11 = 68*w - 283. Suppose -5*h = 0, f - 45 = w*h + a. What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-151425)\/(-10095))\/(10\/(-52)*-2)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1318953 - -17.7846\nAnswer: 1318970.7846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 397957249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**2 - 1075*z. Let j(t) = 80*t**2. Give w(j(n)).\nAnswer: -38400*n**4 - 86000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 3587023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -94*t**3 - t**2 - t - 1. Let f be o(-1). Let l be ((-16)\/(-14))\/(14\/49). Suppose z - l*z = -f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.158 and 72?\nAnswer: -11.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11175577437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + (-539)\/(-22))*(-4)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(1152)*-4)\/(2*(sqrt(100)*1 + sqrt(100)) + 1*((2*sqrt(100) - sqrt(100)) + sqrt(100))).\nAnswer: -32*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:16 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146265, -146247, -146197, -146097, -145929?\nAnswer: -145675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343911643 and 79336.\nAnswer: 9917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -274 - 5725*f - 157 - 1008 + 5726*f as y + z*f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -10, -1213.\nAnswer: -1213, -10, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/23 - -35\/92. Let n = 0.5 - -94.5. Let l = n + -96. What is the closest to 1 in l, 2\/7, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 2*v**2 - v - 2. Suppose i = -2*t - t + 11, -2*i + 13 = 3*t. Let o be u(t). Suppose -o*r - 8 = -40. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1603 or -2\/269?\nAnswer: 1\/1603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 983 = 3*g + 4*f, 2*g + 2*f - 654 = -0*g. Let q be 2\/8 - g\/20. List the prime factors of (q + -2)*5\/(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 29*r - 10. Suppose -11*l + 88 = -7*l. Let d be p(l). Let z = -18 - d. What is the remainder when z is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/5*(-130)\/(-16) and (-18)\/(-225)*(-870)\/(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -1697?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2)**(-5) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.4 - -2.4. Let a = -0.08 + -3.92. Put a, -2\/5, t in ascending order.\nAnswer: t, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 + (-24)\/(-9). Suppose 3*u - 4*g - m = -19, 4*g - 20 = 0. Let l(k) = u + 11*k - 22*k + 2*k**2 + 12*k. Give l(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 7*a**2 + 5. Let g be o(-7). Let u = -5 + 7. Let b(f) = -12*f + 7 - f**2 + 2*f**u + 4*f. What is b(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 1 - 16. Suppose -c - 65 - 281 = -u*p, -3*p - 5*c + 202 = 0. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2894561553?\nAnswer: 3, 13, 317, 234131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.5963. Round f to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**18*d*(d*(d*d*d\/d**(-2\/5))\/d)\/d assuming d is positive.\nAnswer: d**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.229 and 1638735.2?\nAnswer: 1638731.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/7))**19\/(y**8\/y**(-1\/6)) assuming y is positive.\nAnswer: y**(341\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80141.\nAnswer: 80141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121\/847)\/((-8)\/168).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 423 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-5))\/(8\/20). Put -1, 10, g in decreasing order.\nAnswer: 10, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggog. What is prob of sequence gogg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 8*j - 1. Let n be g(-8). What are the prime factors of (-2 - n)\/(1\/(-17))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3757639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 10307682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(2*y**3 - 2*y**3 - y**3) - 5*y**3 + 5*y**3 + y**3 + (-7 + 8*y + 7)*(-2 + 2 - 2*y**2).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(3 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 25*a + 25. Calculate x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 + 192. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2540 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68944 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o**3*z**2 - 262820*o**3 - 41*o**2*z - 51*z**2 wrt z.\nAnswer: -10*o**3*z - 41*o**2 - 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/25)*z)**44)**(-48) assuming z is positive.\nAnswer: z**(-103488\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87b5 (base 16) to base 2.\nAnswer: -1000011110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 15*b - 98. Let x be v(-20). Factor -7*a**3 - 1 + 25 - 92*a + 2*a**4 + 94*a**x - 30*a**3 + 3*a**4.\nAnswer: (a - 3)*(a - 2)**2*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -77*u**6\/120 - 41*u**4\/24 + 106*u**2. Find the second derivative of c(x) wrt x.\nAnswer: -462*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -19784*f - f**2 + 1 + 9474*f + 10304*f. Suppose 0 = n - 4*n. Suppose 4 = -2*c - 4*h, 2*h + n = c + 6. Calculate l(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 4, -0.123784?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 3*z**3 + 5*z**3 - 10*z**3 + 5*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 117\/99 + (-4)\/22. Let f = 8 - 4. Let p = 2 - f. What is the nearest to g in -0.2, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -961.000085 + 961. Round c to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 13*n**2 - 2*n + 16. What is g(13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*m - 227 = 343 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**3 + 12*z**2 + 10*z - 2. Determine q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*x - 3*q - 0, x + 4 = -2*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*g - 58 = 0, 2*m + 3*m + 4*g + 226 = 0. Let w = -27858 + 501311\/18. What is the common denominator of w and 1 + -3 + (-303)\/m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 16*m + 17. Calculate f(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4707*4\/24 + 14. Which is smaller: d or -772?\nAnswer: -772","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 24.5, 0 in decreasing order.\nAnswer: 24.5, 0, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-256*f - 143*f + 172*f)*(5 - f - 3 + 2) to the form s*f**2 + j + b*f and give s.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/8)\/r*r**(-2)*r)\/(r\/(r**(-8)*r)*r**6) assuming r is positive.\nAnswer: r**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 103894*m**3\/3 - 196*m**2 - 245*m. Let w be o(-16). What is w rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008874844 to five dps.\nAnswer: -0.00887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634600 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1206060, -1206057, -1206054, -1206051?\n\"Answer: 3*s - 1206063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168937102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23534 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/2)\/(b\/((((b\/(b**6*b))\/b*b)\/b)\/b)))\/(b**(-1)*b*b)**(-2\/15))**(-11\/5) assuming b is positive.\nAnswer: b**(2431\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 285434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 24*j = -7*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.2604 + 0.2604. Which is the nearest to n? (a) 3 (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - n + 75. Give v(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 9*s**3 + 1 - 2*s - 1 to p + f*s**2 + d*s**3 + t*s and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35944745297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 - 33*z**2 - 5*z - 26. Let d(o) = 22*o**3 + 110*o**2 + 15*o + 77. Calculate 3*d(m) + 10*f(m).\nAnswer: -4*m**3 - 5*m - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/912471 greater than -1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6094, 5995, 5896?\n\"Answer: -99*w + 6193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27969625*s**4 - 50578016 wrt s?\nAnswer: 111878500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-1)\/(-2))*-2. Suppose 3*k + 38 = h*k. Suppose 0 = 6*v - 2*v - 28. Calculate the remainder when k is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175993166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w = 43 - 131 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2848 - 28599\/10. Let u be 1\/(-2 - (-465)\/233). Let l = 1681\/7 + u. Calculate the common denominator of o and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 5*h**2 + 13*h - 40. Let q be g(6). Suppose 2*k - 4*k - 3*c = -116, -132 = -q*k + c. Calculate the lowest common multiple of 3 and k.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(18\/(-4)) - -46 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1. Let b(q) = -9*q**2 - 2*q - 2. Give -b(o) + 2*w(o).\nAnswer: 9*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -481 - -481. Suppose -2*g + 2381 = -q, l = -4*g - 4*q + 1140 + 3652. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/5 (b) -4\/5 (c) -1\/4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 203 = -3*o + 2*o, -c + 37 = -o. Let y = 30 + -10. What is the highest common divisor of y and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64979 - 64705.71. What is s rounded to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + 190\/(-20) - (-18)\/(-4). What is the tens digit of (-10 - -11)\/(g\/3428*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -718 + 398. Round x to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15517*l + 3 = -15516*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572*c - 3*p = -569*c - 3123, -1046 = -c + 4*p. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 12:11 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 - 2009705?\nAnswer: -2009796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 0 + 0 + (-2 - 2*y + 2)*(12 - 2 + 10) + 3*y + 2*y - 7*y.\nAnswer: -44*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21565*-434.7\nAnswer: 9374305.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 31*w**2 + 8*w - 4. Let r be d(-12). Suppose y + 5*q - 3444 = 0, 3*y - r = -2*q + 5981. Suppose y = 3*i - 184. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71\/58 - 3\/116. Let g = -0.3 - 0.2. Which is the third smallest value? (a) r (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 2637490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5723*g**2 - 473 - 475 + 948.\nAnswer: 5723*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 2*l**2 - 5*l + 4. Let d be v(3). Let m(g) be the third derivative of -g**6\/120 - g**5\/60 + g**4\/24 - g**3\/3 - 478*g**2. Give m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 4. Let j be d(-6). Let z be (-71 + j)*(-24)\/9. Let n = z - 35. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 64. Solve 8*z - 3*z + g = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3 - a + 14*a - 12*a. What is f(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 15. Suppose -2*c - 2 = 2*q + 8, 2*c = 4*q + 32. What is the lowest common multiple of 48 and a(q)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 2790 = -2*t. Let m = 166 + t. Which is bigger: m or 9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1167*b - 1148*b - 1516 + 148 = 0. What is the remainder when b is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2357*k - 5367 + 18635 - 2356*k.\nAnswer: k + 13268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 1 - (-6 + 2)) + 0. Let w be (d\/(-526))\/((-6)\/(-144)). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*m**3 + 13*m - 14 wrt m?\nAnswer: -720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/60 + i**5\/30 - i**4\/6 + 8*i**2. Factor c(z).\nAnswer: 2*z*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 1 = -26*l + 4*n, 2*l - 13 = -3*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11801849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/60 + i**4\/12 - 4*i**3\/3 - 1637*i**2. What is b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3\/4 - 9*j**2\/4 - 6*j - 5 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.83663 nanometers to millimeters.\nAnswer: 0.00000883663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -46. Let r be (6\/18)\/((-1)\/(-6)). Let s(j) = 1 + 2 - j**r + 4*j - 6*j. Give s(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111111110000 (base 2) to base 8.\nAnswer: -107760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -8 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 12*k**2 + 9*k - 10. What is c(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*w = 2*w - 8, -5*r - 5*w = 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79\/185 + 1\/37. Let t = -21267\/7 - -3039. Which is the closest to t? (a) j (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/60 - 3*b**2. Let j(x) = -5*x**2 - 4. Let m(k) = j(k) - 6*z(k). What is m(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 10, -5*o = t - 325. Suppose o = 6*v - 0. What is the smallest common multiple of v and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l*l\/(l\/l**2)*l)*l*l)\/(l\/(l*(l*l**9)\/l*l*l*l))*(l*l**(1\/8))\/((l\/(l*l\/l**(1\/4))*l*l)\/l) assuming l is positive.\nAnswer: l**(95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35 in 31, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44.17, -11, 0, -3, -1\/18, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2141548*j**4 - 10*j - 605275?\nAnswer: -25698576*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.397 - -10.95.\nAnswer: 0.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 3*x**2 - 5*x + 4. Let w(q) = -q**2 - 17*q + 4. Let l be w(-17). Let b be n(l). Solve -2*o - 3*o + 15 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20\/9 + 14\/9. Let t = -2188\/24633 - -2\/1071. Which is the third smallest value? (a) d (b) t (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 + 6*w. Let x(a) = 99*a**2 + 121*a. Let h(s) = 121*u(s) - 6*x(s). Let b(i) = 3*i. What is h(b(k))?\nAnswer: 99*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 591 or 110588?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 - 102 = 0. Is 72\/x - (-8437)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 5*j = 5*w - 29, -4*w + 15*j = 12*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114441*p**2 - 228563*p**2 + 114109*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -17. Suppose z*u + 120 = 5*w, w = 3*u + 19 + 5. Let r = 27 - w. Solve -2*o - r = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1\/(-3)*3)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.72 (b) 85 (c) 4 (d) 2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let b(a) be the first derivative of a**6\/180 + 57*a**5\/40 + 8*a**3 + a - 39. Let c(z) be the third derivative of b(z). Calculate k(c(n)).\nAnswer: -4*n**2 - 342*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 16*u**2 - u**2 - 5*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 764542255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228 divided by 557?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -1430, 0.03, -2\/13, 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand 105*w - 7*w**4 - 2*w**4 - 43*w + 0*w**2 - w**4 + 0*w**2 + (2*w**3 + 3*w - 3*w)*(0*w - 2*w + 4*w).\nAnswer: -6*w**4 + 62*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77.0692 < 0.711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -20?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 15*v + 9. Let i be s(14). Let z be ((-25)\/i)\/(1\/8). Suppose p = -p + z. Solve -4*t = -0*t + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + q**2 - 1 + 2*q + 7*q**2 + 5*q**2. Let h be (9 + -10)\/((-1)\/2 - -1). Does 15 divide p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 63 = -3*p. What is the tens digit of 224 + (3\/p - (-527)\/(-119))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 7 + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 8.95. Let u be (2 - 1 - -5) + (348\/(-12) - -25). Sort u, q, 2\/11.\nAnswer: q, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*(-4 - -2). Which is smaller: y or 227?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**3\/7 + 376*h**2\/7 + 152*h\/7.\nAnswer: -2*h*(h - 38)*(5*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 - -104. Let i be -4*1\/(1 - 2). Let c(s) = -2*s + 1. Let b(v) = -4*v + 2. Give i*b(u) + k*c(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-6))\/(12\/(-10278)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*w + 15*w - 80136. What is the highest common factor of 540 and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/25414 and -4\/873?\nAnswer: 228726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**3\/6 - 2*w. Let t(m) be the third derivative of 5*m**4\/24 - m**3\/6 + 24*m**2. Suppose 3*d + 3 = 12. Give d*x(f) - t(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -64, 7, -3, -386, 1.\nAnswer: -386, -64, -3, 1, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 21, 3, -31, -87, -171, -289?\n\"Answer: -p**3 + p**2 - 4*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -2582245.\nAnswer: 8\/2582245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 5:27 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 + 78*d**3\/5 - 336*d**2\/5 + 344*d\/5.\nAnswer: 2*d*(d - 2)**2*(d + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -701, -2\/13, 2\/7.\nAnswer: -701, -2\/13, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143.66058686 + -143.66. Round j to six dps.\nAnswer: 0.000587","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 9 = -5*t, -l + 11 = -4*l - 4*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -413\/3758 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8228, -16476, -24720, -32960, -41196?\nAnswer: -49428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2855 - 5439 - 3832 - 2647)*(-2 + 1 + 3)*(-i**2 - i + i).\nAnswer: 18126*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/3402)\/(4\/14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 45 - (6 - (4 + -2 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184580423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 19 = -4*x, -4*d + 23 = 3*x + 4. Suppose 6*p - x = 5*p. Solve 3 = -p*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/7 - 231292*x**2\/7 - 1387644*x\/7 - 2081412\/7.\nAnswer: -4*(x + 3)**2*(x + 57817)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -4*j + 4*i - 99, -2*j = -4*i + 118. Let c = 91 - j. Is (-1 + 3)\/(4\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.8 and 0.08.\nAnswer: 4.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/30*3\/2. Let a(u) be the second derivative of 0 + 2*u + 1\/8*u**3 - 3\/40*u**5 + 5\/48*u**4 - 1\/4*u**q. Factor a(n).\nAnswer: -(n - 1)*(2*n - 1)*(3*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1490 and 83\/2384.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkkk when four letters picked without replacement from kkkkkkkvkkkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -285 divided by -3\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.08\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 - 186. Which is the second smallest value? (a) -2 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16 - (0 + 0\/2). Suppose 15*b - 6326 + 5621 = 0. Let p = b + w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3034 + 1207.3034. Is 0 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 27799300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3266535 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4\/13 (b) -18 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 divided by 77?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -25*n**3 - n**2 - n + 5. List the prime factors of w(-2).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 23*w**2 + 19*w - 15. Let u = -12 - 24. What is the remainder when g(-22) is divided by (1 - (-10)\/(-8))*u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1194, 2596, 4942, 8238, 12490?\nAnswer: 17704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, k: 1, q: 1, s: 3, a: 6, f: 3}. Give prob of sequence as.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 30 = 54. Let t = -17 + c. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o - 8. What are the prime factors of r(-17)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 0*v)*(-3 + 1 + 3)*(-20*v**2 + 376*v - 376*v).\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/230 not equal to -419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*a + 124*a + 3*r = -4, -5*a - 3*r = 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395 + 603. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z + 12, -2*z = -u + 8. Suppose 4*o - 1483 = i, -2*o + i - 3*i + 754 = u. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 988 or -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33950 divided by 6790\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -264383, -264378, -264373, -264368?\n\"Answer: 5*q - 264388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(1\/(-10)*-4). Suppose -12 = -i*j + 53*j. Solve -2*g = 0, 2*g = x - 3*g + j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + y**2 + 3*y - 9*y - 5. What is the remainder when 18 is divided by f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 231915660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0401025141 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*w - 3139 = 97*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5622*x**5 + 8*x**4 - 6*x**2 + 4*x - 217.\nAnswer: -337320*x**2 + 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10986 is divided by 87?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1814 - -3220. Let o = 1406.0000823 - y. What is o rounded to 6 decimal places?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1000222121201?\nAnswer: -1000222121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/54)\/((-4)\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbwq when four letters picked without replacement from {u: 1, b: 2, q: 2, j: 1, w: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5 + 7 - 3. Let w(j) = 17*j - 15. Let d(h) = 6*u(h) - w(h). Differentiate d(f) wrt f.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2\/9 (c) -7 (d) -0.13 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1625 (base 12) to base 16.\nAnswer: -a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(sqrt(68) + sqrt(68) + -5)**2.\nAnswer: -1185 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 33*g - 14*g**3 + 20*g**2 + 39*g**3 - 23*g**3 + 377*g**2 - 8*g wrt g.\nAnswer: 12*g + 794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l + 0*l - 2*l - 3 + 3 + l + (-l - 4*l + 3*l)*(6 - 11 + 12) as k + p*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 0 + 0)*(-1 - 2 + 4) + 5*a**4 - a**4 - 2*a**4 + (-1 + a**4 + 1)*(-4 + 4 + 2) + 4*a**4 - 2*a**4 - 3*a**4.\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -3 + 0 - 45\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7752144 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k. Let f(d) be the first derivative of 31*d**3\/3 - 232. What is f(a(q))?\nAnswer: 775*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, n: 5, f: 3, k: 3, v: 3, y: 1}. What is prob of picking 2 n and 1 y?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 - 4*d + 2. Let w be m(6). Let z = 4048\/17 + w. Which is the second biggest value? (a) 5 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w**5 - 390*w**4 + 588*w**3 - 296*w**2 + 48*w = 0. What is w?\nAnswer: 0, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 364952747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 20 = 0, -17*x = 8*d - 6*d + 68 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113877 and 113877?\nAnswer: 113877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1317.177 litres?\nAnswer: 1317177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z - 2. Let h = z + -1. Solve -5 = 2*y - h*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*j - 942 = -243*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 104, 150, 198, 248?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.7, 2\/3, 2\/9, -633?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136915*d**5 - 12*d**2 + 3814601*d wrt d?\nAnswer: 2738300*d**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2650050 and -31\/67950.\nAnswer: 2650050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 4*g - g)*(-3*g + 5*g - 3*g) + (52 - 16 - 24)*(-148 + 30*g**2 + 148) to the form k*g + v*g**2 + r and give v.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154828771.\nAnswer: 5233, 29587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1529742*-27\nAnswer: -4.1303034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2649 + -0.2849. Which is the closest to -9? (a) p (b) -2\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371548471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.7 and -160?\nAnswer: 148.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 54*k**2 + 105*k + 372. Determine m(-52).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(2 - (-8)\/(-6)). Suppose 10202 = 4*b + p - 0*p, -4*p + 10196 = w*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 561 = 93*i, 57*i + 39 = 60*i - p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/((-30)\/(-4)))\/(2 + -4). Which is the nearest to z? (a) 3 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(66)*2 - sqrt(66) - sqrt(66)) + sqrt(66))\/sqrt(6).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2795200 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9388600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -h + 2*f, 0 = -3*h - 3*f - 33 + 813. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -78, -141, -218, -303?\n\"Answer: i**3 - 16*i**2 - 2*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n + 9. Let y be g(-8). Suppose 0 = -3*j - 3 - y. Is 6\/10 + (-4048)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 3559\/3701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296341773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 62 and -143625527924.\nAnswer: -143625527862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 146\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -23. Let i = -13 + b. Solve i = -h + 3*s + 4, 3*s = -6 - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 31 = -23*f + 20*f, 0 = 2*f - 6. Let q(j) = 2*j + 6. Determine q(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*o + 10 + 23*o + 16*o)*(0*o**3 - 2*o**3 + o**3).\nAnswer: -3*o**4 - 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59 and -397191.\nAnswer: -397250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 17*d + 9. Suppose 20*t + t = 3*k - 99, 0 = -2*t - 8. Give c(k).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(21)\/(sqrt(21)\/sqrt(7)))**2 + -4*(sqrt(7) + sqrt(49)\/sqrt(7)).\nAnswer: -7*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16\/a)**(-15) assuming a is positive.\nAnswer: a**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-18)*(26 + 12) - 2\/18. Factor 24\/11 + 2\/11*d**m - 16\/11*d.\nAnswer: 2*(d - 6)*(d - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413 divided by -48?\nAnswer: -413\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8388, 17270, 26260, 35352, 44540, 53818, 63180, 72620?\nAnswer: 82132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 6 (c) 10 (d) -2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 9738 and 2221.8670301.\nAnswer: 11959.8670301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2))\/(-42*(-8)\/32).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v**(-2\/33))\/v)*v\/v**9 assuming v is positive.\nAnswer: v**(-229\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2. Let m(z) = -45*z + 14. Calculate -6*c(h) - m(h).\nAnswer: 45*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/18*(-3726)\/(-567)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 9130197*f\/2 - 4565099.\nAnswer: (f - 9130198)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60668 and 407508.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 87244?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*w - 116 = 0, -4*t - 575*w + 570*w = 148 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 3*m. Let l(k) = -2*k - 10. Let u be l(-7). Solve -h + u = -m*h - 4*v, 0 = 3*v + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.94243 meters in kilometers?\nAnswer: 0.07194243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 12 = -p, 0 = 6*w - 4*w + 4*p + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -27 - (-2 - 3 - -3) - -30?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -136, 0.8, 221?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 + -575037?\nAnswer: -575111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfhh when four letters picked without replacement from {f: 6, k: 7, h: 6}?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 - (3 + -6))) + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.2. Let j = 0.99 + 0.31. Let x = j - 1.2. Which is the closest to y? (a) 3 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -729795245.4 rounded to the nearest one million?\nAnswer: -730000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*l - 438, 3*d - 143 = l + d. Let x be (l\/10)\/((-2)\/4). Suppose 4*o = 19 + x. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of (-20)\/350 - 66648\/(-140)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3\/4 - 28509*v**2 + 2845275*v - 71085000 = 0.\nAnswer: 50, 37912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32591539.\nAnswer: 47, 693437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/10)\/((-9)\/48). Let x(s) = -3*s + 3. Let j be x(2). Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.837 - 5.727. Sort d, -6, 2\/15, 5\/7 in descending order.\nAnswer: 5\/7, 2\/15, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - -164?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2 - 25. Suppose 169 = 40*c - 70 - 201. Solve v = 5*u - k, -2*u = -5*u + 2*k + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.94 - -0.74. What is o rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907469540.\nAnswer: 2, 3, 5, 211, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 614 and 186349?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (20 + 16 + -20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233 - -132. Let t = 140.95585 - 241.95676. Let u = d - t. Round u to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.62944 - -0.629567484. Round a to seven decimal places.\nAnswer: 0.0001275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8222?\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(-60)\/(-8). Suppose v - t = -0 + q, -t - 7 = -3*v. What is the tens digit of 21\/(((-6)\/(-4))\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((3 - 1)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 132 = -4*n, -k + 13 = -2*n - 17. What is the common denominator of 217\/(-21)*(108\/k - 3) and -133\/330?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 152, 634, 1452, 2612, 4120?\n\"Answer: k**3 + 162*k**2 - 11*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*y**3 + 16*y + 7*y + 7*y wrt y?\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20142 - 3?\nAnswer: 20134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Suppose -8*l = -15*l + 35. Suppose l*z + 46 = 46. Put -1, p, z in decreasing order.\nAnswer: z, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, o: 5, u: 3, h: 4, a: 1}. What is prob of picking 1 h and 1 u?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + 520\/90. Is 3 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-5) - (-52)\/10. Suppose -3*m - 5*p + 14 = 0, 4*m + s = -5*p + 27. Calculate the least common multiple of 7 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154251*-1.3\nAnswer: -200526.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482388883.\nAnswer: 163, 383, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4127837?\nAnswer: 7, 491, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -73*i. Let j(q) = 2*q**2. Calculate j(l(f)).\nAnswer: 10658*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 222. Let v = 174.3 - g. Let l = v - 10.299931. What is l rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 495\/4. Let w = 2.1 + -2. Suppose 0 = -2*t + 2*g - 2, -4*t - 5*g - 2 = 2. What is the nearest to w in t, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*s**4 + 85*s wrt s.\nAnswer: 1344*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**2 + 7*z**2 - 2 - 2 - 12*z**2 in the form f*z + x*z**2 + y and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99d55b - -21?\nAnswer: 99d57c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65613 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 24. Suppose 2*f - 30 = -3*f + 25. What is h(f)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 394554219 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270588 is divided by 52?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-148)\/(-16) - (-3)\/(-12). Let p(u) = u**2 - u - 7. Let j be p(g). Calculate the highest common divisor of 26 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*t - 6*t. Let d(y) be the first derivative of -1 + 0*y**t + 7\/5*y**5 + 0*y - 9\/4*y**4 + 2\/3*y**3. Solve d(c) = 0 for c.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 27.1. Let l = -0.4 + 0.7. Let h = l - d. What is h rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -429 - -6870. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 21*w + 2. Let k be 5850\/780*(-8)\/6. Determine s(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {e: 1, t: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215755 by 166.\nAnswer: -215755\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403127.\nAnswer: 599, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -38 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Let k = -1305 + 2055. Suppose -725 = -3*t + f*i - 0*i, -3*t - 3*i + k = 0. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205704 divided by 25.\nAnswer: -205704\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) + (3*sqrt(325) - sqrt(325)))*-1 + -2*sqrt(637) + 2 + sqrt(637))*-6)**2*-6*2.\nAnswer: -2719872 + 38016*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w. Let c(a) be the third derivative of -a**5\/10 - 60*a**2. Determine c(q(y)).\nAnswer: -1014*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12\/43 (b) 0 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272977 is divided by 144.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - 3. Let n = -3 - m. Let f = n - 26.999924. Round f to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/50 and 33\/40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/6, 427, 1\/3, -1, -5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + 100\/(-15))*6\/10. Let g = -5 - -5.4. Let d = -7.8 + 8. What is the closest to d in 1.1, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.53 + -0.285208?\nAnswer: 78.244792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (28 - (69 - 2))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2300451*s. Let v(u) = -2*u. Give v(d(i)).\nAnswer: -4600902*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655279 < 1655279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-1575)\/(-14)))\/((-7)\/(-126)*12\/(-16))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0581 and -2.23037?\nAnswer: 2.28847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 1\/4*u**4 - 45 - 6*u + 3*u**2 - 2*u**3. What is r(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*d = -i, 0 = -5*i - 5*d. Let o = -18 - -11. Let j = 4 + o. Which is the biggest value? (a) i (b) -2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 4*x + 56, 3*l - 5*x = 61. Suppose -140 = -12*y - 44. Calculate the greatest common factor of y and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 12. Suppose 18 - 6 = -q*g. Put 1, g, -2 in increasing order.\nAnswer: g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-284)\/(-48)*141*((-3 - -8) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -433591 + -3?\nAnswer: -433594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.33 and 13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b\/((b**(-1)*b)\/b)*b)\/b))**(2\/7)\/((b\/(b\/(b\/b**(-4\/3))))\/(b**(1\/2)*b)) assuming b is positive.\nAnswer: b**(-59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -4, -3, 0.2, -5\/11, -0.1, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47941, -191795, -431553, -767209, -1198757, -1726191, -2349505?\n\"Answer: s**3 - 47958*s**2 + 13*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -3 - (-8)\/1. Let r be -50 - -45 - (-2 - -1 - -1). Let y be ((-45)\/(-7) + r)*7. Calculate the greatest common factor of y and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) 0 (c) 818 (d) 2\/59 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-125)*(-20)\/(-12)*48?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.08 (c) -953\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/8112 and 77\/69.\nAnswer: 186576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-35))**47\/((h**(-1)*h*h*h**(1\/2)*h)\/(((h*h\/(((h\/((h\/h**1)\/h))\/h)\/h*h)*h)\/h)\/(h\/(h\/h**(2\/9))))) assuming h is positive.\nAnswer: h**(59189\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*r + 28, u - 1 = -3*r - 9. Solve -u*x - 10 = -s, 4*x - 5*s = 9*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400431*k + 400242*k = -3591 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 0.9. Let l = 3 - -2. Suppose -5*b - l - 10 = 0. What is the biggest value in r, b, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1, -10 in descending order.\nAnswer: 3, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 119 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224.5 + 270. Let v = -45 + x. Suppose -4*j = j + 5, 2*j - 18 = 5*r. Put r, 2, v, 1 in ascending order.\nAnswer: r, v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*b + 32, d = -2*b + 6*d - 59. Let h be 4\/(-4) + (39 - 1). Let c = b + h. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 3\/16 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.331 + -0.169. What is the third smallest value in -0.3, 1\/3, -4, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-21930)\/(-26))*-1. Let v = b + 845. Suppose 294*q - 19*q + 134 + 141 = 0. Is q > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 z when four letters picked without replacement from izzlzpi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 22 = -2. Let v(r) be the second derivative of -11*r + 0 + 11\/12*r**c - 4*r**2 + 0*r**3. What is the first derivative of v(u) wrt u?\nAnswer: 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -38*h + 54. Let k(y) = -18*y + 25. Let u(i) = -13*k(i) + 6*o(i). Let m(b) = 2*b - 35. Let c be -12*3*4\/(-8). Let j be m(c). Determine u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019956 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 6*x**2 + 3*x)*(-2 - 2 - 7)*(2 - 3 - 1)*(9 - 28*x - 9).\nAnswer: 3696*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3509063.99292 - -3508800. Let b = 264 + l. Round b to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2))**(8\/17) assuming m is positive.\nAnswer: m**(-12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -10, 4*d + d + 52 = 3*z. What is the first derivative of -z*m - 28*m - 19*m - 18 + 80*m wrt m?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -8 + 3 - 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 9*l - 6. Let t be 5 - -2*1\/2. Suppose -t*k = 30 + 12. What is g(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(2 + 12\/(-3)). Solve y - 7 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 8:50 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j**2 + 3*j - 9. Let b(t) = -5*t**2 - 2*t + 4. Determine -9*b(s) - 4*l(s).\nAnswer: s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 + -84. Let f = -100 + o. Let s be 144\/(-54)*(-6)\/(-4). Put 8, 4, s, f in decreasing order.\nAnswer: 8, 4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 9 (b) 0.28 (c) -0.5 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-27))\/(405\/(-90)*(-10)\/135)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l**2. Let y(g) = -44*g**2 + 3*g + 3. Let r(j) = 226*j**2 - 16*j - 16. Let d(c) = 3*r(c) + 16*y(c). Give d(z(p)).\nAnswer: -5850*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 182, 189, 210, 251?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 3\/7, -1, -795\/109?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 2231\/11 - 203. Let w = 37 + -34. What is the third biggest value in 0.2, m, -5, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-613 + 310 + 304 + 428*u**2)*(0 + 0 + 2).\nAnswer: 856*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00297375 to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14234 is divided by 1026?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-18) + 30\/(-135). What is the smallest value in -5, -42, r?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 74 - 8 = 0. Suppose -t + v = -2*y, 0 = 3*y + t + 55 + 49. Let b = 24 + y. Which is bigger: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3\/7, 4\/11, -101662.\nAnswer: -101662, -3\/7, 2\/9, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6 - 6 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 17*y**3 + 3 + y**4 - 25*y**3 + 68*y**3 - 22*y**3 to the form i*y**4 + t + m*y**2 + o*y**3 + r*y and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 7440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**2 + 108*o - 111 = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 50\/3)\/((-10)\/(-45)). Suppose a - 42 - k = 0. Let c = a - 99. Solve 3*p - p - c = -3*l, -4*l = -2*p - 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307210817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-3))\/((-638)\/209 - -3). What is the highest common factor of d and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 302\/9, -4, 0.1, 5, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (8 + 8) - 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/176 and 101\/10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (639*q**2 - 1053561*q - 1 + 1053561*q)*(4*q - 29*q + 6*q) to r*q + g + v*q**3 + f*q**2 and give v.\nAnswer: -12141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -175397*p. Let r(f) = 3*f**2. Calculate k(r(m)).\nAnswer: -526191*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*y - y**3 - 21*y + y**4 + 2 + 0*y**3 - y**2 + y**4 to the form p*y + m + v*y**2 + i*y**3 + z*y**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 704 - 735 + 2249 = 742 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33267\/11 + 3027. Let p = h + -161\/55. Let j(n) = 2*n - 1. Let f be j(2). Put p, f, 4\/3 in decreasing order.\nAnswer: f, 4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32683 + 3?\nAnswer: 32686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5 + 11484*s**4 - 11047194*s**3 + 108604884*s**2 + 696191301*s - 7084482264 = 0.\nAnswer: -8, 9, 1909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105*q**3 + 4681442*q + 606052348 wrt q?\nAnswer: 315*q**2 + 4681442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 267683810 to the nearest one hundred thousand.\nAnswer: 267700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-7) + 22\/77. Let y = t + -5. Solve y = -f + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (0 + 1\/1). Solve -5*l - 6*n = -n + 30, -4*n - 16 = v*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m**4 + 38*m**3 - 144*m**2 - 199*m - 21. Let j(p) = 3*p**4 - 13*p**3 + 48*p**2 + 66*p + 6. Let i(v) = -7*j(v) - 2*z(v). Factor i(f).\nAnswer: -f*(f - 8)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 18*k - 79. Calculate f(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/3 + 272*b**2 + 6672*b + 40320 = 0.\nAnswer: -12, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - m - 2)*(4 - 6 + 0) + (2 + 0 + 0)*(5*m - m - 3*m) + (-4 - 5*m + 4)*(3 - 2 - 10).\nAnswer: 49*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5897352 is divided by 2358?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90.7 - -72. Let m = t - -12.7. Let r = -12 - -12.4. Which is the biggest value? (a) r (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1 + 0)*-1. Let u(k) = h*k**2 - 7*k + 4 + 9*k - 4*k**2. Give u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 11)*(3 + 2 - 4) - 1 + 0 + 0)*(0*m + m - 2*m)*((2*m**2 - m**2 - 2*m**2)*(-m - 3*m + 2*m) - 81*m - 19*m**3 + 81*m).\nAnswer: 119*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -27*l - 1. Is r(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11 = -n - z, 5*n = 2*z + 23. Suppose -1615 = 4*a - 2*g - g, -1175 = 3*a + n*g. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.1 - -35.8. What is the second biggest value in r, 47, -0.1, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:52 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((33 + 12 - 7)*(3 - 1 - 1) - 4 + 5 - 2)*(-26 + 26 - 6*b**2).\nAnswer: -222*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1534 bigger than -1535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -14*a**3 - 10*a**2 - 16*a + 1. Let i be l(-4). Suppose -34*t + 37*t - i = 0. What is t rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-2245*u**2 - 181*u**2 + 665*u**2).\nAnswer: 3522*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 - 18*m - 80. Give h(9).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 346 - -3. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 2\/11, 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 70*k + 1887. Determine u(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, a: 10}. What is prob of sequence iia?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y + 2*y + 0*y)*(3 + 3 + 3)*(-835 + 10 + 59) to the form a + n*y and give n.\nAnswer: 13788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**4\/6 + n**3\/3 + 2*n. Give s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 6, 2, -18 in decreasing order.\nAnswer: 6, 4, 3, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -176 + 1d07?\nAnswer: 1b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x - 13 + 49 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(-8)\/1. Suppose -3*h + 2*a + l = -0*h, 5*h - 4*a = 8. Suppose h = 2*k - 22. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjbaejrr. Give prob of picking 1 a, 1 e, and 2 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10572283.\nAnswer: 17, 487, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -457*x**3 - 3*x - 2. Let n be c(-1). What is n rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 5. Let v(d) = 4 - f - d - 3 - d**3 - 6*d**2. Determine v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**4*i**2 + 1434495*h**3 - 10*h*i**2 - 79*i**2 - 3646*i wrt h?\nAnswer: 48*h**2*i**2 + 8606970*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -464*h*t**4 - 3*h + t**5 + 231*t wrt t.\nAnswer: -5568*h*t**2 + 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6152.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 364? (a) -4 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86024681*l + 343867492 wrt l.\nAnswer: -86024681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*(-4)\/(-24)*-2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8*q + 135 = 0. Let g(x) = 4*x**2 - 4*x + 43. Is g(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036464 times 5.1?\nAnswer: 0.1859664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111111010 (base 2) to base 9.\nAnswer: -1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*2*1\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -506b7 (base 14) to base 10\nAnswer: -193417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 4, t: 5, b: 1, c: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -259.14 * 4.\nAnswer: -1036.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-255)*((-30)\/(-9) + 0)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199348015 is divided by 5310.\nAnswer: 5305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:25 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 278 and 2?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/5 + 52*b\/5 + 336\/5 = 0.\nAnswer: -14, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**3 - 2*d**2 + d. Let o be b(1). Suppose -2*f = 10, 5*f + 16 = 4*m - 5*m. Calculate the remainder when (-2)\/o - (-303)\/12 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3422 or -3420?\nAnswer: -3420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4 - -6) + 10 + -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16256, -16268, -16280, -16292, -16304, -16316?\n\"Answer: -12*c - 16244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 1872404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a factor of 205192468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 2*m)*((3 + 1 - 2)*(1 - 1 + 2*m) + 1 + 2*m - 1 - 6*m + 6*m + 6*m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 31*g**2 + 14*g + 16. Calculate the lowest common multiple of 6 and o(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b**2 + 1 - 1)*(0 + 1 + 0)*(77 - 19 + 46) to the form d + n*b + l*b**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 4. What is o(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 0*a**2 + 2*a**2 + (-2*a - a + 5*a)*(a - 2*a - a) - a**2 - 6*a**2 - 12*a**2 to the form i*a + s*a**2 + f and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -231331 (base 7) to base 3\nAnswer: -2002200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*sqrt(5)*2)*-6)**2 - (sqrt(2880)*3 + -5).\nAnswer: -2952*sqrt(5) + 18581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 4 + 1)*(-2 + 4 + 2)*(24*i - 20 + 20) in the form z + n*i and give n.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2063*i**4 - 1243*i wrt i?\nAnswer: 24756*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-9 - (-9 + -11)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46246 or -46241?\nAnswer: -46246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 + 2*u - 4. Let w(l) be the third derivative of -11*l**5\/60 + l**4\/6 - 3*l**3\/2 + 5*l**2 + 7. Determine 13*g(c) - 6*w(c).\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 6194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -57?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*k**3 - 31*k**3 + 6*k**4 + 61*k**3.\nAnswer: 2*k**3*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/30 - 236\/118*(-2)\/5?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*l + 15810 = -71*l. Which is greater: l or 512?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v - 34. Determine h(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 2 = -34 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28809733*i**3 + 935985*i + 39.\nAnswer: -172858398*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b - 3*b)*(-1 + 0 + 0) + 29 + 20*b - 29 + (2*b - b - 4*b)*(6 - 4 - 4).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243403760*o**2 - 243403760*o**2 - 2058*o**3.\nAnswer: -2058*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -739*d**4 - 481*d**2 wrt d?\nAnswer: -17736*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4259 and -0.7102.\nAnswer: 3024.7418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/155 + (-1)\/5. Let m(t) = t + 8. Give m(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 18, 22, 2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d6dcb - -70?\nAnswer: d6e4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 51927, 208529, 469531, 834933, 1304735, 1878937?\n\"Answer: 52200*k**2 + 2*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8651 + 8722. Put s, -9, 4, -5, 0 in ascending order.\nAnswer: -9, -5, 0, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 2*a - 10*a + 0*a + 16*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 3*q - 4. Let p be o(5). What is the second derivative of p*b**4 + 7*b - 3*b - b**4 - 3*b wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1583 - 1581. Which is bigger: 447\/2 or s?\nAnswer: 447\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + 3*y)*(2 - 1 - 2)*(-1 - 3 + 1).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 62*c + 51. Let b be h(-21). What is the greatest common factor of 75 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -325949, -652020, -978093, -1304168, -1630245?\n\"Answer: -q**2 - 326068*q + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2. Let n(h) = 5*h**2. Let w(m) = -2*k(m) + 3*n(m). Let v(b) = -21*b - 11. Let t(z) = -4*z - 2. Let o(a) = -11*t(a) + 2*v(a). Give w(o(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(2 - 3 - 2)*(4*c + 4 - 4) in the form p + w*c and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2339586 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 3*s**5\/5 - s**4\/6 + s**3\/2 + s**2\/2 + 1325*s. Let w(n) = 24*n**3 - 4*n**2 + 5*n + 2. What is -5*h(g) + 3*w(g)?\nAnswer: 12*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.5205187us?\nAnswer: 0.00000000236681075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 23. Let u be t(-7). Solve -c - u = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 10011100001111010100?\nAnswer: -10011100001111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2) + 0)*0. Let g be (-126*6\/135)\/((-2)\/(-10)*-2). Suppose m = -2*d + g + 68. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -946, -943, -942, -943, -946?\n\"Answer: -q**2 + 6*q - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32233333 (base 4) to base 12.\nAnswer: 2ab67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1222)\/65 + 5 + 13\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3454638 and 10098.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.0958, -1\/4, -0.1, 23, 0.4?\nAnswer: 1.0958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156156 is divided by 131.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**3\/3 + 5*u**2 + 18*u + 22. Let o be w(-8). Suppose -193 + 21 = -4*d - s, 0 = -o*d + 2*s + 76. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*y. Let m(n) be the second derivative of 1\/2*n**2 - 2*n - 1\/10*n**5 + 0 + 0*n**3 + 0*n**y. Differentiate m(q) with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14679017 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 11, 7, 2\/37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30212 (base 4) in base 6?\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 - 0.1. Let g = -4.9 - w. What is the closest to g in 0, -0.2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408396 by -120.\nAnswer: -34033\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*o + 3*b, -2*o + 0*o = 2*b + 2. Let q(g) = -o - 2*g**2 - 3 + 2*g + 3 + 0*g. Let f(d) = 27 - 50 + 22. Give -2*f(w) + q(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -54. Let h(d) = 2*d**2 - 2*d - 3. Suppose 0*q + 6 = -3*t + 2*q, 3*q + 4 = -2*t. What is the remainder when h(t) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*p - 444, p - 41 = 3*q + 115. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -178\/9. Let p = -20 - -20. What is the third smallest value in d, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose 20 = -0*l + l - o*j, -3*l + 5*j = -44. Solve -3*g + 3*z - l*z = -1, -4*g + 5*z + 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40973, -40953, -40919, -40865, -40785, -40673?\n\"Answer: d**3 + d**2 + 10*d - 40985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27517, -110494, -248797, -442432, -691405?\nAnswer: -995722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 19*i + 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -162?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:07 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let d(b) = -2*b**2 - 8*b - 22. Let o(p) = -d(p) + 5*l(p). What is the tens digit of o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*a**4 - 2*a**3 - 11*a**2 + a + 3555 wrt a?\nAnswer: -3708*a**2 - 12*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56, 102, 148, 194, 240, 286?\n\"Answer: 46*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519859695?\nAnswer: 3, 5, 109, 317957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-561*t**2 + 358*t - 358*t)*(-t + 3 - 1 + 2*t).\nAnswer: -561*t**3 - 1122*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (55914\/(-8))\/(57\/(-1292)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, v: 9, b: 2, q: 1, l: 2}. What is prob of sequence lhhh?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10414 - 31631\/3. Let o = l - -131. Factor -2\/3*n**3 - 8\/3*n**2 - 10\/3*n - o.\nAnswer: -2*(n + 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*l = -2, -41 = -3*o + 59*l - 54*l for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1930, 3848, 5754, 7642, 9506, 11340?\n\"Answer: -r**3 + 1925*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -622543 (base 9) to base 10.\nAnswer: -369318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50.3 times -25\nAnswer: -1257.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 4.1091?\nAnswer: 78.0729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -16*b. Let z(t) = 12*t + 8. Let w be z(3). Suppose -3*d + w = 3*n + 2*d, -4*d + 32 = 2*n. Let q(u) = -n*u - 4*u + 10*u. Calculate y(q(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -30475, 4.\nAnswer: -30475, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 10:10 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 - 4*v + 1. Suppose 2*i + 6 = -2. Determine p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.666 and 5?\nAnswer: 5.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10511 a factor of 477209911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-63) - (-12)\/270*5.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5))**(-32))**(-1\/52) assuming v is positive.\nAnswer: v**(-8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5.5, 0.4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 = 736*k - 725*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 5:46 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5890593 and 9.\nAnswer: 17671779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -268*o - 15751. Calculate t(-59).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52076000 rounded to the nearest one hundred thousand?\nAnswer: 52100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i + 4*i + 27 + 35 - 18 - 4*i. Is s(18) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Let h(q) = -q**3 + 4*q**2 - 4*q + 3. Let b be h(z). Suppose 3*j + 1 - 31 = b. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = -25. Let o be (12\/(-16))\/((-1)\/(-4)). Let w = o + b. What is the remainder when 4 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/723?\nAnswer: 2\/723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21211 (base 3) in base 10?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 268 or 10692?\nAnswer: 10692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1231 * -144895.\nAnswer: 178365745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (858*f**4 + 230*f**4 - 69*f**4)*(3 + 1 - 2) - 2*f**3 + 2*f**3 - 2*f**4.\nAnswer: 2036*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 83194?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 > 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12404 + -12405. Let o(j) = -4*j**3 - 2*j**2 + j + 1. Let c(b) = -b**3 - b - 1. What is t*c(k) - o(k)?\nAnswer: 5*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, -4, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19619.6 - 19620. Let i = -0.5 + 0.3. Which is the closest to 0.4? (a) -1\/2 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 71512042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-4)\/20) - 2. Suppose -h*z + 19 = 4. Suppose -z*i + 0*i = -20. Solve 0 = -4*o + k - 13, -4*k - 11 = i*o + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2, -54*h = -49*h + 4*i - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144633*m**3 - 2 + 144564*m**3 + 144560*m**3 + 2 - 578252*m**3 + 144627*m**3.\nAnswer: 132*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 61752?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34761, 34751, 34737, 34719, 34697, 34671?\nAnswer: 34641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 11\/4)*-4. Solve 12 = -p*v + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 27 - 2653?\nAnswer: -262a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 620*i**4\/3 + 204*i**3 - 2488*i**2\/3 - 816*i + 32\/3 = 0.\nAnswer: -2, -1, 2\/155, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199050840.\nAnswer: 2, 3, 5, 19, 29101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/743, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, -3\/743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b*h**2*i**2 + b*h**2*i - 168*b*h*i**2 + 66*b*h*i - b*i + b - 27*h**2*i - 6*h*i**2 wrt i.\nAnswer: -26*b*h**2 - 336*b*h - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 977 = 4*o, 2*o = a - 0*o + 201. Suppose 0*n - n + 368 = 0. Let j = n - a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o**3 - 5*o**2 + 5*o + 3. Let j(b) = 9*b**3 + 3*b**2 - 3*b - 1. Let q(m) = 5*j(m) + 3*v(m). Differentiate q(t) with respect to t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 47*h**3 - 9*h**2 + 5*h + 1. Let s be n(6). Let u = 118193\/12 - s. Let v = 98\/23 - 2446\/207. Calculate the common denominator of v and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**23*v*v)\/v**(6\/11))\/(v**7*v**(2\/39)) assuming v is positive.\nAnswer: v**(7466\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -1, -0.05, 35176?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53472 + 33?\nAnswer: -53437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5187 - -15565\/3. Let w = 0.3 + -2.3. Put y, 3\/7, w in increasing order.\nAnswer: w, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5467.2*-9.95\nAnswer: -54398.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3*r**2 - r. Let y be z(-3). Suppose -10 + 19 = y*n. Suppose 6*g = n*g + 537. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 963?\nAnswer: -95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**3 - 3*x**2 + 8*x. Let b(y) = 4*y**3 - 4*y**2 + 9*y. Let c(a) = -4*b(a) + 3*q(a). Factor c(u).\nAnswer: -u*(u - 4)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + (-56)\/(-6). Is 15 a factor of 578\/k + 4\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26169951 + -8?\nAnswer: -26169959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*h**2 - 543723621754*h + 543723621754*h + 2.\nAnswer: 93*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1216? (a) 0.2 (b) -4\/23 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0532 times -4?\nAnswer: 16.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-4)\/(-10) + 2). Let k = 1391 - 1386.052. Let f = -0.052 - k. What is the third biggest value in p, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/15 - 0)\/(6 + 16\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n + n)*(0 - 3 + 1) - 8*n - 9*n + 19*n + 2.\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32103120 (base 4) to base 9.\nAnswer: 88323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + 3*z - z - 5*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 2232.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 330925005 less than 6?\nAnswer: -330924999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 2)*(-34*z + 933*z + 554*z) + 2 + 2*z - 2 to q + n*z and give n.\nAnswer: -4357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = h - 5*b, 0*h + h = 4*b + 47. Let o = -362 - -383. Let l = h - o. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 - (14 - (5 + 1)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**11\/t*t*t**(3\/10)*(t**3\/t)**(1\/2) assuming t is positive.\nAnswer: t**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -28, -72, -134, -214, -312, -428?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/14 and -109\/474?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129296.\nAnswer: 2, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 27*f**5\/70 - 3*f**4\/14 + f**3\/21 - 32*f**2. Factor b(h).\nAnswer: 2*(9*h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 11 = 5*q. Suppose 0 = -2*m - 5*j + 33, -q*m + 0*m + 5*j - 5 = 0. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 3\/7, -1\/2, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.1 in 7754, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 - f**2 - 3*f - 4. Let x be (-2 - -1)\/(18\/(-36)). Suppose 2*w - 2 = -0*d - 3*d, d - x = 0. What is the units digit of s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -29.63.\nAnswer: -8.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114\/461 or 4\/105?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 + 0.65. Let h = 425\/6 + -71. What is the second smallest value in z, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0*o**2 + 4*o + 0 - 1\/3*o**4 + 0*o**5 - 1\/42*o**7 + 0*o**6 + 0*o**3. What is the third derivative of n(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -0.28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b + 2*b)*(-13*b - 19*b + 4*b + (0*b - 2*b - 3*b)*(0 + 2 - 1)).\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76401 = -12*p + 15*p - 5*x, -3*x - 76407 = -3*p. What are the prime factors of p?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32760)\/69160*(-2 - -21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1 + 1 - 1 - 10 + m. Let w(x) = -x + 1. Let u(b) = 2*r(b) + 6*w(b). Let n be u(-7). Calculate the greatest common factor of n and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 23 + 29)*(j**3 + 3*j**4 - j**3) - 4*j - 2*j**4 + 4*j + (1 + 1 - 3)*(-j**4 + 6*j**4 - 3*j**4) to c*j**3 + y + f*j**4 + w*j + t*j**2 and give f.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51582721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1)*t**(-2\/5))\/(t**(-2\/5)\/t)**(-13)*((t*t\/((t**(-2\/5)\/t)\/t*t))**(3\/41))**(-10) assuming t is positive.\nAnswer: t**(-3913\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4*-1*(-1)\/3)\/(73\/(-3066)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63121 is divided by 501?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2)*((-3*k + 2*k + 2*k)*(-42*k - 218*k - 6*k) - k**2 + 0*k + 0*k) to the form p + r*k + y*k**2 and give y.\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81528, -82036, -82544?\nAnswer: -83052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + 2*r**2 + r - 7. Suppose 83*d = 25*d + 348. Let i(t) = t**3 + 2*t**2 + t - 6. Calculate d*h(w) - 7*i(w).\nAnswer: 5*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 4155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4064.202 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102201 (base 4) to base 11.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/79755585 and 42\/2712775.\nAnswer: 398777925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - -174. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by 12?\nAnswer: 205\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*z**3 + 43*z**3 - 27*z**3.\nAnswer: 145*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvoknnvpv. Give prob of sequence von.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*x**2 + 40*i**2*x - 7*i**2 + 235*i*x**5 wrt x?\nAnswer: 4*i**2 + 4700*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 612, 1230, 1850, 2472, 3096?\n\"Answer: t**2 + 615*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314093063.\nAnswer: 919, 341777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -24 + 303872\/12160. Let q(s) = -s**3 - 5*s**2 - 3*s + 3. Let k be q(-4). Is k <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 12:24 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4)*(-8)\/(-20). Solve 2*j - j = -u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40521, -162055, -364583, -648081, -1012525, -1457891?\n\"Answer: 4*w**3 - 40521*w**2 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(68)*1)\/sqrt(4) - 4*(sqrt(1088) + -1).\nAnswer: -26*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 + 226.04. Let w = t + -0.04. Sort w, 3, -0.2.\nAnswer: w, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 8 + 8)*(z + 0*z - 5*z)*(-2 + 6 + 0) to r*z + n and give r.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k - 2*k)*(3*k**3 - 2*k**3 + k**3) - k**4 + k - k + 3*k**4 + 2*k**2 - 2*k**2 - 3*k**4 - 4*k**4 + 3*k**4.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-251)\/(-170) - ((-2)\/(-8) - (-180)\/144)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/3 + 8*u**3\/3 + 79*u**2\/3 + 70*u\/3 = 0. Calculate u.\nAnswer: -5, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 13. Let u be (-2 + 1)\/(o\/7). What is the greatest common factor of 28 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/276 - 62\/72.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*x**2 - 108*x**2 - 312*x**2.\nAnswer: -647*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1022.18 + -1023. Let y = i - -1.999. What is y rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72682, -143550, -214416, -285280?\n\"Answer: c**2 - 70871*c - 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {d: 2, t: 2, u: 13, l: 3}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136595127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Let o = 2 - 0. Suppose 2 = o*w - 2. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1332 = -3*h + 8*k - 5*k, 5*h - 2*k = 2235. Let t = h + -473. Sort 1, t, 0 in decreasing order.\nAnswer: 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18045727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 5*g**2 + 3*g - 12. Let s be d(4). Let o be (108\/s)\/(15\/80). Factor 4*w**4 - o + 24*w - 16*w**3 + 0*w**4 + 18*w**2 + 14*w**2 - 8*w**3.\nAnswer: 4*(w - 3)**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 969 and 3311624361.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f + 1. Let o be y(1). Let n be 6\/33 + 978\/66. Let d = o + n. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 761*i + 8376. Calculate u(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from didrir. Give prob of picking 1 d, 2 r, and 1 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/5*67\/((-871)\/(-26))*5?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937938024 to the power of 1\/2, to the nearest integer?\nAnswer: 44022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -4. Let p be (-2 + 0 - j)*5. Let m be (-1)\/(-2)*0 + 45. Calculate the highest common divisor of p and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*w - 0*w. Find the common denominator of (w\/48)\/(2\/18) and 23\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3450 + 3086 = 52*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/131151609 and -61\/21?\nAnswer: 918061263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 873*p - 828*p. Solve p*a + 8*g - 3*g = -31, -5*a - g - 20 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 38*q + 64. Suppose 18 = -a - 15. What is the tens digit of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 16*z + 8. Let r(g) = -12*g - 7*g - 4*g + 30*g - 6*g. What is m(r(q))?\nAnswer: 16*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*c + 1 = -129*c. What is the nearest to -1 in c, -3\/5, -0.056, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(8\/5))\/k*k**9)\/(k**(-1)*k*k)**(-3\/2))\/((k*(k**(2\/5)\/k)\/k)**(2\/21)\/(k*k**3\/k*(k\/(k\/((k**2*k)\/k)))\/k)) assuming k is positive.\nAnswer: k**(1131\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)*p**(-20\/11)*((p**(-2\/105)\/p)\/p)**44 assuming p is positive.\nAnswer: p**(-123188\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 212*k + 584*k + 204 - 204. Let t(r) = -2*r**2. Calculate s(t(x)).\nAnswer: -1592*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 840. Let c = -32 + 21. Let t = c + i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -993573*l**4 - 375317*l wrt l?\nAnswer: -11922876*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -69. Suppose k + 0 - q = 0. Suppose 7*b = k*b + 320. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**2\/21 - 454*o\/21 - 7120\/7 = 0.\nAnswer: -40, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17089?\nAnswer: 23, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32\/21 + 125\/84. Suppose 5*g = v + 3, 4*g = 4*v + 14 - 2. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f, 2*x + 2*f + 8 = -2*f. Let b(l) = l**2 + 2*l + 18. What is the tens digit of b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 58. Give k(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 24 = b, 5*b = -0*h - 4*h + 44. What is the greatest common divisor of b and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.22 - 0.13. Let w = a - 0.09. What is the closest to w in -1\/8, -0.1, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 6*q**2 - q - 31. Let d(f) = -2*f**3 - 5*f**2 - f - 30. Determine -4*d(c) + 3*g(c).\nAnswer: 2*c**3 + 2*c**2 + c + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1235 and 100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 90 + 66 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210525, -210355, -210081, -209709, -209245, -208695?\nAnswer: -208065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500407 and 4565.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/4 - 651*n\/4 + 663 = 0. What is n?\nAnswer: -221, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 0*c**2 - c**2)*(10349*c + 4815*c + 11624*c - 18068*c).\nAnswer: 17440*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 32550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 d when three letters picked without replacement from dredrierereeeieer.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + 0. Find the second derivative of -13*g**5 - 26*g + 9*g**5 + z*g**5 wrt g.\nAnswer: 580*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, i: 3, e: 2, r: 3, v: 4, x: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21, -1\/26, 2\/5, 3, -0.4, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 1994328.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -10.4. Which is the closest to 6? (a) -0.5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15706*l*t + 3*l - 211776*t wrt l.\nAnswer: -15706*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 6*a. Let v(k) be the third derivative of 8*k**2 + 0 + 0*k + 3\/8*k**4 + 0*k**3 - 1\/60*k**5. Give 7*u(j) - 5*v(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 7 = -b. Let a = -9\/4 + 11\/4. Sort 2\/7, b, a, 4 in descending order.\nAnswer: 4, b, a, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67597\/138826 - 3\/3386. Find the common denominator of c and 38\/5.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.0037, 99\/7, 0, -1\/6?\nAnswer: 99\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.516 and 0.2?\nAnswer: 0.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)*m*m\/(m\/(m**7\/m))*(m**11\/m)\/m*m**4\/m assuming m is positive.\nAnswer: m**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*v + 30, 3*x - 2*v = 2*v + 45. Suppose 5*n + 5*o = x, 0*o + 5 = -5*n + 5*o. Is 24*(1 + n\/(-3)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -828019 and 203.\nAnswer: -827816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1495.\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 1 (c) -2\/7 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2090868 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103090 bigger than 1958726\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (0 + -7 + 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 10*g + 5 + 14*g)*(-2*g - 4*g**2 + 2*g).\nAnswer: 8*g**3 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2450))\/(2*3*sqrt(10)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17790 divided by -3\nAnswer: -5930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1461 or -1460?\nAnswer: -1460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -735325?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -10. Let z(h) = h**3 + 8*h**2 + 3*h + 5. Let g be z(v). Suppose -2*n - 57 = -3*y, -3*y + 5*n = -0*y - g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(-87)*9\/1305*-5*-3?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.06 (b) 0.3 (c) -32 (d) -2\/7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3\/6*(-1 - -1). Suppose 0 = -4*x - 4*k + 8, k + u*k = 4*x - 8. Suppose 4*l + l = t + 3741, x*t - 1506 = -2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/113)\/(4\/(-24)). Let f = 381\/791 + n. Let p = -7.48 + 3.48. What is the second smallest value in f, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s - 1. Let x be ((-5)\/(-2))\/((-15)\/(-6))*1. Let g be i(x). Solve -g*j = -4*j + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -7\/1608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 520 = 5*u + 2*w, -4*u = -3*w + 416. Let o = -791\/8 - u. What is the common denominator of o and -39\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 26*u - 36. Let z be v(-4). Let b be z + 5\/(25\/(-10)). Find g, given that -2\/5 - 1\/5*g**3 + 0*g**b + 3\/5*g = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 11*n**2 - 33*n + 652. Calculate p(10).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74490*k + 6*o = -74495*k - 5, 0 = -3*k - 4*o - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-528)\/(-96)*10\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1870*z - 1873*z + 15441. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2936.2 * 0.13\nAnswer: -381.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886585361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f = 0. Let h be -1*(1 + -1 + f). Suppose t - 4 - 4 = h. What is the lowest common multiple of t and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 1 - 1)*(-2*r + 6*r - 3*r) + (-10*r**2 + 5*r**2 - 4*r**2)*(2 - 1 + 0) + 2*r**2 - r**2 + r**2 to the form q*r**2 + z + o*r and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 693223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - -1)\/((-12)\/(-324)) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5 - 33*i**4 + 91*i**3 - 27*i**2 - 92*i + 60 = 0. Calculate i.\nAnswer: -1, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36906 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18*r + 10413 - 10413. Let p(a) be the second derivative of -a**3\/2 + 11*a. Calculate y(p(h)).\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 907, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(75) + -1 + -3))**2.\nAnswer: -360*sqrt(3) + 819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + q - 1 = 0, 2*q + 8 = -1731*f + 1732*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-56) - 91\/(-40))*5. Suppose 0*z - 2*a - 60 = -3*z, -4*z - 5*a = -57. Let t be z\/(-15)*-30*3. Calculate the greatest common divisor of v and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 - 27*k. Let s(j) = 39*j. Determine w(s(n)).\nAnswer: 7605*n**2 - 1053*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j + 9. Calculate d(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*t**3 + 31*t**3 - 78 + 92 to the form f*t**3 + k + o*t**2 + w*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1202*m + 3605. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/15, -1.6, -2\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z - l + 6 + 20, 0 = -l + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434 - -436. Suppose -3*q + 8*q - 18 = p*n, -q - 5*n = 18. Factor 0*y**q - 4\/3*y + 0 + 1\/3*y**3.\nAnswer: y*(y - 2)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**4\/24 - l**3\/2 + 49*l**2. Determine x(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {p: 1, f: 1, n: 2, o: 1, g: 2, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -26, -28, -26?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, -16.5, 2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2640 + -2639.995273. What is k rounded to 4 dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*s - 43. Suppose -4*y - 18 = -4*n + 6, 0 = -4*n - 3*y + s. Let h(u) = -u**3 + 6*u**2 + u + 3. What is the remainder when h(n) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*u**2 + 324 + 42*u**2 + 43*u**2 + 38*u**2 + 36*u**2 + 2*u**3 as p*u + n + s*u**3 + k*u**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) + 2*sqrt(66)))\/(sqrt(6) - (sqrt(6) + sqrt(294) + 1*sqrt(294) + sqrt(6))).\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 1 w when three letters picked without replacement from {c: 1, z: 3, i: 2, w: 3, a: 1, y: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 9) to base 4\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 6216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((2*sqrt(98) - sqrt(98)) + sqrt(2))*-2.\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14070*x**2 - 2003*x - 52727348 wrt x.\nAnswer: 28140*x - 2003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-35) + 59\/(-5). Let b be ((-6)\/(-12))\/((-1)\/p). Solve -f + 6*f + 4*q + b = 0, 5*q + 24 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132752, 530811, 1194256, 2123099, 3317352?\nAnswer: 4777027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5477.084 rounded to the nearest integer?\nAnswer: 5477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*617.24217\nAnswer: -3086.21085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/(-3))\/(0 + (-3)\/(-1013)).\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 2:33 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1643 - 1749. Let l = 105 + z. Let g = 0.8 - 1. Which is the closest to l? (a) g (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 6. Let k be (z\/(-6))\/(5\/30). Let o be (-1 - 2\/k)\/2. Which is the nearest to 0.1? (a) -2 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3343 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 12*c**2 - 14*c + 9. Suppose -l + 5*l + 52 = 0. Let h be v(l). Suppose 79 = 3*p + h. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) 4\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*k + z, 2*k - z - 2*z - 7 = 0. Suppose 2*f = -k*h - f + 320, 0 = -f. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 3*x - 1. Let b be i(-2). Let r(g) = 6*g - 1. Let n be r(b). Suppose -2 = -n*h + 13. What is the highest common divisor of h and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**3)\/q)\/(q\/(q\/(q\/q**(-5\/6)*q))))**35\/(q**5\/q**(2\/11))**38 assuming q is positive.\nAnswer: q**(-25559\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(1\/(-3)*-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/9629438 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2*(-3)\/(-1). Suppose 0*m - k*m = -40. Calculate the highest common factor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4523493634 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from kljlx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 0.14. Let j = 12 + -15.2. Let g = j + 3. Sort -4\/5, g, r in ascending order.\nAnswer: -4\/5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((2\/(-24))\/(((-754)\/(-29))\/(-234)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d + 5*q = -137, -3*d - 97 = -2*q. Let v(o) = o**2 + 28*o - 163. Let i be v(d). Solve i*c + 3*z = -11, -4*c = -3*c + 5*z + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -2) + -9 + -426 + 2887.\nAnswer: 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 22 = 12*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -24, -41, -62, -87?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Let r be 1\/((9\/15)\/3). Let z be u(r). Let m = z + 7. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093972 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4775\/41006?\nAnswer: -4775\/41006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 12 = -3*j, j - 15 = -4*w - 34 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 2}. Give prob of sequence ad.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10417768 is divided by 5208862.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -3 - (5072\/(-630))\/8. Let q = 311\/630 + y. Determine x so that -1\/4*x**2 - 3\/4*x - q = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let h(j) = 6*j. Let v(t) = 2*h(t) - 11*z(t). Suppose -s + 3 = 2. Let w(l) = 4*l. Let x(o) = s*w(o) - 5*v(o). What is x(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 + 331. Let d = -182 + t. Is -0.2 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(-30)*-3*106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6235 - 25613 = 0. What are the prime factors of z?\nAnswer: 2, 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 3, b: 1, e: 5, w: 4}. Give prob of sequence eff.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2656)\/4980*(-4)\/16)\/((-25)\/(-3))?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -149669 < -149669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g - 2488 = 3256*g + 14183 - 3523 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -52, -83, -118, -157, -200, -247?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtxa when four letters picked without replacement from {g: 1, j: 1, a: 1, x: 1, t: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 45 = 60. Let c be (-3)\/((-27)\/2) - 520\/(-9). Let l = c - 61. Put l, b, 1, 0 in decreasing order.\nAnswer: b, 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 23*k - 669. What is the least common multiple of 4 and m(39)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*q + 4*n, 2*q + n - 14 = -n. Let u be 304\/10 + q\/(-15). Solve -c + h = -4*h + u, 2*c + h + 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33150 + -17591. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 889 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vycv when four letters picked without replacement from {v: 3, k: 2, y: 1, c: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15544.75889 - -15545. What is g rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-o - 3*o + 2*o) + (-2 + 0 + 1)*(-3*o + 4*o + 0*o) to the form a + p*o and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4271664667 to the nearest integer?\nAnswer: 65358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1785\/(-14)*(-4)\/(-3). Let o be 2\/7 + a\/7. Let h = o - -40. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/406)\/((-3)\/(-3))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1581 divided by -1.\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(6\/2))\/(-11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*v - 3*s, -2*s = 7 + 3. Suppose 8*j - v*j = -132. Let i = 2 + j. Round i to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*c + 2931*c - 3 + 3409*c + 3 - 1111*c.\nAnswer: 5049*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 0*z**2 - 6*z**2)*(4*z - 3*z + 0*z) + 1 - 2*z**3 - 1 - z**3 - 13*z**3 + 48*z**3 as u + s*z + p*z**2 + r*z**3 and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -6*k**3 + 28*k + 24. Differentiate q(x) wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -363 - -30491\/84. Calculate the common denominator of (37 - 32)*(-85)\/(-70) and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l. Let r(c) = 17*c. Let x(n) = -9*f(n) - 4*r(n). Let m(u) = u. Give x(m(p)).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2845*n**3 - 4194*n**3 - 4205*n**3 + 11243*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -922, 4, 3, -3 in ascending order.\nAnswer: -922, -3, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32 + -11 - 72\/8. Solve 0 = -2*h + 4 - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.2938 - 11754.\nAnswer: -11773.2938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.3 - -19.331. Let j = 0.431 - r. What is the second biggest value in j, 9, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756a (base 13) in base 16?\nAnswer: af49","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*(x*x*((((x**0\/x)\/x)\/x)\/x)\/x)\/x))\/x**(2\/17))\/((x\/x**(2\/35))\/(x\/x**4)))**(-13\/2) assuming x is positive.\nAnswer: x**(234\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -19*g**3 + 7*g**2 - 7*g. Let v(f) be the second derivative of 0 - 1\/3*f**4 + 0*f**2 + 1\/2*f**5 - 50*f + 2\/3*f**3. Calculate 4*s(u) + 7*v(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2324870287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 346 = 4*z + 2*f, 350 = -4*z - f. Let q be z\/(-16) + 1\/(-2). Solve q*o = -d - d - 2, 0 = 3*d + o + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/137 + 131\/411. Let o(m) be the third derivative of -1\/12*m**4 + w*m**3 + 0 + 0*m + 2*m**2. What is the derivative of o(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 399 - 195. Let l = 204.00000113 - q. Round l to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 3 - 3. Let o(c) be the third derivative of -4*c**5\/15 - 2*c**2 - 3*c - 1101. Determine f(o(y)).\nAnswer: 512*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 164*r**2 - 9*r - 3. Let s(u) = 2*u**2 + 8*u - 9. Let h be s(-9). Let a be ((-2)\/(-6))\/(3\/h). Let y be n(a). Round y to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c - 10. Suppose -2*k - 13 = w, c*k = w - 0*w - 3. What is the third biggest value in 0, w, -0.03?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 - 14*d**2 + 6*d**2 + 2 to the form z*d**2 + p + y*d and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 587511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.34 + 0.21. Let b = -8.87 + d. Let l = 1.2 + 3.8. Sort 0, l, b in descending order.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5397 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, i: 6, k: 2, e: 2, b: 6, v: 1}. What is prob of sequence evo?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.2 (b) 209 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 5*o**2 - 6*o + 8. Calculate the lowest common multiple of (-27 + 1)*(-40)\/2600*20 and z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11568 by 4.\nAnswer: -2892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*a + 2*r, 3 = a + 3*r + 4. Solve -4*d - 9 = a*v - 25, -3*d = -v - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 605*v + 6 + 6 - 10 to o*v + p and give o.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, k: 1, r: 5}. Give prob of picking 2 r and 2 d.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/13)*a)\/a**(3\/2)*a**(-5)*a*a*a*a*a\/a**(-13)*a)**(-12\/5))**(1\/30) assuming a is positive.\nAnswer: a**(-347\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**1\/c)\/c*c)\/c)\/c**2 assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q + 5 - 12*q + 48*q - 17*q. Let x be o(3). Let c(l) = -3 + x + 1 - l. Let d(b) = 7*b. What is c(d(i))?\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 2*o - 30. Let s be k(7). Solve -2*t - s = 4*h - 5*t, 5*h = -4*t - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2379*y - 858537 = 2370*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 9, 11 in ascending order.\nAnswer: -14, -5, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**13\/m)\/m)\/(m\/(m**45*m*m)) assuming m is positive.\nAnswer: m**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11ad174 (base 15) to base 14\nAnswer: 1988639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -189378*d**2*z + 69*d**2 + 85*d + 2 wrt z.\nAnswer: -189378*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 20363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899541 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/156*13*(-1995)\/(-114).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f + 37. List the prime factors of j(5).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 6642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*y + 6398, -5*t + 5*y = 2449 - 10459. Is t a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102954060 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {j: 3, h: 1, m: 1, c: 1, d: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 2*x**4 - 5*x**4)*(0 + 0 - x) + 3*x**5 - 6*x**5 + 4*x**5 + (-2*x**2 + 0*x**2 - 2*x**2)*(-9*x**3 - 9*x**3 - 53*x**3).\nAnswer: 287*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2542 - 18858 = -40*w. What is the remainder when w is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 99. Let q = -59 + 59. Factor 0 - 2\/5*r**w + q*r - 1\/5*r**3.\nAnswer: -r**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 18176*a**3 + 544680*a**2 - 5444800*a + 18146000.\nAnswer: (a - 18146)*(a - 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3137 + 4 + -7 + 2 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 23*b**2 + 21*b + 19. Let h be g(22). Let v be (-6*h\/21)\/(150\/140). Sort 5, 1, v, 1\/2 in ascending order.\nAnswer: 1\/2, v, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 3 + 3)*(-s - 3*s + 2*s) + 33*s**3 + 35*s**3 - 59*s**3 + (-3 - 2 + 3)*(0*s**3 + 2*s**3 + 0*s**3).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + w + 2. Let b be y(0). Let u = 0 + 0. Suppose 5*i - 25 = u, 2*a = -3*a + 5*i - 10. Solve 2 = b*c, a*c = x + 4*x + 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and 766115019.\nAnswer: 766115018.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from snvnv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 119\/(-51)*(-1)\/(-7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 15*r**2 - 60425*r + 20140 = 0.\nAnswer: 1\/3, 4028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280 + -280. Let u(b) be the first derivative of -4 + o*b + 3\/2*b**2 - 2\/3*b**3. Find the second derivative of u(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/30 + 13*h**4\/12 + 278*h**2 + 3. Let y(n) = -7*n. Calculate y(l(b)).\nAnswer: -14*b**2 - 182*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162650 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 3*r**2 - 8*r + 7. Let j be y(-5). Let v = j - 91. What are the prime factors of v?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 - 386 - 3877 - 4776)*(-2*x**4 + 4*x**4 + 0*x**4).\nAnswer: -18386*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 4*u + 1. Let i be f(4). Suppose 2*n + 4*w - 22 = 0, n = -0*n + 2*w + 11. Calculate the greatest common factor of n and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -25*f**3 + 3*f**2 - 3*f + 4. Let g(h) = -4*h**3 + h**2 - h. Let j(u) = -a(u) + 6*g(u). What is j(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 5*m)*(-3 - 1 + 3) + 46*m - 14 - 4 + 16.\nAnswer: 44*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20973071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 78*z - 1517. Determine c(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3056809166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*g = 133*g - 6, 4*g = 3*n - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 42100 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 129364 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:26 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/525105 and -46\/385077.\nAnswer: 5776155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 118*d - 253. Is r(26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204105 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 42*s**2 - 125*s**2 + 35*s**2 + 43*s**2 - 5*s + 2 in the form n*s + d*s**2 + o and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1343440 (base 5) to base 2\nAnswer: -110110101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -85.976. Let h = z - -52.976. Let y = h - 52. Which is the smallest value? (a) -10 (b) y (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let j(z) = -5*z + 10. Calculate -3*i(x) - j(x).\nAnswer: 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - (-5664)\/(-40). Let r = 219 + q. Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pffhhfhfhpp. What is prob of sequence pph?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 5, -1, 0, 2 in descending order.\nAnswer: 5, 2, 0, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -81*(3 - 95\/30)\/((-4)\/(-40)). What is the greatest common factor of 1260 and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {o: 4, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - 2)\/6*((-79)\/(-9) + -58 + 49).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(7)*-1 + sqrt(7))**2 + sqrt(7) + (sqrt(35)\/sqrt(5) - sqrt(7)) + -1.\nAnswer: sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = 9. Suppose i = 2*s + 7. Suppose s*c = 3*c + 219. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -26. Suppose -2154 = -4*w - 3*n + 1414, s = 5*w - 4*n - 4491. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (3 + 0) - -1. Suppose t*s = 3*s - 9. Let v = 3 + -5. Is s equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - 0.23. Let j = 40 - 24. Suppose 7*n - 3*n = -j. What is the third biggest value in 2\/3, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73236 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4214 - 17?\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = -0. Suppose 0 = -m - 5*f + 30, -c*m + 2*f + 10 = m. Let d(b) = 0*b - 1 + 0*b - b. What is d(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 - -0.46?\nAnswer: 407.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -16*c**2 + 86*c - 9. Calculate the remainder when 39 is divided by z(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16 - (-365)\/20)*-3*(-2)\/105 and 169\/150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18*(-2 - -1). Let k = -0.12 + 0.1. Let b = k + -2.98. What is the biggest value in a, -1, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 17 = 5*r, 8 = 4*j + 105*r - 107*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**3\/3 - 5*l**2\/2 + 7*l. Let r be a(-14). Let z = 63 + r. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13600, -27210, -40820, -54430, -68040, -81650?\n\"Answer: -13610*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 124.6, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -81*t - 21. Let v(c) = 82*c + 21. Let h(i) = 5*v(i) + 6*y(i). Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.8 (b) 2 (c) 5 (d) -56 (e) 2\/19 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + -11.85. Let y = 14 + u. Let g be 9\/6*(-4)\/(-27). Which is the nearest to 1\/3? (a) y (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23540 less than -0.0967?\nAnswer: -23540.0967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1441.39 and 5.91?\nAnswer: 8518.6149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*-1*3 + sqrt(132))\/((sqrt(112) - sqrt(28))\/sqrt(7)))\/((sqrt(1331) - sqrt(1331)*2)*5*-1)*6)**2.\nAnswer: 432\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337*z**3 - 11*z + 433*z**2 + 40*z - 15*z - 14*z wrt z.\nAnswer: 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*v + 6*v. Suppose 0 = 4*w + p - v, -w - 3*p = 2*w + 3. Find the second derivative of 3*b + 3*b**2 - 4*b - b**w wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296\/(-1440)*5\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34937 and 53475?\nAnswer: 2620275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103369.\nAnswer: 7, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/120 - k**5\/30 - k**4\/24 + 6*k**2. Let n be t(-1). Factor n + 0*u + 3\/2*u**2.\nAnswer: 3*u**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351075\/(-18724) - (-1)\/2*2\/(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 12. Suppose 0*c + 17 = -c - 4*s, -3*s + 39 = -5*c. Let u = c - -3. Let h be w(u). Solve h = -a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:38 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386081747.\nAnswer: 17, 1087, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012 * -2696.\nAnswer: -32.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((1 + 3)\/(-4)). Suppose -v + 5 = -i*v. Let k(j) = -j - 5. Let s be k(-8). Solve 0 = v*f + s - 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2)*d\/(d\/(d*d\/(d*d*d**(5\/6)*d)))*(d**(-2))**36 assuming d is positive.\nAnswer: d**(-425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 3. Let q be 5\/((-2)\/(-4) + 0). Suppose 1 = -u*m + q. Sort -5, m, 0.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*w - w = 126*w - 22794 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.1 + 0.1. Let g = -13.4 + 13. Put g, -1\/5, k in ascending order.\nAnswer: k, g, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**7\/490 + x**6\/420 - x**5\/140 - x**4\/84 + x**2 - 24. Factor m(i).\nAnswer: i*(i - 1)*(i + 1)*(3*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*p - 593, 2*c + 3*p - 66 - 173 = 0. What is the remainder when c is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -3493*q + 6987*q - 3489*q + d, 5*q - 15*d + 400 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5804389\/20943840 - 5\/87266. Calculate the common denominator of 113\/30 and q.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.21963 + -0.21963. Sort 63.8, -1, z, -5 in descending order.\nAnswer: 63.8, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.4, -267, -4, 29?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 5*s**2 - 2*s**2 + s + 25 - s**2 - 59 + 0*s**2 as c*s**3 + j*s + g*s**2 + w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -1. Are i and 11 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/13 (b) -3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 34. What is the tens digit of (-4)\/(-10) - 744\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 66\/12 - 6\/(-4). Let v be (0\/(-6))\/1 - (1 - 0). Let y = -94 - -90. Sort v, n, y.\nAnswer: y, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 66. Which is the nearest to g? (a) -3\/7 (b) 0.5 (c) -0.1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**2 + 2*r - 18. Let y be m(-6). Solve y = 7*o + 345 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v - 59. What is r(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929 + y - 938 + 1860.\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24389717 or 24389718?\nAnswer: 24389717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f - 80*f + 41*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3200*j - 3194*j - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrmuuujujulrmjjmrlum. What is prob of picking 2 r?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*v - 52 = 0, -3*v + 4 = -4*v. Let m = t + -16. Let s be -5*(4 + (-2356)\/590). Are m and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 5*d - 2*d. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 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 x = 120 - 76. What is the second biggest value in 3, -6\/11, -4, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -703812 by 175953.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 46 + 13 - 15 + 15*g to j + h*g and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 3.67.\nAnswer: 0.4404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35969 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-43*l + 13*l + 19*l) - 4*l + l + 2*l)*((0*l - l - l)*(0 + 3 - 1) - l - 1 + 1 - 5*l + 3*l + 0*l).\nAnswer: 161*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -3*(1 - -4). Suppose s = 5*x + 20, 0*s = -s + 3*x + b. Let q = -582 + 582. Solve -s*c = -q*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 0, -2*z - 53 = -2*u + 23. Solve 0 = -14*p + 18 + u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172 = 462*p - 2027 - 1917 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/3344 and 37\/49588?\nAnswer: 3768688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - h + h - 40*h**2.\nAnswer: -40*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 8*z = -60. Calculate the remainder when 77 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vov when three letters picked without replacement from {z: 4, s: 9, q: 2, o: 1, v: 4}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2353 - 247 = -17*h - 33*h. What is the highest common factor of h and 15236?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - y - 7 = -0*y, 2*o - 3*y - 19 = 0. Let x = 13 - o. Calculate the remainder when 32 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 smaller than -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116*((-28797)\/12)\/(-29)?\nAnswer: 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10264.83 and 1414.\nAnswer: -8850.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b**3 - 96*b**3 - 122*b**3 + 67*b**3.\nAnswer: -196*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:30 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6206)\/(-12840) - (-2)\/(-24). Which is the biggest value? (a) 9 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*-4*945\/3726*32\/112.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13466240 divided by -40?\nAnswer: 336656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - v + 16072, 20 = -10*v + 5*v. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -25*u**3\/6 + 13241*u. Let y(d) = 149*d. Determine y(o(j)).\nAnswer: -3725*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 5*h**4\/24 - h**3\/3 - 4*h**2 + 20*h. Let w(q) be the first derivative of p(q). Give w(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 332, -0.07, 0.05, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -13. Let z = t - 8. Solve 0 = -z*x - 6 + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 5*w**2 + 5*w + 18. Let n be q(-4). Suppose 0 = -4*t + 26 - n. Let f(z) = z**2 - 2*z - 3. Let p be f(3). Solve -t*v + 3 = -p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.002 - 1.998. Let g = -0.14 - -0.1. Let v be -4 - 28\/(-3) - (0 - -7). Which is the third smallest value? (a) -0.2 (b) g (c) r (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-394 - -263) + (-47112)\/(-360).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.6046l in millilitres?\nAnswer: 88604.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/5 - 522*f\/5 = 0. Calculate f.\nAnswer: 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 51. Suppose -i*p + 18 = u - 28, p = 5. What is the lowest common multiple of 6 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + sqrt(2) + sqrt(2) + -3)**2.\nAnswer: -12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 divided by -21?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 681, 946, 1317, 1794?\nAnswer: 2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15144 divided by 1.\nAnswer: -15144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 26) + -13 + (12 - (-24 - -14 - -155))?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3981, -3964, -3983, -4038, -4129, -4256, -4419?\nAnswer: -4618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((825\/(-495))\/((-8)\/(-6)))\/((-5)\/6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 3)\/(-5) - (1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 8. Let g be r(12). Suppose -5*a = 2*w - 0*w - 61, -w = -g*a + 41. What is the greatest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034 bigger than 6035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1117393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2206*h**2 - 6*h - 1099*h**2 - 1108*h**2 - 59 to o*h**2 + j*h + m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1565930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 77 - 68 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhky when four letters picked without replacement from {p: 1, k: 14, q: 1, j: 1, y: 1, h: 1}?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-12 + 23\/(92\/192)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 3*l**2 - 4*l + 1. Let i(h) = -9*h**3 - 8*h**2 - 11*h + 2. Determine -8*d(f) + 3*i(f).\nAnswer: -3*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 6. Let q(s) = -s**2 - 5*s + 2. Let t(g) = -1. Let w(f) = -q(f) - 3*t(f). Let o be w(-4). Is o at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-4 + 7) - -9. Calculate the highest common factor of i and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-6)*90\/(-60). Let g(v) be the first derivative of -v**3\/3 - 3*v**2\/2 - 3*v + 12. Give g(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuu when three letters picked without replacement from bbpwubpuuvupubpvupup.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 1:27 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13994 + -3?\nAnswer: 13991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 less than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uksi when four letters picked without replacement from uvkis?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 308*g**2 - 1296*g + 10368.\nAnswer: -4*(g - 4)*(g + 9)*(g + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/8)*b*b*b)**(2\/17)\/(b**(-12)*b\/(b\/(b\/b**(-16)*b))))**(1\/3) assuming b is positive.\nAnswer: b**(-373\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 11*a - 2*o = -2, -a - 5*o - 7 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzaa when four letters picked without replacement from zzzazta?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 4. Let m be s(-4). Suppose m = 2*a - 2*t - 44, -5*a + 3*t + 26 = -4*a. Calculate the lowest common multiple of a and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 16*o + 2. Let z be f(16). Factor -3*l**3 + 2*l**z - l**3 + 4*l**4 - 10*l**2.\nAnswer: 4*l**2*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.066 - -0.066. Which is the nearest to -1? (a) -0.01 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-6) + (-4)\/(-12). Let o(a) = -11*a**3 + 5*a**2 + 15. Let g(j) = j**2 + 1. Let b(r) = d*g(r) - o(r). Differentiate b(q) with respect to q.\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 37 + (0 - (6 + (-4 - -8))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 3 (c) -5 (d) 0.4 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**(1\/5)\/x)))\/x)**(-3\/4)*x**(-5\/7)*x*x*x\/x**(-2\/15) assuming x is positive.\nAnswer: x**(1583\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c + 4371 = 95*c. Let o = 533 + -276. Let v = o - c. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26481 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rguohko. Give prob of picking 1 r and 1 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 114001*b**4\/12 - 2*b**2 - 101*b. Let j be s(2). What is j rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n - 2*n. Let d = 4860\/23 - 69649\/92. Let z = -549 - d. Does z = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from jjmmppmmjmjjm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 218*j**2 + j - 1. Is n(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 - 26*r - 6*r**2 + 9*r**2 + 20*r = 0. Calculate r.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20 - 1751*h + 1751*h + 6*h**4 wrt h.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 719, 2490, 5441, 9572, 14883, 21374, 29045?\n\"Answer: 590*r**2 + r + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -a604 (base 15) in base 16?\nAnswer: -8920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.04 (b) -8 (c) 0.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -980*p**2 - 22464 + 1184*p**2 + 2*p + 22463 in the form w*p**2 + j + q*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -10*n**5 + 15584*n**4 - 6226*n**3 - 9348*n**2 = 0.\nAnswer: -3\/5, 0, 1, 1558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*i + 31, -i = q + 4*q + 17. Let v(k) = 2*k**2 - 5*k + 3. What is v(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3659 is divided by 3652.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let q(f) be the first derivative of 0*f**2 + f + 1 + 1\/3*f**3. Let m(h) be the first derivative of q(h). What is n(m(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -59.56. Let n = d - 3.56. Let p = -0.16 - -0.26. Which is the closest to p? (a) -2\/9 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**4 - 4*q**3 - 17*q**2 - 2*q - 1225235 wrt q?\nAnswer: -4*q**3 - 12*q**2 - 34*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1494\/7 - -26857\/126. What is the common denominator of 1 + -2 - 952\/(-240) and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-54))\/(76\/171).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132978294 by -54.\nAnswer: -2462561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + y - 212, -2*y - 89 = 5*f + 132. Let s be 6 - 3 - (f + 1). Calculate the greatest common divisor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 5*i + 5. Let p be k(-6). Let l = -0.06 + 1.06. Let z = -1.2 + l. Put z, 0, p in decreasing order.\nAnswer: 0, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 13*x**2 + 22*x + 6. Let f be m(-11). Suppose -f*a = -2 - 22. Suppose -a*u = 0, -244 = -4*i - 0*u - 2*u. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/s*s*s\/s**1)**32 assuming s is positive.\nAnswer: s**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*t + 0*t - 8)*(-25 + 25 + 19*t).\nAnswer: -38*t**2 - 38*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -u, 3*o + 2*u - 4*u - 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k*k*k*k**(3\/2)*k**(1\/2)\/k*k**(2\/7)\/k)\/(((k\/(k**(-5)*k))\/k*k*k)\/(((k*k**(-5)\/k*k*k)\/k)\/k)*(k**0)**(8\/9)) assuming k is positive.\nAnswer: k**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 1. Let k be c(1). Suppose -2 = k*l + w, 4*l - 2*w - 4 = -0. What are the prime factors of 15 + l + (-2)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(-2*sqrt(1728) + sqrt(1728))*6)\/(((2*sqrt(108))\/sqrt(9))\/(sqrt(32)\/(sqrt(128) + sqrt(8)))).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from rzrfzfrrzrffrzrrz.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64433 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 362 = 63. Let f be (8\/(-2))\/(13\/l). Let y be (4\/(-5))\/(2\/(-5)). Put y, 42, 1\/6, f in descending order.\nAnswer: 42, y, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 893 - 969.2. Let r = -62 - x. Round r to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 11:14 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 + 78 + 2*u**2 - 39)*(13*u + 14*u - 21*u) as m + c*u**2 + s*u**3 + g*u and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 3, -363, 1, -0.21, 4\/5, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n**2 + 7*n + 2. Let f(v) = -8*v**2 - 4*v - 1. Let r(y) = -y**3 + 5*y**2 + 4. Let c be r(5). Calculate c*j(x) + 7*f(x).\nAnswer: 4*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/25))**(-27\/7)*(n\/n**29)**(-3\/10))**(-48) assuming n is positive.\nAnswer: n**(-71856\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8\/70)\/((-7)\/((-98)\/12))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2787, -2786, -2785, -2784, -2783?\n\"Answer: n - 2788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.14 (b) -6 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 603159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4091 = 5*m - 3*w + 397, 5*m + 3*w = 3706. What are the prime factors of m?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/915?\nAnswer: 1\/915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4192580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.47095 to 2 dps.\nAnswer: -6.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122840)\/2324 - (-56)\/(-49).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 397 = 337. Let h(c) be the first derivative of -6*c + 6 + 0*c**2 - 1\/3*c**d. Find the first derivative of h(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4901*g. Let c(a) be the third derivative of -a**4\/6 + 5*a**2 + 218*a. Give c(d(s)).\nAnswer: 19604*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127012717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 588305298*t - 28841926971239067.\nAnswer: -3*(t - 98050883)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224309333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -6, 31 in increasing order.\nAnswer: -10, -6, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 84. Suppose -780 = -132*v + 119*v. Calculate the greatest common divisor of v and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23a4cc (base 16) to base 13\nAnswer: -63a324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0 + 0*y + 85\/6*y**3 - 1\/24*y**4 + 3*y**2. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1361164 + 136?\nAnswer: -1361025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 751442 divided by 80?\nAnswer: 375721\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from nggggggg.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqc when three letters picked without replacement from dcqddqqcddddqdcc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 220495 and -0.4?\nAnswer: -88198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 48 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/33*2\/(-96). Let z = -85\/36 + p. Put z, -0.3, 1\/8 in descending order.\nAnswer: 1\/8, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:22 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3640 and 88088.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {h: 1, n: 6, f: 12}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2694870.2883+5\nAnswer: -2694865.2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 527373.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20236)\/15177*(-3)\/104?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -13. Let k = 0.0524 + -633.0524. Let p = 630 + k. Put -0.3, j, p in descending order.\nAnswer: j, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -94352 (c) -11 (d) 3 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h + 6*h**2 + 3*h**4 - 6*h**3 - 3\/5*h**5 + 3\/5.\nAnswer: -3*(h - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2774731, 5549553, 8324365, 11099161, 13873935, 16648681, 19423393?\n\"Answer: -g**3 + g**2 + 2774826*g - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -22*p + 1408. Let y be k(20). Calculate the greatest common factor of 792 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Suppose -i = -2*i - 1. Let t(b) = -7601*b**2 + 6*b - 7596*b**2 + 15200*b**2. Let w be 6\/9 + 16\/3. Determine i*t(y) + w*k(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -590609669\/6 >= -98434945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Suppose g + 4*n + 17 = n, 25 = -5*n. Let f be (-1)\/g + 6\/i. Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*a - a - 1692, 2*w = -3*a + 1117. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 0 + 0)*(-768 + 347 - 773) as p*h + o*h**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g - 4. Let c be i(0). Let v = -7 - -6. Let u = v + -1. Sort c, 2, u.\nAnswer: c, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.357 + -4.643. Let z = 9.9 + 2.1. Let t = z + -7. Put g, t, 1\/2 in descending order.\nAnswer: t, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5996*h + 455*h - 3726*h - 1320*h + (1 - 5 + 3)*(0*h + h - 2*h).\nAnswer: -10586*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n - 4. What is the second derivative of -101*m**4 - 20*m**n - 27*m**4 - 14*m**4 + 50*m wrt m?\nAnswer: -1944*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 - 2 = 0. Let u(w) = w**3 - w**2 + 2*w - 1. Let c be u(1). Let q be (c\/(-2))\/((-2)\/4). Solve v = -a + q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, 2, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979, -954, -929?\nAnswer: -904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/340 and -31\/7054014.\nAnswer: 70540140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50882 = -8*u + 39062. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/30*((-15)\/25)\/((-78)\/(-45)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:58 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 638708\/2981 bigger than 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1078 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 7*y**2 + 473*y + 3248. Calculate w(-7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g - 4*g + 3*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/9)\/i*i)\/(i**26*i)*(((i\/i**27)\/i)\/i)**8 assuming i is positive.\nAnswer: i**(-2266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = -5. Is ((-5)\/(-15))\/(p\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**3\/6 - 2*a**2 - a. Let m be (-108)\/21*252\/(-54). Suppose 61*p - 65*p = -m. Calculate t(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzpzzz. What is prob of picking 2 p and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 - 191*t**2 - 402*t**2)*(-2*t - 2*t + 3*t).\nAnswer: 593*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**5\/20 + n**4\/2 - n**3 - n**2 + 3*n. Let v be g(5). Let i(q) = q + 3. Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.615 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*u + 8, -5*m = 2*u - 38 + 16. What is the third derivative of 10*z - 88*z**6 + 6*z - 21*z + 60*z**2 + m*z wrt z?\nAnswer: -10560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32214*c**3*u**4 + 5*c**3*u**2 + 2*c**3*u - 6353*c**2*u - 3*u wrt u.\nAnswer: 386568*c**3*u**2 + 10*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331790 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71711 - 71709. Let t(n) = n**2 - 5*n - 1. Let k be t(6). Let b be 8\/(-6) + (-2)\/(-6). Put k, b, z in ascending order.\nAnswer: b, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 10) in base 9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107504 a multiple of 359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = 5. Suppose 2*g - 8 = -f*g. Let j be (-7 - -10)\/(30\/60). Solve -j = -3*t, 3*w = -5*t - g + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1848 divided by -12\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 7328?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635.304 years in decades?\nAnswer: 263.5304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6) + 10\/15. Suppose 3*m + 7*t - 530 = 6*t, 0 = -w*m - t + 352. Does 26 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/153, 2, 1, 37\/2 in increasing order.\nAnswer: 2\/153, 1, 2, 37\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {y: 1, j: 4, s: 1, m: 3, t: 1, x: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 208 = -38. Suppose -3*g + 5*g - 176 = 0. Suppose -8*h - k = -13*h + g, -3*k = -3*h + 48. What is the lowest common multiple of h and u?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1273048 and 326264016.\nAnswer: 2283848112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4415389 + 372*z - 70*z + 4415389.\nAnswer: 302*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6 - 1 - 2*r**3 to the form s + a*r**3 + j*r**2 + t*r and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 8) in base 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*sqrt(1300) - sqrt(1300)) + 5)**2 + (((sqrt(1053) - (sqrt(1053) + 0))*5)**2 - (1 + sqrt(1053)*1)**2).\nAnswer: -78*sqrt(13) + 10647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*(-70)\/(-40).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5*(0\/(-3) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(9)\/sqrt(3)) - (sqrt(252) + 0)*3.\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1938 and -209.\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1912 > -117\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 + 88*p + 565. What is o(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -21.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/150 and 17\/120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1153 divided by -73415\nAnswer: 1153\/73415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 13*i**2 - i - 6. Let v be r(-13). Suppose v*y - 5*y = 6. Which is greater: 6 or y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11186826.2 and -3.\nAnswer: -33560478.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/125? (a) 3 (b) 4 (c) -2\/3 (d) 0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*k + 19*k - 64*k + 690 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2381*p + 2379*p = -22. What is the remainder when 359 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.945241497 rounded to two decimal places?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3 times -4?\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**5\/20 + c**4\/4 + c**3\/3 - c**2\/2 - c. Let d be m(-3). Let o = -4 - d. What is the highest common divisor of o and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/21 + 1350\/21. Suppose 4*g = 0, -5*k = -k - 2*g + 224. Let h = k + z. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:12 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6*v**3 + 368*d**6*v + 2*d**2*v**2 + 21*v**3 + 1 wrt d?\nAnswer: -120*d**3*v**3 + 44160*d**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25732981667*l**2 + 303 + 25732981670*l**2 - 303.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 34*b - 22. Let d(l) = -36*l + 19. Give -6*d(h) - 5*w(h).\nAnswer: 46*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/270 and -119\/4836.\nAnswer: 217620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**5*l**2 + 3*f**5 + f**3 + 8*f**2*l**2 + 13*f**2 - 5*f*l**2 wrt f.\nAnswer: 480*f**2*l**2 + 180*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 3*v - 3. Let d be h(-2). Let z(t) = 27*t. Let j(s) = -110*s + 7. Let w(u) = -j(u) - 4*z(u). What is w(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12365451 (base 7) in base 10?\nAnswer: -1125615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-26))\/d*d\/((d\/d**9)\/d))\/((d\/d**(-4\/7))\/d*d**(-2\/27)) assuming d is positive.\nAnswer: d**(6710\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27480, 25882, 24284, 22686, 21088?\nAnswer: 19490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**2 - 2*h**2 - 13*h**2)*(116 + 87 - 96 + 123) as b*h + g + x*h**2 and give x.\nAnswer: -2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2469*b + 1868*b**2 + b**3 - 2465*b - 1 in the form g*b**2 + o*b + v + x*b**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.6 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -4)*(-1)\/(-8)*-10. Suppose -o - z*k + 13 = -11, -2*k = -o + 3. What is the remainder when o is divided by ((-24)\/14)\/((-4)\/14 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37197986*t**4 - 3*t**2 + 581652869 wrt t.\nAnswer: 148791944*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 6 - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 4, y: 2}. What is prob of picking 1 d and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 + 9 + 21 + -34 - -19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1321060115 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 751, -4, 0 in descending order.\nAnswer: 751, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -881799.\nAnswer: -68\/881799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 5*g**2 + g**2 + (0 + 0 + 2*g)*(-398 + 398 + 62*g).\nAnswer: 126*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 332156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 13 = -n, 83948*g - 83955*g + 43 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10) + 3 + 1646\/(-1092). Put -3, 2.8, 0, s in increasing order.\nAnswer: -3, s, 0, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + n = 15, -2*x + 5*n = -32 - 1. Solve 3 = -b + x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.5323544 + 62.\nAnswer: 30.4676456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135724904.\nAnswer: 2, 7, 19, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 13 = -4*l + 5*f, 0 = -3*l - 5*f + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 125c2?\nAnswer: 125bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 152905787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3023*a = -2720*a + 3333 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 3, -1, -5, -9?\n\"Answer: -4*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -262, -255, -246?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -1. Let d = l - 4. Let m be 6 - 0 - d\/2. Solve -n = -4*s - 4 - m, -2*s - 6 = -n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15 + -13)\/((-2)\/(-4)). Let n = -17 + 20. Suppose -n*m - 4*h - 14 = 0, 3*h - h = -m - 8. Sort 5, m, t in decreasing order.\nAnswer: 5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.7. What is the nearest to g in -4, -1\/8, -2\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/450 + 11*h**4\/30 - 67*h**3\/45 + 14*h**2 + h. Suppose a(t) = 0. What is t?\nAnswer: -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/73 and -6\/49?\nAnswer: 3577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1) + 14\/16. Let q = -3.65 + 4. Let f = q - -0.05. What is the third smallest value in 1\/3, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 11*m = 54. Suppose -4*c + 12 = -c. Suppose m = c*q - 6. What is the greatest common divisor of 21 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xju when three letters picked without replacement from xxcwuxjxxxkxxj?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i - 12. Suppose -3*k + 37 = 43. Let j = 17 + -23. Sort i, j, k in descending order.\nAnswer: k, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 + 943*l**3 - 94*l - 1.\nAnswer: -24*l**2 + 5658*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/43 or -1.6?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8404 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59326120 or 59326117?\nAnswer: 59326117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(468) + -2))**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81494956 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4995192 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -1\/6*b**4 + 1\/18*b**6 + 0*b + 1\/6*b**2 + 0*b**3 - 8 + 0*b**5. Factor m(n).\nAnswer: n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-82882)\/(-609) - 16\/168. What is the highest common divisor of w and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1806, 1803, 1792, 1767, 1722, 1651, 1548, 1407?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 524706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 + 0 = 0, -5*z + 4*k = -41. Suppose z*l = 7*l - 2. Let f be (-45)\/(-3) + -3 + l + -1. Calculate the greatest common factor of f and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 3\/2*b**2 + 34*b - 46. Find the first derivative of q(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((3 + sqrt(112))*-1 + 0)**2 - ((sqrt(294)\/(-1*sqrt(6)))\/(sqrt(196)\/sqrt(7)))**2).\nAnswer: 24*sqrt(7) + 493\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 3*i - 4*i - 12*i + 4*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 87 - 23 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(3 + 0 + -4). Let q = 2 + 1. Suppose -84 = -5*k + m*b, 3*k = -0*k - q*b + 63. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**4\/4 - 5*h**3 + 11*h**2\/2 - 90*h + 128. Let c be t(-16). Is -32\/3 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*i + 5846 + 479*i - 138*i + 5839 - 11685.\nAnswer: 586*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.051 - 4.051. What is the nearest to -0.3 in 1, -137, 2, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 194 + 192 = -414*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 35*k - 53. Let q be l(19). Suppose -18264 = q*c - 16*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g = -4*d + 30*g + 48, -4*d + 24 = -g for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -355160\/7 - -50532. Let x = m - -206. What is w in 18\/7*w**2 - 10\/7*w**4 - 2\/7*w**5 + 0 - x*w**3 + 0*w = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -595*c + 136*c - 1025*c in the form p*c + s and give p.\nAnswer: -1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -468 - -475. Let c be (-16 - (-3 + 1))*-4. What is the highest common divisor of c and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378038 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 153\/4. Let s = 0.76 - 0.36. Put s, 3, -4, k in decreasing order.\nAnswer: 3, s, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 + 1260*x**2 - 79380*x = 0. What is x?\nAnswer: 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12870 by 6.\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -23. Find the first derivative of -15 - n*k + 5 + k wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.8621 to one decimal place.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -29*t**2 + 7339*t + 482. Determine a(253).\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**4\/4 - 5*k**3 + 8*k**2 + 6*k + 62. Suppose 3*m = m - 32. What is the units digit of p(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19)**(-28\/9)\/(d**(21\/4)*d*d*d*d**(-16)) assuming d is positive.\nAnswer: d**(-1849\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((sqrt(153) - (sqrt(153) - (sqrt(153) - (sqrt(153) + 2*sqrt(153) + sqrt(153)))))\/sqrt(9) - sqrt(17)) + sqrt(17) - (0 + sqrt(17))*-5) + -5).\nAnswer: -15 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -31.6. Which is the nearest to 1\/3? (a) 3 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 42. Suppose j*a + 24 = 4*i, -a - 5 = -4*i + 3. Sort -1, i, 4 in descending order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 169*q**3 - 10*q**2 - 6*q + 144. Let v(h) = 172*h**3 - 8*h**2 - 5*h + 143. Let n(r) = 5*m(r) - 6*v(r). Differentiate n(z) with respect to z.\nAnswer: -561*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -878412, -878410, -878406, -878400, -878392?\n\"Answer: m**2 - m - 878412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (1 + -448)*3\/(-9). Let n(h) = a - 149 - 3*h + h**2 - 2*h. Suppose -i = 2*l, i = -2*l + 7*l + 14. Give n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10941000 to the nearest one hundred thousand.\nAnswer: 10900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(6\/(-36)). Suppose 0 = -2*q - 4*g - 50, -q + h*q + 4*g + 71 = 0. Let z = -21 - q. Solve z = 4*v + 3*m + 4, 2*v - 5*v - 4*m - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u**5 + 8061*u**4 + 30036*u**3 - 16077*u**2 - 30048*u + 8016 = 0. What is u?\nAnswer: -668, -4, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*i - 89*i + 106*i + 110*i.\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 31*m = 35*m - 17, 0 = -u - 2*m + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 3289?\nAnswer: 13156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 + 320*r**4 + 3836*r**3 - 158048*r**2 - 2114112*r = 0 for r.\nAnswer: -44, -13, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 169, 0, -3, -2 in descending order.\nAnswer: 169, 6, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15143533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (12 + -11 + -13 - 6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10698.9 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 4. Let w be x(0). Is w\/(-18) + (-436)\/(-18) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 * 0.2\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 2. Give l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123604, 249176, 374748, 500320?\nAnswer: 625892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*r + 6, -4*n - 4 = -r + n. Let h(f) = -7*f**3 - 2*f**2 + 1. Let y be h(r). Solve y = -2*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38278, -77582, -116886, -156190, -195494?\n\"Answer: -39304*u + 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1485 and -4\/7.\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r - 20. What is l(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 291*w**2 - 17468*w + 478. Calculate c(60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*v - 2. Let a(f) = f + 0*f - 1 + 6 + 4 + f**2. Let q be a(v). What is the highest common factor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202211112021 (base 3) to base 13.\nAnswer: -11486b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3))**27\/(n*n*n*n\/n**(2\/5))**(-29))**9 assuming n is positive.\nAnswer: n**(9558\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -0.62987921.\nAnswer: -8.62987921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21854, 21809, 21764?\nAnswer: 21719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 1900 = 2676. Does 44 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**3 + 23*t**2 + 14*t - 36. Let j(y) = -7*y**3 - 24*y**2 - 17*y + 38. Let u(m) = 5*j(m) + 6*q(m). Give u(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g**3 - 8*g**2 + 2*g + 2*g**2 - 8*g**3. Let b(z) = 9*z**3 - 13*z**2 + 5*z. Let m(s) = 2*b(s) - 5*c(s). What is the third derivative of m(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1137*u - 432*u - 690*u - 493*u - u + 4*u - u + (-1 + 1 + 2*u)*(-3 - 5 + 6) as k*u + o and give k.\nAnswer: -2754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6030 and 47\/18369390?\nAnswer: 55108170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let q = 1.8 - 2. Let s = -164\/7 + 23. What is the nearest to q in o, s, 5\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -19.9. Let w = 0.1844598 + 16.8154852. Let o = w + y. What is o rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54633, -218658, -492075, -874884, -1367085, -1968678, -2679663?\nAnswer: -3500040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, 5, 3, 9789 in increasing order.\nAnswer: 3, 5, 152, 9789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s + 1. Let u be j(0). Suppose f = 8 + u. Calculate the highest common factor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86246.48 centuries?\nAnswer: 103495776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i + 41. List the prime factors of p(-6).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/588)\/(4\/(-6)))\/((-810)\/(-2835))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**5 - 12*f**3 + 14*f**2 - 6.\nAnswer: 180*f**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -43 (b) 3 (c) 3\/4 (d) 22 (e) -17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - -3*sqrt(7)*-1)*2)**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 66613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 3*d + 20*d**2 - 27*d**2. Let n(i) = 8*i**2 + 7*i - 14. Let g(z) = 2*z**2 + 2*z - 4. Let x(y) = 21*g(y) - 6*n(y). Determine x(q(w)).\nAnswer: -294*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -298, -316, -298, -226, -82, 152?\n\"Answer: 3*c**3 - 39*c - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -885163.\nAnswer: 1770326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20020102202012 (base 3) to base 5\nAnswer: 1322042213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 213694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 700 and 78?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - (-96)\/40. Find the third derivative of -f**2 + 2 + f**6 + 7*f**6 - t wrt f.\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965 is divided by 85?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 5*o - 4. Let s be c(5). Let a = -10 + 10. Is a >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 3 = -7 + 12, 4*o - 5*y = -7 - 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0*z - 3 + z**2 - 2*z + 12*z**3 + 6. Let t be k(2). What is the greatest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 - -20.\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 168 = -3*t. Let r = t + 85. What is the remainder when r is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -16. Suppose -2*z - 1949 = -3*i - 3*z, -2598 = -4*i - b*z. What is i rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 150, -219286 in ascending order.\nAnswer: -219286, 0, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -280193*d*p + 853582*d - p with respect to p.\nAnswer: -280193*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 + 519*u - 14098. What is x(139)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -17*p**2 + 15*p - 18*p**2 + 23 + 36*p**2. Let z be f(-13). Is 13 a factor of (-16)\/((-148)\/(-52) + z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 j, 1 g, and 1 h when four letters picked without replacement from {j: 7, f: 6, h: 3, b: 2, g: 1}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 155. Suppose -1859 = -l*d + 11471. Calculate the remainder when d is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*j + 4209 = 275*j. What is the remainder when j is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 3950?\nAnswer: -14\/1975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/12 and (-2093)\/(-168) - (6\/9)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 2 - 5 + 23.\nAnswer: -2*m + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h**(-2)))\/h)\/h*h*h**(-1\/5)*h**(1\/6)*h**(-1\/10))\/(((h*h**4)\/h*h**3*h)\/(h\/h**(-5)*h*h\/(h*h*h**(7\/2)*h)*h*h)) assuming h is positive.\nAnswer: h**(-139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose f*w + w - 24 = 0. Let p(c) = -c**3 + 5*c**2 + 8*c - 7. What is the units digit of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) - 34\/(-6). Suppose 0 = -g*y + y - 75. Let b be (3 - 1) + 35\/y. Which is greater: b or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 - 6*t - 50. Let h(x) = -x**2 - 2*x - 2. Determine f(r) - 4*h(r).\nAnswer: -2*r**2 + 2*r - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from xkyxxkxykxkxkxkyxyx.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 11 + 23 = -2*v, -2*w = 5*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 327*h**3 + h**2 - 2. Let o be t(1). Suppose 4*d = i + 528 + o, -5*d + i = -1067. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*z - 0*z + 691996, -2076010 = 3*x - 5*z. Round x to the nearest 10000.\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 2150, 41, -1.\nAnswer: -14, -2, -1, 41, 2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 13. Solve 2*i + 2 = r*i - a, 0 = -5*i - 5*a - 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69a4 + 2?\nAnswer: -69a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -25. Let o = v + 18. Let r = 2 - 4. Which is the closest to r? (a) 2\/19 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -15) + 3 - -7 - -29 - (-1 - 7).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 11*d - 5. Suppose -3 + 33 = 3*i. What is the smallest common multiple of i and x(-12)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcpxxgggphhpxg. Give prob of picking 2 p and 1 c.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1360738 - 0.78.\nAnswer: 1360737.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*r = 37, 0 = -0*q + 4*q + 2*r - 106. Let j be 235\/q - 6\/15. Suppose 5*b + 3*c = 9, 2*b + c = -2*c + j. What is the biggest value in b, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o**(2\/17))\/((o\/((o\/(o\/((o\/((o*o\/o**(3\/11))\/o*o))\/o)))\/o)*o)\/(o**(3\/11)\/o)) assuming o is positive.\nAnswer: o**(-1372\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:02 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 369985 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9389401, 9389402, 9389403, 9389404, 9389405, 9389406?\n\"Answer: g + 9389400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 divided by 5?\nAnswer: -183\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*105\/1820*(236\/(-18))\/((-2)\/(-3)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c\/((c**(2\/13)*c*c)\/c))\/c*c*((c**(-1\/18)*c)\/c)\/c*c*(c*c**(1\/2)*c)\/(c*c**0*c))**(5\/4) assuming c is positive.\nAnswer: c**(335\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u - 17. Let a be v(12). Suppose 0 = 2*c - 7*c + a. What is the remainder when c is divided by (0 - 1 - -3) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245849116 take away 2833590?\nAnswer: -248682706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 4*q**3 + 4*q**2 - 2*q**2.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 82, 112, 120, 100, 46, -48?\n\"Answer: -t**3 - 2*t**2 + 59*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1670550 and -53\/2625.\nAnswer: 8352750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z**2 - 106*z + 113. Determine r(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73, -148, -223, -298?\n\"Answer: -75*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.0547 + -0.0547. What is the nearest to -0.06 in -1, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssrsr. What is prob of sequence rr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 2. Let b be ((-1)\/((-2)\/4))\/(118\/177). Suppose 28 = -4*h + 4*l, -22 = b*h - 4*l + 4. Give y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(117) + 4 + 1*sqrt(117)))**2 + ((sqrt(117) + 0)**2 - sqrt(13)) + (-4*sqrt(13)*3 - sqrt(13)) + 3.\nAnswer: 34*sqrt(13) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {i: 2, r: 1, h: 7}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 19\/223, -0.5, 3\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**3 - 10*u**2 + 10*u**2 - 34*u**3.\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/7)\/b*b**(-34) assuming b is positive.\nAnswer: b**(-241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 180998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from rlllrrrrrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 515038207 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21455a (base 15) to base 16\nAnswer: 182bd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -1 (b) -0.09 (c) 4\/7 (d) 0.08 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7814 is divided by 189?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76\/111 + 2\/111. Let v = 6.7 - 3.65. Let t = -0.05 + v. What is the nearest to 4 in 0.5, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/13 - 18112*x**2\/13 - 2760290*x - 20460973116\/13 = 0?\nAnswer: -6558, -1249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292 + 100 = 5*z + 9*i, -2*i + 83 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61620*a**3*r**3 - 361*a**3*r**2 + 54*a*r**2 - 10*r**3 + 3 wrt r?\nAnswer: 369720*a**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 - 595. What is the lowest common multiple of 24 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38\/187 - 10082\/53295. Let h = n - -4243\/2280. What is the common denominator of 5\/3*(-2394)\/(-700) + -4 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*a - 1680*a = 34250 for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*(sqrt(275) + sqrt(275) + -3 + sqrt(275)*1) + -2 + 5)*1 + 1)**2.\nAnswer: -450*sqrt(11) + 22300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 14*n - n**3 - 9*n**2 - 11*n to i*n + s*n**3 + y*n**2 + o and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 47, 40, 33, 26, 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416079*2.\nAnswer: 832158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*((t*t*t**(-2\/7))\/t)\/t*(t**5)**(-1\/4) assuming t is positive.\nAnswer: t**(69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -25 + 7 - (4\/(-1))\/1. Let d be 2\/(m\/(-16) + (-11)\/(-88)). Sort 1, 20, -5, d.\nAnswer: -5, 1, d, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6621, -6625, -6617, -6591, -6541, -6461, -6345?\n\"Answer: k**3 - 11*k - 6611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*q**3 - 137*q**3 + 86*q**3 + 115*q**3.\nAnswer: 133*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 0.4, 27\/2, -425?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.3. Let u = -13 - -12.6. Let m = -2\/7 - -15\/28. Which is the second biggest value? (a) u (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v + 79. Let o be r(19). Solve -o*f = -3*m + 9, 2*f + 4 = -4*m - 2*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*b + 15 = 0, -m + 4*b = -0*b - 19. Let v(x) = -2*x**2 - 5*x + 10*x - 28*x**m + 1 + 6*x**2. List the prime factors of v(-2).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 6*x**2 - 4*x + 6. Let b = -133 + 128. Determine r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**5 + 0*m**4 - 4\/3*m**3 + 0*m**2 + 7 + 0*m. What is the third derivative of o(z) wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 291124 or 291126?\nAnswer: 291124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6499 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a - 4*a)*(2*a - 2*a - 2*a**2) + 2*a - 2*a + 3*a**4 + (4 - 1 - 4)*(0*a**2 + a**4 + 0*a**2).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 924494.16 rounded to the nearest one thousand?\nAnswer: 924000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foc when three letters picked without replacement from oofoocooocrrcr.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 163021.98 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4\/84*-6*(-1)\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12 and 47\/333945.\nAnswer: 1335780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12152 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49067431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 35\/78?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -66. What is the closest to r in 0.8, 2, 0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*x - 2568 + 2568)*(2*x - 2*x - x + 4*x - 1 + 1 + (-6 + 4 + 0)*(2*x - 2*x + x) + (-4 + 2 + 1)*(2 - 2 - 2*x)).\nAnswer: 135*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102020200220 - -2?\nAnswer: 102020200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i*i*i)\/(i*i**(-4\/7))*(i**(2\/49))**(-10) assuming i is positive.\nAnswer: i**(253\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, 5 in decreasing order.\nAnswer: 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128521906 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 7. Let i be n(7). Let b(k) = -9*k + 316. Let h be b(35). Solve 0 = -3*f - i - h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3848125*u**4 + 55074 wrt u?\nAnswer: -15392500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6 - (3 + -7)). Let p be (-3)\/6*(-8 + r). Suppose p*l = -0 - 27. What is the third smallest value in -4, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 minus -578810915?\nAnswer: 578811509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4 = 0, 2*g = y - 15 + 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 434040\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110633827?\nAnswer: 19, 107, 54419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 8*l**2 + 5*l + 7. Let i be p(7). Let a = 11 + i. Suppose -7 = -w + 2*q + 1, -w - a*q = -26. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1848 and 336.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -10.3716?\nAnswer: 1.3716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18858 and -10567.\nAnswer: 199272486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904316.\nAnswer: 2, 67, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - 361 + 262 + 3*l to the form b + u*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*s - 2*v + 2, -5*v = -2*s + 40. What is the lowest common multiple of s and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22715767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 20*o**2 - 37*o - 320. Let l(z) = 29*z**2 - 53*z - 479. Let r(x) = 10*l(x) - 14*u(x). Factor r(s).\nAnswer: 2*(s + 5)*(5*s - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(4\/2))\/((-567741)\/(-756988))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**2. Suppose 0 = -5*y + 10. Let g(k) = y*k**2 - 11*k**2 + 5*k**2. Determine g(u(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*c - c. Let m be 0\/(-2 + c + 0). What is the nearest to m in 1\/3, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1.3.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let v(j) = 9489*j + 29. Let g(r) = v(r) - 5*z(r). Let w be g(4). What is w rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 5*x - 75 = 0, r = -3*x - 11. Let b(h) = 6*h**2 - 7*h + 4. Let o be b(2). Let s = o + r. Round s to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -266 in -5, 2\/9, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 5*d + 195 = 0, -55 = n + d - 51 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3 (c) 0.0581\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = r + 4382, -15*h + 10*h + 2*r - 7307 = 0. Let c = h - -1463. Find a such that 12\/5*a**4 - 4\/5*a**5 - 12\/5*a**c - 4\/5*a**3 + 8\/5*a + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = 0. Suppose a = -y + 2 - 4. Let n be 1\/(y - (-14)\/6). Solve 3*s - 2*s - n = 4*w, -18 = -w + 4*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 - -310. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*l - 3*r + 21 = 211*l, -2*l + 5022*r - 5017*r = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, h: 5}. What is prob of picking 3 d?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9706021*s**3 + 9706019*s**3 - 29118060*s**3 + 9706011*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 3*l + 14. Give t(7).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 38, 0, 3, 4 in descending order.\nAnswer: 38, 4, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42933813*k**4 - 2*k**3 + 2*k - 345403472?\nAnswer: 171735252*k**3 - 6*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82967936 divided by -32.\nAnswer: -2592748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660891 is divided by 1992.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2173*z - 4583*z - 1529307 = -143*z - 596874 for z.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 52*f**5 - 356*f**4 + 516*f**3 - 172*f**2 - 40*f = 0.\nAnswer: -2\/13, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9 = -6. Find the third derivative of 50*p**d + 16*p**2 + 0*p**4 - p**4 + 2*p**4 - 12*p**3 wrt p.\nAnswer: 24*p + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -3*m**2\/2 + 2*m - 6. Suppose -o = -2 - 2. What is j(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -265?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**11*j*j*j))\/j)\/(j**(5\/8)\/j*j) assuming j is positive.\nAnswer: j**(-117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 82 + 70. Let c be 3\/345*(2 - l). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -34) + (10 - 5 - 8 - 26)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 10*l**2 + 24*l - 25. Let u be h(7). Are u and -22\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 7*d**2 + 10*d + 4. Is i(6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 12*r**2 + 83*r + 487. What is y(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f + 0*f + 5*f**2 + 24*f**2 + 14*f**2 + 110 - 4*f**2 wrt f?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011001 + 11?\nAnswer: 110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 6, t: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2 - 4. Suppose 3*s = k*f, 4*f - 2*s = 3*s + 2. Let q(n) = 6*n + 2. What are the prime factors of q(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 6*z - 9. Let s be f(7). Let g = s - -8. Let h = -5 - g. Solve -4*d + 4 = -h*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 6. Let y be m(8). Suppose y*g - 4 - 18 = 0. What is the highest common factor of 77 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 429011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 + 370739 + -3 + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-66)\/32 + 2). Suppose -19 = 3*g - 5*z - 51, g = -5*z - j. Let h(i) = -i**3 + 5*i**2 - 3*i + 3. Calculate h(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22\/5 + 56\/15. Calculate the common denominator of (2 - 60)*2\/8 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*-9)\/3)\/(16*(-37)\/(-2960)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.5 (c) -4 (d) 4\/23 (e) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in 19, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29\/50 - -2\/25. Let n = 19999\/8 - 2500. What is the smallest value in 4, u, 0, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)*(d*d\/(d*d\/((((d*d\/(d\/d**(-1\/16)))\/d)\/d)\/d*d))*d)\/d*d*(d\/d**(5\/6))**22 assuming d is positive.\nAnswer: d**(-499\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 839 - 317. Suppose i - l = 7*i. Which is smaller: -88 or i?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**2 - 19*l**2 - 15*l**3 - 23*l**3.\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.35 (b) -0.5 (c) 1627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/7 + 3100*j\/7 - 15550\/7 = 0.\nAnswer: -1555, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Suppose 0 = -2*y - 0 + 4. Find the second derivative of y*c**5 - m*c**5 + c**5 - 2*c wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-43.6.\nAnswer: 3.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/684)\/(6\/8). Let w = z - -176\/285. Suppose i = 2*i. Is w less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 25. Suppose p - 22 = -26. Let w = t + p. Solve -5*l + 24 = 2*r + 2*r, 0 = 2*r - w*l + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*(sqrt(605) + (sqrt(605) - (3 + sqrt(605)*2)) - sqrt(605)))**2*-2 + (-3*(sqrt(605) + -2))**2 + 1*sqrt(605)*-3).\nAnswer: -1122*sqrt(5) + 8506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n - 1. Let m(y) = -6 - y**3 + 2 + 4. Let q be m(1). What is z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26101\/11 - -2368. What is the common denominator of i and -54\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - -2.121160124\nAnswer: 2.031160124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -11200?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:40 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3 - 0. Suppose -2*l = 4*n - b*n - 14, -2*n + 31 = 3*l. Suppose 2*i + 2*i - n = 0. Let p(a) = -a - 3. Determine p(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187433699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 3*s**2 - 2*s + 1. Suppose 4*f = p + 6, 2 = 3*p - f - 2. Let h(d) = -d**2 + 4*d - 2. Let n be h(p). Give c(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 5*x**2 + 4*x - 10. Let p be f(-6). Suppose -4*q + 510 = -2*o, -5*q - 2*o + 372 = -p*q. What is the lowest common multiple of 20 and q?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 1, k: 2, x: 3, l: 7, t: 4}. What is prob of sequence txx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sebe when four letters picked without replacement from ebesb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3*g - 1\/2*g**2 + 1\/3*g**3 - 3. Calculate l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 10:23 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202540 by 5.\nAnswer: -40508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30122341 (base 5) to base 16\nAnswer: -3a5f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -669 + 681. What is the remainder when 561 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-2*-3.\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 + 6*c**3 + 4 - 19*c**3 - 4*c + 12*c**3. What is v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 10, 5*b + 3*q + 531 = 2*b. Let v = b - -172. Solve 2*z + 4 = -v*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/2))\/u)**(-5\/2)\/(u**1*u*u*u\/(u\/u**(1\/2))*u) assuming u is positive.\nAnswer: u**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 2*o + 1. Let u(w) = w**3 + 7*w**2 + 2*w + 9. Let i be u(-7). Let m be ((-9)\/27)\/(i\/45). What is l(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221494 (base 11) to base 6\nAnswer: 11323354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 2.7. What is the biggest value in g, 1\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299 - 188. Suppose 0 = -0*g - 2*g + k + s, -169 = -3*g - k. What is the remainder when 221 is divided by g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185290964*g**3 + 91138*g - 429.\nAnswer: 1111745784*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {r: 3, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 91?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 666.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -304 + 731. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -31 (b) 8 (c) -2\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 3 - (-37 + 36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 15\/1396 (b) -1 (c) 0.5 (d) 0.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -59. Which is the fourth smallest value? (a) -0.05 (b) 4 (c) 2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + b - 15. What is the remainder when d(6) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*s = -3*s - 8, -3*s + 3 = 5*w. Let c be (-2)\/((1 - 4)\/w). Let d = c - -6. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 18*w + 8. Determine k(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-440)\/550)\/(2\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + q + 13*q**3 - 3*q**4 + 2*q**4 - 2 - 14*q**3 to d*q**2 + h*q + b + s*q**3 + c*q**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 2 in descending order.\nAnswer: 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.0845, 2\/11, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(63)*4)\/sqrt(9) + sqrt(7))**2.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8700 - -9732. Calculate the highest common divisor of o and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2829\/207 + (-20)\/(-6) + -36)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c. Let j be l(-1). Let b be (1\/j*-2)\/(-2). Solve 2*f - f - b = -3*d, -27 = -d + 5*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 84485*p - 51 = 84489*p, -33 = i + 2*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365 divided by 34.\nAnswer: 365\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -57\/5 - 16\/5*v + 1\/5*v**2 = 0.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174.84 rounded to the nearest ten?\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*m = 404*m + 3016580. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + g**2 + g - 1. Let u be h(1). Let y be (-13)\/(-11) + (-2)\/11. Let m(r) = -r**2 - r - 3. Let f(l) = l**2 - l. Calculate u*m(z) + y*f(z).\nAnswer: 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, -32, -2, 278 in decreasing order.\nAnswer: 278, 197, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188.23 + -2329.23. Which is greater: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 621258*b*w**3 + 2*b*w**2 - 29*b*w - 848*b - 29*w**3 - 94 wrt w.\nAnswer: 3727548*b*w + 4*b - 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 7760.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447.4097m to nanometers.\nAnswer: 447409700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - 0.1. Let o = v + 1.5. What is the third biggest value in 5, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 28*n**2 + 55*n + 80. Calculate d(30).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19799363 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8873, 17964, 27069, 36194, 45345, 54528, 63749, 73014?\n\"Answer: s**3 + s**2 + 9081*s - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -852 divided by -2?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 30*q**2 + 16*q - 169. Determine u(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.01 - -26.79. Let i = z - -0.2. Let v = i - 29.1. Which is smaller: 1.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1507010, 3014010, 4521010, 6028010?\nAnswer: 7535010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-95)*(-105)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 539*r**2 + 39347*r - 7. Determine z(-73).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 4*c**2 + 478*c - 460. Calculate v(-17).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 902, -2, 4, 6867.\nAnswer: -2, 4, 902, 6867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9112*d**2 - d + 52928?\nAnswer: 18224*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 7*d**2 + 3*d**2 - 3*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2855, -2851, -2847, -2843?\nAnswer: -2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2.5. Suppose -10 = 6*w - w. Let g = 0 + w. Put h, g, -3 in ascending order.\nAnswer: -3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 3, 0.3, -5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {z: 3, p: 11, v: 1, e: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -172, -404, -740, -1186, -1748, -2432, -3244?\n\"Answer: -l**3 - 43*l**2 + 2*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, q: 1, c: 2, z: 3, d: 6}. Give prob of picking 1 q and 1 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/10 + 10\/(-25). Calculate the highest common divisor of a and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59632418 rounded to four decimal places?\nAnswer: -0.5963","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 9*o - 10. Let q be ((-5)\/2)\/((-3)\/(-6)). Let w be 6\/1*(6 + q). Let h(p) = -p**2 + 8*p - 9. Let x = 1856 + -1863. Give w*i(y) + x*h(y).\nAnswer: y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzzssszezhzesoz. What is prob of sequence soh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 108*q - 12876. What is w(110)?\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38029.\nAnswer: 17, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/10)\/(2\/(-8) - -1). Let s be (-21)\/9 + f + (-7)\/(-21). Solve -u + 1 = 4*u + a, -u - 5*a - 19 = s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.156566km?\nAnswer: 7156.566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 21 = -25. Let f be 1*t\/(-4)*(-32)\/24. What is the biggest value in 5, -4, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -428*y - 378. Let g be o(-14). Calculate the greatest common factor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 133\/(-147) - 4\/42. Does 17 divide l + (40\/(-12))\/(3\/(-342))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184926 and 447?\nAnswer: 27553974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(133))\/sqrt(7) + 1)**2 + 0.\nAnswer: -4*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81435264?\nAnswer: 2, 3, 31, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005527 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -490220*g*o**3*q - g*o**2 + 9*g*o - 3*g - 4*o**3*q + o**3 - 34*o**2 wrt q.\nAnswer: -490220*g*o**3 - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (1*sqrt(171))\/sqrt(9))**2 + sqrt(19) - sqrt(912)\/sqrt(3)) + sqrt(1539)*2*-5.\nAnswer: -93*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 4*w, 20 = q + 2*w + 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (1 + 0 - (-1 + 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s - 8*s**3 - 5*s + 16*s**3 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/20 - -1 - (-47)\/70.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/18)\/(5\/(-30))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 9*j**2 + 2*j - 4*j - 104*j**2.\nAnswer: -126*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2239.38 to the nearest integer.\nAnswer: -2239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 5*k - 1. Let z be x(-4). Suppose 3*m = 2*n - 17, -n + 4 = 2*m + 6. Solve 3 = -n*a - 2*l - 5, -2*a + z*l + 4 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 3*v - 2. Let i be m(4). Let d = 161 + -155. Calculate the greatest common divisor of i and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 4, b: 1, m: 2, i: 1, t: 2}. What is prob of sequence moib?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2. Let a(m) = 63*m**2 + 60*m - 8. Let d(u) = 140*u**2 + 119*u - 18. Let w(f) = -9*a(f) + 4*d(f). What is h(w(x))?\nAnswer: 49*x**4 + 896*x**3 + 4096*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1664874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y + 2*c + 8, -2*c - 20 = 5*y. Let b = 37 - 38. What is the units digit of (-2)\/(-4) + b\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Expand 34*o**3 - 132*o**3 - 24*o**3 + (-o - 5*o + 4*o)*(o**2 - o**2 + 2*o**2) + 4*o**3 + 2*o**3 + 0*o**3.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:56 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 1. Let p be q(1). Suppose 0 = i - p*h - 10, -i = 3*i - 2*h - 22. Let y(s) = 0 + 6*s - 2 - i*s - 3*s. Determine y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**3*x**3 + 22*u**3 + 280*u**2*x**4 - 199*u*x**2 wrt x.\nAnswer: -6*u**3 + 6720*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-14))\/(330\/(-1595)) + (-9)\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91304368 - 0.22.\nAnswer: 91304367.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/((-2 + 1)*1). Suppose 52 - v = 3*w. What is the second derivative of -16*z**2 + 0*z + 39*z**2 + w*z - 9*z**2 wrt z?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4 + q + 0*q**2 + q**2 + 0*q**2. Determine g(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l + 4. What is the tens digit of p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s - 4 - s)*(-2*s + 7*s + 0*s).\nAnswer: -25*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1280407.114 to the nearest 100.\nAnswer: 1280400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x - 72057063*x**2 + 72057061*x**2 + 3*x.\nAnswer: -2*x**2 - 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.300417 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.4 - 4.6. Let n = -31.1 - m. Sort 5, n, -5 in decreasing order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/21*(-4)\/(-10). Which is the nearest to -0.2? (a) -89 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 3*s**2 - 14*s - 109. Let q(f) = f**3 + f**2 + 11*f + 109. Let k(a) = -5*q(a) - 4*y(a). What is the second derivative of k(t) wrt t?\nAnswer: -54*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 761, 954, 1147, 1340, 1533?\n\"Answer: 193*j + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 2. Let u(c) = -c**2 + 1. Let y(r) = -420*r - 1682. Let s be y(-4). Determine s*z(v) - 4*u(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 4 = 19*w - 23*w, 29*g - 112 = 5*g - 2*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c - 53. Suppose 5*m - 1386*q + 1384*q - 150 = 0, q = -4*m + 133. Suppose 2*x - 4*x = -4*i - m, -c = -3*x + 5*i. Are 27 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 - 3*i + 2. Let r be a(-2). Let t be (-3)\/18 + (-38)\/r. What is the derivative of t*c - 11*c - 1 - 6 wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -48*y + 3. Let t(q) = -8*q**2. Determine t(g(u)).\nAnswer: -18432*u**2 + 2304*u - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((12 - 5) + -2) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + x**2 + 0*x**2 - 4*x + 0*x**2 in the form z*x**2 + s*x + r and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101001110000010010 (base 2) to base 12.\nAnswer: 3a2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 - (-6 + 3)) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*y + 4209 = -167*y + 115*y for y.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1. Let z(j) = 35*j - 7*j + 1 - 3 - 10. Let w(b) = 12*m(b) + z(b). Let y(v) = 3*v. Determine w(y(f)).\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 12*g. Let i(p) = 3*p**2 - 90*p + 10. Let j(x) = x**2 - 18*x + 2. Let d(h) = -i(h) + 5*j(h). Determine d(f(s)).\nAnswer: 18*s**4 - 144*s**3 + 288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. What is m in 5*m + b*m - 6*m + 4*m**2 = 0?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348641 is divided by 174286?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 29. Let n(v) = -v + 15. Let l be n(i). Suppose -2*m - 3 = -l*m + 3*b, 5*b = 5. Solve 2*w - 8 = m*s, 4*w - 7 - 1 = 2*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 4:16 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 29*j + 27. Let h(n) = -n**2 - 14*n + 13. Let q(c) = -3*d(c) + 5*h(c). Let o be q(-18). Solve -o*u + 11 - 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2309, 5150, 7981, 10802, 13613, 16414?\nAnswer: 19205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2385*d - 517032 + 517032)*(-2 + 2 - 3*d) to the form q*d + y + a*d**2 and give a.\nAnswer: -7155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44137\/6 - -7376. Find the common denominator of a and 11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7123 and -7124 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900 + 443 - 4*x + 457 + 7*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-15)\/(-60))\/(1\/(-32)*5)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -14*l**2 - 49*l - 27. Let o(b) = -26*b**2 - 96*b - 51. Let d(f) = -7*c(f) + 4*o(f). Let p(u) = u**2 + 8*u + 3. Give 2*d(n) + 11*p(n).\nAnswer: -n**2 + 6*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*d**4*p**2 + 8*d**3*p**2 + 2*d**2*p**2 + 1958*p**2 wrt d?\nAnswer: -2064*d*p**2 + 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 706669, 1413361, 2120053, 2826745?\n\"Answer: 706692*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j - 13*j + 2*j to h*j + a and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35123\/113878 - -1\/1174. What is the common denominator of -65\/57 and m?\nAnswer: 5529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.188 and 9.1?\nAnswer: 1.7108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*n - 2, 0 = 3*n + 2*j - 5*j + 9. Suppose 7*b - 2*b + 25 = 0, 5*w - 25 = 2*b. Solve -5*q - 2 = -3*d, -n*d - 4 = -w*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-29 - -56) + 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/976 and 93\/7930?\nAnswer: 63440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 + 8*r**2 + 64*r + 513. Is j(-9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 + 132. Suppose q*j = -5*n + 1159, -j - 61 = 2*n - 525. What are the prime factors of n?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*m = -12, -3*i + 5*i = -3*m - 8. Put 13, -2, i in increasing order.\nAnswer: -2, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + d + 8)*((5 + 7 + 3)*((0 - 1 + 3)*(6 + 0 - 4) - 4 + 1 + 1) + 2 - 3 + 2) to a + v*d and give a.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 159, 198, 235, 270?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 6.852462.\nAnswer: -75.377082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 27*m = 104, 10753*b - 3*m - 2 = 10758*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 869 and 2040588?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6322008*y**3 + 6463011.\nAnswer: -18966024*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 8 + 52. Let o be (-1)\/((-272)\/90 + -1 + 4). Calculate the greatest common divisor of d and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*l**3 + 17 - 17.\nAnswer: 231*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581 divided by -4.\nAnswer: -1581\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 220?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 554 - 512. Which is the nearest to -2\/3? (a) v (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/23? (a) -0.4 (b) 0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 6) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1926 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -1918, -6582, -15660, -30622, -52938?\nAnswer: -84078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*k - 1918 - 1681 + 3354 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.202 and -8.\nAnswer: -7.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/f**(-1))\/f)\/f**2)\/((f*f*f*f**(1\/12)\/f*f)\/f*f\/f**(-1\/7))*f**(-4)*(f**(-6)\/f)\/f*f*f**(4\/5)*f*(f*f\/f**(-4))\/f assuming f is positive.\nAnswer: f**(-2699\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15))\/(8\/(-36))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 22 + 56*c - 39*c - 16*c.\nAnswer: c + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*z = z + 44, 5 = -3*q - z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*q**3 + 786*q**2 wrt q.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.073 + -23.927. Let n = k - -31. Let y = n + -6.9. Which is the closest to y? (a) 0.4 (b) -2 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 20, -11 in descending order.\nAnswer: 20, 4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1185, 1190, 1199, 1212, 1229, 1250?\n\"Answer: 2*c**2 - c + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456556 >= 3456558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 + (0 - -3) - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 20*b**6\/3 - b**5\/5 - 97*b**3\/3 - 257. Find the third derivative of j(d) wrt d.\nAnswer: 2400*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 5*x - 1404 = -10*d, 5*d = 5*x + 2350. Let s = d + -327. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 8. Let h be z(8). Suppose -p - 3*p - 8 = h. Which is smaller: -2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -48*z - 2262. What is a(-47)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3389 divided by -58?\nAnswer: 3389\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683 - 128 = 185*f. What is the highest common factor of 144 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 + -498. Let v = g - -287. Let x = 1289\/13 + -99. Sort x, -0.2, v in ascending order.\nAnswer: -0.2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8180*w**2*y**2 - 2433*w**2*y + 2*y**4 - y wrt y.\nAnswer: 16360*w**2 + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -1. List the prime factors of 1*(3 + k) + 3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7 - 2 = 3*v, -5*f = -v + 9. Let w = v - -54. Let z = w + -16. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143611338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.5 and 10915\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60808 and 44.\nAnswer: 60808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*2 + 4)*4)**2*3.\nAnswer: 768*sqrt(7) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 4. Let y be c(7). Suppose -y*f - f = 0. Solve -2*x = -f*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*s - 21, -3*c - 3*s = -2*s - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b4349 (base 12) in base 7?\nAnswer: -43416663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:17 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-6)\/63*847\/1210 + (-327)\/(-780)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-899)\/(-319) - -2*2\/22. Let s be (2 - -4) + (j - 5). Suppose -s + 28 = 4*y. Solve 2*a + 2*c - y = -0*c, 9 = -5*a + 3*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -2*b. Let j(d) = -d. Let v(t) be the third derivative of t**4\/12 - 7*t**2 + 4. Let p(o) = b*v(o) - 3*j(o). Let g(q) = -9*q. Calculate g(p(y)).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2005*h - 1193*h = 6496 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 248764 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-5 - 21 - 12) + (0 - 10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 2*c - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + a + 17, -5*a = 4*v - 0*a + 19. Let t(x) = -x - 13. Give t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - g**3 - 42.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 26 - 1. Suppose -2*b - 378 = -4*j + 80, 0 = -5*b - v. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 + 161\/2. Let t be ((-3)\/(-909))\/((-1)\/(-514)). Let j = t - 3\/101. What is the nearest to -1\/4 in -0.5, x, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 23. Let c(x) = x**2 - 13*x - 20. Let p be c(15). Let z be o(p). Solve 0 = -4*n + 7*y - 2*y - 22, z*y - 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7098)\/(-676)*(-15)\/18*((-4)\/(-5) - 1). Solve 25\/4*b**2 + r*b**4 - 19\/4*b**3 + 1 - 4*b - 1\/4*b**5 = 0 for b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 - 5 = 0. Let f(p) = -p + 2. Let b(x) = -4*x + 9. Let g(n) = -2*b(n) + 9*f(n). Is g(z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - x**2 + 20. Determine w(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 789518273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p - 3*w + 25, 3*p - 2*w - 6 = 0. Suppose -q = p*q - k - 277, -4*k - 173 = -3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 153.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 125*u - 1. Suppose 43*a + 180 = 23*a + 30*a. What is the remainder when x(1) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2967.8037 and 0.286489.\nAnswer: -2967.517211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*d = -449*d. Suppose -12 = 3*t - 6*t. Suppose d = t*n + 3*i - 87, -3*n + 8*n - i = 85. Calculate the highest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 11. Determine z(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8460 and -37\/16902?\nAnswer: 7943940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {e: 1, g: 1, u: 2, v: 8, x: 2, y: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.018?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/(-1) - 208*(-1)\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m**2 - 10*m + 26. Calculate the remainder when q(2) is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**7\/735 - j**6\/210 + j**5\/70 + j**4\/21 - 4*j**3\/21 - 2*j**2. Determine w so that b(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -27. Is 24 a factor of (-16)\/(-5)*p*45\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 132462?\nAnswer: -132466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 352448, 704898, 1057348, 1409798?\n\"Answer: 352450*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 133 = 27. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*h - 80 - 72 = 377*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/21*2*(-1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*f - 2*f = 37, 5*h - 2*f - 131 = 0. Suppose 16 = -5*y + 4*o + 83, 2*y - o - h = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(((-4)\/(-24)*-9)\/9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431489 < 9431491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 712, 1758, 3212, 5068?\n\"Answer: -v**3 + 213*v**2 - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5286019\/6 - -878819. Let q be (-10)\/25 + (-21766)\/10. Let g = q - u. What is the common denominator of g and 107\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {z: 3, u: 1, s: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.87 - -55.63. Let i = -58 + y. Let n = 2.2 - -0.8. What is the third smallest value in i, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 68\/12) + 6904\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96042231.\nAnswer: 3, 17, 73, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0469 - -162.0531. Let o = x - 18.1. Let i = 144.0000007 - o. Round i to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 60*g + 1086. Calculate t(-22).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 38 = 7*k + 2*z, -4 = 4*z. Let d(r) = 12*r. Let v be d(1). What are the prime factors of k\/v*27\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -637, -735, -831, -925, -1017?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + j - 25. Let z(b) = 3*b + 145. Let v be z(-40). Suppose -40*h = -v*h. Calculate n(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 21*b**3 - 9*b**2 + 11. Let w be o(7). Suppose 13*j = -0*j + w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y**3 + 549*y**2 - 279*y - 4173. What is p(68)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 2\/9 (c) 1 (d) -1535\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*z + 20 = 0, 3*j + 4 = -5*z - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 - 3*g - 2. Let j be p(-6). Let m = j - 8. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + 7676 + 5 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3 + 0\/3). Suppose 0 = o*s + 2*s - 205. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -405\/2 - -196. Which is the closest to h? (a) 0 (b) 2\/3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 14*m**2 + 20*m + 12. Let d be h(-15). Let y = d - -65. Let o(k) = -3 - k + 0 - k**y + 6. What is o(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 0, 2\/803, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2. Let f(w) = 2*w**2 + 2 - 2 + w**2. What is f(n(u))?\nAnswer: 48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 226, 307, 362, 385, 370, 311?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.6 (b) 0.06 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -873568906 by -7.\nAnswer: 124795558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*d + 246 + 207 - 1368 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(270\/12)*510. Suppose -o - 5*x + 3*x = -n, 5*o = -4*x + 1724. Does 58 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-540)\/(-24))\/(189\/462)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100100 + -11111101010100?\nAnswer: -100001000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2536, 4, 0.\nAnswer: 0, 4, 2536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 3*t)*(-1 + 5 - 2) + 4*t - 2 + 2 + (-4 + 2 + 1)*(2*t + t - 2*t) + (4 - 1 + 0)*(3*t - 3*t + 2*t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31\/134 (b) 3\/4 (c) -128.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -2701?\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 27*v + 2. Let i be s(-27). Solve 5*x - 2*j + 7 = 24, i*j = -x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 352 = -6*m. Let s(g) = 41 + g - g**2 - m - 18 + 7*g. Calculate s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537708116?\nAnswer: 2, 11, 12220639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218\/55 - -48\/11. Let h be 2\/5*55\/(-88) + 326. Let y = h + -326. What is the second smallest value in y, -0.4, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x + 12 - x**2 + 51*x**3 + 26*x**3 - 3 wrt x?\nAnswer: 462*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 10) to base 11\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*y - 5*i, -18 = 2*y - i + 6*i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 6354\/4021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -12)*(0 - -3). Let s be (20\/6)\/(4\/(-3)). Which is the biggest value? (a) p (b) 0.2 (c) -2\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21781*i*l**3 - 285*i - 21244*l**3 - l**2 + 65*l wrt i.\nAnswer: 21781*l**3 - 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 158*r - 43*r + 28*r + 93*r to z + n*r and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p - 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a millennium in centuries?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12335 - -0.0868. What is k rounded to 3 decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/2415 and 86\/105777.\nAnswer: 528885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39394478, 78788953, 118183426, 157577897, 196972366, 236366833, 275761298?\n\"Answer: -f**2 + 39394478*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 8*u + 108. Let y(b) = -b**3 - 6*b**2 - b - 5. Calculate the remainder when y(-7) is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*45\/(-150).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 2*o - 16, s - 11 = 142*o - 146*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.129, 3\/8, -1\/4.\nAnswer: -1\/3, -1\/4, 0.129, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*j - 148 + 24 = 0, -293 = -2*c + j. Calculate the least common multiple of c and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*j + 14, -7 = 5*z + 3*j - 0*j. Is 1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3400 at least as big as -3400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 11. Let x = 8 + n. Let u be 7 - (-39 - 1)\/(-10). Solve u = x*w - 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1395197.1 to the nearest 1000.\nAnswer: 1395000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418582.\nAnswer: 2, 47, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1852, 3674, 5444, 7162, 8828, 10442, 12004?\n\"Answer: -26*v**2 + 1900*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = -29*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/12)\/((-203)\/(-29))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 + 252*j. Let h(u) = -2*u**2 - 64*u. Give -9*h(p) - 2*q(p).\nAnswer: 2*p**2 + 72*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/3)\/((-22)\/(-132)). Suppose 0 = -5*f + 4*m + p, f + 3*m + 12 = 2. Differentiate 8 + 2042*u - 2042*u - 13*u**f with respect to u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 19*b. Let j(c) be the second derivative of b*c**4 + 0 + 3\/20*c**5 - 1\/3*c**3 + 3*c + 0*c**2. What is the second derivative of j(k) wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 3 - 3)*(7*b**2 - b**2 + 2*b**2).\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 52*d + 181. Let s be a(-22). Sort s, 24, -1, 3 in descending order.\nAnswer: 24, s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 9*x - 8. Let j be r(-10). Let o = -2 + 4. Let f(q) = 0*q**2 - 3*q**o - q**2 + 3*q**j. Let h(c) = -c**2. Give h(f(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m + 69. Let g(x) = 8*x - 34. Let z(i) = 5*g(i) + 3*h(i). Let w(s) = s - 1. Let a(u) = 6*w(u) + z(u). Let o be a(4). Solve -4 = 7*l - o*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 80, 171, 332, 587, 960?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -411 or -30096\/73?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {t: 4, g: 3, b: 1, w: 1, v: 7, q: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 2. Let x = 11.1 + -11. Sort t, -2, x.\nAnswer: t, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1058 and 1971583?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-9)\/t)\/t*t)\/t)\/(t*t**(-35)*t))\/(t**(2\/13))**(2\/35) assuming t is positive.\nAnswer: t**(10006\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 9. Let k be u(-6). Suppose 2*y + 15 = -k*h - 2*h, 0 = -2*y + 3*h + 9. Differentiate y + 1 - 2*g**2 + 0 wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-52))\/(2\/(-4))*380\/57.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4896 (base 12) in base 2?\nAnswer: -1111111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 3)*(2*c + 0*c - c)*(-43 + 43 - 10*c - 126*c - 15*c - 11*c + (c + 2*c - 4*c)*(1 - 1 + 1)) to s + x*c + t*c**2 and give t.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-54)*-8)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 2, w: 1}. What is prob of picking 1 w and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 3\/4 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c2 + -32a29?\nAnswer: -3330b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(126)\/sqrt(3))\/sqrt(6) + 1 + 1*sqrt(7)*-2 + sqrt(7) + sqrt(42)\/(sqrt(36)\/sqrt(6)))**2*3.\nAnswer: 30*sqrt(7) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 28 - 50*o**2 + 14.\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from nqnrnnrrqqq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(6\/(-2)))\/1. Suppose -3*c + 4*b + 21 = -h*b, c = -3*b + 7. Suppose 96 = 5*m + 6. What is the remainder when m is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from sveevzhvzzph?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from eydjdgygk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + -2 + (7 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721292846 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10620 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 23470*h**2 - 3. Let c(n) = 2*n. What is v(c(g))?\nAnswer: 93880*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/90)\/((-2)\/5). Solve 1\/3 - 1\/6*d**3 - 1\/2*d**2 + 1\/6*d**4 + f*d = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jja when three letters picked without replacement from {j: 13, a: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011101001101111000 (base 2) to base 9.\nAnswer: 1630842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -16\/531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from xizul.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.382 and 1037.\nAnswer: 1039.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -45\/8 (b) 0 (c) -4 (d) -0.3 (e) 38 (f) 9 (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifiiiiiffiififi. What is prob of sequence if?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**3 - t**2 - t - 1. Let g be l(-1). Suppose 0 = 3*i - 0*i - 2*m + 2, g*m = 5*i + 10. Which is the second smallest value? (a) 1\/2 (b) 7\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 185*l**2 - 4020*l + 3196. What is a(160)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkkv when four letters picked without replacement from {k: 2, c: 4, q: 3, v: 6}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x + 123*x - 97 - 647 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from jjjxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, u: 2, s: 1, t: 1, k: 2}. What is prob of sequence kswt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by 6?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 5*a**2 + 2*a - 8. Let g be d(5). Suppose 0 = 4*b - b + 5*f - 25, 2*f + 6 = g*b. Solve -4*y = -3*i + b, -7*i + 3*i = -y + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.3 - -5.127. Let f = b - 72.827. Let h = -73.0063 - f. Round h to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64435 greater than -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -25. Suppose -o - 51 = -q. Let d be (-16)\/q + 46\/11. Solve -2 = -a - d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1415, -2802, -4189, -5576, -6963?\nAnswer: -8350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-18) + (2 - 1). Let n = 60.3326 - -0.0674. Let m = n - 60. Which is the nearest to -2\/7? (a) i (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 96\/2405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*j**3 - 7 + 17*j**3 + 31*j**3 + 5*j + (-2*j**2 - j**2 + 5*j**2)*(-2*j - 2*j + 6*j) - 12 - 3*j**3 + 12.\nAnswer: 3*j**3 + 5*j - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i - 2*i)*(-i + i + i**2) + 4*i**2 - 2*i**4 - 4*i**2 - 5*i**4 + 4*i**4 + 0*i**4 + (4*i - 4*i - 2*i**2)*(82*i - 82*i - 17*i**2).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 4*w**2)*(4 - 108773*w + 108791*w - 20).\nAnswer: 72*w**3 - 64*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -41819 and -22.\nAnswer: -41841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -58222 - 245?\nAnswer: -58467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 35. Solve -q**2 - 7*q**n + 2 - 5*q + 11*q**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3 - 2*b**2 + 12*b + 16.\nAnswer: 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41593781 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12845*w. Let z(o) = -241*o**2 - 5*o. Determine z(r(b)).\nAnswer: -39763560025*b**2 - 64225*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/5 - 3*d**3\/5 + 6*d**2 + 124*d\/5 + 24.\nAnswer: -(d - 6)*(d + 2)**2*(d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b - 10. Let l(q) = 7*q + 8. Let x(h) = 5*l(h) + 4*v(h). Let i(d) = 13*d. What is i(x(g))?\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -828bb (base 14) to base 6\nAnswer: -10424125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16175 + -16170. Solve -229 = -5*h - 214, 7 = 4*b + w*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m - 85*m - 112 = -4*a, -15*a + 47 = 3*m - 16*a for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-55)\/22)\/((-1)\/(-2)). Let t be (-4)\/(5\/n + -1). Is t\/(-11) - (-3225)\/11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3228\/(-120) - 306\/(-340)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9515*c - 9515*c + 14*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54224 is divided by 27038.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 2, p: 1, y: 5, i: 7, o: 1}. Give prob of picking 1 y and 1 i.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4685 + 4696. What is the closest to 0 in -0.2, 15, q, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 798?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9186428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from hhzhhzhzhzzzh?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/105*-5*1\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 216*b - 215*b - 2. Let c(j) = -j**3. Let v(y) = -27*y**3 + 200*y**2 + 103*y + 13. Let u(r) = b*v(r) - 22*c(r). Factor u(a).\nAnswer: -2*(a - 13)*(4*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u - 0*u - i, -5*u = i - 10. Suppose 0*z = u*p + 5*z - 87, 0 = -3*p - z + 124. Calculate the remainder when p is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Suppose 3*z + i - 6 = 0, 4*z + n - 16 = i. Suppose -5*d - 350 = -5*h, -z*h - h + 256 = 4*d. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {f: 4, a: 1, n: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, u: 3, h: 1, o: 5}. What is prob of picking 3 u and 1 t?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -65*l**2 - 4*l + 3. Let s(x) = 82*x**2 + 4*x - 3. Determine 6*n(d) + 5*s(d).\nAnswer: 20*d**2 - 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 96588 rounded to the nearest one hundred?\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**2 - 6712588*m - 33562840 = 0.\nAnswer: -1678142, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/42 - 3\/14. Let c(z) = -z**3 - z - 1. Let k be c(0). Are j and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -33) + (-1 - 16 - (-2 + 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -436 divided by 6\nAnswer: -218\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333.84039 rounded to the nearest 10?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 0*l + 14 = -4*l, -2*o - l = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -409.9375 - 0.0625. Let s = 410.542 + g. What is s rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide (-3 - 9)*((-1408)\/5 + (-126)\/315)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70989, 141993, 212993, 283983, 354957?\nAnswer: 425909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n + 1. Let o(l) = l**3 - 23*l**2 + 22*l + 11. Let m be o(22). What is the highest common divisor of m and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4 and 67\/7455.\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/9))\/h**(3\/5)*h\/((h*h**(-2\/13)*h*h)\/h*h)*h*h**(1\/9)\/h assuming h is positive.\nAnswer: h**(-716\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12. Let z = 15 + k. Is 44\/z - (-2)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -154. Let q = 42.0000048 - x. Round q to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*s**2 - 68*s**2 + 49*s**2 - 3*s + 3*s - 4*s**2 + (1 - 3 - 44*s + 46*s)*(4*s + 0*s + 4*s) - 1 + 1 + s**2 in the form a + u*s**2 + m*s and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v**3 + v**3 + v**3 + (4*v**3 + 0*v**3 - 3*v**3)*(-6 - 9 + 2))*(-182 + 94 + 26*v + 90) to h*v**3 + o + l*v + j*v**4 + q*v**2 and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*(sqrt(99) - -1*sqrt(99))*2)\/((sqrt(108)\/sqrt(4))\/sqrt(3) + (sqrt(252)\/sqrt(4))\/sqrt(7)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -15930000 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10*m + 10032 = -15*m, -2*c - 5*m + 10012 = 0. What are the prime factors of c?\nAnswer: 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11780316 * 0.2.\nAnswer: -2356063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p - 136*p = -5*u - 20, 0 = 3*u + 2*p + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377 - 0.049.\nAnswer: -377.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107142*m**2 - 25616*m**2 + 0*m + 0*m.\nAnswer: 81526*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3431 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/190*-171*(-1)\/(-3)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b - 3*h - 180 = 0, 0 = -5*h - 15. Let w = 77 + b. Solve w = -4*x - x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203, -410, -615, -818, -1019?\n\"Answer: s**2 - 210*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(180)\/sqrt(5) + sqrt(36) + sqrt(36)))\/sqrt(12) + 3 + sqrt(15)\/(-3*sqrt(5)).\nAnswer: 3 + 17*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 7. Let t be w(-9). Suppose 0 = d - 0 - t. Determine n, given that 2\/3 - 2\/3*n**d + 0*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 899634.\nAnswer: 55777308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6716311921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -405 - -399. Suppose 4*x - 2 = -t - 4, 0 = x + 1. Let m be t + 1 + (7 - 6). Which is the nearest to 2\/7? (a) -0.5 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/7 + 13868*n**3\/7 - 236336*n**2\/7 - 13868*n\/7 + 33762 = 0 for n.\nAnswer: -6951, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*c + 529*c - 35*c + 38*c**3 - 242*c.\nAnswer: 38*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 37*g - 41*g - 28, 2*g - 14 = -3*k. Suppose -k*p = -16 - 16. Solve 15 = -p*q + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -278*l + 2500. Calculate x(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*m + 1769*m - 606*m - 596*m + 16 - 16.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(sqrt(7) + sqrt(7)*2) + sqrt(7) + 1 + 3.\nAnswer: 9 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*k + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941204072.\nAnswer: 2, 117650509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = y, 4*t + 4 = y - 14. Let f(k) = 3*k - 22. Let b be f(9). Suppose -3*h + b*i = 12, -i + 11 = 5*h + i. Sort -5, t, h in descending order.\nAnswer: h, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137072 and 21790494?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7422.92779 to the nearest 100.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.874495nm?\nAnswer: 0.000874495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.04 (b) -0.7 (c) 3 (d) -1\/110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 10. Let n be q(1). Suppose 10 = -i + 4*p - 0*p, -i - n*p + 17 = 0. Solve -3*y = -a + 4 - 2, -i*a = -2*y - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = -4*u + 54, -5*m + 55 = 5*u. Suppose 0 = -3*h + 2*v + 5, -3*v - 3 = -h - 2*h. Solve 4*d = y + 5, 5*y + u + 12 = -h*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65)*1*6)\/(sqrt(180) - (-1*sqrt(180) - sqrt(180) - sqrt(180)) - sqrt(180))*-5.\nAnswer: -35*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-3) + 11)*(-2)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1284779 and 3587?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 5*i**2 - 5*i + 6. Let w(r) = 81 + 90 - 169 + r**2. Let p be w(2). Calculate the remainder when n(p) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 113478485 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.216575735 to 4 dps.\nAnswer: 0.2166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 + -3.9. Let r = -0.6 - j. Let p = -16411\/2 - -8205. Which is the third biggest value? (a) 0 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16*z\/z**(-4\/5))\/((z*z*z*(((z*(z**(1\/3)\/z)\/z*z)\/z)\/z)\/z)\/(z**(-7)\/z*z)) assuming z is positive.\nAnswer: z**(157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276127089 divided by 13148909.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -19. What is the biggest value in 0.03, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 520 and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x - 5 + 5.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let u = -4.3 + g. Which is the nearest to 2\/5? (a) 2\/11 (b) u (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 8:49 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2. Let x(k) = -35*k**2 - 159*k - 623. Determine x(j(o)).\nAnswer: -140*o**4 - 318*o**2 - 623","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1640641?\nAnswer: 1640645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*24\/(-30). Suppose -30 = -5*h + 2*f, -11 = -4*h - 5*f + 4*f. Solve -h = -4*g, g - 3 = 2*m - u*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 26*v**2 - 26*v + 27. Let f be l(-27). Solve 0 = -2*j + 7*j - 2*i - 15, 4*j + 5*i - 45 = f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1360 and -73\/408?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227757751 to the nearest integer?\nAnswer: 15092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(0*v - v + 0*v)*(-9 + 53 + 47 + (1 + 0 - 2)*(-2 + 5 - 1) - 4 + 2 - 1)*(-3 + v + 3).\nAnswer: 258*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*w**2 - 19*w**2 - 31*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-5 + 0 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from vbbo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630 by 7.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.6 and -11.9?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -724 - -724. Let h(b) be the third derivative of 3\/2*b**3 + 1\/4*b**4 + 14*b**2 + 0 - 1\/60*b**5 + f*b. Calculate h(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 37 = -4*k + 10, -k = 4*q - 9. What is u in q + 4*u + 1 + 0 + u**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -465*h**5 - 640*h.\nAnswer: -9300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 11*f**2 - 11*f + 6. Let i(l) = -l**3 + 6*l**2 - 6*l + 3. Let m(c) = 13*c + 180. Let y be m(-13). Calculate y*i(h) - 6*o(h).\nAnswer: h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41313 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48990 - 24129. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3947 is divided by 501.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from dvveeeveeevev.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 12) to base 15\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 7*r**2 - 1 + 1 + 4*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w. Let j(f) = -19*f**2 - 8. Let h(k) = k**2 + 2. Let p(l) = 2*h(l) + j(l). Calculate p(m(x)).\nAnswer: -68*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:25 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/273 - -80\/273. Let k(w) be the third derivative of w**6\/120 - 2*w**2. Let n be k(0). Which is smaller: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43421317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64250414.\nAnswer: 2, 31, 1036297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skk when three letters picked without replacement from {k: 2, c: 3, s: 10}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1344459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80850 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -700162\nAnswer: 1\/20593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1440*88\/(-11264))\/(((-3)\/(-20))\/(18\/15))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*d - 129 = -303*d. Solve d*y - 48*y = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-63))\/(464\/(-3132))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/42 - (-2 + (-2136)\/7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, h: 7}. Give prob of picking 4 h.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -94*g + 568. Which is the closest to 0.2? (a) g (b) 83 (c) -0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajajajjjzzza. What is prob of picking 1 a and 3 z?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 231\/154*54452\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 274*d**2 - 196*d**2 - 79*d**2 + 2*d.\nAnswer: -d**2 + 2*d - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -47*h. Let v(z) = -2*z**2. What is v(d(u))?\nAnswer: -4418*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(44)*3)\/(sqrt(4) - sqrt(256)*-4).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 + 175*g - 170 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -12, -477418 in descending order.\nAnswer: -0.4, -12, -477418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1354 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -141244?\nAnswer: 141248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 7*j**2 - j - 3. Let q be x(-7). Suppose 3*p + d = 6*d + 7, -2*p - q*d + 12 = 0. Solve 0 = -p*h, 3*h - 10 = -5*c + h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 - 4*c + 4. What are the prime factors of n(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222210 + -21202001?\nAnswer: -22201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4250 and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0*s + 0*s + (-718 - 565 + 1047)*(4*s + 6*s - 4*s) - 2*s + 4*s + 0*s + (-4 - 2*s + 4)*(1 - 2 - 1) + 3*s + 0*s - s - s - 2*s + s - s - s + 3*s.\nAnswer: -1411*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2591 = -4*g, 4*g + 143 = -2*w - 891. What is w rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-35)*5\/1*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -0.05 (b) 0.4 (c) -1\/10 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*((r*r**(-28))\/r)\/r)\/r**(3\/11))\/(r\/(r*((r**(3\/2)\/r)\/r*r)\/r)*r**(2\/23)))**(-41) assuming r is positive.\nAnswer: r**(598723\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 28 in ascending order.\nAnswer: -3, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b73a (base 13) in base 6?\nAnswer: -3334420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27775 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2 - 3*n + 2*n + 1. Let v(r) = -7*r - 6. Let p(w) = 6*w + 5. Let j(s) = 4*p(s) + 3*v(s). Let d(g) = 2*j(g) + 7*y(g). Differentiate d(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4*728575\/(-2300) - 4\/46 is divided by 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.053 + -23.947. Let j = s + 24. Let y = 0.341 - 0.041. Sort y, -9, j in descending order.\nAnswer: y, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -128, -185, -262?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, v: 3, i: 2, b: 5, h: 3, a: 1}. Give prob of sequence ah.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.07 (c) -2\/13 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*i**2 + 986*i - 768 = 0. Calculate i.\nAnswer: 1, 384\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 7, d: 2}. What is prob of sequence kd?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 415, 847, 1279, 1711, 2143, 2575?\n\"Answer: 432*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j + 0*j)*(3*j - j + 0*j) + 0*j**2 + 3*j**2 - j**2 + 2*j**2 + 1 - 1 + 2*j**2 + 2*j - 2*j - 245*j**2 - 7 + 1 + j + 246*j**2.\nAnswer: 11*j**2 + j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 4*z + 5*z)*(470 - 562*z - 470 + 326*z - 2554*z) in the form s*z**2 + l*z + m and give s.\nAnswer: 5580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1193 and 1.0632?\nAnswer: 1194.0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -23. Calculate the remainder when s is divided by (-4)\/12 + 4\/(36\/75).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**3\/3 + 9*f**2 + 4*f - 3006. Let p(c) = -4 - 2*c**2 + 5*c**2 - 2*c**2. Let m be p(-4). Determine s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*d - 174, 233 = -8*h + 12*h + 3*d. What is the lowest common multiple of 2 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrrrrrrrrrx. Give prob of sequence rr.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 770 and 0.5?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -38.1. Let u be 18\/(-4) + 10 + -5 + -1. Sort m, -1, u in increasing order.\nAnswer: -1, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + j, 0*j + 20 = -2*g - 4*j. Let q = g + 7. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 7*y - 8. Let c be p(8). Solve l - q + 7 - 1 = c, 5*q = 3*l + 26 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1049001033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t + 4 - 1 + 8*t**2 - t**2. Suppose -6*z + 3*z = -2*o + 13, -29 = 4*o + 5*z. Let p be r(o). Solve 1 - 6 = k + 3*n, p = -2*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-314)\/(-13) - (-18)\/(-117). Let q = m - 23. What is the second derivative of 9*z + 1 + 13*z**2 + 5*z - q wrt z?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:33 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28113 and -14.\nAnswer: 3.93582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1250 divided by -8\nAnswer: -625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*s - 130, 0 = 52*f - 55*f - 6. Is s >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -52, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -725 + 731. Calculate the common denominator of 25 and (a\/(-108))\/(4\/57).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*d - 160, -f - 24*d + 68 = -18*d. Let q(o) = -11*o - 4. What is the remainder when f is divided by q(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.041799 to 4 dps.\nAnswer: -0.0418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2511.86554 - -1234.3351. Let u = 3745 - q. Let y = u - -1.2. Round y to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 1. Let h(u) = -2*u + 1. Let w(a) = 2*h(a) + j(a). Let m(v) = 3*v + 3. Calculate 3*m(t) - 8*w(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3638861 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 141 (b) 2\/5 (c) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6*-10 - (-147)\/(-21). Does 19 divide -4 + (-13842)\/(-45) + o\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1358 - -1376.14. Let a = g - 18.4. What is a rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1 - (174\/(-18) - -8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 33 = 2*l - 3*m, 3*m - 15 = -5*l. Let a = l + -3. Suppose -a*t + 42 = -36. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115607565 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0541228 rounded to two dps?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 935. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3562891 is divided by 55670?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 498 = 4*h, -166 - 8 = 10*h - 14*h - 3*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15306694, -15306704, -15306714, -15306724, -15306734, -15306744?\n\"Answer: -10*l - 15306684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31620 is divided by 134.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 4*j + 3*j)*(16*j**2 + 10*j**2 + 8*j**2).\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(84)\/(sqrt(12)*1) - (sqrt(7)*2 + -5)))*2)**2.\nAnswer: -24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(45\/(-6)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2146132926 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 753 - 6*o**2 + 604 + 76.\nAnswer: -6*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/891304 and 55\/6536.\nAnswer: 16934776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 + 4*h - 7. Let v(q) be the second derivative of -q**4\/4 + q**3\/3 - 3*q**2\/2 + 8*q. Determine -4*b(g) + 9*v(g).\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63857 + 63857.1. Let s = -6.032 + 6. Is s less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -364*m - 29. Let j be o(-2). Suppose 3*v + 3*x = 705, 0 = -3*v + 2*x - 3*x + j. Calculate the highest common divisor of 29 and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*x + 6*x + 28, -4*k + 20 = -2*x. Let p = -4.2 - -0.2. Put k, -1\/8, p in descending order.\nAnswer: k, -1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 5*d**2 + 3*d - 7. Let s be v(5). Let w = -10 + s. What is the closest to w in 2\/7, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72+0.24815897\nAnswer: -71.75184103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177071 is divided by 58405?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 0 + 39*n**4 - 1 - 3 + 2 to the form m*n**3 + z*n**2 + i*n + x*n**4 + g and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126042305 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*j + 159*j = -12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -24. Let b = x + -9. Calculate the remainder when 39 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76663, -153327, -229989, -306649, -383307?\nAnswer: -459963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g**3 - g**2 + 21*g - 47. List the prime factors of q(13).\nAnswer: 5, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -208.1. Let v = -94 - o. Which is the second biggest value? (a) v (b) -4 (c) 3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -16 (b) -66117\/4 (c) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838289 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 13. Let h be t(5). Suppose -h*b - 397 = -3512. Let o = b - 241. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127410 = -38*j + 529792. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3\/9 + 14*p**2\/9 - 4*p = 0?\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 165\/(-29765)*(-5 + 2). Let a = 360068591\/83342 - i. Let f = -4324 + a. Find the common denominator of -101\/12 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*u - 9 - 16, -5*h + 49 = u. Let p = h + -6. Suppose 0 = -a + p*v + 37, 2*a - 4*v + 8*v = 62. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + h + 1. Let a be 4 + -2 + 1 + -3. Let o be g(a). Let d(t) = 6*t + 1. Calculate d(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2058\/18)\/(-7) - 72\/(-54)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42121141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 - x**2)*(-x**2 - x**2 + 392*x - 360*x).\nAnswer: 2*x**4 - 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-3)\/(6\/(-4)). Let j be 0 + 17\/3 - 4\/6. Suppose -j*s - g + 59 = 0, -l*s + 5 + 16 = 3*g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 3994.\nAnswer: -7\/3994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1337589, -1337645, -1337737, -1337865, -1338029, -1338229, -1338465?\n\"Answer: -18*o**2 - 2*o - 1337569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -108 - ((-1 - 4) + 1) - -3. Suppose 4*x + 198 = 6*x. Let y = x + s. Which is the second biggest value? (a) y (b) 1\/7 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 392 * 18.8.\nAnswer: 7369.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5921 is divided by 1918?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:23 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/8250)\/((-664)\/(-498)).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1148632.\nAnswer: 1148632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90228743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*v - 2*v, 2 = -4*v - 3*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5247 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29296 and 277405655.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 105*w - 24. Give z(-33).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6)\/(1\/18). Let z be ((-42)\/7)\/(2\/j). Let y be 6\/8 - (-7)\/4*15. Calculate the greatest common factor of y and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.312 - 3.3. Let t = 0.07 - c. Let y = 36.942 + t. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775050484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 = 17*o + 12*o. Solve -2*x = x + 4*b - o, 7 = 3*x + b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-9)\/(2376\/154))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78b86 + -78?\nAnswer: 78b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2382 and 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3254319.932 rounded to the nearest one thousand?\nAnswer: -3254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41732699 is divided by 254.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 120. What is z(-8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -988, -3161, -7378, -14317, -24656, -39073, -58246?\nAnswer: -82853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n + 28. Calculate u(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.6. Let f = 2.58 + -2.3. Let h = -0.48 + f. Which is the second biggest value? (a) q (b) h (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 20*x**2 - 20*x - 17. Calculate m(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 10:36 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3)\/(sqrt(108)\/(-1*sqrt(12))) - ((sqrt(192) + 0 + -5)*-4 + -3)**2.\nAnswer: -3361 + 1082*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21894 and 1424?\nAnswer: 175152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 2, j: 4, b: 1, f: 6}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21628, 44170, 66704, 89224, 111724, 134198?\n\"Answer: -q**3 + 2*q**2 + 22543*q - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*s**5 - 2503827*s**2 - s - 11439619 wrt s.\nAnswer: -140*s**3 - 5007654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-11) - 8060310\/(-138105)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201200100 (base 3) in base 15?\nAnswer: 10dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**2 - 12*t + 2662. Give z(13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.7 + 11.7. Which is the nearest to r? (a) 1\/25 (b) 2\/7 (c) -5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100, 191, 276, 355, 428, 495, 556?\n\"Answer: -3*r**2 + 100*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-596.\nAnswer: 2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1033 in 1.1, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*g + 115, 5*h - h - 132 = -4*g. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c)**(-5\/7) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(2)) + -4 + sqrt(6)\/sqrt(3) - ((-5*sqrt(98)*-1)**2 + 0).\nAnswer: -2454 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18145\/191*3\/((9\/(-12))\/(17\/68))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507591773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -312. Let c = y + -181. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 0.069222.\nAnswer: 1.069222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and 219.\nAnswer: 218.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 8*v + 51. Let w be r(-4). Let j be -16 + 14 - (-15)\/w. Solve -4*c - 10 = -3*h, 2*h = -3*h - j*c - 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-77)*2\/(-27).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from msdidssssmisims?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3672 = -570455*b + 570404*b for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 497*n**2 - 15805*n - 2623. What is m(527)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 516777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/36 - 0\/(-3). Solve 0 = -5*u - 2*g - 18, 3*u - 5*g + 26 - 9 = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = c + 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 26 = -2*i - i, -5*i + 3*x = -22. Find the third derivative of 19 - 22*o + 16*o + 6*o + 214*o**3 - o**i wrt o.\nAnswer: 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) -1.7 (c) 3 (d) 5 (e) -5 (f) 7850\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27498197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 1084 - 1788 = 0. Suppose -53 + j = 2*u. Suppose 0 = 4*y + 5*v - u, 47 = y + 4*v - v. What is the least common multiple of 22 and y?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 10*y - 28*y**2 + 6*y.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 648111683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21776 + -21774.62025. Round j to 2 decimal places.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332061.00008 - 332074. Let f = v + 13. Round f to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*100.47.\nAnswer: -200.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (462\/(-11))\/(-1*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -3) + (-204)\/(-2). Suppose 0 = -a + 6*a + b. Let q be 20\/6 - (-7)\/a. Solve w - q*s + 7 = -2, -3*s = 4*w - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4937242?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 120 = 5*w. Suppose 0 = -21*m + w*m - 69. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5\/2 - 1186*o**4 + 19093*o**3\/2 + 111481*o**2 + 58806*o - 41940 = 0. Calculate o.\nAnswer: -6, -1, 2\/5, 15, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13536 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/40 and 103\/2368888.\nAnswer: 11844440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a1804 + -5?\nAnswer: -33a1809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 5*f**2 + 3*f. Let x(r) = -r**3 + r**2 + r. Let k(u) = t(u) - 3*x(u). Factor k(i).\nAnswer: 2*i**2*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = -4*i - 2, 6 = 3*i. Is -4 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -829.\nAnswer: -5\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 2, b: 2, t: 2}. Give prob of sequence bi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/40)\/((-198)\/(-60))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -246.6 and 0.13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 56. Let m(x) = 7*x + 113. Give -5*i(s) + 2*m(s).\nAnswer: -s - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -4 (b) 2\/11 (c) -2\/9 (d) -6512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 513.6 - 619. Round m to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 1, f: 3, i: 5, c: 1, k: 1}. What is prob of picking 1 n, 1 f, and 1 c?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 13*y - 16. Let c be l(-11). Let w be (6\/(-9))\/(c\/369). Let a = w + 61. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3817*f + 14412 wrt f.\nAnswer: -3817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2448\/243091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*z + 980 - 157, -2*z - 5*c = -320. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 37481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 - 1. Let l be f(1). Suppose 0 = -0*d + l*d. Which is the nearest to d? (a) 2\/5 (b) 2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.85 - -0.15. Let w = -15 + k. Let j = w - 4.3. Which is the nearest to -1\/3? (a) -2 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:29 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -885.697 to the nearest ten.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*j**2 - 11*j**2 + 11 - 9 + 45*j**2 - 12*j in the form p + x*j**2 + m*j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 + 19. Suppose -3*g = 5*h + 14 - 6, 2*g = -3*h - 4. Calculate the remainder when -4*7*(-5)\/g is divided by z(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 4:54 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 6. Suppose -c = -x, 4*x + 56 = -4*d - 0*d. Let t = 32 + d. Calculate the remainder when 29 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/26911 and -83\/592042.\nAnswer: 592042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 22 = -28. Let m be (2\/x)\/(4\/(-6)) + 4. Suppose 0 = 8*n - m*n. Which is the nearest to 1? (a) -1\/6 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-10)*(3 + -2). Let g(f) be the first derivative of -1\/4*f**2 + t*f**3 - 1 + 0*f. Factor g(j).\nAnswer: j*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7389 = 5*v, -2*v - n = n - 2962. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5318\/5 + 1064. Which is the third biggest value? (a) 1 (b) p (c) -2\/3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(25\/(-90) - ((-912)\/(-54) + -17))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s - 265. Determine a(-17).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.67 + 0.83. Is -3\/5 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 4*b - 60 - b**3 + 59 - b**2. Let p(v) = -12*v**3 - 12*v**2 - 12*v - 10. Let a(g) = g**2 + 11*g + 20. Let j be a(-6). Calculate j*x(c) + p(c).\nAnswer: -2*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -12, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 811479.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430461804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*g**2 - 1 + 256*g**2 + 612*g**3 - 519*g**3 + 344*g**2.\nAnswer: 93*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*h - 41. Find the common denominator of 3 + (-4)\/(1392\/922) and ((-164)\/72 - h) + (-8)\/(-2).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1560\/3071016*193)\/(5\/(-3)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = -0*u + f, -4*u = 5*f - 17. Let m = -11757 - -11759. Let x(k) = 9*k**2. Let t be x(1). Solve m*g = t - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 87465.\nAnswer: 437325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 - t**2 + 52*t + 1 - 54*t to the form q*t**2 + k*t + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49464 + 12?\nAnswer: -49452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -100?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100))**2 + 3 + -3.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 12*r**2 + 9*r + 34. Let z be v(9). Let h = z - 240. Is h a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (593*d**2 + 0*d - 2 + 2*d - 605*d**2)*(12*d**2 - 9*d**2 - 6*d**2).\nAnswer: 36*d**4 - 6*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/(2\/8*9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*s + 6*l, -257*s + 258*s = 5*l - 6 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, 2, 14, 18, 58 in ascending order.\nAnswer: -5, 0, 2, 4, 14, 18, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 < 3830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2\/11)*d)**17\/(((d*d\/d**(-9)*d*d*d)\/d)\/((d\/d**(2\/9))\/d)))**(-18))**38 assuming d is positive.\nAnswer: d**(-5168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 782520 and 4920.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 9 - 7 + 10*k**2 - 2*k**2 + 4 + k**3. Let s be a(-8). Suppose -4*z + s = -24. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + 35*f**2 + 14*f + 11. Determine v(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6679 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/5 + 22*k**4\/5 + 6*k**3 - 14*k**2 - 152*k\/5 - 72\/5 = 0. What is k?\nAnswer: -9, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j*v**3*w**2*z**2 + 3*j*v**3*w**2*z - 127*j*v**3 + j*v**2*w**2 + 1998*j*v*w**2*z**2 - j*z + 2*v*z wrt z?\nAnswer: -2*j*v**3*w**2 + 3996*j*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325 and 66404750.\nAnswer: 863261750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 0, -4*g - 3089*r = -3084*r - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30637277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c + 2. Let q be (-3)\/(-9) - 58\/(-6). Suppose 2*d - q = -2. Calculate the remainder when y(3) is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24988993 - 65\nAnswer: -24989058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (174\/9)\/(5\/3 + -1). Let h = a - -107. Suppose 1 + 3 = -2*j, -2*x = 5*j - h. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 4\/3 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 5*y**2 - y + 3. Let t be h(-5). Calculate the common denominator of t\/4 + 29\/6 and -51\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 838\/14 - (-12)\/(-14). Let b = -28 - -54. Suppose b + v = 5*z. Calculate the remainder when 22 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = t - 48, -2*t = -4*h + 104. Which is the biggest value? (a) 9\/8 (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 4*f + 15*x, 4 = -2*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -0.04. What is the closest to y in -1\/5, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-7.972.\nAnswer: -7.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 3*i - 5. Let x(f) be the first derivative of -4*f**3\/3 - 2*f**2 - 6*f + 1. Give 6*t(w) - 5*x(w).\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258467, 258531, 258595, 258659, 258723, 258787?\nAnswer: 258851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/3, -0.4, -1\/3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 37 (c) -170 (d) -2 (e) 4 (f) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 358 + -353. Solve -2*l + 7 = r*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1486301880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - 4.01. What is the third smallest value in 2\/5, 6, o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-18)\/27)\/((-4)\/702).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18704*s**3 - 7165*s**3 + 1279*s**3.\nAnswer: 12818*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2 and (86\/(-20))\/((-28)\/35).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8992?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 75*r + 6. Let j be q(-2). Let t = 226 - j. List the prime factors of t.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.2. Let l = -4.69 - -4.69. What is the nearest to d in 3\/7, 6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*((-3)\/(-10))\/(585\/(-2860)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c - 2c91?\nAnswer: -3150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + t - 5 = -0*h, 0 = 2*h + 5*t + 5. Suppose -8 = -d + h. Suppose -5*c + 7 + d = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 0. Suppose -5*i + 2*d + 41 = -2*d, q = 5*i - d - 29. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487.83 + -478. Let m = o + -9.71. What is the second smallest value in 4, -1\/2, m, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 1966\nAnswer: -33\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-10) - (-68)\/85. Suppose -q*t + 5*y + 34 = 0, -t = -4*y - 0*y - 23. Suppose -6*s - 27 = -t*s. Calculate the greatest common divisor of 6 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + 807\/8. What is the common denominator of -99\/8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00599897 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - 1) - ((-45 - 65) + 69)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j**3 + 35*j**3 + 21*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**6\/30 + 269*t**5\/20 - 347*t**4\/6 + 4*t - 147. What is the third derivative of j(x) wrt x?\nAnswer: -24*x + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 4, -2\/19, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.98148 years to months.\nAnswer: 395.77776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 7:02 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2. Let u(b) = -b + 3. Let g be u(-1). Let w(f) be the first derivative of -2*f**2 - 5*f**2 + g - 7*f**2 - 1. Give w(h(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/3*i**3 + 0 + 0*i + 1\/120*i**6 - 2*i**2 + 2\/15*i**5 - 1\/24*i**4. What is the units digit of q(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48683628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -119, -85, 73, 403, 953?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.9 + -307.33.\nAnswer: -327.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/17)*q*q)\/q**(-2\/3)*(q*q**(2\/9)\/q)\/(q*q**4\/q) assuming q is positive.\nAnswer: q**(1\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 9 = -u, z - 4 + 1 = u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1261 from 116671.33417.\nAnswer: 117932.33417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109224 is divided by 776.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from inxjkivinkknkiii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 342124019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -74*b**3 - 1900*b**2 - 12*b - 1767. Let r(p) = 136*p**3 + 3799*p**2 + 22*p + 3535. Let t(m) = 11*n(m) + 6*r(m). Differentiate t(h) with respect to h.\nAnswer: 6*h**2 + 3788*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 8 = -p, -5 - 7 = -4*p - 4*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 25, k - 42 = -a. Let n = -1\/2437 - -570263\/12185. Let u = k - n. What is the second biggest value in u, 0.5, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -118?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 732601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -37*u + 152. What is the closest to -1\/490 in -1, 3, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 31 = -21. Let x = z - -29. Suppose b - 2*r - 11 - 15 = 0, 76 = x*b - 4*r. Solve -4*c = -2*i + 3 - 19, 4*c - 4*i = b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 16063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -69200000 rounded to the nearest 1000000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9))\/(11\/(-33))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74 + -2835?\nAnswer: -2761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2808 = -3*o + 2*t, 3*o - 2811 = 16*t - 13*t. List the prime factors of o.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45023716 to the power of 1\/2, to the nearest integer?\nAnswer: 6710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 4*u**2 - 909063*u - 3636245. Calculate a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i - 1. Let y(s) be the first derivative of 0*s + 0*s**2 + 1\/3*s**3 - 240. Determine -l(a) - y(a).\nAnswer: -2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(3*b - b - 3*b) - 2*b + 3*b - 4*b + 3 + b - 3 + (1 - b - 1)*(6 - 1 + 3).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4*k + 11*f**4 + 3*f**2*k**3 - 292*k**3 with respect to f.\nAnswer: -8*f**3*k + 44*f**3 + 6*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 25. Let v be n(0). Let c = -20 - v. Suppose 2*y - 6*y + 2*m + 26 = 0, 5*m = -4*y + c. Solve 0 = -5*l - 5*z - 10, y*l + 21 + 7 = z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30679409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74\/5 of a micrometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1440*b + 67097 = 21017 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 76135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.4, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 + 2*o**2 - 7*o**2 + 17*o**2.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -15*b**3 + b**2 - 6*b - 6. Let j(w) = -34*w**3 + w**2 - 13*w - 13. Let o(t) = 4*j(t) - 9*q(t). Calculate o(-7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1026*m - 189574. Calculate o(185).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8.10957089?\nAnswer: 8.10957089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -217*p**3 - 529 wrt p?\nAnswer: -651*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1697, -6796, -15295, -27194?\nAnswer: -42493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, -2 in descending order.\nAnswer: -2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 72 - 120. Let x = s + -94. Solve 0 = m - x*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -576549 divided by 47?\nAnswer: -12267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00126143337 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -z - 4 + z - 110*z**3 + 2 as c*z**3 + b + h*z + u*z**2 and give c.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57817, -115537, -173257, -230977, -288697?\n\"Answer: -57720*l - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 673747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - -1. Suppose 2*g - 2*j - 40 = 0, -2*g + r = j + 1. Solve 0 = 5*z - 3*y + 4*y + g, -3*z - 4*y + 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/900*700\/(-20)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 5818747, 21?\nAnswer: 5818747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 23 = -2*f, -r - f + 29 = 6. Let q = 3 + 30. Let c be 106\/22 + 6\/q. Solve r + 2 = c*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**2. Let c(r) = r + r - 6*r + 3. Let d(z) = -3*z + 2. Suppose -3*x - 2 = 3*h - 23, h - 3*x + 9 = 0. Let p(g) = h*d(g) - 2*c(g). Calculate p(l(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 15*j**2 - 40*j - 6. Calculate t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 732626 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8612*0.02\nAnswer: -172.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 543*q + 547*q = -2*c + 4*c + 18, -5*q + 23 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102.94 - -102.939997542. What is t rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 84 = 0. What is the greatest common factor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51408 = 6229*k - 409538 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2318005, 2318001, 2317995, 2317987, 2317977, 2317965, 2317951?\nAnswer: 2317935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00051 * 5.\nAnswer: -0.00255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1210 and 451814.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + 0.26. What is the nearest to 0 in -4\/5, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/65)\/(-9)*-10*(-11)\/220?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/5 - 36*o**3\/5 + 96*o**2\/5 - 92*o\/5 + 6.\nAnswer: 2*(o - 15)*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*m - 102, -4*v = 2*m - 0*m + 106. Let a be 3 + 3*m\/(-3). Find the common denominator of (a\/(-64))\/(1\/(-6)) and 85\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6925, 6925, 6923, 6919, 6913?\n\"Answer: -r**2 + 3*r + 6923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89\/5 - -91\/5. Let p = 0.02 - 0.32. Which is the closest to h? (a) -0.1 (b) p (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 12 - 4. Let b be d\/(-3) + (-4)\/(-18). Let y(n) = n**3 - 2*n**2 + 3*n - 1. Let o be y(1). Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1593497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5241*y = 10900*y - 430084 for y.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/14)\/((-2)\/(-21)*-12). Which is the second smallest value? (a) 2\/3 (b) 2\/9 (c) o (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 4*h**2 + h - 2. Let k be l(-3). Let f = -211.81 + 7.31. Let t = f - -204. What is the second biggest value in -3, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 2, -4, -22, -58, -118, -208?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -69\/41 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 684158.8597 plus 3149?\nAnswer: 687307.8597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -339? (a) 4 (b) -10 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-135)\/60)\/(-9) + 399\/4. Calculate the greatest common factor of 3400 and k.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 146 and 24?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 40, -3 in increasing order.\nAnswer: -3, -2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.79 + -17.8. Let q be (-6)\/(-9) - (-16)\/(-15). Which is the closest to -2? (a) -0.1 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 1. Let t = 7 + u. Find the third derivative of -4*c**3 - 4*c**2 + 6*c**3 - t*c**2 + 3*c**2 wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5401 - 1355414?\nAnswer: -1350013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -2*d + 2*a + 425, 0 = -3*d - 4*a + 695. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 37*a**2 + 9*a - 12. Let k(t) = 232*t**2 + 56*t - 75. Let j(z) = -4*k(z) + 25*p(z). Let i(h) = -h + 0*h + 4*h. What is i(j(y))?\nAnswer: -9*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92021191 to 4 dps.\nAnswer: 0.9202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 12646231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 73*g + 7 - 3 + 1 + 215*g - 100*g.\nAnswer: 42*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*l**2 + 22 + 927*l - 22 + 83*l**2 to the form m + f*l**2 + k*l and give k.\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 318 (b) 0.003 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3686102 divided by -12.\nAnswer: -1843051\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -32*u - 185. Let t be y(-8). Let z = 44 - 81. Let a = t + z. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*k = 0, 0 = 2*d - d - 4*k. Suppose -26*s = -28*s + 362. Let n = s + -166. Solve n = -5*v - d*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(2 - (-1 + -3)). Let p be (-12)\/(-18)*(-243)\/w. Let v be -3*((-31)\/p - -1). Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**(-1\/28)\/(f\/(f**(1\/5)\/f))**34 assuming f is positive.\nAnswer: f**(-8523\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 48 - 8*h + 3*h - 2*h - 2*h + (3*h + h - 2*h)*(-2 + 4 - 1) + h + 0*h + 0*h)*(5*h - h - h).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -61. What is the units digit of (q\/6)\/(1\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = w + 12, -4*w = 12. Let y = 27 - 26. Suppose 3*k + 16 + y = -4*i, -4*k - 6 = -3*i. Sort b, 1, i in decreasing order.\nAnswer: b, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 11) to base 14.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21597 - -19037. Which is smaller: -2557 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.523 + -35.223. Let v = l - -35. Let s be 2\/(-3) - 7\/(-15). What is the closest to s in -1\/4, v, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -0.3. Let q = 3 - b. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*2*((-74269)\/197)\/(-8294)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 7*c**2 + 5*c + 3. Let p(f) = -f**3 - f**2 + f + 1. Determine -6*p(b) + 2*z(b).\nAnswer: 2*b**3 - 8*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268350396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -14. Let x be 3\/k - 12\/(-9). What is the nearest to x in 0.3, -2, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1539 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6375, 6379, 6385, 6393, 6403?\n\"Answer: x**2 + x + 6373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200203323 - -13220?\nAnswer: 1200223203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9575*c = 303323 - 38483 + 434135 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730185?\nAnswer: 5, 53, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(96)\/(sqrt(40)\/sqrt(5))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 5. Suppose 108 = 3*g + 2*g - 2*v, g = -5*v. Suppose -5*w - 5*n + g = 0, 5*w - 5*n + 20 = 4*w. What is the units digit of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1*(-10)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -4167?\nAnswer: 4164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 81892*t. Let v(k) = -3849*k. Determine v(p(y)).\nAnswer: -315202308*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 164694 in decreasing order.\nAnswer: 164694, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-40.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 69734.9 millimeters?\nAnswer: 69734900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 1. Let i(o) = -o**2 - 35*o + 7. Let d(t) = -2*i(t) + 14*u(t). Let q(g) = -398*g**2. Calculate d(q(r)).\nAnswer: 316808*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.4. Let g = 0.14 - 103.14. Let s = 101 + g. Do s and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476772 a multiple of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1823584*c**2 - 242*c - 2114 wrt c.\nAnswer: -3647168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let c = 7 - 1. Let r = 5.7 - c. Sort p, -2\/3, r in ascending order.\nAnswer: -2\/3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.81 in 3, 0, -0.2, 1\/2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3863519 - 0.249345. Let r = 0.137 - m. What is r rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/3))**(-10)*a**(-5)\/(a\/a**(1\/4)*a))**(-46) assuming a is positive.\nAnswer: a**(-1817\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30007524*n**2*s**2 + 12362854*s**2 wrt n.\nAnswer: 60015048*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2173*c + 1166914. Determine m(537).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -201, -194, -209, -258, -353, -506?\n\"Answer: -2*w**3 + w**2 + 18*w - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afl when three letters picked without replacement from agcfacl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -7\/6*j**3 + 0 + 0*j**5 - 11*j + 1\/6*j**7 + 0*j**4 + 0*j**2 + 0*j**6. Find the second derivative of z(i) wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2461127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*d - 191*d - 8 + 30*d + 75 + 36*d + 27*d.\nAnswer: -2*d + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 377122 + 19096.344?\nAnswer: 396218.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 255*j + 28 - 246*j)*((-j**2 + j**2 - 2*j**3)*(2 - 1 - 4) + 4*j**2 - 4*j**2 + j**3 - 2*j**3 - 4*j + 4*j).\nAnswer: 45*j**4 + 115*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 5, z: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/15 + (-904)\/(-5). Calculate the highest common divisor of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v + 1)*(-623 - 984 + 2031).\nAnswer: 424*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1426969\/705555 - -4\/15679. Calculate the common denominator of 77\/30 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*w - 0*l + 2, 0 = 5*w - 5*l + 5. Which is smaller: w or -5\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.34534 + 7.65521. Let s = 10 - t. Round s to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2 + 33*a**2 - 7*a + 22*a - 18*a. Calculate the remainder when 165 is divided by p(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 8*f**2 + f + 10. Let s(w) = -2*w**3 - 16*w**2 - 2*w - 21. Let b(j) = 9*i(j) + 4*s(j). List the prime factors of b(-5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 123126750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 8424492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/246)\/((-13)\/((-624)\/(-8))).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19839280*k**5 + 46*k - 1630.\nAnswer: -396785600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + -6a?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 + 872*n**2 + 1554176*n\/5 + 152635392\/5.\nAnswer: 2*(n + 208)**2*(n + 1764)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 4\/7, -0.062 in ascending order.\nAnswer: -0.062, 1\/4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 92*w + 1199. Let l be b(-13). Solve -19*a + 23*a + 2 = -2*x, l*a = -5*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from qvfzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**6 - 9*l**4*q**2 - 10*l**3 + 15913*l**2*q**2 wrt l.\nAnswer: 480*l**3 - 216*l*q**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -49*o**5\/2 + 476*o**4 - 3805*o**3\/2 - 3901*o**2 - 1718*o - 220 = 0.\nAnswer: -1, -2\/7, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**12*f*f*f**(2\/11)\/f)**(-10\/3)\/((f**(1\/2))**32\/(f*f**(1\/13)*f*f*f*f*f*f**2)) assuming f is positive.\nAnswer: f**(-7893\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 23. Give h(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 2841813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/10 + -1\/70. What is the closest to y in -3, -2\/17, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(5\/4)*c))**33\/(c*c*c*(c**(-32)\/c)\/c*c**(-23)) assuming c is positive.\nAnswer: c**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -25*j - 22. Let x be v(-1). Solve -d + 4*w - 10 = 0, 0*w - x*w = -5*d + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 97. Calculate the common denominator of 47\/20 and (-5)\/h*77\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:02 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 10*f**2 + 3*f - 9. Give q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/50654*19*2?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*c + 26, 7*h - 6*h + 3*c = 18. Suppose -h*b - 8 = 2*l, 5*l + 11*b = 6*b - 10. Solve l*u + u - 10 = g, 0 = -u + g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - l**3)*(128*l + 383*l + 238*l) + (6*l**2 - 2*l**2 - 3*l**2)*(1 - 3*l**2 - 1).\nAnswer: -752*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*j - 5*r - 22, -52 = -5*j + 2*r. Suppose -5*i = -2*i - 69. Let v = i + 11. Calculate the remainder when v is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8327571 - 4163785 - 4163783 - 11*w. Let n(a) be the third derivative of -5*a**4\/12 + a**3\/2 - a**2. Give 6*g(y) - 7*n(y).\nAnswer: 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217 and 12607.\nAnswer: 390817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1853\/11 or -44\/3?\nAnswer: 1853\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5086101 to the nearest integer?\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 9. Let o be v(-6). Let n be ((-2)\/o)\/(4\/24). Which is the nearest to 0? (a) 1 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4174 or -4175?\nAnswer: -4174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213 and 497.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35113817*m**5 + 34842144*m.\nAnswer: 702276340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - -0.4. Let a = 9\/26 - -7\/130. What is the nearest to a in 0.4, -0.3, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxdd when four letters picked without replacement from xddxxdxdxxddx?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2181529*s**4\/3 + 1030946*s**3 + 365403*s**2.\nAnswer: s**2*(1477*s + 1047)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 16) in base 15?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*s**4 + 4\/3*s - 2\/3*s**2 - 8\/3*s**3.\nAnswer: 2*s*(s - 1)**2*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.1 + 9.56. Let k = -0.06 + f. Let q = 1.4 - k. Put q, 5, -3 in descending order.\nAnswer: 5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5412 and -17\/27.\nAnswer: 48708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 14270*f**2 + 1083735*f - 1098000.\nAnswer: -5*(f - 2928)*(f - 1)*(f + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Let t be (0 + 22)\/(o\/6). Let h = t + -29. Solve -4*m = m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 215*q + 220 = 0 for q.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (437*j**3 - 25 - 2651*j**3 + 25)*(-4*j + 2*j + 0*j) to the form n*j**4 + s + w*j**3 + k*j**2 + l*j and give n.\nAnswer: 4428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p**2 + 12*p - 27 + 1\/4*p**4 - 6*p**3. Let v be h(18). Solve o = -3*o - v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.739 (b) -0.4 (c) -31\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 22*g - 21. Suppose -126 = 6*i + 12. Let c be q(i). Solve c*u + 0*u = -10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -24*a - 76. What is the units digit of z(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**3 - 762*d**2 + 762*d**2)*(3 + 3*d - 3)*(0 - 1 + 13 + (-2 - 3 + 2)*(2 - 1 + 0)).\nAnswer: -135*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3 - 5*t + 0 - 2*t. Let h be v(-1). Suppose -2*b + 90 = y, -h*y + 2*b - 78 = -398. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -5.7. Let s = c - -4. Which is smaller: 3\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931921103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*m + 46*t - 49*t, -4*m = -2*t + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 3443*w - 183330. Determine b(55).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055607 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 296, 788, 2074, 4532, 8540, 14476, 22718?\n\"Answer: 63*g**3 + 19*g**2 - 6*g + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 986 and 2552.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 18, k: 1}. Give prob of picking 2 g.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = d. Calculate the remainder when 30 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -922 in -0.4, -9\/4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*y + 66*y - 15, -3*i = -3*y - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 d when three letters picked without replacement from {q: 19, d: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 8*h - 12. Is z(18) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -1\/5 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 + 6 - 19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1014 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -56, 97*f - 33*f + 4 = 30*f + 30*f - 2*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1300 and 4160?\nAnswer: 20800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.24 (b) 7\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbrdndmnbnqm. What is prob of sequence bqr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 28743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 21 = 35. Let x(c) = 2*c**2 + 8*c**2 - k*c**2 - c**2. Let o(y) = 5*y**2 + 6*y**2 + y**2 + 0*y**2. Calculate o(x(v)).\nAnswer: 300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1793929, 1793984, 1794039?\n\"Answer: 55*s + 1793874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131234134 - 10110?\nAnswer: -1131244244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:50 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 291433.\nAnswer: 30\/291433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -41. Let i be 8\/(-6)*q\/(-4). Solve -3*n = -i*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 106. Let b(r) = 2*r - 7. Let p be b(5). Suppose 0 = 4*x - p*x - 3. Calculate the remainder when x is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.3 + 25. Let s = f - 1.3. What is the nearest to -0.2 in s, -2, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 1322173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 69298*d**2 + 207908*d - 138608.\nAnswer: -2*(d - 2)*(d - 1)*(d + 34652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 + -167. Suppose 14*m - 164 - 18 = 0. Calculate the greatest common divisor of m and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 156728 - -1?\nAnswer: 156729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2728?\nAnswer: 3\/2728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 - 79. Let t = u - 59. What is the third smallest value in -7, 2\/5, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 386*i**3 + 294*i**3 - 74*i**3 + (-5*i + i + 3*i)*(4*i**2 + i**2 - 4*i**2).\nAnswer: 605*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -837 - -840. Let q(x) = x**3 + 2*x**2 - x - 2. Let d be q(-2). Solve d = y + 2, w*u + 5*y = -13 + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13744, 27490, 41236, 54982, 68728?\n\"Answer: 13746*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 55*u**2 - 55*u + 45. Determine m(54).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186892295?\nAnswer: 5, 37378459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a*a**3)))\/a*a**2*a*(a*a**0*a*a)\/a*a**(-3\/10))\/(a*a\/(a\/a**(-8)*a)*a*a*a*a**(-2\/7)*((a\/a**6*a*a*a)\/a)\/(a\/a**(-2\/25))) assuming a is positive.\nAnswer: a**(6323\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-4 + 0 + 2)*(v**4 - 2*v**4 + 3*v**4) + 74*v - 74*v + 13*v**4 - 3*v**3.\nAnswer: 17*v**4 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 108 + 216 + 59*r.\nAnswer: 59*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 10. Let z be w(6). Suppose 39*s = -314 - 154. Let f(c) = -4*c**2. Let m(l) = -11*l**2. Give s*f(y) + z*m(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -9. Let m = o - 8.03. Let z = 5.03 + m. What is the third smallest value in z, -1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*w + 1683 = -437*w + 25*l, -2*l = -134 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*f**2 + 128556*f + 210276.\nAnswer: 3*(f + 3894)*(11*f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o + 3552. Let d(r) = 777*r. What is z(d(a))?\nAnswer: -603729*a**2 + 1554*a + 3552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + -0.6. Let r = -327\/5 - -65. Is r at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4008\/1503*(-30)\/4*-1 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505.801904 rounded to 1 decimal place?\nAnswer: 6505.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 12, o: 3}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.29, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*u = -130, -17*w + 4*u + 64 = -14*w. Solve -62 = 18*s + w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387970674 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 184 + 321 = 22 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)\/(q**(-10)*q))**(-28\/5)\/((q\/(q*q\/q**(-5\/6)))\/(q\/(q*q**(1\/4)))*q**(1\/2)*q**(-1\/4)) assuming q is positive.\nAnswer: q**(-673\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4348?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5200 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552663086 a multiple of 2269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.05, -20, -1\/6 in decreasing order.\nAnswer: 0.05, 0, -1\/6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -71*d**3\/2 - 81*d**2\/2 - 49*d - 94. Let k(b) be the first derivative of j(b). Differentiate k(a) wrt a.\nAnswer: -213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Let y be (-1)\/(-5) - w\/10. Which is the nearest to -1? (a) y (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibbhc. What is prob of picking 1 b and 1 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.53628, -0.4, 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3420293*a**5 + a**3*u - 25*a**2*u + a**2 - 8861*a*u - 6*u wrt a.\nAnswer: -205217580*a**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3854 - 73)\/(-51) + -38?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 30, 40, 50, 60?\n\"Answer: 10*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/126396 and 89\/12.\nAnswer: 126396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/((-675)\/234)*(-4)\/((-40)\/(-15))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19047 - 12171029\/639. Put -1\/3, v, -2 in decreasing order.\nAnswer: v, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 92342097 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 2, y: 1, l: 1, w: 2}. What is prob of picking 1 a, 1 l, and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27753 divided by 2?\nAnswer: -27753\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5)*(-2 + 0 - 2)*(-5*a**2 - 3*a**2 - 5*a**2) + (-a + 4 - 4)*(2 - a - 2).\nAnswer: 157*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9262*l + 9293*l - 27746*l + 9221*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6 and -19\/1933653?\nAnswer: 3867306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*n - 5*q, 254*q = 255*q + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4603887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - -2. Let k = -14 + h. 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: Suppose -171585 = -r - 5*n, 3*n + 343209 = -4*r + 6*r. Suppose 54*m = 58*m - r. Round m to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8596706 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**4\/4 - 2*c**3\/3 + c**2\/2 + 4*c + 1. What is the tens digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) -1 (c) 55\/21 (d) 2 (e) -0.3 (f) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*i - 3 = 0, 2*v + 3*i - 5*i = 3*i + 2 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h**3 + 24*h**2 + 38*h - 32. Let d(c) = 5*c**3 - 12*c**2 - 17*c + 15. What is 18*d(s) + 8*z(s)?\nAnswer: 2*s**3 - 24*s**2 - 2*s + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 99*m**2 + 101*m - 81. Give p(100).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.27 + -5.57. Let h = 0.4 - 0.3. Let n = 3 - 2. Which is the second biggest value? (a) h (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198708837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.5 - 15. Let p = g + -68. What is the third smallest value in p, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26685, 67703, 108731, 149775, 190841, 231935, 273063?\n\"Answer: t**3 - t**2 + 41014*t - 14329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1192 + 2092 = 2*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (261\/45)\/((-8)\/(-10)) and -79\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p - 15*p - 19*p as s + d*p and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -70, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4615218, 1, -0.32 in descending order.\nAnswer: 1, -0.32, -4615218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 2:21 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/7 - 18150322*a\/7 - 82358547175921\/7 = 0.\nAnswer: -9075161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13020220 (base 4) to base 2\nAnswer: 111001000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -611.999999434 + 612. What is d rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-155)\/(-4) + 18\/72. Suppose 126 = -25*f + w*f. Solve -3*x = 3*x - f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, 3, -8\/21, 1\/4, -1\/2, 42?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -56, -68, -42, 46, 220, 504?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77, -80, -85, -92, -101, -112?\n\"Answer: -m**2 - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 + 12)\/8)\/(16\/(-352))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3284667, -5, -10 in descending order.\nAnswer: 3284667, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**2 - 1755*w - 247592. Determine d(317).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -51. Calculate the common denominator of k - (-8)\/(-30) - (-3)\/(-5) and -70\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*b + 91061, 13*i - 4*b + 22789 = 14*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 plus 26006579?\nAnswer: 26006723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, j: 1, c: 5, r: 1}. Give prob of sequence gj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 419*y**3 - 14*y**2 - 64149 wrt y?\nAnswer: 1257*y**2 - 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 - 71928*n**2 - 1297571028*n - 149551936976 = 0 for n.\nAnswer: -35906, -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 117 + 8*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 317741.168 to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 784.5984 minutes?\nAnswer: 0.54486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**2*x + 2*f**2 + 2974*f*x - 40*x + 378 with respect to f.\nAnswer: -10*f*x + 4*f + 2974*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53491924 to the power of 1\/2, to the nearest integer?\nAnswer: 7314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, k: 1, t: 2, a: 7, w: 6, c: 2}. What is prob of picking 2 w, 1 a, and 1 c?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 - 5*m + 4. Let v be l(5). Let p be (v\/(-6))\/((-1)\/3). Suppose -3*i - j = -5, -3*j + j = i. Is p <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21545 is divided by 9905?\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146058 and 14784.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4 + 0 - 4 + 2 + (4 + 0 - 2)*(1 - 4 - 2) + 3 + 0 - 2)*(2*i**4 + 2 + 0*i**3 + 0*i**3).\nAnswer: -26*i**4 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, p: 2, k: 3, s: 1, h: 4}. What is prob of picking 2 p and 1 h?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201574 is divided by 104.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1276 - 1364) + (-2 - -51).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/6)*z)\/z*z)\/(z*z*z*z**(-1\/20)))**(-26)\/((z*((z\/z**0)\/z)\/z)**(1\/12)*(z\/(z\/z**(-1\/3)))**(-32)) assuming z is positive.\nAnswer: z**(551\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 47*o + 103. What is t(-45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 23*n + 103. Let a be j(4). Sort 2, a, 4 in descending order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 912 and 198.\nAnswer: 30096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4154 or 4153?\nAnswer: 4154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -141.3. Let m = 9.3 + k. Let x = 0.09 - -0.31. What is the closest to m in -0.5, 0.01, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*i - 40*i**2 + 4*i**2 + 109*i + 111*i + 87*i.\nAnswer: -36*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3408\/13*b - 302\/13*b**2 - 10008\/13 - 2\/13*b**3 = 0. Calculate b.\nAnswer: -139, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39551 is divided by 6577?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**4 + c - c**3 + 13*c**4 + 0*c**3 to z*c**2 + q*c**4 + d*c**3 + l*c + b and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a - b?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-21))\/u)\/u)\/u**(-1\/2) assuming u is positive.\nAnswer: u**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 27771.\nAnswer: -1\/27771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from {n: 6, r: 2, u: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let z be q(2). Suppose 0 = z*t - 2*t - 14. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxxx when four letters picked without replacement from {h: 2, x: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1724 and -89\/16.\nAnswer: 6896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 67*m - 953. Is 4 a factor of b(52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-7) + 248\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1451*u**2 - 2891*u**2 + 1453*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/2))**2)**(-26)\/((f*f**(1\/4))**(-3)\/(f**(-1\/2))**27) assuming f is positive.\nAnswer: f**(-143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6223019?\nAnswer: 11, 349, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -7.09, -0.4, -5, -25.\nAnswer: -25, -7.09, -5, -0.4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 17*l - 5. Let t be ((-22)\/55)\/(((-4)\/60)\/(-1)). List the prime factors of y(t).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/3 + 0 + -3. Let c be (9 - s) + (2 - 3). Suppose 14*w = c*w + 165. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2279 and 1479678.\nAnswer: 1479678.2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -2\/5 (b) 0 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-4)*-1 + -1 + 4. Solve w*j = 3*y + 23, 5*y = 3*y + 3*j - 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 71*l + 2047, 5*i + 14*l = -11*l - 13*l + 36*l - 78 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624, -731, -838?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + (-110)\/(-150). Let f(q) be the third derivative of -u*q**3 + 0*q - 1\/8*q**4 - 1\/30*q**5 + 0 - q**2. What is f(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x - 9*x. Solve 5*w - 2*t + 9 = 0, 5*w - 5 + x = -5*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 475570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 61, 2, -3, -7 in increasing order.\nAnswer: -7, -3, 2, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 21.2 (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6d3bb (base 16) to base 12.\nAnswer: -4019a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 32 = 5*j. Suppose 0*o = 3*o - 45. Suppose -o = -j*i, 0*q = -q - i + 26. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78657390 divided by 2247354?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 + 2*l**3 - 2*l**3)*(-613 + 181 + 316) + 2 - 2 + 3*l**3 as s*l**3 + m + t*l + g*l**2 and give s.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/40 - g**3\/2 + 5*g**2. Differentiate j(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q**2 + 3*q - 10. Let d be m(4). Suppose -5*g + 1402 = d*r, -2*r = -3*g - r + 839. Is 70 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1629124072 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/120 - d**5\/20 + d**4\/24 + d**3\/2 + d**2. Let k be z(-3). Factor k + 4\/11*r**2 - 2\/11*r**3 - 2\/11*r.\nAnswer: -2*r*(r - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, 2, -1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -763, -1709, -3033, -4735, -6815, -9273?\nAnswer: -12109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose -o = -2, -l - 3 = w*l - 3*o. Solve 4*k - 3*k = -l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x + 1583. Let r(y) = 2*y - 792. Let p(w) = 3*j(w) + 7*r(w). Let q(n) = 2*n**2. Give q(p(b)).\nAnswer: 2*b**2 + 3180*b + 1264050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -217*u + 2338. Let j be o(8). Solve -126 + j = 68*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164 - 160.04. Let x = r + 0.04. Let c = x - 0. What is the nearest to 0 in 0, 0.1, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -0.9. Suppose -p + 12 = -2*w, -2*p + 3*w = w - 18. Suppose -k = 2*k + p. What is the third smallest value in -2\/3, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.186 rounded to 1 decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/108*-3*1*24\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -2\/9, 5, -3\/5, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5280*u + 38 - 7 - 14 - 17.\nAnswer: 5280*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*f + 73*f + 120*f + 440*f = -46530 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-11 - (-9 + 4))) + (-28 - -13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.7 + 0.7. Let t = -7 - j. What is the nearest to 1 in t, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3*c - 82. Suppose -4*x + g - 4*g + 63 = 0, 3*x - 4*g = c. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 710964144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 231. Which is the nearest to n? (a) -5 (b) 2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*f = -132, -m + 2*f + 44 = -0*m. Let t(u) = -u**3 + 10*u**2 + 2*u - 8. Let a be t(10). What is the greatest common factor of a and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 - 6434\/39. Let j = -9\/13 + w. Let g be 4\/12 - (-16)\/6. Which is the third biggest value? (a) g (b) j (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**2 + 15*t - 3. Let s(m) = m**2 - m - 1. Let f(l) = -2*l + 5. Let y be f(2). Let h(i) = y*p(i) + 6*s(i). Give h(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 77 - 145*k + 129 + 119*k. Does 16 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115*((-129105)\/(-1035) + -125)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 45 = 61*d. Factor 0 - 5\/3*a - 1\/3*a**3 - d*a**2.\nAnswer: -a*(a + 1)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71174 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -205 - -212. Solve -l*h + 20 = -11*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -314956546.3000005 - -314956450. Let o = -96.3 - l. Round o to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 26 + 11 = 0. Let n be 32 + w\/(-6)*-6. Let f be ((-1)\/3)\/(-7 + 2051\/294). What is the greatest common factor of f and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/3 + 3076*v\/3 + 734345 = 0.\nAnswer: -1941, -1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -499, -747, -995?\nAnswer: -1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*g**3 - 4*g**3 + 10*g**3.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:19 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjz when three letters picked without replacement from {h: 6, z: 3, j: 1, x: 4}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 50. Sort g, -0.4, -0.1 in increasing order.\nAnswer: g, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - l**3 + l**3 + (2*l**2 + 0*l**2 - l**2)*(-41 - 11*l**2 + 41))*(-2*l + 2 - 2 + 3).\nAnswer: 24*l**5 - 36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 8*f + 6 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 416043619.135.\nAnswer: 416043621.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209030068?\nAnswer: 2, 13, 4019809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1581 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/25, -0.5, -5, -3\/7, -10 in decreasing order.\nAnswer: 2, 2\/25, -3\/7, -0.5, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706224675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4380 - 104 = -19*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1505332 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 182604.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 4*c - 33. Let m be x(18). Let n = 1476 - m. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1, -56, 4, 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*q - 3*x + 1, 2*q + 3*x = 3. Suppose q = -4*k + 3 - 15, -n = k - 55. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2\/83, 0.1, 88, -3\/5, 2?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 13) in base 6?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*q - 357, -3*q - 4*y - 99 = -456. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 2*t + 9*t - 11*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = t. Suppose t*m + 4 = 0, 3*c + m = -0*m - 1. Suppose 5*x = -4*a + 115, c*a = -2*x + 4*a + 46. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -573 + 605. Differentiate 217 - p**2 + v + 24*p - 34 wrt p.\nAnswer: -2*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9685, -9689, -9707, -9745, -9809?\n\"Answer: -m**3 - m**2 + 6*m - 9689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -0.6, -0.23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 25. Suppose -r*l + 46 = 3*n - 30, 4*n = 5*l - 190. Let j(a) = -16*a - 9*a - 15*a + l*a. Let k(v) = 9*v**2 - 1. What is k(j(o))?\nAnswer: 36*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*c**4 - 1\/3*c**5 + 0 + 0*c - 1\/3*c**3 + 0*c**2.\nAnswer: -c**3*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + r = 15, -15*y - 5 = -14*y - r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 196717\nAnswer: -393434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -2, 3, 1\/5, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 1, 4, 6\/7, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/54 - 95*n**3\/9 + 284*n**2\/9 - n + 221. Solve f(c) = 0.\nAnswer: 1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m\/(m**0*m)*(m*m**(-4\/5))**(8\/7) assuming m is positive.\nAnswer: m**(148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3189 by 63.\nAnswer: 1063\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:34 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*l + 5*k**2*n + 70*k**2 + k*l*n + 3*l - 7*n with respect to n.\nAnswer: 5*k**2 + k*l - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 41*y**2\/2 - 97*y - 193. What are the prime factors of u(15)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3269*m + 1137611. What is j(-348)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q + 456. Give c(-31).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 9 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 11 + -18 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.51 - 0.81. What is the nearest to -1 in 4, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -2, -5, 0, 112, 5, -9 in increasing order.\nAnswer: -34, -9, -5, -2, 0, 5, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 50\/3. What is the closest to s in 1, -5\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 304.6 - 350. Let j = z - -45. What is the nearest to 1\/3 in j, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007482 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -3)\/(2\/8). Let p(r) = -51*r - 47. Let u be p(-1). Solve 5*c + 0*c + 15 = -a*b, 0 = -u*c - 2*b - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(72\/(-16)))\/((-84)\/18)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 620 = u, u - 281 = -4*k + 351. Let v be (-2)\/3*-3 - 0. Suppose 0 = 10*n - v*n - u. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e82 (base 16) in base 6?\nAnswer: 100054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, o: 10}. Give prob of picking 2 l and 2 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - p - 25 = 0, -5*d - 2*p = 134. Suppose -u + 10 + 2 = 0. What is the remainder when (0 - 2\/(-7)) + (-2316)\/d is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -a611557?\nAnswer: a611559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1 - 2*((-1233)\/126 - (-400)\/40).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -168*c**2 + 12*c - 6. Let y(w) = -335*w**2 + 23*w - 11. Let b(l) = 5*j(l) - 3*y(l). Is b(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49164, -49166, -49168?\nAnswer: -49170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -1, -810789 in ascending order.\nAnswer: -810789, -1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40024.849 rounded to the nearest 10?\nAnswer: -40020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-6)\/h)\/h)**(-12\/7))**(-24))**(1\/70) assuming h is positive.\nAnswer: h**(-1152\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19656142*m*o**2 - m*o - 5631*o**2 - 1340*o wrt m?\nAnswer: 19656142*o**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Solve -5*j + 10 = 29*r - 33*r, -4*j = 5*r + 33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.7 and 0.063.\nAnswer: 1.4931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 25*p - 64. Let z be k(22). Suppose 0 = w - z*t - 1931, 0 = -87*t + 89*t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -175\/9887551 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -270 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcccjjjxcj. What is prob of picking 2 j and 2 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1452 and -61\/836.\nAnswer: 27588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592499.7mm in centimeters?\nAnswer: 59249.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3\/2 - 155*v**2 - 2660*v.\nAnswer: 5*v*(v - 76)*(v + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 366 and 20.\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(1\/6)*r)\/r)*r**(-2\/5))\/((((r\/(r*r**(-1\/3)*r))\/r)\/r)\/r**(2\/3))*(((r*r**(2\/5)\/r*r)\/r)**(-2\/83))**(1\/54) assuming r is positive.\nAnswer: r**(84407\/22410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0, -0.03, 2\/17?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)*(3 + -1). Suppose 0 = a - 6*a + 15. Suppose -8 = -h*u - s, 3*s - 22 = -2*u - a*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*a + 13*f, 9*a - 11*a = -5*f - 7 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -8. Suppose f*w = 5 + 40. What is the remainder when 18 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 9. Suppose -13 = -2*k + 1. Let p be q(k). Suppose -14*n + 12*n = 15*n. Put n, p, 4 in ascending order.\nAnswer: n, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3138 + -3137 - -1*77.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, 3\/5, 3\/2, 8945, -0.5 in ascending order.\nAnswer: -4, -0.5, 0.1, 3\/5, 3\/2, 8945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -302, -300, -298, -296?\n\"Answer: 2*p - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-1\/3)\/o))**(-3))**(1\/27)\/((((o\/(o\/(o*o*(((o*(o**0*o*o)\/o*o*o)\/o)\/o)\/o*o)))\/o)\/o)**16\/(o**(-3)*(o*o**(1\/5))\/o)) assuming o is positive.\nAnswer: o**(-4748\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 114545852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 16*k + 24. Suppose g = -0*g + 58. What is the remainder when g is divided by 10*(k + 4 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/299 and 127\/130.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*v + 57, 4*w + 5*v = -0*v + 39. Let f(d) = -20*d. Let g be f(-4). What is the highest common factor of g and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 36\/(-48)) + (-1)\/(-2 - 2). Sort -22, 2\/3, 9\/4, r, 1 in descending order.\nAnswer: 9\/4, 1, 2\/3, r, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9400694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 201185*d - 201186.\nAnswer: (d - 201186)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83718 is divided by 996?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3 + 93976*a**2 - 1104875232*a + 22059930240 = 0.\nAnswer: 20, 23484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 273*k. Let o(c) = 1663*c + 4. What is o(t(w))?\nAnswer: 453999*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.513476 minutes to seconds.\nAnswer: 570.80856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from jvvvjcncjvvjvvvvv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12525437 or -0.1?\nAnswer: 12525437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2679236493.\nAnswer: 3, 19, 263, 313, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h**2 - 11*h**2 + 1 - 7 - 69*h**2 - 57*h**2.\nAnswer: -101*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1728 - p**3 - 558 - 1173 + 7*p + 0*p + 5*p**2. Let n(a) = a**3 + a**2 + a + 6. Let r be n(0). Determine t(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c - 17 = 11 + 23. Sort c, -0.2, -2\/3, -4, 10.\nAnswer: -4, -2\/3, -0.2, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**3 + l**2 - 4. Let g(t) = 4*t**3 + t**2 - 5. Suppose 2 = -4*c - 14. Let a(r) = c*g(r) + 5*u(r). What is the third derivative of a(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/4 + z**3\/3 + z - 3. Let u(l) = -15*l**3 - 20*l**2 - 20. Suppose 93*a - 43*a + 1000 = 0. Calculate a*d(w) - u(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204620499*r**5 - 1585863*r - 4?\nAnswer: 4092409980*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 13*d**2 - 27*d + 36. Give s(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 16611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 - 6. Let t be n(-3). Let k be 20\/t*48\/(-40). Sort k, 5, -2 in ascending order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.2 + -6.6. Round a to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/23660868 and -131\/90066.\nAnswer: 402234756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (-8 - (-21 + 16 + 4)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-45) - 12842\/15 - 5. Calculate the smallest common multiple of 120 and (-6)\/8 + 3 + f\/(-28).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 794 - 791. Let q(o) = 13*o - 1. Let n(k) = 27*k - 1. Calculate j*n(i) - 5*q(i).\nAnswer: 16*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.45 + -20.45. Let n = -72 - -793\/11. Let o = 2795 + -2796. Which is the second smallest value? (a) n (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4)*(-v**2 - 2 + 2)*(2 - 2 - 5*v**3).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186229036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 + 5 = 0. Is y\/6 - 429\/(-9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1334104341 (base 5) to base 10\nAnswer: 3425596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*u**2 - u + 143 wrt u?\nAnswer: -36*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664643 is divided by 1673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-26)\/4)\/(4\/(-209 + -7)). What is the units digit of (-1900)\/(-18) - (-156)\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -11 - (-4 + (47 - 48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1334350, 1334365, 1334384, 1334413, 1334458, 1334525, 1334620, 1334749?\nAnswer: 1334918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*b - 14 = h, 2*h + 11792 = 4*b + 11780 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.92 + 0.92. Suppose -144 = -4*j + 8*j. Let x = j - -109\/3. What is the nearest to 0 in 1\/6, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*s = -92*s + 300 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/225)\/((-28)\/(-18)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrmr when four letters picked without replacement from xrmxxxxymmxrnnnnxxx.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.375407 rounded to three dps?\nAnswer: 0.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 - -40.9. Let k = q - 38.6. Let g = -2 - k. Which is the nearest to 0.1? (a) g (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -8\/9, -15\/4, 0.7, -25?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/7 + 2\/7. Let i be (3 - (-2)\/(-1))*2. Is 3 a factor of (-1)\/i*s*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 3226\/535 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.008 times -51698\nAnswer: -52111.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21228 and 6954.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43010 and 23460.\nAnswer: 258060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(6171) + sqrt(6171) - sqrt(6171))*-2)\/(-1*(sqrt(75) + sqrt(75)*1 - sqrt(75))).\nAnswer: 264*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = -325. Calculate the highest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1016489 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 31410*o**3 + 156945*o**2 - 125540*o = 0 for o.\nAnswer: 0, 1, 4, 6277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5997 + 6345. Calculate the highest common divisor of 2697 and h.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**3 - 8*o**2 - 3*o + 5. Let h(p) = 20*p**3 + 16*p**2 + 5*p - 11. Let u(n) = 4*h(n) + 9*y(n). Let w be u(-7). Solve -w = -4*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.1, 79, 2\/17, -1, 101 in decreasing order.\nAnswer: 101, 79, 2\/5, 2\/17, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2203.5802*0.4.\nAnswer: 881.43208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 q, and 1 z when four letters picked without replacement from {w: 1, q: 3, g: 5, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*c - 291, -2*w + 5 = -1. Suppose 0 = j - 4*m - 32, 4*j + 0*m - 4*m = c. List the prime factors of 5\/j - 1142\/(-8).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkvbbblbjlkvbk. Give prob of sequence jv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5 - 1)*45*2. Solve -16*h - 5 = -f*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*n - 5*b - 23 = 0, 0 = -2*n + 3*b + 16. Solve 1 = -4*t - n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*r + 15 + 5, -10 = -5*a + 2*r. Suppose 5*v - 21 + 11 = a. Sort v, 5, -4\/7 in ascending order.\nAnswer: -4\/7, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + x - 4. Let h be u(0). Let f be 3\/21*h + 1. Which is greater: -1\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*i + 11 = -i, 4*i = -20. Let w(s) = -1 - 45*s**2 - 38*s**2 - 5*s**3 + 83*s**2. Give w(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.284289 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -448 + -5?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1650 = 8*q. Let k = -139 - q. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*p + 13, 0*p - 2*p + 2 = 2*f. Suppose 7*n - f*n + 8 = 0. Is 8 a factor of n - -2 - (-3 - 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -16*w. Let y = -471 - -466. Let u(q) = q + 1. Let s be u(-3). Let n(j) = 2*j**2. Let r(b) = -4*b**2. Let p(t) = s*r(t) + y*n(t). Give f(p(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/2 + 114*u - 6498 = 0. What is u?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2)\/((-7)\/(-28)). Suppose w*j + 3 = -3*x - 11, 0 = 4*x - 5*j - 33. Let f(v) = -3 + x - 2*v - 3. Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 668331, 1336670, 2005007, 2673342, 3341675, 4010006, 4678335?\n\"Answer: -p**2 + 668342*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*a = -768*a - 5*l + 190, 4*l - 1118 = 47*a + l + 624 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 5*m + 5. Let z(l) = l**2 - l + 1. Let x(w) = b(w) - 5*z(w). Let j(g) = -45*g**2 + 1. What is j(x(n))?\nAnswer: -180*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3307, 2, 0 in increasing order.\nAnswer: 0, 2, 4, 3307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/8*46\/(-69)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 17*l. Let d(o) = 1089*o. Calculate -d(m) + 2*n(m).\nAnswer: -2*m**2 - 1123*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgggggc. What is prob of picking 3 g and 1 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -35?\nAnswer: -18\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26201 and 610204?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1435590 divided by -478530?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000519 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 7988*h + 56064. Determine o(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 12 in ascending order.\nAnswer: -17, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(420)\/((sqrt(132)*-1)\/sqrt(11)))\/(sqrt(20)\/sqrt(324)*-5).\nAnswer: 2 + 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32696000 and 1876.\nAnswer: 228872000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -72. Suppose 2*s - f*s - 18786 = -4*c, -23485 = -5*c + 3*s. Let z = 98519\/21 - c. What is the common denominator of z and -163\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 71 = 59 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1)\/((-64)\/(5760\/5805)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163398, 162369, 161340, 160311, 159282, 158253?\nAnswer: 157224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1472 divided by 23.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80287561*s**3 - 976425527 wrt s.\nAnswer: 240862683*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 56. Solve 9*d - 4*d = i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 1835, 4181, 7493, 11783, 17063, 23345, 30641?\nAnswer: 38963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57236079, -114472155, -171708231, -228944307, -286180383, -343416459?\nAnswer: -400652535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -793198, -793196, -793184, -793156, -793106, -793028, -792916, -792764?\nAnswer: -792566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -689 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (404*g**4 - 824*g**4 + 597*g**4)*(-20 - 4 - 2) to f*g**4 + z*g**3 + a*g**2 + u*g + y and give f.\nAnswer: -4602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*n + 43 - 16, -2*y - 26 = -2*n. Sort -5, 4, y, -3 in descending order.\nAnswer: 4, -3, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88576\/448 - -1*2\/7 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 8:51 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 280573399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 6409054?\nAnswer: 6409054.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let x = -3 - -8. What is the least common multiple of 28\/2*i\/(-2) and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31836210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85 + 195)*1\/(-4))\/((-7)\/(-14)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*n**2 + 8*n**2 - 13*n**2)*(-2 - 4 + 3) - 3*n + 3*n + n**2.\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 134349.6 - 387544.8?\nAnswer: -253195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 3378461624826.\nAnswer: -3378461624830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 183715?\nAnswer: 9920610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - 3. Let m(o) = -17*o - 8. Let a be 104\/(-24)*(1 + 2). Let n = 10 + a. Determine n*m(w) + 8*r(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = 2*i, 18 = -t + 6*t + 2*i. Suppose 10 = 5*j - 4*d, t*j + j = -2*d - 16. Let f(y) = -5 - 2*y + 2 + 0. Give f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-2 - sqrt(100)\/sqrt(5).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4573790 and 13590?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 7*s. Let g be a(8). What is the first derivative of -g*o - 2*o**3 + 6*o**3 + 8*o + 5 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 542070774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 84 + 635 = 0 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7052 + 7053.1. Which is the nearest to i? (a) 3\/8 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167461 divided by 2018?\nAnswer: -167461\/2018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q**2)*(5*q**3 - 4*q**3 + 0*q**3) + 147*q**5 + 73*q**5 + 97*q**5.\nAnswer: 319*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 2299.93\nAnswer: 689.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -278954, -557912, -836870, -1115828?\n\"Answer: -278958*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01503 + -1.01733. Let a = 0.18 - -0.82. Let s = x + a. What is s rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:45 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 1\/5, 93209\/7?\nAnswer: 93209\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123372 and 345.\nAnswer: 616860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428 and 6.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 8. Suppose -5*m + 50 = 3*b - 54, 2*m + x*b = 50. Calculate the remainder when 74 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/(-21) + 1)\/(-2). Let w be (-1)\/(-2) + 1\/(-2). Suppose 0 = -w*a - a. Which is greater: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/5984 and -11\/2720.\nAnswer: 29920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(272) + -2.\nAnswer: -6 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -6 (c) 6 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - b + 9 = 0, -3*b - 9 = -5*d + 20. Suppose n + 69 = d*j, 5*j - 2*n + 0*n - 87 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2266*j**2 + 4535*j**2 - 2270*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14005.\nAnswer: 5, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6\/5, -2, -21 in descending order.\nAnswer: 4, 6\/5, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, e: 1, z: 2}. What is prob of sequence eyzz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/11, -3, -2\/49, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16069 - 32142 + 16073 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n + 110. What is o(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5.49636827 * -1\nAnswer: 5.49636827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 9*i**2 - 14*i - 2. Let u be n(12). Let x = -171 + u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*39148700.\nAnswer: -11744610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 5 (c) -1.41 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y*y**(-4\/7)*y)\/y)\/y)*y**5)\/(((y**1*y)\/y*y*y*y)\/y**(-3\/2)) assuming y is positive.\nAnswer: y**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/130 and 131\/23790.\nAnswer: 23790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/66 - 62\/(-6). Let k(h) = 26*h + 42. Is k(b) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7948579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 + 101 = v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.356 - 2.3. What is m rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 858.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 2669?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -7*d + 10*d. Does 2 divide d\/12 - (-15)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5225.82796 rounded to the nearest 10?\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3714*s + 36. Let p be q(-1). Round p to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06376 - -2.49134. What is f rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3\/5 + 52*v**2\/5 + 52*v\/5 - 308 = 0.\nAnswer: -5, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - g - 29, 0 = -5*u + g + 12 + 29 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 58 = 98. Which is the closest to 0.3? (a) -8 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + z)*(-135 - 87 - 1).\nAnswer: -223*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 300. Is 30 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Solve r = -k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1496 or 1\/4?\nAnswer: 1496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7747, 7731, 7691, 7615, 7491, 7307, 7051?\n\"Answer: -2*w**3 - 2*w + 7751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12657264 to the power of 1\/2, to the nearest integer?\nAnswer: 3558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - f + 3. Let s be j(-3). Let x(p) = -p**2 - 2*p. What is x(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + 1 + 1 - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 3313439225.\nAnswer: -3313439224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-5\/14)))\/(h\/(h\/((h*h*h\/(h*h**15)*h)\/h))) assuming h is positive.\nAnswer: h**(187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -372*m + 20. Let q(j) = 133*j - 7. What is 5*a(s) + 14*q(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55.8 and -1.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/5 - 27*g**4\/5 + 27*g**3 + 671*g**2\/5 + 24*g - 180 = 0 for g.\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 15 + -41 - (21 + -2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*s, -5*y + 4*s - 3 = -1. Suppose -20 = -5*z + 5*v, y*z - 4*v - 12 = -0*z. Solve o + z*d + 10 = -d, -5*d = 2*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 11, 0.4, 6\/157?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -20*b**2 - b**2 + 17*b**2 + 0 + 3 + 5*b. Let g(u) = 2*u**2 - 3*u - 2. Let h = 0 + -5. Give h*g(n) - 3*p(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9711 + -9700. Solve -4*d = 4*b, 2*b + 24 + l = 5*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726693 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.1 - -696.98?\nAnswer: 907.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 2035*z - 45 + 6*z**2 - z**2 - 1021*z - 1013*z. What is o(7)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 2226?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*u + v + 2*v, 0 = 5*u + v + 7. Let j be (-148)\/(-18) + (-4)\/18. Let t be (u\/j)\/((-3)\/(-4)). Which is the nearest to t? (a) 0.4 (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606\/707 - (-30)\/(-35) - -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*k + 0 - 4\/3*k**3 - 2\/9*k**4 + 14\/9*k**2 = 0. Calculate k.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -47*w + 374. Determine q(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37806709 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 95*r**3 + 5*r**2 - 4*r - 1. Let g be d(1). Let z = g + -88. Solve -3*f = -z + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-128)*-8)\/(-15*20\/200)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 205 (b) -6\/7 (c) 0.2 (d) -20.9 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16))\/((-636)\/5088).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6919 - 3432 + 31*r - 23*r - 3485.\nAnswer: 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14166\/7 + -2023. Are -2\/141 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 10*k + 3. Let h(s) = s**3 - 14*s**2 + 14*s - 8. Suppose 5*m - 14 - 51 = 0. Let x be h(m). What is the units digit of t(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*t**6 - 128*t**2 wrt t?\nAnswer: 28560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1210)\/sqrt(2) + -3 + sqrt(320))**2.\nAnswer: -3628 + 228*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 6173859*v**2 - 37043235*v + 55564893.\nAnswer: 3*(v - 3)**2*(v + 2057959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -714 by 1.\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 224 (c) 5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = -5*r + 52, -2*a = 5*r - 52. Let v = r + -12. Suppose v = -2*g - g + 99. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-202.97\nAnswer: 16.2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + -10 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*((-m - 2*m + m)*(-2 + 4 + 0) - 5*m - 173*m + 87*m).\nAnswer: -285*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23317789, -23317787, -23317787, -23317789, -23317793, -23317799, -23317807?\nAnswer: -23317817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -68562, -137126, -205690, -274254, -342818, -411382?\n\"Answer: -68564*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-112)\/(66\/(-18) + 4). Let a be 9*-1*(b\/(-18))\/(-14). Solve -a = -4*t - 0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11635955*b**3 - 3878640*b**3 - 3878649*b**3 - 3878641*b**3.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 0.81, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2. Let k(h) = -3*h - 5. Let l(t) = 7 + 1 - 5*t + 9*t - 2. Let d(n) = 6*k(n) + 5*l(n). Calculate j(d(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466912548.\nAnswer: 2, 3, 17, 59, 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from sayhssn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 5, -5, 53 in decreasing order.\nAnswer: 53, 5, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023438 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/18*2 - -4. Let p(u) be the first derivative of a*u**2 + 5 + 0*u + 16\/9*u**3 + u**4. Factor p(v).\nAnswer: 4*v*(v + 1)*(3*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 0*u - 2 - 1. Let j be (49\/(-14))\/(1\/(-2)). Let y be f(j). Is y not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -0.7. Suppose 4 + 32 = -9*r. Which is the second biggest value? (a) 0.3 (b) -0.1 (c) i (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/1728*-4*(-13)\/(585\/(-72)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 + 2*x - 38. Let m(b) = 4*b**3 - 4*b + 77. Calculate 5*i(n) + 3*m(n).\nAnswer: 2*n**3 - 2*n + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a factor of 607806285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (4 + -3 + 4)) + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (7 - 3) - (-3 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 1074 - 447. What is the highest common factor of r and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 9*g**2 + 9*g - 8. Let b be h(-10). Let f be (0 - 7)\/(2\/(-4 + b)). Let j(n) = -7*n - f*n + 14*n - 3*n. Let z(w) = 6*w**2. Calculate j(z(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 767, -0.4, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-147)\/(-14072)) + (-24)\/252. Let x = o - 576. Calculate the remainder when x is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oocccccc. Give prob of sequence cc.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/4*((-426)\/(-360) + (-81)\/(-540)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 170 = 22*f. Sort f, 10, 0, 2 in increasing order.\nAnswer: 0, 2, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**3*s**(-9) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 3. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -34. Suppose 5*i = 4*n - 7*n + 225, -5*n - 25 = 0. Suppose -5*y = -i - g. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614094 is divided by 9595.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260681 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34467, 34477, 34501, 34545, 34615?\n\"Answer: y**3 + y**2 + 34465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 165.4355 grams?\nAnswer: 165435500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00357078372 to 7 decimal places.\nAnswer: -0.0035708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**4 + 78878*d**3 - 88*d + 1017.\nAnswer: 12*d**2 + 473268*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) 1 (c) -2\/297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 66*c + 356. Let a(o) = o**3 + 6*o**2 + 8*o. Calculate a(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26098577209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 3, -9\/5, 2, -15 in ascending order.\nAnswer: -186, -15, -9\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*y - 22*y - 107108*y**3 - 24*y.\nAnswer: -107108*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913419910*t + 913419854*t - 4 + 4.\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 540346.369 rounded to the nearest ten?\nAnswer: 540350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3285*b**5 - 3404*b**3 + 576287*b + 135 wrt b?\nAnswer: 65700*b**3 - 20424*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - (-381)\/(-15). Let s = 39 + r. Solve -2*o + 5*u - s = 0, o + 3*u + 5 = 4*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58788953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -74241472 divided by -6208\nAnswer: 11959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f + 2*u = -32*f + 2, -2 = 2*f - u. Solve 18 = 2*t + r - 5*r, f*t + 6 = -2*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79375.87 decades to months.\nAnswer: 9525104.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1207 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75929*p**2*s*z**2 + 2*p**2*z**2 + 114*p*s*z**2 - 2*p*z**2 + 87 wrt p?\nAnswer: 151858*s*z**2 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1092*r + 1098. Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.07235789 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 p when three letters picked without replacement from qlwpppw.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12835 and 27999?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, -75, -476, -1255, -2538, -4451?\nAnswer: -7120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 45, 109, 209, 351, 541, 785?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 1700*h + 8375.\nAnswer: 5*(h - 335)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/10 + (-8)\/40. Suppose -d + 66 + 105 = t*a, d = -a + 42. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3372.1 + -3372. Let u = 2.3 - 2. Let i = -164 - -164. Put u, q, i, 2\/13 in ascending order.\nAnswer: i, q, 2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 1281*q**5\/5 - 256*q + 85. Differentiate p(k) wrt k.\nAnswer: 5124*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6949\/28 + -1746\/7. Suppose -m - 16 = -3*k - 59, 5*k + 4*m = -83. Let u = k - -47\/3. What is the nearest to u in -5, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.075 - -11.3. Let c = u - 0.105. What is c rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(145\/105) + 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 25*f**2 - 24*f - 45. Calculate j(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 2*u + 4*u**2 - u + 2*u. Let r = 33 + -38. Let c(s) = 3*s**2 - 7*s - 1. Calculate r*m(y) + c(y).\nAnswer: -2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 2*n. What is the remainder when (3 + n)*60\/4 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 5*r**2 + 4*r - 4. What is n(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/20)\/((-1)\/18). Solve -3*u + 1 = -5*m - 9, -4*m = u - b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*d - 843 + 337, 0 = 3*f + 15. Round d to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4802\/637)\/(1620\/195 - 8).\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 5.9. Let u = k + -3.9. Which is the nearest to u? (a) 4 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, t: 1}. Give prob of picking 1 o and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (sqrt(117)*2)**2 + -5.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0628 + 0.0174. Let k = 53.8546 - x. Let p = k - 54. What is the nearest to p in 2\/7, -1\/3, -3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 12*p**2 + 25*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1513 (base 8) to base 12\nAnswer: 5a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -251*a - 3 - 174 - 118*a - 17*a. What is the hundreds digit of x(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-12))**(-42)\/(y**(4\/7)\/y**(1\/10)))**(4\/19) assuming y is positive.\nAnswer: y**(64614\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 + 60789*u**2\/2 + 121584*u + 121586.\nAnswer: -(u - 60793)*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 2*z + 5*z - 5*z + 2*z + 4*z + (-z + 0 + 0)*(-1 - 1 + 0) - 2*z + 3*z + z + 0*z - 26*z + 9*z to f + p*z and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 114 + 88*h**2)*(13*h - 1 + 12*h**2 - 30*h + 20*h).\nAnswer: 1056*h**4 + 264*h**3 - 88*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.3. Let o = y - -0.4. Let q = -2 - -2. What is the second biggest value in q, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - -6. Suppose 0 = -2*x + q - l, -x - 79 = 3*x - 5*q. Let m be (-100)\/x - 5 - -1. Which is bigger: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.12 (c) 17.8 (d) 2 (e) -1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-2)\/(-2)*-2. Suppose -d*w - 2*w - 20 = 0. Put 1, 4, w in descending order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7937\/8 + -992. Let t(r) be the third derivative of 0 + 1\/20*r**6 - 5*r**2 + 1\/8*r**5 + 0*r**3 + g*r**4 + 1\/140*r**7 + 0*r. Factor t(z).\nAnswer: 3*z*(z + 1)**2*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 20633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001034272 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.65*15.\nAnswer: 9.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 21 = 6. Let z be (r\/9)\/((-2)\/12). Solve -n + 15 = z*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (56 - (-15 + (25 - 22) - -4)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 702141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Suppose -w*t = t + 28. Let c(j) = -j**3 - 6*j**2 + 2*j + 8. What is the remainder when c(t) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:45 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 25*o**3 - 6*o + 3. Is r(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by 56.\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.5 (c) 0.06 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 5) in base 2?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/(u\/(u*u\/(u**(-4)*u*u)*u)))\/(u**(-8)\/(u**(-4)\/u))*(u*u**5*u)\/u**(-2\/5)*((u*u*u**(-2\/3))\/u)**(1\/11) assuming u is positive.\nAnswer: u**(1886\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 14 + 26. What is the remainder when j - (-4)\/(2 + 2) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 3*n**4 + 4945*n. Let w(x) = 180*x**2. What is k(w(d))?\nAnswer: 1166400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-1)*l\/(l*l**2*l)*l**(-2\/13) assuming l is positive.\nAnswer: l**(-67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14672981 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 9. Let i(n) = -24*n + 361. Let h be i(15). Let l(f) = -1. Determine h*s(v) - 4*l(v).\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -333*w**3 + 2*w**2 + 2*w + 1. Let p be d(-1). What is the remainder when p\/12 + 3\/18 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -210 - -b18?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) -53\/4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*v + 7. Let f(t) = 1 - 3*t**3 + 4*t**v + 2*t**3 - 4*t + 0 + 0*t**3. Calculate f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(768)*-3)*1 + -3 + (4*(-5 + (sqrt(11) + -2 - sqrt(11))))**2.\nAnswer: -sqrt(11)\/24 + 781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -76 - 85 - 87 + 228 + 11*n + 14*n**2 + n**3. What is y(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60570, 60574, 60588, 60618, 60670, 60750?\n\"Answer: h**3 - h**2 + 60570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2143816.75 rounded to the nearest 1000?\nAnswer: -2144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 6, d: 1, l: 1, e: 7}. What is prob of sequence le?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**3 + 4*t**2 + 4*t. Let z be 60\/3*(-7)\/(-56)*-74. Let v = -190 - z. Let q(m) = -8*m**3 + 5*m**2 + 5*m. Calculate v*g(p) + 4*q(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 - 10*r - 40. Let w be z(-10). Let q = w - -3781\/7. What is the closest to -0.2 in 2\/9, -2\/23, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 49*b + 720 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, 51, 166, -14 in decreasing order.\nAnswer: 166, 51, 39, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1728)*2 - -5*sqrt(1728)*-2)\/((sqrt(9) - (sqrt(576) + -3*sqrt(576)))*1*-3).\nAnswer: 48*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + 12 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183165 and 1375.\nAnswer: 50370375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i + 4. Let d(z) = 9*z + 3. Calculate 5*d(t) - 4*v(t).\nAnswer: 13*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 23*v**2 + 25*v - 4. Determine k(-24).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**3 - a**2 - a. Determine z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-28) + (-741)\/21. Let q = -15 - n. What is the remainder when q is divided by -1*(-28)\/(-2 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsjsvllslqsql. Give prob of picking 1 s, 1 l, and 2 q.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g**3 + 3*g**3)*(-4 + 1 + 4)*(-4 + 4 - 3 + (52 - 20 + 72)*(0 + 0 + 1)).\nAnswer: 202*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*k**3 - 234*k**2 - 5*k**3 + 217*k**2 + k**3 + 0*k**3 - 3*k**3 + (4*k - 3*k + 0*k)*(k**2 + 2*k**2 - 2*k**2).\nAnswer: -32*k**3 - 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:19 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 1:07 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**2 - 14*q + 3. Let b(p) = -6*p**2 + 13*p - 4. What is 3*b(f) + 4*n(f)?\nAnswer: 2*f**2 - 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 44. Let l = g + 51.6. Which is the third smallest value? (a) 2 (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0184 + 0.2816. Which is the second biggest value? (a) -74 (b) -0.09 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, b: 6}. Give prob of sequence cb.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/1896257 and 53\/12656413?\nAnswer: 544225759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 782213, 3128850, 7039911, 12515396, 19555305, 28159638?\n\"Answer: 782212*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5336)\/115)\/(1\/5). Let d = -226 - k. Solve -d + 1 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 213000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-36)\/(42\/(-7)) - (-7920)\/(-384)\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2416 - 2239. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k + 11*k = 0. Suppose 0 = -5*p + 4*n + 1506, -2*p - 4*n + 769 - 161 = k. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + 28*p**2\/3 + 59*p\/6 - 19.\nAnswer: -(p - 57)*(p - 1)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 16842*n - 23637747.\nAnswer: -3*(n - 2807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1342, -1274, -1152, -970, -722, -402, -4, 478?\n\"Answer: q**3 + 21*q**2 - 2*q - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 595, 594, 593?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + (-120)\/(-21). Let q be (-273)\/14*(-40)\/j. Suppose 13*o - 8*o = q. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2431, -4946, -7461, -9976?\n\"Answer: -2515*l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17294 - 17299.5635. Let u = -5.6 - k. What is u rounded to 3 dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*72\/640*(-4)\/(-24)*-4.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 divided by -1?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.33 (b) 2\/77 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-180))\/((-208)\/64)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69049959 and 63.\nAnswer: 1450049139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -534 (base 6) to base 10.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 62 = -1 - 17. Solve -2*q = -2*c + 6, -q + a = c + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 48\/(-21) - 97\/(-560) and -39\/14?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*g - 8 = 0, 2*c - 6*c = -5*g + 32. Let b = c + 10. Factor t**b + 11*t**2 + 3*t + 19*t**3 - 7*t**3.\nAnswer: 3*t*(2*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44993341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = 3*p. Let q be 36\/30*2\/p. Let l = 4.02 - 0.02. Which is the closest to -1? (a) 1\/2 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 210*u + 49. Is 7 a factor of p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18137, -18121, -18105, -18089, -18073, -18057?\nAnswer: -18041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - z = -0*v + 229, -3*v + 337 = 5*z. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7522 + -7536. Let f = 16 + -15. Which is the biggest value? (a) f (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-8 - 126\/(-28))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.72 + -4. Let x = -0.78 - q. Let i = 19\/7 + -67\/35. What is the nearest to -1 in x, 4, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 12602864 - 25205726 + 12602862.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 511348 = -138652. What is r rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 10:05 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 185 (base 9) to base 6\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187537907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2 - 9*m + 103*m + 9 in the form f + h*m and give h.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*g + 5*g. Put -4\/3, 4\/9, 0, g in ascending order.\nAnswer: g, -4\/3, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 0, -2.2, 6, 0.8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:52 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 16 = -7*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -80, 329, -1 in descending order.\nAnswer: 329, -1, -25, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 34 + (-2 + -6 - -7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.2 - 51.6. Let w = 72.85 + 0.15. Let i = u + w. Put 2, 10, -3, i in decreasing order.\nAnswer: 10, 2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 13, -59306, 2 in ascending order.\nAnswer: -59306, -0.1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -421\/9 + 47. Let c = 484 + -486. Let i(s) = -s + 5. Let b be i(5). What is the biggest value in b, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-187)\/(-7) + 24\/84. Let p = q - 19. Suppose p*n - 3*n = 0. Solve n = 2*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105.3 - 15.3. Let m = -675691.71 - -675601.709654. Let c = m + l. Round c to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 52, 60, 56, 34, -12, -88, -200?\n\"Answer: -o**3 + 15*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.021 and 0.436?\nAnswer: -0.009156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 178*z**2 - 1 - 43*z**2 + 3 + 3*z**3 as d + t*z + f*z**3 + i*z**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 + 13.5. Let w = d + -6. Sort -0.3, 3\/4, w in decreasing order.\nAnswer: 3\/4, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2aa (base 11) to base 2.\nAnswer: 101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + -13?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*x + 9*x**3 + 279*x**4 - 280*x**4 + 0*x to the form p*x**3 + k*x**2 + n + r*x + d*x**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 3.738\nAnswer: -33.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -151. Calculate the lowest common multiple of (24\/(-9))\/(212\/f + 7) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*q - 2*p, 3*q - 2*p - 32 = 15. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -41 - 657\/21\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/3 + 700*f**3 + 551250*f**2 + 1187*f - 1. Factor i(v).\nAnswer: 4*(v + 525)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23445633697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/4 + 1\/4. Sort -2\/9, x, 11 in descending order.\nAnswer: 11, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2400, 4787, 7174?\nAnswer: 9561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1855904 divided by -57997\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -23, -111, -291, -593, -1047, -1683?\nAnswer: -2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5122 divided by -18.\nAnswer: -2561\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d**(-8))**(2\/23) assuming d is positive.\nAnswer: d**(12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2, 5, -0.05, -1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + -6 + 6 + 5 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 + 73\/3. Suppose -18 = -w - 2*w. Suppose -w*k = -3*k - x. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -483.8427 and 90.5.\nAnswer: -393.3427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 114*b - 112*b - 10, -3*j + 2*b = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 11*v + 6*v - 3*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 7001896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 2*y**2 + 5*y - 4. Let i = 4 - 1. Let h be d(i). Solve h*r = 3*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/25 of a kilometer?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5200, 20861, 46978, 83563, 130628, 188185, 256246?\n\"Answer: 2*a**3 + 5216*a**2 - a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -125300*-24\nAnswer: 3007200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -118124 divided by 29531?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + r = -6, 2*n + 0*r - 18 = 4*r. Let f = 28 - 23. Sort 1, f, n.\nAnswer: 1, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 362 divided by 4\nAnswer: 181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 + y**2 + 3*y - 2. Suppose -13 = -4*q - v, -4*v = -2*q + 3*q - 22. Let l be j(q). Let m = 28 + l. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*p + 957034 - 498803 = -1272185. Solve -2934*g + p*g - 22 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 - 9*r + 8. Let h be f(5). Let y be (-12)\/34*h\/(-18). Is y at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from ifxkxoxxifxf?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40755 divided by -715?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/(-1*3). Let p = 0.42839 + -0.72839. What is the second biggest value in 1, -0.4, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25622 is divided by 219?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171500 and 11900.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39856396 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932626.4 weeks to minutes.\nAnswer: 9400874112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.015 in -60, -241, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, 8, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3235 - 3234.9. Which is the fourth smallest value? (a) y (b) -5 (c) -0.031 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(1 - (-19 + -1)). Let m = 9 + i. Does 7 divide (-65)\/(-3) + m\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 3*g - 3. Let x be b(-5). Let p = 23 - x. Suppose 0*i + p = 4*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 25 = 5*x, l = 2*x - 12 + 19. Let p(t) = t**3 - 10*t**2 + 16*t + 4. Let q be p(8). Solve 0 = -3*a + k - 7 - q, 3*a - 5*k = l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*d + (1 + 4 - 14)*(-2 + 2 + 2*d) + (0*d - 6*d + 4*d)*(3 - 1 + 3).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0 (b) -11 (c) -3 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634424?\nAnswer: 2, 7, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -106324279, -106324278, -106324277, -106324276?\n\"Answer: m - 106324280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12376 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*o - 432 - 514, -4 = -4*z. Suppose l + o = 2*l. Suppose x = -0*x + 3*g + 38, 2*g + l = 5*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365143?\nAnswer: 17, 47, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 8*q - 9. Let l = 1 - -6. Let z be o(l). Let x = -65 + z. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0 - (3 - 13)) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.04 + 1.0157. What is f rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.027, 2\/23, -0.5, -0.3 in ascending order.\nAnswer: -0.5, -0.3, -0.027, 2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 + 46 = -5*n. Let z be (8\/10)\/(2\/n). Let j = z - 6. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let n = 6 - 2. Let u be (-8)\/(-10)*10\/n. Suppose u = -3*x - 7. Give m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1603*b + 117260 = -529*b for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 35, 5, 0.\nAnswer: 0, 1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - (-5 - -2)*2. Let k(f) = 10*f + 2. Give k(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f + 46*f + 10 = 0. Let y(m) = -5 - m + 6*m + 9*m. Let g be y(f). Calculate the greatest common divisor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4998 divided by 6\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/71594 and 21\/2?\nAnswer: 71594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 36 = 5*l, -14*l + 9*l = -v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/8)\/5*(4\/22 - 33152\/(-3520))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 divided by -118?\nAnswer: -407\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.109139.\nAnswer: -0.0109139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - 0. Which is greater: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 22*i**2 - 5. Let o be n(-2). Suppose z - 136 = -3*z - 4*r, -2*z + o = 5*r. Let p = z + -10. Is 19 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15166 + 5522 = 12*g. Let v be (158\/(-6))\/((-1)\/(-39)). Let h = g + v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*d + 3*d + 4*r, -5*d - 5*r = -30. Suppose -84 = -d*i - 0. Let u be 7\/i + 67999\/4. What is u rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 2 (c) 3 (d) -5 (e) 17850\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 1 - 8. Suppose u*t = -2*t + 15. Suppose -2*j + 433 = 5*r, 2*r - t*j - 243 = -85. 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 gknpcngpccngtgggkkn. What is prob of sequence nng?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -8891?\nAnswer: 8890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 bigger than 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 155*a - 26. List the prime factors of k(37).\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:00 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -103, -218, -379, -586?\n\"Answer: -23*c**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-694)\/(-4)*2 + (5 - (16 - 6)) is divided by 110?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404 divided by 18?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.3, 0.1, -1\/285, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -3*z + 7, -3*m + 32 = 4*z. Suppose z*g - 18 = -g. Let p(h) = -3*h - 1 + 1 - g + 6. Calculate p(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 924 = q + 1194 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 81*i**2 - 906*i. Let m(c) = -141*c**2 + 1813*c. Calculate 4*m(j) + 7*w(j).\nAnswer: 3*j**2 + 910*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + -6. Let z be (-5)\/25*10\/6. Which is the closest to z? (a) 3 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 14*b - 13*b. Let n(g) = 4*g**2 - 2*g**2 + 6 - b*g - g**2 + 4*g. Calculate n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*t + 102*t + 12 + 3*t**3 - 18.\nAnswer: 3*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421651 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1484305 and 1484309 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0681, 8\/3, -4, -1, -19, 0.5 in decreasing order.\nAnswer: 8\/3, 0.5, 0.0681, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -329 - -4717\/13. Is z equal to 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 0, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294 + 836 - 1323)*(-1 - 2*x**2 + 1).\nAnswer: 1562*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 1428, 4795, 11306, 21999?\n\"Answer: 173*x**3 + 15*x**2 + 5*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -327, -826, -1427, -2172, -3103, -4262, -5691?\n\"Answer: -7*f**3 - 9*f**2 - 423*f + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**2\/2 + 6*u - 15. Let g be 6 - 0\/(2\/(-2)). Let o be v(g). Solve -h = 3*h + o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 582.387 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2436 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5578323 = 2*p, 0 = 5*p + 4 + 11. Suppose 0 = -10*b - 2330557 - i. Round b to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-98475594.6\nAnswer: -98475592.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130355 - 131?\nAnswer: 130224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 237, 240, 245, 252, 261, 272?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11536 + 11533. Which is the third smallest value? (a) 250 (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100034 is divided by 112.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 + 4*x - 58. Calculate v(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-209 - -222) + 23*-1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1084 + 2073. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -1 (c) -0.2 (d) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000041338 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 3:05 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -481\/2905 - 20\/581. What is the closest to -16 in -13, n, -0.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51483*t**3 + 519546*t**2 - 47268*t + 1080.\nAnswer: -3*(t - 10)*(131*t - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18118 - -4404. What are the prime factors of i?\nAnswer: 2, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6247237\/16792272 + 1\/149931. Find the common denominator of -103\/588 and g.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -216015, -216279, -216543?\n\"Answer: -264*j - 215751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 2*v**2 + 4. Let s be a(-2). Suppose 10 = s*h - 102. Calculate the remainder when 83 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 8, c: 5}. What is prob of sequence ctt?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*14760\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 (base 10) in base 15?\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4 and -5815 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*o + 20828, 115*o = 110*o - g + 20832. What are the prime factors of o?\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5118 + 4719 - 1464 + 5120 + (2 - 5 + 1)*(4 - 2 - 1) + 4 + 2 - 4)*(2*f + 2*f**2 - 2*f).\nAnswer: 26986*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**3 + 5*i**2\/2 + 9. Find the second derivative of z(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11781368?\nAnswer: 2, 19, 77509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52085\/947 - (-21)\/(-6)*4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (9 - 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200156?\nAnswer: 2, 11, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**3 - 6*p**3 + 5*p**3 + 408*p**2 - 3*p**3 + 26 - 24 to the form u*p + n + x*p**3 + r*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o + 4*o - 2 + 2 - 3*o + (1 + 1 + 0)*(-3*o + 2*o + 3*o))*(-24*o + 22 - 46 + 26).\nAnswer: 24*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 187379*t**4 + 16*t**3 + 3662312?\nAnswer: 749516*t**3 + 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + 34504?\nAnswer: 344a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 2*n - 2. Let t(h) = 2*h**3 - 9*h**2 - 10*h - 50. What is 5*f(s) - t(s)?\nAnswer: -2*s**3 + 4*s**2 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1094 or 1005?\nAnswer: 1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 459 = 432 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3050, -5238, -7412, -9566, -11694, -13790, -15848?\n\"Answer: c**3 + c**2 - 2198*c - 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113635*d - 113668*d + 693 = 0 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 717.2 at least -17917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19450622?\nAnswer: 2, 181, 53731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*m - 10 = 0, 0 = -4*r + 3*m - 11 - 3. Put r, -3, -4 in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k**2 - 4. Calculate the remainder when m(-3) is divided by (-179)\/30 - -6 - 25701\/(-1170).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 + 5)*14\/(-105))\/(-33 + (-64376)\/(-1950)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3590 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 15*w + 16*w + 1, 1 = 7*d - w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 11*i + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from {y: 4, b: 2, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 9*g + 25*g - 13*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((35\/7)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100506240 by 69796.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -227501241 and 5.\nAnswer: -1137506205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127927834.\nAnswer: 2, 63963917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + -3 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(448)*-1.\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*l - 70*l - 75*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccpcpcpp. Give prob of sequence pppc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00251881404 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8) + (-26)\/8*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/42 - (-4)\/(-14)) + (-33550)\/(-366) + -92?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or -743?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -104*m**2 - 71*m + 104. What is n(-2)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1 + (6 + 5 - 18)*(3 - 1 + 1))*(19 - 2 + 3)*(-5*t**5 - 2*t**2 + 2*t**2).\nAnswer: 2200*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) 5 (c) 0.03 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h**2 - 3*h. Let b(a) = -35*a**2 + 11*a. Calculate 6*b(l) + 22*m(l).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52911193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(2 + 120\/(-28) + 0). Factor 6\/7*p**2 + x*p - 18\/7*p**3 - 8\/7.\nAnswer: -2*(p + 1)*(3*p - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -94, 2659, -28?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(((-18)\/(-6))\/(-60))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 44633, 5, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25944851 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004746197619 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*(-10)\/30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6343 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4347*o**2 + 22417*o**2 + 43929*o**2.\nAnswer: 61999*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6607 + 160)*(0 - 2)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 14*c + 117. What is t(18)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1193, -2379, -3563, -4745, -5925, -7103?\nAnswer: -8279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 45*z**3 - 189*z**2 + 147*z.\nAnswer: -3*z*(z - 7)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 75, 100, 125?\n\"Answer: 25*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-11 - 0) + 262 + -259)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Suppose 4*w - 3*l + 76 = 0, -3*w + 0*l = -4*l + 57. Let v = 38 + w. Let u(k) = v*k**2 - 5*k**2 - 10*k**2. What is j(u(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**2 - b - 2. What is m(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b**3 + 48*b**3 + 15*b**3.\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1365 + 1372. Sort 0.1, 3\/10, -4\/5, i.\nAnswer: -4\/5, 0.1, 3\/10, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.4, -5, 2\/13, 4, -31 in increasing order.\nAnswer: -31, -5, -4, -0.4, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 33. Suppose 140 - 149 = 3*v. Sort -5, v, c in decreasing order.\nAnswer: c, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8601389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*p - 4*l = -104*p - 186, -3*l = -3. Suppose 3*k - n = -5*n + 305, 4*k + 5*n = 407. What is the remainder when k is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*y**2 - 23 - 5*y**2 + 23)*(318 + 30*y - 318).\nAnswer: 1500*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00485168 to four dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110418 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 4. Let k = 4 - 2. Suppose 0 = -5*q + 2*j - 6 + 24, -3*q - 2*j = k. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -5, 1591, -3 in decreasing order.\nAnswer: 1591, -3, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-260*b**3 + 44*b**3 + 62*b**3)*(-b - 2*b + b - 2) to the form r*b**2 + m*b**4 + k*b**3 + a + h*b and give k.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 12 = 2*c, -54*c + 5*v - 15 = -55*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1534 (base 6) to base 11\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let a(w) = -25*w. Calculate a(l(y)).\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-4)*j\/(j*j\/(((j*j*j*j\/(j**1\/j))\/j)\/j)*j*j))\/(j**(-6)*j\/j**(-1\/2))*(j**(-8)*j\/(j*j**(1\/2)\/j))**(-1\/15) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/18180670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) - (sqrt(2268) + sqrt(2268)*1 + sqrt(2268)))\/(-3*(2*sqrt(4) + sqrt(4))) + 4.\nAnswer: 4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -43*i - 345. Let j be g(-8). What is the smallest value in -2, j, 10, 0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/43))**(-26)*(h**14)**(-23) assuming h is positive.\nAnswer: h**(-13898\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - 2. Let f be (-2)\/7 + (-117)\/(-91). Which is the smallest value? (a) 0 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.134 - -53688490.\nAnswer: 53688496.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220092 is divided by 2223?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 19*x**2 - 34*x + 2. Let c be g(-17). Suppose j = -4*t - 1, -t - c*t = j. Solve -3*f = -4*f + j*z + 10, -2*z = -5*f + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-3 - 0) - -41. Let h be -2*(-4)\/(8\/j). Find the second derivative of -39 + 3*w + h - w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*h - 15092167 = 62047833. Round h to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -24346875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.23916 or 1?\nAnswer: -0.23916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(80\/44))\/(-5*6\/120)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 5.33 (c) 4\/9 (d) 4 (e) -2\/9 (f) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:31 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00328246726495 from 5.\nAnswer: 5.00328246726495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*l**3*p*z**3 - 1311*l**3*p*z**2 + l**3*p*z - 3*l**3*p - 14*l**2*z + 21*l*p*z wrt z.\nAnswer: -36*l**3*p*z - 2622*l**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 76 = 30. Suppose c + g = -3*r + 87, -r - 222 = -3*c. Calculate the remainder when c is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003015843497 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-3 + 0 + (4 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtnttntinv. Give prob of picking 1 n and 1 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -2*sqrt(2736) + 3.\nAnswer: -12*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1038.16399 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - 25 - 56. Let a(q) = -25*q**3 + 24*q**3 - r - 3*q**2 - 2*q**2 - 8*q. Is 14 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*v + 65*v + 36*v)*(3*v + 0*v + 0*v) to the form i*v + m*v**2 + o and give m.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 c when four letters picked without replacement from {c: 7, r: 2, p: 4}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.4 (c) -0.5 (d) 9374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*x + 58, -43*y + 42*y + 10 = x. Solve -s = -4*s + x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -38 + (-14 - -37) + -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) -3 (c) -0.2 (d) -14 (e) 30.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 314812*u + 9*u**3 - 314801*u + 629613*u.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 18 (b) 1.01 (c) 800 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 140, 275, 436, 629, 860, 1135, 1460?\n\"Answer: a**3 + 4*a**2 + 96*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -99. Solve 0 = z + 3*n + 17, 28 = -4*z - 0*z - q*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -15*r + 14*r. Suppose 38*j = r*j + 325. Let w = 67 - j. Solve 5*q - w*l = -7, 4*l - 6*l = q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120020 - 121?\nAnswer: -1120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/5 - (12\/(-60) - 9\/(-15)). Solve 3*c - q + n = 0, 21*c - 19*c + 5*q + 35 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8171.587ng to tonnes.\nAnswer: 0.000000000008171587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/94 and -47\/450.\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(-30)\/40 + -1*11. Sort -4, l, 7 in decreasing order.\nAnswer: 7, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 2*k + 2. Let a be u(2). Let x(b) = b**2 - 5*b - 4. Let c be x(a). Solve -4*d = -c*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 + 230. Let m = j - 42. Let s = m - 15. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -4 - (-22 + 17 + 14 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 3*t**2 - 100*t - 30. Determine i(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/7 + (-4)\/14. Let l be (a - 7)\/((-3)\/2). Let y be 1 - ((-4 - -2) + l). Is 1\/67 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 - -168. Suppose -j = -4*z - f, 3*z + 2*z + 3*f - 62 = 0. What is the remainder when z is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + z - 6*z = -241, 2*n - 160 = -3*z. Calculate the remainder when n is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1000110111100000011110001001?\nAnswer: -1000110111100000011110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(64)\/sqrt(2))**2 - (sqrt(200) + 1 + -1)) + ((-1 + sqrt(98))*2 + sqrt(98) + (sqrt(98) - (2 + sqrt(98)))*-1)**2.\nAnswer: -42*sqrt(2) + 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b3 + 4b383?\nAnswer: 50176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:31 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0\/(-11 + 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s - 9. What are the prime factors of a(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-28)\/10)\/(1\/(-5)). Let y be (2\/(-1))\/(2 - 1). Let v(w) be the first derivative of -w - 2. Let i(n) = n**2 - 6. Determine l*v(k) + y*i(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-467)\/15 - (-8)\/60. Let d = 54 + j. Suppose -3*f + d = -220. Calculate the highest common divisor of 27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u - 65261 + 11993. What is the highest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -16. Suppose -2*y - h = -4*y. Solve 10 = 3*z - 3*q - 2, 0 = y*z - q - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 9*b**3 - b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 7 - 7)*(t - 5*t + 2*t)*(20 + 2 - 36).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + -1 + sqrt(931) + sqrt(19)).\nAnswer: -36*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 4*f - 308 = 0, f = -4*x - 151 + 263 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**2*w*z + 421*s**2*w - 2*s*w - 7*w*z + 13*z with respect to z.\nAnswer: -s**2*w - 7*w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125389*o**5 + 5*o**3 - 11131447*o wrt o?\nAnswer: 2507780*o**3 + 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otmc when four letters picked without replacement from {m: 2, t: 1, c: 2, b: 1, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s + 0*s + (27*s - 12*s + 0*s)*(2 - 6 + 3))*(-4*s - 5*s + 3*s) to the form q + c*s + h*s**2 and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 - 4*l + 6. Suppose 0 = 37*z + 18*z + 14245. Let p = -255 - z. Give i(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -22. Suppose 0 = -3*a + 16 + b. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312 + -311.82. Let k = p + -0.18. What is the closest to k in 4\/7, 3\/8, 23\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:48 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1228*r - 68 - 212*r - 64 + 133 to d + i*r and give i.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9185599 to the nearest integer?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 not equal to 143060\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1697998791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 221663*w - 10196490. Give t(46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1647 divided by 42.\nAnswer: -549\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -457, -3 in descending order.\nAnswer: 1, -1, -3, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03576800959 rounded to six decimal places?\nAnswer: -0.035768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:32 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (60 + -52) - 20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 43*a**2 + 55*a - 145. Is 37 a factor of k(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:07 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7364 - 7346. Let i(s) = -s + 7. Calculate i(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6174.767 microseconds?\nAnswer: 6174767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*t + b + 128, -3*b + 149 = 5*t. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3404.922ng?\nAnswer: 0.000000003404922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 1.2. Suppose 0 = 5*o - 7*o + 2. Let y be 14 + -14 + -3*o. Which is the closest to 0? (a) u (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1718*a**4 - 2263.\nAnswer: -6872*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 41\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225*g - 96*g**2 - 81*g**2 + 2*g**2 wrt g.\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109.3 - 0.5\nAnswer: -109.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 412*b**2 + 16*b + 172. Let l be m(-14). Round l to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 + 7*w + 7. Suppose 3*v = i + 2 - 13, 2*v = -10. Let l be r(i). Calculate the highest common divisor of l and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116804615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 2. Let u(p) = -6*p + 56. Let o be u(8). Let v(n) = -1 - o*n + 9*n - 1 + n. Let w = -12 - -18. Calculate w*j(y) - 5*v(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -18 + 4. Let s be (3\/(-4))\/(63\/q). Suppose 0 = 5*t - 2 - 3. Is t >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3122*b**5 - b**4 + 46*b - 258.\nAnswer: -62440*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(612) - sqrt(612)) - sqrt(612).\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-50)*(-15)\/(-6))\/((-2)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 396824085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.523, 6, 2, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 7*p**2 + 16*p + 59. Determine m(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1282132\/25 - 51276. Let r = g + 376\/175. Which is smaller: 10 or r?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40496.\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:55 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:02 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3072)\/32)\/24*1*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249226, 496590, 743954, 991318, 1238682?\nAnswer: 1486046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 255 + -143. What is q rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7. Let u(l) = 1174*l + 28. Give 4*o(f) - u(f).\nAnswer: -1174*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40699434 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 12, 3, -9, -2, -4 in decreasing order.\nAnswer: 12, 7, 3, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 96133?\nAnswer: -17\/96133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -168985 divided by -2\nAnswer: 168985\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 7 + 5 - 46*m + 5 - 27*m.\nAnswer: -73*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 - 112 + z + 20 + (-4 - 1 + 3)*(-z + 5 - 5).\nAnswer: 3*z - 113","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 452475259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-105)\/(-25))*(-800)\/(-15). Suppose z*k = 61*k - 9. Sort -11, -2, k.\nAnswer: -11, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.09. Let l = x - 0.01. Let h = l + -0.0992. Round h to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 35739*b**2 - 3*b**3 + 35739*b**2 - 3*b**3.\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -22738\/53 <= -430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3377958 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -35*i + 44 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201034 (base 5) to base 16.\nAnswer: -18fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*h*n*y + 2*a**2*n*y**2 - 22*a**2*n*y + 1643*a*n + 11*a + 368989022*h*n*y**2 - n*y**2 with respect to h.\nAnswer: -2*a**2*n*y + 368989022*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000617431 rounded to six decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -69*g - 210. Let c be (46\/(-8))\/(8\/((-128)\/(-4))). List the prime factors of o(c).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -435.01577 + 435. What is m rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 564\/18 + (3 - 14\/6) and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -31. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 at most as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**2)*h*h)\/(h\/(h**(3\/5)*h))*h**(-6)\/((h\/((h*h**(-15)*h)\/h))\/h) assuming h is positive.\nAnswer: h**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*g - 11*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let u(x) = -36 - 2*x - 44 + 80. Determine u(m(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00017407598441 to 6 dps.\nAnswer: -0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 6. Let u be x(-4). Suppose 6*b + u = 3*b. Are -18 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2 = 4*o, -3*o = 5*p + 2*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663602516?\nAnswer: 2, 3, 29, 531163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ievesviyviv. What is prob of sequence eey?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -618, -592, -558, -516?\n\"Answer: 4*s**2 + 14*s - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*s**3 - 160*s**3 - 17968246987 + 17968246987.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/3 - 68*q**3 - 10198*q**2\/3 + 7004*q - 10609\/3 = 0.\nAnswer: -103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18481264 by -4.\nAnswer: -4620316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*k**2 - 286*k**2 + 347*k**2.\nAnswer: 589*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 408571746 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 + -84. Suppose -w = -5*l + 1, -7 + a = -w. Solve -19 = c + 4*d, l*d + 4*d + 22 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in 110, 0.2, 0, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 6.2. Let u = 35 + -37. Let m = z - u. Which is the smallest value? (a) m (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 98\/8 + (-5)\/20. Is ((-114)\/m)\/(3\/(-186)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**5\/20 + w**4\/2 + w**3\/2 - w**2 - 8*w + 2. What is u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 + 14. Suppose 3*h = 2*h. Suppose -k - 4*k = h. Let f be c(k). Calculate the greatest common factor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 2308\nAnswer: 15\/2308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2493, -2479, -2465, -2451?\nAnswer: -2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 646413197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79385.1624 - 0.001499.\nAnswer: 79385.160901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) -3\/7 (b) 77 (c) 4 (d) 3 (e) -13 (f) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -7535\/666 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15*m**2 + 4*m + 10. Let i be k(-4). Let n = 252 - 173. Suppose -5*v + i = n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*b - 31 = -0*b, 0 = 5*n + 4*b - 40. Let z(q) = q**2 - 4*q. Let u be z(n). Let g = 2 + u. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2821 take away -14?\nAnswer: 13.7179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 (base 13) in base 4?\nAnswer: 1022303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*17\/(255\/(-45)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.26 to the nearest integer.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 4*p + 4. Let t(i) = i**2 - i - 1. Let s(d) = -b(d) - 4*t(d). Let v(a) = 3*a. Give v(s(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*x - 5*x + 26, 0 = 4*m + 5*x + 46. Let r be 6\/m - (-4)\/(-3). Let f = 5 + r. Solve 0*p - 6 = 3*p - 3*l, 3*l = -f*p + 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2 + 30*x**2 + 20*x**2 + 13*x**2 + 2*x. Does 9 divide c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 6 + g**3 + 2 + 9 - 5 - 10*g**2. Give f(9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100 (base 6) in base 7?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.2, -0.4187, -45 in ascending order.\nAnswer: -45, -0.4187, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l + 2*l)*(75 - 75 - 14*l**2) + (-l**2 + 4*l**2 - 5*l**2)*(-5*l + 12*l - 4*l).\nAnswer: -90*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 216, 401, 586?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6950051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3*k - 5*a**3*o + a*k*o**2 + 36*a*k*o + 2*k with respect to o.\nAnswer: -5*a**3 + 2*a*k*o + 36*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -79, -0.1, -47603, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 1. Let n be (8\/3)\/(2\/27). Let b(v) = -95 + 89 - n*v + 33*v. Calculate b(y) + 4*z(y).\nAnswer: -7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/((-759)\/92))\/((-8)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15588614 to the power of 1\/2, to the nearest integer?\nAnswer: 3948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zze when three letters picked without replacement from {v: 4, e: 5, z: 7, a: 2}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -86 (b) 19 (c) 1\/4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {n: 3, c: 6, t: 2, b: 1, z: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*n - 339*n - 249*n + 164*n.\nAnswer: -770*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -130188.04 rounded to the nearest 100?\nAnswer: -130200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14237455 divided by -5?\nAnswer: -2847491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*m**3 + (0 - 1 - 1)*(m**3 + m**3 - 3*m**3))*(34 + 35 - 51) to the form q + h*m + l*m**2 + r*m**3 and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (-1)\/((-19)\/18 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*j + 2)*(-j - 5*j + j) + 0 + 0 - 2*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 4*i - 3*i + i**2)*(-4475022 + 10748*i + 4475022).\nAnswer: 10748*i**3 + 10748*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*o + 10968 = -1138*o - 28482 - 13887 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13\/(-91))\/((-242)\/(-462)))\/(15\/2).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3444 is divided by 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6499355411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*l + 106*l - 3*w = 55, -5*w = 16*l - 103 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**4 - 122 + 90*x**5 - 1008*x**5 - 3*x - x**4 wrt x?\nAnswer: -18360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.939845706 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24878 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/2)\/d*d\/d**(-1\/4))\/(((d**(-2\/7)*d)\/d*d)\/d**12) assuming d is positive.\nAnswer: d**(421\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/22 - (13 - 18)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32736 and 64139.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793 - 375 - 382 = 4*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50138 + 0.07?\nAnswer: 50138.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 360*v**2\/7 + 362*v\/7.\nAnswer: -2*v*(v - 181)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1126476 by 348.\nAnswer: 3237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1490c6b - 80?\nAnswer: -149101b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1856 and 83\/152640.\nAnswer: 4426560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 + -1)\/2 + -1. Let u(a) = -5*a**2 - 8*a + 2. Let t(b) = -6*b**2 - 8*b + 2. Let g(m) = 6*t(m) - 7*u(m). What is the units digit of g(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, g: 2, s: 7}. What is prob of sequence ggs?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-80)\/(-32)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Let m be ((-18)\/8)\/((-18)\/96). Let w be -2 - 0 - (-28)\/m. What is the nearest to 0.2 in -0.5, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -120, -492, -1118, -1998, -3132?\n\"Answer: -127*g**2 + 9*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242.2094 rounded to the nearest 10?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -35*m**3\/6 - m**2 + 38*m. Let w be a(1). Let t = 40 + w. Let f(k) = -4*k - 4. Calculate f(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5878*b + 1106*b - 1470*b to x + l*b and give l.\nAnswer: 5514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2146, -5\/6, -105?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 5*k + 24*k + (0 - 1 + 0)*(-5*k + 2*k + 4*k) - k + 6*k - 3*k - 3*k - k + 5*k + (-2*k + 3*k - 2*k)*(-2 + 0 + 0) - 2*k + 3 - 3.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541*j**2 + 3360*j**2 + 2549*j**2 + 2243*j**2 - 778*j**2.\nAnswer: 5833*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10126 and 1494?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511219.\nAnswer: 29, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87300281*r**2 - 94624715*r.\nAnswer: 174600562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1590, -5975, -13146, -23097, -35822, -51315, -69570?\n\"Answer: y**3 - 1399*y**2 - 195*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26241060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 116, -56, -228, -400, -572?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 3)*(-5*r + 3*r + r) - r - 4*r - 2*r)*(121*r**3 - 8203 + 8203).\nAnswer: -484*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2037, -2084, -2155, -2244, -2345, -2452, -2559?\nAnswer: -2660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 3 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2340?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -665, -1410, -2433, -3722?\nAnswer: -5265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 101076096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10657546 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9773 is divided by 103.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26056 is divided by 12958.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3176?\nAnswer: 6352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -201022002002000 (base 3) in base 2?\nAnswer: -100111000111111111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011282 * 205.\nAnswer: 2.31281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111892981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 614194\/121 - 5076. What is the second biggest value in 4\/7, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -0.2 (b) 0.03 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18*u**2 + 180*u - 159. Let m be a(9). Sort m, 0, -21, 4 in increasing order.\nAnswer: -21, 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2770397 + 2?\nAnswer: 2770399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*u + 2585 = 0, -u - 2*u = -3*q - 1572. Let o = -328 - q. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 5*a + 2. Suppose -5*k - x = 0, 3*x - 28 = 4*k - 9. Let f = k - -4. Give y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.78 (b) -0.0676 (c) 15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 23*n**2 + 557*n + 6272. Determine y(-34).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11344 (base 5) to base 6.\nAnswer: -3533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7655912?\nAnswer: 2, 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174405081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11279988.\nAnswer: 2, 3, 313333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.959168 to 2 decimal places.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 2)*(16 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**18*(y*y*y**(-12)*y*y)\/y*(y**22\/y)\/y**(-2) assuming y is positive.\nAnswer: y**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10906*n - 37628631 + 37628631 + (2*n + 3*n - 3*n)*(2 - 5 + 2) - n - 2*n + 2*n as r + x*n and give x.\nAnswer: -10909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 3, k: 13}. What is prob of picking 2 d?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -132. Let q be (-12)\/(-70) + 18\/k. Which is the biggest value? (a) q (b) -4 (c) 2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*f**3 - b**3*f*u**2 + 40*b**3*u**2 - b**2*f**3*u**2 + 877*b**2*f**2*u**2 - 3*b + f**3*u + u**2 wrt b.\nAnswer: 12*f**3 - 6*f*u**2 + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98847 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 961\/7 + -137. Let -4\/7 - 2\/7*p + w*p**2 = 0. Calculate p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 9*b**2 - 9*b - 11. Let h be g(10). What are the prime factors of 3\/h - ((-237 - 1) + 2)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 12*j**3 + 18*j**2 - 8*j.\nAnswer: 2*j*(j - 4)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + x + 28, -5*c + x + 35 = -0*c. Let q = c - 22. Let m = 36 + q. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -0.57, 4 in descending order.\nAnswer: 4, -2\/21, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -934470 divided by -103830.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -17502*c - 1271. Is j(-12) 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 dxxtxtttxttfmxmxgf. Give prob of picking 1 d, 1 g, and 1 m.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-5)*((c**6*c*c)\/c)\/c)**(-3\/26)\/((c*c**(-1\/2))**(4\/5))**23 assuming c is positive.\nAnswer: c**(-688\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.35, 1, -69, 1\/5, -3?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5532617*p + 5532592*p + 1025 = 0 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - s)*(30 - 30 + 25*s) - s**2 - 2*s**2 + 2*s**2 + (0 + 2*s + 0)*(-3 - 3*s + 3).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47895 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-6) + 1\/3. Let k be -12*1*j\/(-2). Let h be k\/14 + -4 + 3. Sort -0.2, h, 2\/15.\nAnswer: -0.2, 2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*7 - (2 + 0). Let n(h) = 451*h**2 - 2 + 440*h**2 - 892*h**2 - 16*h + 26*h. Calculate n(q).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + -0.368. Let k = w - -0.658. Let x = -0.22 - k. What is x rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144896?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 9:51 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -7.\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/883022 and 5\/189219.\nAnswer: 2649066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.192, -1, 0, 2\/7, 0.24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31\/108 - -1\/27. Let j = 55 + -53. Let a = j - 3\/2. What is the second biggest value in -2, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*s - 0. Let h = 34 + s. Suppose i - 18 = -k, -4*i = -0*k + 3*k - h. Solve 0 = -5*c - 2*g - k, 5*c + 9 + 16 = -3*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 14*c**2 - 8*c - 1. Let i be m(15). Suppose i = 5*b - b. Let x be b\/6*(-1800)\/(-6). What is x rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-4) - 5)\/((-3)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:30 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**6\/10 - m**4\/3 + 19*m**2 - 51*m. Differentiate o(h) with respect to h.\nAnswer: -12*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 350 in 1\/4, 59, -3\/5?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -21*j**2 + 8*j + 157. Let n(p) = -p**2 + 6*p. Let v(x) = -d(x) + 2*n(x). What is the derivative of v(k) wrt k?\nAnswer: 38*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1469.8566 - -1470. Let n = -0.18 + m. What is n rounded to 3 dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7200.79818 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19160 and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 10. Let y be h(-7). Suppose 93 - 11 = 4*l + 2*a, 0 = -3*l + 2*a + 65. Suppose -5*z - 6 = -l. Is y < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 49098 + 49098 - 5*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 32. Suppose -c*b - 12 = -3*b. Let r be b\/((-10)\/6 + 1). What is r rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1279894388 to the nearest integer?\nAnswer: 35776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-21)*d**12\/d*(d\/(d**(1\/3)*d)*d)\/(d*d\/d**13) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 27. Suppose -5*j = -5*f + 3*f + v, 4*j - 17 = -5*f. Solve f*u + 19 = -1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*o - 6121 + 6121)*(-2*o + 3*o - 7 + 3) in the form y + j*o + c*o**2 and give j.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((12*o + 16*o + 2*o)*(3*o + 0*o - 4*o) + 4*o**2 + 0*o**2 - 3*o**2)*(12 + 24 - 148) as f*o + r + u*o**2 and give u.\nAnswer: 3248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 divided by 6?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947\/(((-4)\/(28\/21))\/(-3)).\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 17. Determine z(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 455.32563696.\nAnswer: 454.32563696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 833.4 - 833.39. What is the nearest to g in 2, -4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06101 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106327*b**3 - b**2 + 2445*b?\nAnswer: 637962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -45*r**3\/2 - 251*r**2 - 107*r - 1. Differentiate l(h) wrt h.\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.3, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*m**(-19))\/(m**5)**(-9))**7 assuming m is positive.\nAnswer: m**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 521060 and 1042120.\nAnswer: 1042120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94352480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2326439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 2*l**2 - 2*l + 2. Let h be o(2). Let r(i) be the first derivative of i**3 + 2*i + 1. Is r(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 101*c**2 + 5*c - 6. Let g(t) = -40*t + 1. Let o be g(0). Let n be q(o). What is the greatest common divisor of n and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*r - 58 + 16. Solve -4*g - r = -g + 5*h, 18 = 3*g - 2*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) - 2\/216*3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 10*y + 10*y)*(-6*y + 4*y + 0*y) - 444356*y**3 + 88*y**5 - 2*y + 444356*y**3.\nAnswer: 90*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/257524515 and 79\/10.\nAnswer: 515049030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:13 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223 * -0.25.\nAnswer: 55.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2\/2 + 2697*p\/2 - 139230 = 0.\nAnswer: 119, 780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5057484, -5057498, -5057512, -5057526, -5057540, -5057554?\nAnswer: -5057568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -6, 2\/9, 14\/235, 1\/6?\nAnswer: 14\/235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0118447667484 minus -6.15?\nAnswer: 6.1381552332516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987 a factor of 2552416418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) + 6*(sqrt(3) - (sqrt(3) + 1))**2 - sqrt(3)))*-3*-2 - (-5 + (sqrt(297)\/sqrt(81))\/((sqrt(132)*-2)\/sqrt(12))).\nAnswer: sqrt(3)\/6 + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlpxbllxxpbnxnnxnnbq. What is prob of picking 1 q, 1 b, and 1 l?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535574133.\nAnswer: 3, 19836079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -28, -46, -64, -82?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509051 by 3.\nAnswer: -509051\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/19488 and 93\/3248?\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.06858348?\nAnswer: 0.27433392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10170 * 17\nAnswer: 172890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (2 + -3))\/2. Suppose 0 = -r + b + 1 - 17, -f*b = -r - 20. Is r at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*h = 3*x + 4, -5*x + h = -2. Let w be (1 - 2) + 0 + 0. Let c be (0 - -2)*5\/2. Put c, w, x in descending order.\nAnswer: c, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2442, 2439, 2422, 2385, 2322, 2227?\nAnswer: 2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 59\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12585.0332 to the nearest one hundred.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 + -23468266.\nAnswer: -23468474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233444125?\nAnswer: 5, 1867553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2125530 divided by -6270.\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 5. Let a be v(-6). Let l be 1 - (a - 1)*8. Suppose 0 = 5*r + 4*o - 186, 4*o = 2*r + 3*r - 154. Calculate the highest common divisor of r and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7460 - -7568. Solve -9*d + 36*d = -l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15ab (base 12) to base 4\nAnswer: -220103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449858?\nAnswer: 2, 224929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -716 - 710 + 1426 - k**2. Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13681835724 less than -4?\nAnswer: -13681835728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 9*u - 4. Let q be x(6). Suppose -3*c - q = -5*z - 0*c, 0 = -4*z + 2*c + 10. What is the units digit of z\/(-1) - (2 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-0.587.\nAnswer: -8.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6*(-10)\/(-15)*-18. Calculate the highest common factor of 20 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - 99. What is the remainder when 15 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1252 + 1211. Put r, -8, -2, -1 in ascending order.\nAnswer: r, -8, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyxyyaxxxyxynxynax. What is prob of sequence ynny?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 + 64*m**2 - 43*m + 67. Give v(-22).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1274 (base 8) to base 7.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c - 4 = -24*c. Sort 0, c, 2, 11 in descending order.\nAnswer: 11, 2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 3)*-2)**2 + sqrt(7) - ((sqrt(84) - (sqrt(84) + sqrt(84) + sqrt(84) + -2*sqrt(84)))\/sqrt(12))**2.\nAnswer: 64 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - b - 3. Suppose -5*p + 4 = 19. Let n(f) = 2*f**2 - f - 4. Calculate p*n(c) + 4*q(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 46*n - 1256. Let d be x(27). Sort 11, d, 5.\nAnswer: d, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94474235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9420*i*j**3*z**2 - 2*i*j**3*z + 4*i*j**2*z**2 - 148*i*j**2 + j**3*z + 4*j**3 + 10*j - 2*z wrt z.\nAnswer: 18840*i*j**3 + 8*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2 + sqrt(1573)) + -2)*3)**2*5.\nAnswer: 23760*sqrt(13) + 1134180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*-3*-5*(sqrt(128) + -4*(2 + sqrt(128)) + 6*(sqrt(128) - (sqrt(128) + 2)) + sqrt(128)))**2.\nAnswer: 5184000*sqrt(2) + 7387200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + 2*y**2 + 2*y - 2. Let u be (21 + -17)*(-14)\/(-8). Suppose 0 = 2*p - u - 7. Calculate the least common multiple of a(-2) and p.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j + s = 35*j - 601, -2*s - 29 + 27 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -18 - (-800 + 801)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**4 - 8. Let h(f) = -8*f**4 + 23. Let m(t) = -4*h(t) - 14*z(t). Differentiate m(p) wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 3.847.\nAnswer: 3.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-675))\/(((4\/(-10))\/((-20)\/(-25)))\/(-11))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = p - 78, -3*p - 2*y + 202 + 29 = 0. What is the greatest common factor of p and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13613882*f + 11452603?\nAnswer: 13613882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 8) in base 7?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - -251. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 203*h**2 - 8*h + 445. Let c(j) = 4*j**3 - 1016*j**2 + 44*j - 2225. Let l(z) = 2*c(z) + 11*r(z). Find the first derivative of l(x) wrt x.\nAnswer: -9*x**2 + 402*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-388*l - 177*l + 26*l)*(-1 + 2*l - 4*l + 0*l) in the form n*l**2 + f + v*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38489?\nAnswer: 11, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 1. Let q(m) = 3 + 3 + 2 - 2. Let f(k) = q(k) - t(k). What is the units digit of f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100000111001011011 (base 2) in base 5?\nAnswer: -100200031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-1520)\/1120*-63)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77237, 308955, 695151, 1235825, 1930977, 2780607?\n\"Answer: 77239*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -123, -244, -379, -534, -715?\n\"Answer: -f**3 - f**2 - 111*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, -141, -687, -1803, -3687, -6537?\n\"Answer: -33*f**3 + 12*f**2 + 21*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22280 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(3)*4)**2 - sqrt(33)\/(sqrt(176) - (sqrt(176) + (sqrt(176) - sqrt(176)*-4)) - sqrt(11) - sqrt(11)).\nAnswer: sqrt(3)\/22 + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -12 - 18. Suppose -2*d - 12 = -r*d. Factor 0*g + 0 + 2\/5*g**3 + 0*g**2 + 4\/5*g**d + 2\/5*g**5.\nAnswer: 2*g**3*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56122835.\nAnswer: 5, 211, 53197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 4*u + 3. Let q be (-45)\/(-12) + (-1)\/(-4). Let f be w(q). Suppose -f*h - 2*h + 180 = 0. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - j**2 - j + 33. Let n be w(-3). Let o(x) = x - 12. Give o(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 o when three letters picked without replacement from wiwqzqzaoqizqz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 612 - 368. Let p = 242 - t. Let n(l) = -2*l**3 - 4*l**2 - 4*l + 2. What is n(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1723664 divided by -107729\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5 - (-112)\/(-130). Let w = -1\/26 + i. Let s = 0.02 - 0.02. What is the nearest to s in w, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -274, -301, -330, -361, -394?\n\"Answer: -p**2 - 24*p - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + v = -11, 21 = -6*k + 4*k - 5*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose -5*l - 6 = 3*a, 2*a - 11 = -3*l - 14. What is the least common multiple of a and 3 + (9 - 1) + t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*1*-6.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5562980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157434 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*r + 12 = 222*r. What is the greatest common divisor of 16 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462090667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -555*w + 3234. Let z be r(2). What is the greatest common factor of 45 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.4 (b) 4\/7 (c) -0.3 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7*q + 9. Let w(l) = -l - 4. Let d(f) = 4*f - 20. Let j be d(5). Let o be w(j). Let h(y) = 3*y + 4. What is o*x(p) + 9*h(p)?\nAnswer: 4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by 521354.\nAnswer: -111\/521354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 6. Let r = n - 12. Let x(d) = -d**3 - d**2 + 3*d - 6. What are the prime factors of x(r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 4246, 16321, 40510, 80851, 141382, 226141, 339166?\nAnswer: 484495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/924 and -109\/24618.\nAnswer: 344652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -9. Let k = 6 - 10. Calculate the lowest common multiple of (11\/k)\/(u\/8) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h - 2*h - 6*h. Let p(w) = 61*w**2. Give u(p(a)).\nAnswer: -122*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 919 in -8, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0374 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzlz when four letters picked without replacement from {q: 9, l: 1, z: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.4 (b) -520 (c) -1170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 4. Let v be h(4). Let j(n) = -n + v*n + 0*n - n. Let t(d) = 58*d + 3762 - 1883 - 48*d - 1879. Determine t(j(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Let u be d*(7 + -3 - 3). Suppose u*r + r = -9. Let a(k) = -3*k - 3. Calculate a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4*3*1\/(-5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218370741 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 9*u - 1. What is n(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = 4*t, 10 = -4*t + t + 5*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20112 (base 4) to base 10\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5516.331 centuries?\nAnswer: 55163.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 + (-38 - -34 - 23) + (2 - 0) - 15?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1457 in -0.2, -1\/2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -263*u + 17. What are the prime factors of x(-51)?\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/9 + 2\/(1 + 0). Let d(h) = h - 1. Let l(a) = -4*a - 2. Let y(z) = -3*d(z) + l(z). What is y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 48*u + 1. Let f(k) = 49*k. Determine 3*f(l) - 2*s(l).\nAnswer: 51*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 12:03 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 1337.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 31, 84, 139, 196, 255, 316?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of ((-3)\/(-2))\/((-7)\/(-168))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 divided by 4964?\nAnswer: 109\/2482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006098369 rounded to six dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**3\/15 - 3*v**2\/5 + 3. Factor j(h).\nAnswer: -2*h*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 9.77317356?\nAnswer: 9.37317356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4014 (base 9) to base 13.\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**6\/180 - z**5\/30 + z**4\/4 - z**3\/3 + 6. Let w(l) be the third derivative of d(l). Is 9 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-580)\/(-60)) + -24\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 55. Let r = q - -40.4. Put 2\/13, r, 0 in descending order.\nAnswer: r, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.1. Suppose 3 = -2*z + 3*z. Let v(u) = -u**3 + 7*u**2 + 7*u + 7. Let o be v(8). Which is the nearest to o? (a) z (b) -2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = 7*v. Suppose 89*q - 92*q + 1110 = v. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 + 622.8. Is f >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(3 - 15\/6). Let c be 15\/4 - t\/(-16). Sort -2, -1, c in decreasing order.\nAnswer: c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23140, 48798, 74456, 100114, 125772?\nAnswer: 151430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 151355?\nAnswer: -151350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23245 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 478\/60 + -8 + (-10)\/75?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 484.00001131 + -484. What is p rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35, -31, -29, -29, -31?\n\"Answer: -u**2 + 7*u - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88686.4 micrograms in kilograms?\nAnswer: 0.0000886864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 33698.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6789594 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.841506 micrograms in milligrams?\nAnswer: 0.009841506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5526, -5573, -5620, -5667, -5714?\n\"Answer: -47*v - 5479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmbubjbjjbb. What is prob of picking 1 u, 1 b, and 1 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2275376, 2275375, 2275374, 2275373?\nAnswer: 2275372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.7 - -32. Let i be (6\/(-45))\/(1\/(-10)). Which is the second smallest value? (a) -4 (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*t = -12, -12*t + 13*t = 5*r - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncnhncxuxnxnnn. Give prob of picking 1 n, 1 x, and 1 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**7\/1260 + v**6\/360 - v**4\/72 - v**3\/36 - 18*v**2. What is r in s(r) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/11 - 26*h\/11 - 153\/11 = 0.\nAnswer: -17, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 10, n: 9}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 259245202 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 389705 and 1.\nAnswer: 389705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -21. Let k = w + 35. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-6) - 2\/(-6). Let b(c) = -c**3 + 8*c**2 + 17*c - 72. Let k be b(9). Suppose 0 = f + 2*f - k*f. Solve -d*u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023937 rounded to four decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**5\/55 - 4*n**4\/11 + 14*n**3\/11 - 18*n**2\/11 + 411. Suppose m(c) = 0. Calculate c.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55594866*g**2 - 76929824 wrt g.\nAnswer: 111189732*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/((-3)\/(-36)). Suppose 2*w - 3*v = p, -w - 4*w = v - 15. Solve -2*c + 17 = -w*j, -5*c + 5*j + 17 = -13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 10. Let z be s(8). Let q(l) be the first derivative of -3*l**2\/2 - 3*l - 3. What is q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.61, 0, -1, -9, -4 in decreasing order.\nAnswer: 0.61, 0, -3\/5, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.63896645 rounded to four dps?\nAnswer: 8.639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210613\/9480 + 1869\/79. Calculate the common denominator of b and 151\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103691 divided by -1.\nAnswer: -103691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -17411*f**2 - 15500*f**2 + 39141*f**2 as c*f + j + k*f**2 and give k.\nAnswer: 6230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 11}. Give prob of picking 3 r.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11490.91 rounded to the nearest one hundred?\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9005638 divided by -9005638.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2740*m + 2738*m - 120 = -4*p, p = m + 27. Suppose 90 - 332 = -2*z. What is the highest common divisor of p and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29913 (base 13) in base 8?\nAnswer: -231140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -1 - (-5 + -1)) + 737 + -646?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let r(a) = 3. Let u(n) = -2*n - 13. Let b(j) = 1. Let y(d) = 5*b(d) + u(d). Let f(w) = 5*r(w) + y(w). Determine h(f(m)).\nAnswer: 4*m - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c = 0. Let o(l) = -l + 2*l + c*l + l. Let v(m) be the third derivative of m**5\/20 - m**2. Give o(v(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (11 - 1668 - 1). Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35193*a**3*u**4 + 1958*a**3*u**2 + 5*a**2*u + 4*u**6 - 4*u**2 wrt u?\nAnswer: -844632*a**3*u + 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(891))**2*2 + -1 + (sqrt(11) - -6*(sqrt(11) - (sqrt(99))**2)).\nAnswer: -7723 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3454491 and 7503.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6728327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(8)\/sqrt(4) - (sqrt(162) + 1))*-3.\nAnswer: 15 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 12 - -10 - -38) + (-10 - (-1 + 3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*2)\/sqrt(2)*-4 + 2*(-2 + (-2 + sqrt(5) + 2*sqrt(5) - sqrt(5))).\nAnswer: -52*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64840 + -26805. Suppose -216*t - r = -221*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3, 9*n = 6*n + x + 572. Suppose -3*d + 285 - 1 = -4*l, -n = -2*d + 3*l. What is the greatest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20222 + 11022003?\nAnswer: 11001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q**4 + 456*q**3 - 688*q**2 + 312*q - 44 = 0. Calculate q.\nAnswer: 1\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27426.\nAnswer: 2, 3, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**6\/2340 + 7*o**5\/780 - 10*o**3 - 43. Let a(b) be the third derivative of g(b). Solve a(k) = 0 for k.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87.94 + -26746376273.\nAnswer: -26746376360.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4867*a. Let v(f) = -3434*f. What is v(r(s))?\nAnswer: -16713278*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prpcrnl. What is prob of picking 1 l and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-1)\/50*1). Suppose -4*s + s = -4*g - y, -3*s - g = -70. What is the highest common divisor of s and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-6) + (-120132)\/(-3834)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 4\/1125, -2.\nAnswer: -2, -0.3, 4\/1125, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1353065 + 14402?\nAnswer: -1335363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04623 + 105.30377. Let k = -107.989 - 0.011. Let b = k + z. Round b to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26973 and 333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 2\/19, -5, 37.113.\nAnswer: -5, -0.25, 2\/19, 37.113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -5*z**7\/14 - 33*z**5\/20 + z**4\/2 + 7*z**2\/2 + 2*z - 1186. What is the third derivative of q(v) wrt v?\nAnswer: -900*v**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -896\/23?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = 2*o + 17, 0 = 2*d - 4*o - 14. Let c = 4 - d. Which is smaller: c or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 13) in base 5?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144162 by -13.\nAnswer: -144162\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 - 2 + 2)*(-32 + 32 - 7*f + (0 - 14*f + 0)*((4 + 0 - 3)*(0 + 2 - 1) + 14 + 8 - 12)) in the form r*f**3 + z*f + q + h*f**2 and give r.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -819*d**3 + 2*d**2 - 55*d - 113. Is n(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpkp when four letters picked without replacement from pddkdkdkkpd.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 2\/3 (b) -1 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-33) + 4\/22. Let w be 3*(-1)\/(0 - p). Let j = -1897 - -1896. What is the third biggest value in j, w, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -120*m. Let d(o) = o + 80. What is c(d(h))?\nAnswer: -120*h - 9600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*u - 16, 3*n + 11 = -30*u + 26*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2547323133 + 1149.\nAnswer: 2547324282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1216 = -w, x = 4*x - w - 736. Suppose 10*c - 6*c = -h + 73, -c - 180 = -3*h. Calculate the highest common divisor of x and h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/2 - 7*v**3\/3 + v**2\/2 + v + 2. Let y be g(6). Suppose 90 = 13*n - 131. What is the greatest common divisor of n and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 63 = -5*q, -5*q - 43 = -4*u + 48. What is the units digit of (-2)\/q + (-53488)\/(-240)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*a + 3*a + 15, 47 = 5*w - a. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/13671 and -23\/4464.\nAnswer: 218736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/15)\/d*d*d**(1\/12)*d*d\/d**(1\/14)*d**(-3\/10))**(-1\/46) assuming d is positive.\nAnswer: d**(-239\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15090*r**3 - 2128?\nAnswer: 45270*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144 - -148. Solve -w*o - 3*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1780, 2010, 2242, 2476, 2712, 2950, 3190?\n\"Answer: j**2 + 227*j + 1552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 5:45 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 912?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49\/4 + 99\/8. Is r bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 0 + 4 - 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 m when four letters picked without replacement from knkmmnnknnmmmkn?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8109554?\nAnswer: 2, 41, 98897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9151671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*w + 4, 39*w - 38*w = s - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172326 = -720*r + 3510*r + 465276 for r.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26380 - 14810. List the prime factors of k.\nAnswer: 2, 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 201022?\nAnswer: 201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 8*d - 5. Let o be 0 + (2 - d) + 12. Let n = 25 - o. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -418.305 + -0.695. Let m = 415 + o. What is the second biggest value in 5.6, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 26. Let c be r(-13). Solve -2*s + c*s - d = 2, -4 = 2*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 - (0 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 839 + -492. What is the remainder when m is divided by 119?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2737 or -2717?\nAnswer: -2737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g + 65 + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h + 1. Let o = -7 + 5. Let n = 0 - o. Which is the second biggest value? (a) h (b) n (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 - 4*w**2 - w + 2. Let q be p(-2). Calculate the greatest common divisor of q and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5282 divided by -1611\nAnswer: 5282\/1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 899415063?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 24 = -4*t, -6*y - t = 17 - 23. Factor 2\/7*v**4 + y - 6\/7*v**2 + 0*v**3 + 4\/7*v.\nAnswer: 2*v*(v - 1)**2*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -2817\/16. Let u = 1717461749573\/2193678669024 + 1\/1752139512. Let f = 6\/313 + u. What is the common denominator of r and f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 172\/10 + (991 - 1006).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265 + -268. Let q = u - -51. What is the greatest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18695796 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28618 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 0*b - 8 + 0*b.\nAnswer: b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.2 in 2.3, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**2 + 6539*c + 2820567.\nAnswer: 6*c + 6539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-2 + (6 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251 a factor of 141414507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 195, -303, 3, -3, -2, -4, -1 in descending order.\nAnswer: 195, 3, -1, -2, -3, -4, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 302 in -1\/2, -2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 8*g**2 + 3*g**2)*(5 - 2 - 5)*(0 + 2 + 0).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2211 and -0.1?\nAnswer: -221.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-26)*(2 - 3)*24. Let q = 3 - -10. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974222.\nAnswer: 2, 3, 67, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 7 = 3*z, -5*z + 4*t + 747 = 726 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*f**2 + 348*f**2 + 201*f - 402*f + 201*f to the form y + b*f**2 + o*f and give b.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 2*z**2 + z**2)*(5*z - 2*z - z) - 3*z**3 + 25*z**3 - 3*z**3 + (3 - 3 + z)*(3*z**2 - 7*z**2 + 2*z**2).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69185 - 23624. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 86*i - 2579. Let l be t(30). What is the nearest to -2 in 2\/19, 0, 5\/8, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3297899 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2724997*g**3 - 2724945*g**3 - 2.\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/63 and 139\/29610?\nAnswer: 29610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 3. Let v be a(-6). Let z be v + (-159)\/(-33) - (-2)\/11. Solve 0 = c - z - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9101350?\nAnswer: 2, 5, 182027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -113*l**5\/6 - 3121*l**4\/24 - 5050*l**2. Find the second derivative of f(i) wrt i.\nAnswer: -2260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/4*(-40)\/24*8\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10669 by -10669.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 399768.7 + -400089.700042. Let n = d + 321. What is n rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13406*x = 13195*x - 1899 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(0 + -2 - -4) + 783?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -1735\/4, 9, 1\/4, -31, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 65, 86, 89, 68, 17?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4750963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*n**2 + 11*n**3 - 507*n**2 - 513*n**2 + 1539*n**2.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 80 = -0*c. What is the tens digit of c\/(-3)*72\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*j = -131 + 115, 2*g + 4*j = 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l. Let g(b) = -93 - 15*b + 196 - 101. Determine g(f(r)).\nAnswer: 45*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from vgvgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:40 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 22 = -3*w. Let v(o) = 51 + 11*o - 2*o + 2*o - 18 + 0*o. What is the units digit of v(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 3:13 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 27. Let a(n) = 123*n**3 - 3*n**2 + n + 1. Let y be a(h). Suppose -4*k = f + 43 - y, -4*k - 158 = -2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t**3 + 1615*t**2 + 405*t = 0.\nAnswer: -1\/4, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -409 + 507.6. Round r to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/77 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2\/(-4) + 3)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:27 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1363 less than -1363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -158 + 214. Let k = 6 + c. What is the remainder when k is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(4\/(-3)))\/1. Suppose -4*j - v*j + 1197 = 0. What is the common denominator of 47\/11 and (4\/(-6))\/((-24)\/j)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*s - 29*s - 27*s + 187*s to the form y + c*s and give c.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 273809.206 and -5.\nAnswer: -1369046.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00738 rounded to 4 decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*(-55)\/1650*45?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1389168 and 11460636?\nAnswer: 45842544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -116007, -116008, -116009, -116010, -116011, -116012?\n\"Answer: -n - 116006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14538 + -14538.1. Let o = 7 + -6.5. Which is the nearest to m? (a) o (b) -1\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**3 - 4*d**2 - d + 7. What are the prime factors of z(-3)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -74*y - 93. What is the remainder when q(-22) is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z - 3*n + 11, -2*n = 0. Let b = 12 - z. Suppose -19*x = -17*x - b. Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*s + 505 = -860 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 319.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + 0*n + n)*(15 - 103*n - 5 - 10) to the form g + z*n**2 + i*n and give z.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.909 - -0.091. Let f = -12 - -40. Let k = f - j. Which is the third smallest value? (a) -1\/4 (b) k (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)*k**(-21) assuming k is positive.\nAnswer: k**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/70)\/((-1)\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:43 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 589168, 589163, 589158, 589153, 589148?\nAnswer: 589143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*w - 58 = -0*w, w - 27 = -2*j. Let x = 131 - j. What are the prime factors of x?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -203, 1\/74, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0 + 0 + (-2 + 2 + 1)*(-3*s - 2*s + 3*s) + (-4 + 0 + 2)*(2 - 2 + 2*s) - s + 5*s - 2*s + 0*s + s - 4*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -33*v + 17. Let b be i(-2). Let r = b + -288. Let h = -739\/4 - r. Find the common denominator of -59\/24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42011444 (base 5) to base 4.\nAnswer: 1110020300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134 - -2608110?\nAnswer: 2608244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z**6)**40 assuming z is positive.\nAnswer: z**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + u - 14. Let y(t) = t**2 - 1. Suppose 3*m + 100*n - 99*n = -2, -10 = -5*m + n. Calculate m*f(z) - 6*y(z).\nAnswer: 2*z**2 + z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4334*f**3 - 716441*f + 716441*f + f**2 - f**2 + 3*f**3 + (-2*f**2 + 0*f + 0*f)*(5*f + 3*f - 6*f) in the form c*f**3 + i + t*f**2 + x*f and give c.\nAnswer: -4335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*t + 26*t + 3*t**2 + 3 + 23*t + (t + 0*t + 0*t)*(2 + t - 2) - 5*t**2 + 0*t**2 + 3*t**2 in the form i*t**2 + w*t + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 4*c**2 - 3*c + 3. Let t(k) = k**3 + 7*k**2 - 9*k - 11. Let i be t(-8). Let y be q(i). Solve 0 = -o - y + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526457227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*p - 9 - 1, -2*p + 5 = f. Suppose -20 = -5*l - 4*r + 12, -38 = -p*l - r. Let a be (-1240006)\/l + ((-15)\/4)\/(-5). Round a to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6749\/104044 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Suppose 0*h + 2*h - c = 16, h + 2*c - 13 = 0. Let p = -246 + 256. Suppose p + h = q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 9*z**2 + 7*z - 1. Let o be l(8). Let x be (4 - 2)\/((-3)\/o). Let j = x - -8. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -613, -617, -623, -631?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6457123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 689 and 25181.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1223, -2438, -3653?\n\"Answer: -1215*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3053108 - 105?\nAnswer: 3053003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*k - 34 = 0, 3*k + 21 = 3*m + 6*k. Suppose -m = -4*j - 5*h + 7*h, 0 = -j + 5*h + 24. What is the third biggest value in j, 5, 0.01?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1110433?\nAnswer: 1110434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q = -75*q - 342. What is the lowest common multiple of 18 and q?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3727.9 - 3728. Suppose n - 3*h = -102, -n + 3*h - 336 = 2*n. Is k < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 2:05 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a + 4 = 0. Suppose 1 = 5*h - a, -3*h - 13 = -4*v. Suppose v*t - 4 = 4*f, 0 = f + f + 4*t + 14. Which is smaller: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3041 is divided by 1025.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 3120330331111?\nAnswer: -3120330331113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-10))\/(2\/(-4))*5. Let s(l) = 3*l - 2. Let x(p) be the third derivative of p**4\/8 - p**3\/2 - p**2. Let c(j) = -6*s(j) + 5*x(j). Give c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.16643846 rounded to three decimal places?\nAnswer: -62.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -2. Let d = -8.3 + m. Let a = 45 - 45.5. What is the second biggest value in d, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 + 0*j**3 - 134 + 130 - j**2 - j**3 in the form w*j**4 + t*j**3 + y*j + f*j**2 + s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -2aa52?\nAnswer: 2aa56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/7 (b) -0.2 (c) -0.1 (d) 22 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 76?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841479028 to the power of 1\/2, to the nearest integer?\nAnswer: 53306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 165615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 44 = -4*c. Suppose -w + 3*v = -15, v = w - 0*w - 13. Suppose 2*m - 4*x + c = 7*m, -w = -5*m + 4*x. What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6855.7 * -1\nAnswer: 6855.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhsi. What is prob of sequence ih?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 804509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 574 + -280. Let m be (1 - (-2102)\/12) + (-49)\/n. What is m rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 10\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 4397*m**4\/3 + 8027*m. Let c(d) = -2*d. Calculate c(t(f)).\nAnswer: -35176*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49619*h**3 - 47457*h**2?\nAnswer: 297714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-216)\/96)\/(51\/8))\/(6942\/(-178)).\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 7*h**2 + 7*h - 8. What is o(-7)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 4*g - 3. Suppose 3*f - 4*f - 1 = 0. Let h(z) = 4*z**2 + 2*z**2 - 4*z**2 - z**2. Let v(s) = f*o(s) + 4*h(s). Determine v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 1, o: 2}. Give prob of sequence octo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 27*z - 151. Let p be a(-19). Solve 2*c - 7 - p = v, 3*v + 4 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbiibbi. Give prob of picking 2 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 2*m**4 - 6*m**4 + (860 - 9505 + 4875)*(-2*m**4 + 3*m**4 - 2*m**4).\nAnswer: 3768*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4602 + 614?\nAnswer: 5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 9*w**2 + 8*w + 2. Let a be v(8). Let p(c) = -5 + c**a + 4 + 2. Let l be p(3). Solve 0 = u - 5*f - 29, -f + 3*f - l = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*f - 982*f**2 + 20*f - 13*f - 20*f + 27*f in the form o*f + z*f**2 + b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2030\/3*i**2 + 1000\/3 - 32\/3*i**3 + 58\/3*i**4 + 1000\/3*i + 4\/3*i**5 = 0. What is i?\nAnswer: -10, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3130 + -3044. Calculate the remainder when 337 is divided by p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3511, 3548, 3559, 3532, 3455?\nAnswer: 3316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1623*n**2*z**3 + 2*n**2*z**2 - n**2*z + n*z**2 + 115 wrt z?\nAnswer: -9738*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 120*q - 29547 = 0. Calculate the greatest common divisor of q and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25610727 or -25610729?\nAnswer: -25610729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -150164 divided by -173?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/1*(705\/60)\/(-47)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c**(1\/2)\/c)\/c))*c)\/c)**31*(c**1*c)**(-33\/2)*(c*c**(-1\/4)*c*c**(1\/7))\/((c*c\/(c*c**(-2\/5))*c)\/c**(-2)) assuming c is positive.\nAnswer: c**(-11481\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 431421 (base 6) to base 4\nAnswer: 20220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -1005208?\nAnswer: -1005207.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4948, -1\/4 in ascending order.\nAnswer: -1\/4, 1\/5, 4948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.476 - 0.076. Let v = -21 + 18. Which is the second smallest value? (a) 1\/2 (b) -0.5 (c) v (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -3)\/((-1)\/(-8)). What is the common denominator of (-270)\/p*10\/25 and 43\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -5*k**4\/2 - 208*k**3\/3 + 302*k**2. What is the derivative of g(l) wrt l?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-80)*3 + 6\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/3)\/((-126)\/(-168))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12196485 divided by -5?\nAnswer: 2439297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*z - 6 = -9*w, -12 = -4*z. Let o = -4 - w. Suppose -g + 8 = -2*i - 5, 0 = i + 4*g + 2. Is i greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383087167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1498?\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1296242645 and -0.3.\nAnswer: -1296242645.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:34 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 39. Let z be (-4 - -15)\/(o\/(-22)). Let h = -119 - z. Solve 0 = h*x + 3 - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10459\/4 - (-10 - 645\/(-60))?\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -268*s - 118483. Calculate k(-439).\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -223, -499, -855, -1273?\n\"Answer: 3*w**3 - 67*w**2 + 2*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjj when three letters picked without replacement from {t: 4, j: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-42))\/(-4*2\/(-56))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.1. Let l = 63.2015 + -63.1415. Which is the closest to -0.1? (a) l (b) h (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 1, -556, 4 in descending order.\nAnswer: 4, 1, -62, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-5\/7)\/n)*n)**40\/((n**(1\/5)\/n)\/(n**5\/n*n*n)) assuming n is positive.\nAnswer: n**(5438\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 6. Let x(r) = 14*r - 26. Let u = 237 - 263. Let v(s) = u*i(s) + 6*x(s). Let z(n) = -3*n. Let b be (-1)\/2*3*-2. Calculate b*v(y) + 5*z(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/a**6)*a**(-25)*((a*a*a**6*a)\/a)\/a*a*(a\/((a**21\/a)\/a))\/a assuming a is positive.\nAnswer: a**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 915752565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*i - 2*i + 3*i + (-4*i + 4*i + i)*(5 - 3 - 4))*(2 - i - 2)*(-4 + 2 + 3) to the form q*i + c + d*i**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28125\/(-64125)*(-18)\/(-15).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1872104145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(0\/2 - -2). Let g be (-21)\/3*103 + t. What is g rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -962.\nAnswer: 1539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 351*y + 17919. What is d(-289)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -5*f + 9, -2*h + 5*f - 34 = 0. Let j(g) = -11*g**2 + 8*g + 8. Let n(u) = 5*u**2 - 4*u - 4. Let y(t) = 6*j(t) + 13*n(t). Determine y(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-5*2\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13193*b + 6466*b + 6699*b.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/832 and -29\/22464?\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*m = -0*l - 128, -2*l - 4*m = 232. Let h = 136 + l. What is the remainder when 81 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + j**2 + 3*j + 4*j - 32178*j**3 + 1 - 1 + 32185*j**3 to the form o + z*j + l*j**3 + r*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (2 - 4))*-2. Suppose 4*j - 60 = -j. Suppose i*y - j = -0*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730049 bigger than 1730053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350809011.\nAnswer: 3, 7, 5568397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 - 47. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, -0.4, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-131 - -88) + 47 - (-41 + -2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4*14\/27)\/(205\/(-280440)*114).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27790*d**2 + 4915 wrt d?\nAnswer: 55580*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zicdywi. What is prob of sequence wyc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.6 + -16.2. Sort 2, 0.2, r, 25.\nAnswer: 0.2, r, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6*k - 87. Suppose -16 = 3*f - 8*p + 3*p, -3*f + k = 4*p. Sort 2\/9, -1, f, -5 in ascending order.\nAnswer: -5, -1, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 17*j**2 + 540*j + 4240. Let x be h(-8). Suppose 0 = 5*g - 2 - 13. What is the biggest value in 1, 1\/4, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 - 3?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488134930 to the power of 1\/2, to the nearest integer?\nAnswer: 38576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 15408\nAnswer: 1\/7704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 41\/1 + 3. Which is bigger: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -36. Suppose -6*i - 14 + 38 = j. Find the third derivative of 11*z**4 - 11*z**i - 9*z**6 - 12*z**2 - 2*z**6 wrt z.\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110110 (base 2) to base 15.\nAnswer: 1e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 1.2. Let v = 0.1 + -0.1. Let y be 6\/(-8) - (124\/80)\/(-1). Sort v, w, y in ascending order.\nAnswer: w, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 10 - 15 + 1795*g**2 + 5 in the form o + t*g + r*g**2 and give r.\nAnswer: 1795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 (base 7) in base 16?\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = 0, 8225 = -4*v - v - 5*r. Let u = -1103 - v. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14471\/(-998))\/((-1)\/(-2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.94 to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 51*r - 256. Let x be n(-45). Solve 2 = x*t - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 2*o + 38, 2*q = 5*o + 18. Calculate the common denominator of -97\/6 and (12\/q)\/(3\/(84\/5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5420\/9 less than -0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a - 12 = 3*s - 40*a, -5*a + 20 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -31*c**2 + 1129*c - 28. Let y(h) = -9*h**2 + 376*h - 8. Calculate -2*m(d) + 7*y(d).\nAnswer: -d**2 + 374*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183728?\nAnswer: 2, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -19. Suppose 3*u = 5*h - 242, 18 = 2*h - u - 79. What is the remainder when h is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4281 or 4?\nAnswer: -4281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, 2, -3\/4, -2 in decreasing order.\nAnswer: 2, -0.21, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-48) - (-56)\/(-224)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 3 (b) -9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -603, -647, -673, -681, -671, -643?\n\"Answer: 9*b**2 - 71*b - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20136093841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 25*p**5 + 115*p**4 + 25*p**3 - 155*p**2 - 50*p + 40 = 0.\nAnswer: -4, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -1)\/(3\/15) + 3. Suppose w - 23 = -j. Suppose -23 = -4*o - 3. Put 4, w, 1, o in descending order.\nAnswer: o, 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 309*v**6\/40 - 41*v**4\/3 + v**3\/2 + 5784*v**2. What is the second derivative of o(i) wrt i?\nAnswer: 5562*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, 1 h, and 1 d when four letters picked without replacement from {w: 3, e: 2, d: 5, a: 3, h: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*z**3 - 104617*z**2 - 71340*z.\nAnswer: z*(z - 4756)*(22*z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= -38\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11511, 11508, 11503, 11496?\n\"Answer: -i**2 + 11512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11814 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-21))\/1)\/(4*48\/(-224)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34094 = 9*z - 9977 - 83477. What is the highest common divisor of z and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*g + 867222 = -38445. List the prime factors of g.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488776 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 15*a - 1. Let i(l) = -l**2 + 7*l - 1. Let b(r) = 2*g(r) - 5*i(r). Determine b(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 2*n + 2. Suppose -2*q + 4*b = q - 21, 0 = q + 2*b + 3. Let l be 1 - 3 - (q - 7). Determine s(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + b + 6, 4*j = 3*b + 10. Suppose 10*t - 5*t - 2*k - 3056 = 0, j*k - 2428 = -4*t. List the prime factors of t.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (30 - 36)*(-831)\/18 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 5\/(1720\/747). Let n = -2\/43 - h. Which is the nearest to -1? (a) n (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.432232 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 5*p + 3. Let u be v(-6). What is the remainder when 15 is divided by (-23)\/u - (-4)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 5*m**8\/14 - m**6\/6 + 7*m**4\/12 - 7*m**2 - 351*m. What is the third derivative of w(c) wrt c?\nAnswer: 2400*c**3 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938940801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t**2 - 10*t + 8. Let g(i) = -2*i + 2. Let r(p) = -3*d(p) + 12*g(p). Determine n, given that r(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 4*o + 4*o + (3 - 4 - 1)*(1 - 1 - o) + 0*o + 2*o + 0*o + 23 + 4*o - 23 + (3*o - o - 3*o)*(-2 + 6 - 3) to i + c*o and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 13*g + 9*g - 3*g)*(1 - 1 - 1).\nAnswer: 7*g + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 23*o**2 - o - 6. Calculate the remainder when v(-2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*c + 118*c + 89*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 137*p. Let n(f) = 3*f. Let b(x) = 17*x. Let s be ((-55)\/33 + 4\/3)*3. Let j(a) = s*b(a) + 6*n(a). Determine d(j(i)).\nAnswer: 137*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3558812.101 + 22.8\nAnswer: 3558834.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 7*r - 8. Let q be h(3). Which is the second biggest value? (a) 10 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/55)\/x)\/(x\/x**(2\/7)) assuming x is positive.\nAnswer: x**(-646\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10625*m*q*w**3 - 4*m*q - m*w - 6*m - 129*q + 5*w**3 + 1 wrt w.\nAnswer: -31875*m*q*w**2 - m + 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5 - 396*s**4 - 3342*s**3 - 2640*s**2 + 16875*s - 10500 = 0.\nAnswer: -5, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (522\/(-45))\/(-1) - (-2)\/5. Suppose 0 = -4*d + r + 20, d + u*r = 7*r + 5. Let t = -43 + 63. Calculate the greatest common divisor of d and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 20*y. Let q(d) = 8*d**2. What is p(q(m))?\nAnswer: 160*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. What is the tens digit of (-11)\/(33\/(-80)) + (-2)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2 - 24*d**2 - 13*d + 6*d**2 - d**3 + 15*d**2 + 18*d. Let z be (4\/(-3))\/(2\/6). Calculate u(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 2, 2379, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v + 3, -3*n + v + 16 = 0. Solve -2*d + 4*d + 4 = 2*g, 0 = -4*d + n*g - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*c - 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 28 = -17. Let h = 27 - l. Suppose -4*p - 12 = 0, 0 = 3*m - p - 0*p - 12. Solve m*s + h = 7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*m, 3*m = -0*m + 4*s. List the prime factors of (m + 1 - 1) + 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3*v - s + 121 = 0, -85 = -3*v + 5*s. Suppose 0 = -45*u + v*u + 1935. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 5, 1, 0.481, -2\/3, 0.06 in ascending order.\nAnswer: -3, -2\/3, 0.06, 0.481, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*u = -29*u - 18. What is the derivative of u*s**2 - 7*s**2 + 418 - 303 wrt s?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 3*h. Suppose 1 = 4*g - 7. Calculate x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*k + 633*k = 170*k - 67074 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116162656763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*((-2)\/(-8) + 2). Suppose 30 = 3*i + 2*j - 11, i + 3*j - n = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34302 times 4?\nAnswer: 137208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 3 (c) 1259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81498.000069037 - -81498. Round i to 7 decimal places.\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/8 and (-93)\/(-2)*(50\/27 - 2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 - i**2 + i**2 + (i**2 + 0*i**2 + i**2)*(-6 - 3 + 3) - 1 + 1 - i**2 - 4*i + 20*i + 17*i + 2*i**2 + (4 - i - 4)*(-i - 2*i + i) - 1 + i**2 + 1.\nAnswer: -12*i**2 + 33*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47723*x**3 - 23913*x**3 - 23811*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s. Let q(c) = -243*c**2 - 2*c - 20. Let j(l) = -143859*l**2 - 1185*l - 11850. Let d(a) = -2*j(a) + 1185*q(a). Calculate p(d(m)).\nAnswer: -1185*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - -1512?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-142 - -156 - 1*14)*2\/(-4). Suppose -3*d + 4*w - 6 = -6*d, 4*d - 8 = 5*w. Determine o so that y*o**d + 0 + 2\/5*o - 2\/5*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*v**3 + 106*v**3 + 2 - 109*v**4 + 2*v**2 - 5 in the form n*v**3 + m*v + s + o*v**4 + g*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*d**3 + 324*d**3 + 3*d**2 + 401*d**3.\nAnswer: 788*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.26 + 85.26. Let g = l - 111.5. Let k = g + 23. What is k rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 11:31 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 7*n - 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h - 35*h = -126 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37d - 18?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2224)\/420 + 1258\/(-9435)\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4, -o - o - 5*s + 16 = 0. Suppose -4*f + 6 - 13 = -r, 2*r - o = 4*f. Let i(x) = -5*x + 11. Let j(p) = p - 2. Calculate r*j(v) + 2*i(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5946620 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 12 = -10*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(160\/(-8)))\/((-20)\/(-15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90106651 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*k - k + 204, 3*k - 5*s = -595. List the prime factors of 8\/(-28) + k\/(-14).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10232 - -2?\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/378*-21*6\/16*-46?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -10\/3*a + 2\/9*a**2 - 32\/9 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -12*o**2 - 82848820*o + 55232552 = 0.\nAnswer: -6904069, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:38 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31202520 (base 7) to base 9.\nAnswer: 4836763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 28*r - 5*r + 12*r**3.\nAnswer: 12*r**3 + 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.608295 rounded to two decimal places?\nAnswer: 96.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -32610 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -319.5.\nAnswer: -322.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 1 l when three letters picked without replacement from {m: 2, l: 1, g: 1, n: 2, x: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/2))**18)**(-1\/5)\/(((v**3\/v)\/v*v)\/(v\/((v\/v**(1\/3))\/v))*(v*v\/((v**(1\/3)*v)\/v)*v)**33) assuming v is positive.\nAnswer: v**(-1357\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b. Let k(n) be the first derivative of n**3\/3 - 4. Give k(h(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4643414, 9286815, 13930216, 18573617, 23217018, 27860419?\n\"Answer: 4643401*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4)\/f*f)\/f**4)**(-5\/12)\/(f**(-2\/15)*f**1*f**(1\/2)*f**3) assuming f is positive.\nAnswer: f**(-29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15318900)\/(-612) + (249\/(-51) - -5).\nAnswer: 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 - 10*h - 23. Determine y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-78)\/(-8))\/(30\/80). Let k = r + -24. Let y = -9 + 5. Put y, k, 4 in ascending order.\nAnswer: y, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-144)\/(-120))\/((-3)\/430). Let i = f + 286. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 0, 3*h + 5*q = 3*q + 32485. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 14*i = 25*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*k**2 - k - 124*k**2 - 3*k**3 - 16*k**3 to l*k + q*k**3 + r*k**2 + u and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 767 + 84. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + (-256)\/(-24))*7?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 13*h + 3. Let q be m(-13). Solve 5 = 4*u - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i**2 + 0*i)*(0 + 1 + 2) - 12*i**2 + 10*i**2 - 20*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -5, -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1031?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + x = -337, 509 - 33 = 4*u + 4*x. Suppose -5*r + 184 = z - 302, r - 4*z = u. What is r rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -5*i**7\/42 + 2*i**6\/3 - i**5\/4 - 25*i**4\/6 + 10*i**3\/3 + 20*i**2 - 2*i. Factor f(w).\nAnswer: -5*(w - 2)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 + (-79600004)\/(-2). Round x to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 51.3. What is the nearest to -1\/3 in 1, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = n - 17, -2*n - 3*b - 7 = -26. Let l(d) = -8*d**n + 21*d**2 - 19*d + 19*d. Let w(r) = 3*r**2. What is l(w(h))?\nAnswer: 117*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/4)\/(2 + 283\/(-140)). Suppose d = 10*m - 15*m. What is the tens digit of m\/25 + (-2)\/10 - -103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 439\/8 + -55. Let n = 48 + -20. Let j be 4 + (-212)\/n + 3. Which is the biggest value? (a) u (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -1373\nAnswer: -24\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -33150000 to the nearest 1000000.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9470, 15173, 20876, 26579?\n\"Answer: 5703*f + 3767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7}. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-23)*p**(-1\/3)\/(p*(p\/p**(-5))\/p) assuming p is positive.\nAnswer: p**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 7*n = -50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 39.9 times 1\nAnswer: 39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmeaxv. Give prob of picking 1 a, 1 x, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-240) - 8\/6. What is the nearest to 0.06 in t, 1, 23, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58083 = -73*f + 54*f. Is f a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {z: 5, j: 3, r: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-42)*(-3 - (-21)\/9)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 + 3*l**2 + l**2)*(-l - 25 + 21*l + 25) in the form w*l**3 + x*l + b*l**2 + s and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 177*r + 8382. Give h(-49).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 0)\/(1\/(-1)). Let m = 13 + 13. Let d = -25.96 + m. Which is the third smallest value? (a) u (b) -2\/17 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/103 and -22\/309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*t + 29*g - 30*g, -20 = -4*t - 2*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21373858 and 1629.3.\nAnswer: -21372228.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ore when three letters picked without replacement from {r: 1, o: 2, n: 2, e: 1, l: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, 1.56, 2\/9, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = -4*q - 38*y - 22*y + 72*y, 11*q - 11 = 6*q - y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14223758.7 and -1.85.\nAnswer: 14223756.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6)*0 - -5. Suppose -k + w = 5*n, -k = -6*k + 3*n - 3. Solve -2*l - 6 - 2 = k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 5:44 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 43*v - 4610. Let c be p(110). What is the greatest common divisor of 10240 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43321 (base 5) to base 7.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p - 2*p)*(2*p - 2*p + p) + (-2 + 0 + p + 4)*(1 - 1 + 2*p).\nAnswer: -4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300\/613, 0.1, -5 in increasing order.\nAnswer: -5, -300\/613, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242\/(-7 - -8) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285571*q**5 - 6*q**3 - 106918436*q**2 wrt q?\nAnswer: 17134260*q**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-36))\/((-2)\/24). Find the first derivative of -28 + 27*r**4 - 6*r**n + 15 + 16 wrt r.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w + 1. Let z(r) = -7*r - 1. Suppose 410*q + 180 = 440*q. Determine q*a(x) + 5*z(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8*r + 64 = 0. Suppose -r*a**2 - 19*a + 0*a**3 + 3*a - a**3 - 3*a**3 = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -7\/480*t**5 + 0 + 13*t**2 + 1\/24*t**4 - 11\/960*t**6 + 1\/280*t**7 + 1\/12*t**3 + 0*t. Find z, given that d(z) = 0.\nAnswer: -2\/3, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2494 - -2586. Calculate the remainder when 649 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 1303*b + 7859 + 8401 + 844 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*4\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.637*-0.5.\nAnswer: -6.3185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -3*o + i, 2*o - 50 = -5*i + 22. Let g = -21 + o. Let h = g - -13. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*f - 27, -4*f - 2*f + 26 = -48*p + 47*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3953, 3962, 3977, 3998, 4025?\nAnswer: 4058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(462\/(-3890)) + 2\/(-33). Put 0.3, -2, t, -0.4 in descending order.\nAnswer: 0.3, -0.4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 + 2*p - 2. Let g be f(4). What is the first derivative of -24 + 0 - 11 - 8*h + g wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(((-6)\/(-9))\/(-8*(-1)\/(-6)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-868)\/(-220) - 4)\/((-11)\/(-55)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10274, -41143, -92590, -164615, -257218?\n\"Answer: -10289*u**2 - 2*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 2*g - 20. What is the biggest value in -1, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18 + 2)\/4 - -4. Suppose -3*a - 3*p - 6 = 0, p + s = -4*a - 2. Suppose -f = -a*f - 1259. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 11:21 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 9) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.6 and 0.09467.\nAnswer: -1.003502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*o - 12473 = -3338. Calculate the greatest common divisor of o and 2493.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/23912 and 37\/4448852?\nAnswer: 435987496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-5 + (0 - (-4 - -12 - 18)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289542485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 20*l**2 - 27*l**2 + 49*l**2)*(-3*l + l + 0*l).\nAnswer: -4*l**3 - 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cb9 (base 13) in base 14?\nAnswer: 32a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 29*s - 8. Let f be v(-19). Calculate the greatest common factor of 26 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117227 is divided by 529280?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 10. Let w be u(15). Solve w*n - 19 = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v + 38*v = 0. Let p(s) be the second derivative of v - 2*s + 1\/3*s**3 + 3*s**2. Calculate p(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x + 1. Let v(g) = 2*g**2 + 19*g - 17. Let a be v(-10). Let m be (-1 + 5)\/(6 + a). Calculate k(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -858132507.9 and 1.374.\nAnswer: -858132506.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1202 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:14 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.0884 minutes to seconds.\nAnswer: 8885.304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 p, and 1 i when four letters picked without replacement from ixptpgccg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**16*r**(-27)*(r\/(r\/(r\/(r*r*r**(-23)))*r))**(-36) assuming r is positive.\nAnswer: r**(-767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -112*n - 2709. Let z(s) = -18*s. What is z(b(m))?\nAnswer: 2016*m + 48762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v - 55*v - 770 + 340 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/(n**2*n*n))\/n)\/n)\/(n*n*((n*n*n\/(n\/(n*n**(1\/4)*n*n)))\/n)\/n))**(-3\/4)*(n\/(n\/n**2*n*n)*n**(1\/14))\/(n**(2\/7)*n\/n**(-3)*n) assuming n is positive.\nAnswer: n**(193\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 - 15 + 24)*(-v - 2*v + 5*v) + 6*v + 0*v - 3*v + 2*v + v - 4*v - 5*v - 3*v + 6*v + (-3*v + 4*v + v)*(0 + 1 - 3) as i + n*v and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/29 in -0.1, -30, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -411.1945 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*h - 2 + 546, -4*h - 5*g + 512 = 0. Let j = h + -55. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52302?\nAnswer: 2, 3, 23, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 553730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 1856798*w\/3 + 861924703201\/3.\nAnswer: (w - 928399)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2290750*d**2 - 458025 with respect to d.\nAnswer: 4581500*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 923 divide 349817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-75))\/(2\/(-12)*-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 530 + -554.3. Let h = 22.3 + j. Sort -10, 5, h in ascending order.\nAnswer: -10, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -25*k**2 + 1. Give o(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37179492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 95 = 2*z. Suppose 3*h = z - 7. Let l be 4 + (-7)\/(14\/h). Solve 0 = l*i + 3 - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 4. Let s(y) = -976*y - 1708. Let v(k) = -2*s(k) + 854*w(k). Let f(q) = 3*q**2. Determine v(f(z)).\nAnswer: 732*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -2312.83.\nAnswer: -2305.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150 + 158 = 6*s. What is the remainder when s is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 11*g**2 - g - 10. Let a be z(-11). Calculate the highest common factor of 4 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-32) - (-2)\/4. Let z be -12 - (2\/1 - (112\/28 - -9)). Is z at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1009791681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*4)\/(sqrt(16)\/sqrt(144)).\nAnswer: 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03564 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 14 = o, 0 = 435*o - 438*o - 4*j - 10 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 5*c**2 + 1959*c + 13798. Determine d(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) -0.5 (c) 0.037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**1\/j)))\/j**(1\/28)*j**(-3\/16)\/(((j\/(j**(13\/4)\/j))\/j)\/j*j))**9 assuming j is positive.\nAnswer: j**(2043\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:30 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 + 2*h + 2. Let p be c(-2). Let z be ((-12)\/14)\/((-1)\/7). Let r(m) = m**3 - 5*m**2 - 6*m + 1. Let l be r(z). Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p**3 + 2*p**4 + 0 - 1\/14*p**7 - 11\/10*p**5 + 156*p**2 + 0*p - 43\/40*p**6. Solve c(i) = 0.\nAnswer: -8, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 65264453 and 1?\nAnswer: 65264452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*u - 112*u - 50 = -228*u. Sort -3, -501, u in decreasing order.\nAnswer: u, -3, -501","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kckkkck.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 19 - 9 = 0, -t = -2*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + sqrt(11) + sqrt(11) + sqrt(22)\/sqrt(2)*-6 + 2 + sqrt(11)*1 + 2)**2.\nAnswer: -8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/7)*x\/(x*x*x**(2\/19)))\/((x*x\/x**(-1\/2)*x)\/(x\/(x*x**(-18)))) assuming x is positive.\nAnswer: x**(3411\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224994396 divided by 12.\nAnswer: 18749533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 220, 314, 404, 490, 572, 650?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*c**6*m*z**3 + 2*c**3*z**3 - 2*c**2*m*z**3 - 3*c**2*m*z**2 - 6*c**2*m wrt c?\nAnswer: 4080*c**3*m*z**3 + 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 + -84.99999665. Round i to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4 - 75*t**3 - 183*t**2 + 4635*t + 9450 = 0?\nAnswer: -15, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -21841.\nAnswer: -458661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {w: 1, e: 3, y: 2, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 9*c - 4 = 12*c, -3*z = -3*c + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18 + -10 + 29)\/((-1)\/(-5)). Which is the closest to -2\/5? (a) -4 (b) -40 (c) l (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2398267 is divided by 206.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 divided by 10854?\nAnswer: 179\/10854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 2345\/1579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-3 + 2 + 0) - 4 + 7 + 1 - 2 - 2 + 0)*(43*c**3 - 43*c**3 - 5*c**4).\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/20)\/(10\/25). Let r(n) be the second derivative of -3\/20*n**5 + 0*n**2 + 0 + 0*n**3 - n - 1\/12*n**i. Find the third derivative of r(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a minute in seconds?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 59, 43, 23, -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2074 (base 11) to base 16.\nAnswer: ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20215 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1656032km to millimeters.\nAnswer: 165603.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/((-12)\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37920 is divided by 18871.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3003 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33971 by 26.\nAnswer: 33971\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/(s*s**(2\/11)))\/(((s\/s**0)\/s*s*s)\/s)**22 assuming s is positive.\nAnswer: s**(-266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/7 + (12 - 7) + -4. What is the third biggest value in -50, 3, q?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -339217 (base 10) to base 3.\nAnswer: -122020022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*j - 45 + 26*j - 29*j - 2*j**2 wrt j.\nAnswer: -4*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.06 + -0.06. Suppose 5*t + o = -4, 384*t + 7 = 379*t + 2*o. Which is the closest to h? (a) 4 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -92*h - 1383 - 97 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/(-32)*(4\/25)\/(2\/5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 12:22 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253372 is divided by 187.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (5*(sqrt(228) - (sqrt(228) - (sqrt(228) + sqrt(228)*-2 - sqrt(228))) - sqrt(228)))\/(sqrt(132)\/(-1*sqrt(11)))).\nAnswer: -60*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45014 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*z**5 - z**5 + 2*z**5)*(9 + 1 - 1) - 121 - 110*z**5 + 121)*(3 - 1 - 3).\nAnswer: 119*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91225?\nAnswer: 5, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5376 is divided by 318?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 x, and 1 z when four letters picked without replacement from {y: 1, t: 2, z: 4, x: 2, u: 5}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 + 31123?\nAnswer: 30323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1953\/(-84) - (-1)\/(-12) and -59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 16234264?\nAnswer: 16234301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 299523851 less than 461993?\nAnswer: -299061858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 51406027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011955 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200321023 + 210303?\nAnswer: -200110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-8))\/1)\/(4\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -74. Put -17\/5, v, -4\/7 in descending order.\nAnswer: v, -4\/7, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 9:25 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = -2*w. Suppose -w*t + 2*l + 2*l = 204, -2*t = 5*l + 67. Let i be 2 - 2 - t - 1. What is the greatest common divisor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -50650, -52144, -53638, -55132?\n\"Answer: -1494*r - 49156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5084 (base 16) to base 13\nAnswer: 94c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)\/(m**(-2\/9)*m))**30)**(-1\/13) assuming m is positive.\nAnswer: m**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 11. Let d(r) = 2*r**3 - 3*r**2 + 2*r - 3. Let x be d(2). Suppose 4*a = -4, -5*t + x*a + 39 = -36. Let f be b(t). Sort -0.1, -0.5, f.\nAnswer: f, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6640 and 2331642640.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2859381 and 31?\nAnswer: 88640811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*t**3 - 19*t**2 + 155*t**3 - t**2 - 44*t**2 to the form i*t**2 + r + p*t + o*t**3 and give i.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9606*i - 150. Calculate f(0).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 12*y = -3510. Let h = 53 + y. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 511 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 3*z**2 + 3*z + 1. Let r be g(-4). Suppose 0 + 20 = 5*t. Suppose 0 = 4*f - 12, -r*f + 14 = t*n - 41. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1001 - 43369.\nAnswer: -42368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5*(1 + 4). Suppose -5*b - k*j - 60 = 0, 2*j = -b + 5*b + 48. Let c = b - -7. Round c to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = t - 9, -t + 3*s + 39 = -5*t. Let w be -3*t\/9*1. Find the third derivative of -5*f**w + 3*f**2 - 2*f**4 + f**4 wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -19047*h - 49. Let j be s(16). Let k = j + 167801. Round k to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17487 and 6844653.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q = q - 67*q + 260. Which is the biggest value? (a) 6 (b) -2\/15 (c) q (d) -2\/3 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 6*(sqrt(72) + 2*sqrt(72)) - sqrt(72))\/((sqrt(96)\/sqrt(4))\/sqrt(2)))\/((sqrt(264)\/(sqrt(16)\/sqrt(2)))\/(sqrt(132)\/(sqrt(12)*1))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*f**5 + 72*f + 194\/11*f**3 - 564\/11*f**2 - 432\/11 - 32\/11*f**4 = 0 for f.\nAnswer: 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-92)*16\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-105)\/(-14)*((-22)\/(-10) + -1). Let j(a) = -3*a**3 + c*a**3 - 5*a**3 + 6*a - 17 + 7*a**2. Let m be j(-5). Solve 0 = 5*l - m*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 394831*o**2 - 272980*o?\nAnswer: 789662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-104)\/(-12)*3*(-4)\/80 and -103\/26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:18 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 5*v - 5 - 9 + 2. Let b be x(-7). What is the nearest to 0.1 in b, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h - 20. Let p be i(-3). Is (2\/6)\/(p\/35550) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*z = -535*z - 5*o - 2, -19*z = -2*o + 61 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 18*m**2 - m**3 - 21 + 0*m**3 - 9*m - 16 + 28. Is 4 a factor of s(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**4\/4 + 13*f**3\/3 + 7*f**2\/2 - 12*f - 108. Suppose -3*a - 24 = -a. What is the units digit of g(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245015 by 49003.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 13*o**2 + 5*o - 8. Let x be 1\/(-3) - (-128)\/24. Let t be s(x). Let d = -197 + t. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 44*t - 53*t + 448 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 761, 6080, 20527, 48668, 95069?\nAnswer: 164296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.04 - -0.04. Let g = -41 - b. Is g <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - 2 - (-387)\/(-3225)*125.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 1 - (-1)\/(-1). Suppose f + 0 = q. What is the second derivative of 2*s + f*s**2 - s - 2*s wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -28*f**2 - 848*f - 240 = 0.\nAnswer: -30, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.195 - -38. What is y rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11380*k*y**2 + 10*k*y + 405*k wrt y.\nAnswer: -22760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4 - 13\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.396832*0.172\nAnswer: 0.240255104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*r - 0*i - 5, -5*r - 4*i = -45. Find the third derivative of p**2 + r*p**6 - 5*p**6 + 3*p**6 wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1. Let r(z) = -z**3 - 3*z**2 - 1. Let p(x) = 2*o(x) - r(x). Let b be p(-2). Suppose 0*i = 2*i, 4*v - b*i = 176. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167813449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2 (b) 4 (c) 0.7 (d) -3 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31756.\nAnswer: 2, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3360 - 3307*w**2 - 3*w**3 - 1036 + 3307*w**2 to a*w**3 + m*w + y*w**2 + d and give d.\nAnswer: 2324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1137*l**3 - 3404*l**3 + 1136*l**3 + 1133*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -5 - -4) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14698 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + 3 + (0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -152, -3, -5 in ascending order.\nAnswer: -152, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 358578 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/98987 and -33\/9401.\nAnswer: 1682779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -5, -0.1527, 1\/9, -3, 2?\nAnswer: -0.1527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 3, 29.902, 2, -3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -37807205.97 to the nearest 10000.\nAnswer: -37810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*x + 261*x = 131*x + 14, -4*c - 90 = -5*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, r: 2, s: 1, j: 2}. Give prob of picking 1 j and 2 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.036 + -0.536. Let l = -0.1 + 2.1. Sort m, l, 0.01 in descending order.\nAnswer: l, m, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-9) + (-3876)\/(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233\/5 + 47. What is the biggest value in i, -5, 2\/3, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-485)\/(15\/(-3)) + -7. Let s = 184 + d. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*t - 140 = 0, 12 = -9*t + 13*t. Let m = c - 140. Let k(z) = -2*z - 4. Let s(j) = -1. Let r(g) = -k(g) - 2*s(g). What is r(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 32 + 12 = -4*f, 16 = 2*f + 2*j. What is the derivative of 2 + 0 - 16*n - 18*n**f + 16*n wrt n?\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12453804 + -2506?\nAnswer: -12456310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 23212?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/2? (a) 0.1 (b) -3\/7 (c) 2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - -6) - 4 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 367 and 31929?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c - -1ca77?\nAnswer: 1ca4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2. Suppose 4*y - 7 = 17. Let n(j) = y*j - 1 + 1. Determine n(s(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*o - 0*o - 42, -41 = -2*v + o. Let c be 12\/(15\/v - 0). Solve 4*r + 0*r + c = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1743, -1710, -1621, -1476, -1275?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205) + sqrt(2205) + sqrt(2205) + 2*sqrt(2205) + sqrt(2205))\/((-2*sqrt(90) - sqrt(90))\/sqrt(10)).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**2. Let f(p) = -p**3 + 2*p**2 + 4*p - 3. Let u be f(3). Let w(y) = -2*y + 0 + u. Give w(k(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3428 (b) 0.1 (c) 0.0014 (d) 5 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 - 3*p**2 + 9*p + 2. Let n(x) = -5*x**3 + 2*x**2 - 8*x - 2. Calculate -7*j(g) - 6*n(g).\nAnswer: 2*g**3 + 9*g**2 - 15*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*104\/4 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-175)\/15 + (-2)\/6. Suppose -2*k = -85 + 111. Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 5:13 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1879 + -1149. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167*g**2*u**2 - 1846*g**2 + 2*g*u**2 wrt u?\nAnswer: 334*g**2*u + 4*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Let j = -5 - -12. Suppose q*a + 25 = j*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxxxxxnkoofx. Give prob of picking 2 x, 1 n, and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + 4. Suppose d*g - 172000 = 20*g. Round g to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**1)\/y)\/y**(-9))**(-8)\/((y**8*y**8)\/(y**(1\/2))**(-4\/5)) assuming y is positive.\nAnswer: y**(-522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/12 - 3*v**3 - 2*v**2. Let k be s(15). Solve 2*m = -m - k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955bb (base 12) in base 7?\nAnswer: 1444541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5271211 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c + 58*c = -4*s + 21878, 5*c = -4*s - 109462. What is c rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1 - 2*j**2 + 15*j - 4 - 3*j**3 - 8 - 3. Let c(d) = 2*d**3 + d**2 - 10*d + 9. Let w(n) = -8*c(n) - 5*l(n). Let a be w(3). Solve 3*o + 5 = -a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-21) + 2\/6. Suppose -a = -k*z + 18, -a - 9 = 2*a. What is the third derivative of -7*p**5 - 7*p**2 + z*p**2 - 4*p**5 - 6*p**2 wrt p?\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -123*u**3 - 53*u + 6. Let n(g) = 123*g**3 + 54*g - 8. Let x(c) = 3*n(c) + 4*s(c). What is the second derivative of x(h) wrt h?\nAnswer: -738*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81499 - -569208\/7. Let s = f + 183. Which is the nearest to -2\/5? (a) -1 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = l - 5*l, -3*c + 10 = -l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 643851656 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 17 = -18. Let q(b) = 15*b**2 - b - 1. Let n be q(3). Suppose -w = u - 23, -3*u + n = 2*u + w. Calculate the remainder when u is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36824349 by 3.\nAnswer: 12274783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2\/7*o**3 + 6\/7 - 6\/7*o**2 - 2\/7*o = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0423 times -1\nAnswer: -0.0423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 975775 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b**3 - 53*b**2 - 27*b + 43. Let k be j(17). Suppose 3*f + f - k = 4*y, -4*f + y = -28472. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:31 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978100 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {f: 1, y: 1, t: 6, e: 7}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let o be k(6). Let a = o - -13. Calculate the remainder when a is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -0.2, -4, -2\/65, -0.037 in increasing order.\nAnswer: -4, -0.2, -0.037, -2\/65, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1 - 16*w - 35*w + 0*w + 47*w. Let q be ((-2)\/((-4)\/(-10)))\/(-1). Give u(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 216? (a) -21 (b) 3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-360)\/(-100) - 2*12\/40. Which is the third smallest value? (a) -53 (b) -0.01 (c) -0.5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12944)\/(-24) + 6 - (-2)\/3 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 1 - 8 - (-54 - 30)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4248 and 1835136.\nAnswer: 1835136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/2212 - -313\/176960. Let i = 3873\/320 - n. What is the common denominator of i and 7\/63*-5*(-1 - (-318)\/12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11214716 is divided by 1947.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3561115 to the power of 1\/2, to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200309 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5004*d**3 + 15*d**2 - 30*d - 45. Let p(m) = -m**3 + m**2 - 2*m - 3. What is 3*c(r) - 45*p(r)?\nAnswer: 15057*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -186, -263, -340, -417, -494?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 826703.9t in milligrams?\nAnswer: 826703900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 41.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*18\/((-5)\/((-945)\/42))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2781 divide 1016013130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/3382176 and -113\/724752?\nAnswer: 10146528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 0*g - 4*g)*(3 + 0 + 0)*(-1 - 4 + 4)*(-19*g**2 + 3 - 3) to z*g**2 + d*g + r + l*g**3 and give l.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 8)*1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863383793 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7205 = -569*b + 2781 + 13912 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7944*d**2*g*j**2 - 4*d**2*g + 3*d**2*j + 24*d*g*j - 408*g*j**2 wrt d.\nAnswer: -15888*g*j**2 - 8*g + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924.6226t to micrograms.\nAnswer: 924622600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 15}. Give prob of sequence dddd.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5007)\/4 - (-2)\/(-8). Let l = -871 - q. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 27*m**3 + 3*m**2 + 26*m - 37. List the prime factors of w(5).\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -17199?\nAnswer: -17195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -347*o + 1820 - 914 - 909 to a*o + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dinn when four letters picked without replacement from {i: 1, h: 3, e: 1, n: 4, t: 5, d: 3}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 - (-1 - 153) - (10 + (2 - -1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25458608 divided by -9883?\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 89272 (base 12) to base 13\nAnswer: 649a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1650 and 50\/22413391.\nAnswer: 3362008650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10)*(-68750)\/12375\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -230821 + -0.1?\nAnswer: -230821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 853692034 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3698*p**3\/7 - 184475246*p**2\/7 + 25740678*p\/7 - 897930\/7 = 0.\nAnswer: 3\/43, 49885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 289 and 0.35.\nAnswer: 289.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by 3819.\nAnswer: -143\/3819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -47944?\nAnswer: -1390376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 45*t - 333. Determine k(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/20 and 91\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*v = 2*s - 243 + 211, 8*s = v + 52 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**5\/60 + g**2. Let f(x) = -16*x**2 + 7*x. Let l(t) = -49*t**2 + 20*t. Let b(q) = 11*f(q) - 4*l(q). Determine n(b(h)).\nAnswer: 400*h**4 - 120*h**3 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*v - 10*v - 48*v to u*v + g and give u.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/4 - 575*f**2\/4 - 110075*f\/4 - 7016125\/4 = 0.\nAnswer: -205, -185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 + 10 + -2 + (4 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let c be -2 + 1 - 3\/(-3). Suppose c*q = 2*q. What is the second smallest value in -1, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (3*((sqrt(120) - -1*sqrt(120))\/sqrt(2))\/sqrt(12))**2 + -3).\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/4 - (-1)\/(-4). Suppose -105 = -3*z - 2*x, -39 = -b*z + 4*x + 31. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + (sqrt(700) + -1)*-6 - (sqrt(700) + -4 + (sqrt(700) + (sqrt(700) - (sqrt(700) + 1)))**2 - sqrt(700) - sqrt(700)).\nAnswer: -691 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**6\/120 + 47*d**3\/3 - 2. Let k(a) be the third derivative of i(a). Let b(w) = 164*w. Give b(k(c)).\nAnswer: 492*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 116.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/120 - r**5\/20 + 3*r**4\/8 + r**3 + 21*r**2. What is the tens digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 201 = 87 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*r + 15577571*k - 14969761*r wrt k?\nAnswer: r + 15577571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17806.52 - -17808. Sort u, -2, 0.4, 0.5 in increasing order.\nAnswer: -2, 0.4, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44\/3 - -121\/6. Let n = s - 185\/34. What is the common denominator of n and -10\/11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -606112*l*t**2*w - 2*l*t**2 + l*w - l - 154*w - 2636 wrt t?\nAnswer: -1212224*l*t*w - 4*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215)\/516*(28\/(-10))\/(-7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -5*y**4\/12 + 80*y**3\/3 - 875*y**2\/2 - 6250*y. Let h(o) = 0. What is o?\nAnswer: 7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*f*i**2*x**3 - 28993*f*i*x + 2*f*x**4 - 2*i**2*x**2 - i*x**2 + 360*x**4 - 2 wrt x.\nAnswer: -696*f*i**2 + 48*f*x + 8640*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 170. Suppose -j*m + 114*m - 573 = 0. What is the remainder when m is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112103777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4 (base 12) to base 4.\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b**2 + 3*b. Let l(p) = 42*p**2 - 10*p. Suppose -4*m + 27*c - 32*c + 17 = 0, -c - 14 = -5*m. Calculate m*l(j) + 10*y(j).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1783*o + 1781. Determine t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1095, 538, 53, -360, -701, -970?\n\"Answer: 36*t**2 - 665*t + 1724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a - -1?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8806 divided by 17.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 106281031679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7 times 4052?\nAnswer: 55512.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 266 - 171. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 + 16*n**2 + 1\/3*n**4 + 4*n**3 + 80\/3*n.\nAnswer: (n + 2)**3*(n + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70090911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0075? (a) -1\/8 (b) -18 (c) 2\/9 (d) -0.2 (e) 243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-2*q + q + 3*q)*(-9*q**2 + 17 - 17).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t - 6. Is b(16) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 11*z**3\/6 - 17*z**2\/2 + z. Let i(g) = -2*g + 3. Let d(t) = -34*i(t) - 6*n(t). Let b(q) = -2*q. What is b(d(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 280820224 a multiple of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1402*115\nAnswer: 16.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6989505, 13979013, 20968519, 27958023, 34947525, 41937025, 48926523?\n\"Answer: -o**2 + 6989511*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3924 - 3923.9. Sort 1\/7, 0.4, z, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.4, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**(-7\/2))))\/a**8*(a*a**(3\/5))\/((a\/a**(5\/7))\/a) assuming a is positive.\nAnswer: a**(-83\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1716 and 119\/1716.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 57. Let q be d(6). Differentiate -133 + 136*b - q + 13 wrt b.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 832221964 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18367 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 51, 110, 193, 300, 431, 586?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 c when three letters picked without replacement from eehceneenheeqeeetec.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 84 + 383 = 0. Let o = y - 142. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4)*w**(2\/7))**(2\/95) assuming w is positive.\nAnswer: w**(-13\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*s - 421 = 891 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 33*u + 20*u = 0. What are the prime factors of ((-7210)\/20)\/7*(-30 - u)?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77055991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 10*p - 1. Let u(t) = 5*t**2 + 41*t - 4. Give 4*u(a) - 18*v(a).\nAnswer: 2*a**2 - 16*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 386 = 0. Suppose -u + 53 = -5*t. Suppose 5*s - t = 42. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 a factor of 2959686065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80017 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-4)))\/(o\/(o\/o**(-1\/39))) assuming o is positive.\nAnswer: o**(-155\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10000)\/(-75))\/20)\/((-4)\/(-9))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -28*p - 23. Let n(d) = -1144*d. Give k(n(b)).\nAnswer: 32032*b - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 12*r**2 - 12*r - 9. Determine o(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13732274 + 13732252.9549152. Let w = 0.0439848 + k. Let t = w + 21. What is t rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-8) - (-40)\/(3840\/56630508) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43 + -0.07. What is p rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 10 = 0. Suppose -3*k = -d*c - 32, -k + 2*c + 3 + 7 = 0. What is the remainder when 25 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -19. Sort 0, v, -1, 10 in ascending order.\nAnswer: v, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10853*x**2 + 3*x. Let p(t) = 4*t. What is p(u(k))?\nAnswer: 43412*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Let p be w(-3). Is (-1)\/((p\/(-139))\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 26*z**2 + 6 - 23*z**2 - 2 + 22*z**3 - 11*z + 14*z to the form o + l*z**3 + a*z + n*z**2 and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from bzhhldd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 13. Let n be 5 - 1*(0 - -3). Suppose -4*j = -2*m - w, j = -m + n*j. Solve -3*d + 2 = -4*g - 14, -d = g + m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12213 - -0.13. Round f to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 12624\nAnswer: -37872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auad. Give prob of sequence adua.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.2, 3, 9, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49023 - -196097\/4. What is c in -h + 7\/4*c**3 + 17\/4*c - 19\/4*c**2 = 0?\nAnswer: 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -327 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-768)\/576 - (-1)\/((-3)\/(-47416))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + 2*s)*(-5 + 9*s + 5).\nAnswer: 18*s**2 + 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4128*n**6 - 808*n**2 wrt n?\nAnswer: -495360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 89*j**3 - 11*j**2 - 13*j - 3. Determine b(-1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-64)\/(-6) - 10)*((-37)\/(-17) + -2). Which is the third biggest value? (a) m (b) 2\/223 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/6 + r**3\/6 + 2*r**2. Let t be (-676)\/20 + (-48)\/15 + 3. Let g = -37 - t. Determine h(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1345*y + 122 - 115 - 7 to a*y + m and give a.\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 131 + -131.0000026. What is j rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*a - 1174*a - 1075*a = 2393*a - 47688 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 6*b**2 - 7*b - 5. Let o be m(-5). Let i = 21 - 31. What is the common denominator of o\/i + (-146)\/16 and 13\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(6\/(-24)*-4). Suppose 0 = 3*g + 4*r - 53, -5*g - 5*r + 70 = -g. Let s = 10 - g. Put s, -4, a in descending order.\nAnswer: a, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 3\/7 (c) -7368.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 10*a - 1179 - 113 = 0. Let j be 10\/(-2 - -4) - 1. Calculate the greatest common factor of j and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)**(-16)*(n*n**(3\/8)\/n*n)**(-2\/29))**33 assuming n is positive.\nAnswer: n**(122133\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4978*b**2*l - 13804*b**2 - 484970*b*l - 2*b - 3*l wrt b.\nAnswer: 9956*l - 27608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 546?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 28, 56, 84, 106, 116?\n\"Answer: -n**3 + 9*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000351571 to six decimal places.\nAnswer: -0.000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:47 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s. Let g(h) = -h**2 + 18 - 37 + 19. What is o(g(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -1\/45*d**6 + 1\/6*d**4 - 1\/9*d**3 + 2*d + 1\/30*d**5 - 2\/3*d**2 + 0. Let b(a) = 0. Calculate a.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 42. Let l = t - 70. Let o = -90.15 - l. Round o to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2036 + -2032. Let s(h) be the first derivative of 1\/4*h**r + 0*h - 7\/2*h**2 - 8 + 2*h**3. Give s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/2936374 and -123\/81379508?\nAnswer: 569656556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/90680805 and 10\/103851.\nAnswer: 997488855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:02 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s**3 + 2*s**2 - s - 3. Let h(c) = -c - 5. What is the remainder when i(3) is divided by h(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2650 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880281499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1134418626.856 and -0.087.\nAnswer: -1134418626.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2022228 divided by 6\nAnswer: -337038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/28)\/((-6)\/14). What is the second smallest value in k, 2, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 0.3 (c) -0.5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 40 = -7*v. Let z = v - 10. Suppose -13 = -a + 5*m - 0*m, z = -2*a - 4*m + 26. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*l + 2*l - 17, -2*l = -2*t + 38. Suppose 0*a - 12 = 3*i - 2*a, a + t = -3*i. Let s(r) = -24*r + 5. Is s(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -a?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Let l be s(-5). Let c = -13 + 15. Suppose c*g - 33 - 11 = 0. Solve -2*i + g = 2*d + 2*d, 0 = -2*d + 4*i - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcxc when four letters picked without replacement from {w: 3, g: 1, c: 4, x: 2, z: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1786 - 1766 - (2 - 2 - -17) - (-1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-7)\/(-6)*3. Let x be (-4)\/6 + a\/(-21). Suppose -2*f + 6*f = 0. Solve x*m - 4*m - 4 = f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoloaaaolqlll. What is prob of sequence oqla?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*c - 42. Let w = c - 10. Suppose w*u - 169 - 19 = 0. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56b45 (base 12) to base 8.\nAnswer: 341745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -2, 3, -942, -4 in descending order.\nAnswer: 3, 1, -2, -4, -5, -942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - -4*sqrt(72)\/sqrt(3) - (sqrt(1944)*2 - sqrt(24)))\/(-4*1*sqrt(972)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -123 - (-4204 + 4257).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258788, -258790, -258792, -258794, -258796?\nAnswer: -258798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.03164 nanometers in micrometers?\nAnswer: 0.06903164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*j - 21 - 15 = 0, 5*j = -40. Calculate the lowest common multiple of 1796 and f.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1834 + 3879 - 2049. Suppose 0 = -5*h + 4 + 11. Let v(m) = -m - 3. Give h*c(l) - 2*v(l).\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3978 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - 194*j + 0*j**2 - 6*j + 8*j**2 - 8*j**2 as d*j**2 + u + c*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = 102*v - 429 + 68 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4956 in 1\/5, -3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37506 and 1386.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + -442. Let o = -448 - q. Which is bigger: o or 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1 - 8\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*w - 9 = 0, -14 = 2*l - 37*w + 33*w. Which is the biggest value? (a) -10 (b) 26\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-192)\/(-7))\/((-1)\/7). Let u = -134 - x. Suppose -3*t = 3*d - 39, 5*d = -2*t + 4*t + u. What is the lowest common multiple of 8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238382014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**8\/448 - r**7\/210 + r**6\/480 + 3*r**2\/2 - 3. Let t(s) be the second derivative of a(s). Factor t(v).\nAnswer: v**3*(v - 1)*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {w: 12, x: 7}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by -27\nAnswer: -53\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 8*b + 528 = 28*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)\/d*d)\/d)\/d*d**5 assuming d is positive.\nAnswer: d**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1\/i)**(-35))**(-11))**49 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 825 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 2\/19, 1, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 7*g - 3. Let r be 63\/12 - (-3)\/(-12). Let d be y(r). Let n = -9 - d. Solve -m = 1 - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 - 259*o - 1415. Determine i(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 325 + 41?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**4*x**3 + 132*k**2*x**3 + 3422*x**3 wrt k.\nAnswer: -8*k**3*x**3 + 264*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3969.617 centuries in years?\nAnswer: 396961.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12*3)\/(18\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 - 96*g + 4. What is the remainder when 956 is divided by v(14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lipppipppiipii. Give prob of picking 1 p and 2 i.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/23 - 1407694*r**3\/23 + 10769608850*r**2 - 10769547646*r = 0. Calculate r.\nAnswer: 0, 1, 351923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -16 - 28. Let y = -11 - p. Suppose 31 = 5*m - 24. Calculate the highest common divisor of y and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956 is divided by 620.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121.01 - -117.01. Which is the nearest to f? (a) 0.4 (b) -0.2 (c) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 a, and 1 u when three letters picked without replacement from {g: 1, u: 6, l: 4, a: 7}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*a**3 + 40\/3 + 20\/3*a - 10\/3*a**2.\nAnswer: -5*(a - 2)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 11. What is the closest to 1 in s, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72734989*j*x**3*y + 2*j*x**3 - x**3*y - 2*x**3 + 230020*x**2*y + x wrt j?\nAnswer: 72734989*x**3*y + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 8 = o. Let t be (0 + o)*2\/4. Let q be (32\/(-10))\/((-24 + 16)\/80). What is the greatest common factor of t and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 25. Suppose -k*m + 1933 = -1291. List the prime factors of m.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1529)\/99 + 7\/63)*126\/(-84).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8)\/6 + (-1 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(272) + 2 - sqrt(272)))*-4)**2 - (2*sqrt(272)*-3 - (-2 + 1*sqrt(272))).\nAnswer: 14 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405) + 0))**2*6*-2 + 1*((sqrt(5) - sqrt(35)\/sqrt(175))**2 + (sqrt(5) + 2 + -1)**2))*2.\nAnswer: 4*sqrt(5) + 92\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -505\/3*a**3 + 196520\/3 - 5610*a**2 - 179180\/3*a - 5\/3*a**4 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txdvxctttvxvvdtxtvdd. Give prob of picking 2 v and 2 t.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 304\/(-38)*(-70)\/4. Suppose 2 = -3*q + x. What is the highest common divisor of q and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 6*n**3 - 3*n**5 + 5*n**3 + 4 - 6*n**3. What is the third derivative of v(o) wrt o?\nAnswer: -360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 7*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14883 and 8118?\nAnswer: 89298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 115759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -3)*1*-3. Let r = m - -15. What is the remainder when 26 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797.9616kg to milligrams.\nAnswer: 797961600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166713 and 549?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24110 = 401*n + 1153 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in years?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*k**3 + 86*k**3 - 7*k**3 + 0*k**3 + 8*k**3 + k**6 + 2 - 419*k**2 wrt k?\nAnswer: 120*k**3 + 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 45. Solve r = -4*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22347 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, e: 5, q: 3, t: 1, n: 2}. Give prob of picking 1 q and 1 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188642 + 269773. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2)*8\/30. Let s be 60\/48*(-128)\/2. Let d = s - -155\/2. Which is the smallest value? (a) t (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/4 + 9*r**2 + 3*r\/4 - 9.\nAnswer: -3*(r - 12)*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlxpdrxdlllxbpppl. What is prob of sequence dp?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9407? (a) 1 (b) 4\/3 (c) -6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42586*b**4 - b**2 - 6916?\nAnswer: -1022064*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 18799*m - 206780. Calculate a(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103 + -103. Let h = 1 + 0. Which is the closest to t? (a) -0.4 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - ((195 - 200 - (12 + -1)) + 14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 7. Let x(n) = -2*n + 0*n + 2*n - n + 1. Let m(c) = -5*f(c) + 30*x(c). What is the first derivative of m(g) wrt g?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263.0391 + 0.0391. Let x = -251.025 - z. Let y = x - 12. What is y rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, b: 8, g: 4}. What is prob of picking 2 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 6*p - 9*p - 11*p + 73*p - 41*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132546 (base 11) in base 6?\nAnswer: 4244151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -4) + 12 + (-16 - -21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10561, -3 in ascending order.\nAnswer: -3, 2, 10561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(2\/3*56\/168).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*h + 131*h + 36 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-105))\/((-10)\/12) - 425\/(-1610).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*b + 11, -2*y - 4*b = -y + 2. Let v(i) = 14*i - 6*i + i**y - 8*i. Let h(f) = 3*f + 14. What is h(v(x))?\nAnswer: 3*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 5. Suppose 0 = 5*t - 7*t. Let h be c(t). Suppose -4*n = -h*w + 3163, -w + 2*n = -0*w - 629. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 19*n + 76. Let z = -457 - -461. What is the smallest common multiple of 48 and u(z)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14923 (base 11) to base 4.\nAnswer: -11021113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 87766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125039*n - 250076*n + 125037*n - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1927228544 less than 0.3299?\nAnswer: 0.1371771456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 16 + -7 + -17 + 10 + -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -249650, -249649, -249648, -249647, -249646?\n\"Answer: m - 249651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a + a. Let x = a + -24. Let t = x + 35. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c - 3*c)*(-20*c**2 + 22*c**2 + 17*c - 83*c).\nAnswer: 4*c**3 - 132*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((-16)\/(-12))\/(-2))*(-242)\/2420?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 71, 92, 121, 158, 203, 256?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1. Let q(s) = -s - 37. Suppose 246*o + 20 = 5*g + 241*o, -5*o - 28 = -3*g. Give g*n(y) + q(y).\nAnswer: -y - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/19 + 474*u**3 + 9008*u**2\/19 = 0. Calculate u.\nAnswer: -1, 0, 4504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 115088, 5 in decreasing order.\nAnswer: 115088, 5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161671572 divided by -13472631.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -y - 21, 4*y - 25*x - 1914 = -1989 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/59, 4, -3\/5, -69.21 in ascending order.\nAnswer: -69.21, -3\/5, 3\/59, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133732\/117 + 13984\/9. Let p = -411 + g. Suppose 0 = 3*x + 3. Which is greater: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-8\/9)*g)\/g)\/(g\/g**(1\/14)))\/((g\/g**(10\/3))\/g*g**(-1\/3)))**(6\/17) assuming g is positive.\nAnswer: g**(359\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*u**4 + 49*u wrt u?\nAnswer: -108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-2\/11)\/d*d)\/d*d)*d*d)\/((d**20\/d)\/d)*(d**(-17)\/d*d*d)**(-22))**(-2\/79) assuming d is positive.\nAnswer: d**(-7418\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllxlxxllx. What is prob of picking 4 l?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.1 (c) -7\/4 (d) 1\/11 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 28, 88, 202, 388, 664, 1048?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 32*x + 4. Let r be c(0). Solve -n - f - 14 = -4*n, r*f + 16 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/(n\/n**(-2\/9))*n**(2\/11)*n\/(n**(-5\/2)\/n))**(-1\/2) assuming n is positive.\nAnswer: n**(-883\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 6, -308*t + 310*t - 28 = -2*p. Calculate the remainder when ((-6)\/(-6))\/(2\/110) is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 18. Let g be z(-9). Suppose 90 = -4*x + g*x. Suppose 4*a + 41 = 5*a - 3*l, -3*l - 6 = 0. Calculate the remainder when a is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -934566048 divided by 4135248\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54271103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81368204.4s in weeks?\nAnswer: 134.537375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3)\/r)\/((r*r*r\/(r*r**6))\/r))\/(r**(-1\/3))**9)\/((r**0*r)**(2\/157)*r**(-3)\/r*r**(-1)) assuming r is positive.\nAnswer: r**(1411\/157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 28.39017mg?\nAnswer: 28390170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1313*l - 1666. Let i(b) = 2662*b + 3332. Let x(f) = -5*g(f) - 2*i(f). Differentiate x(k) wrt k.\nAnswer: 1241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 15*i**2 + 15*i + 14. Suppose -7*s - 28 = -5*s. Let u be v(s). Solve 0 = 2*w - w + 3*x + 7, -w - 2*x - 6 = u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 13*p**2 + 87*p + 385. Give n(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223010 + 13?\nAnswer: -2222331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5217618 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5980584?\nAnswer: 2, 3, 211, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5659*0.031987\nAnswer: 0.0181014433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 64\/304361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + (-495)\/(-27). What is the greatest common factor of 152 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 54, 77, 100?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/8)\/((-9)\/(-24)). Let x be 3\/j - (-3)\/6. Is 2 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) 166 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4 - 3 = o, -2*a = 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4309*b**4*w**2 - b**4*w + b**2*w**2 - 9*b**2 + 17*w + 2 wrt b.\nAnswer: -103416*b*w**2 - 24*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2352 and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y + 17. Let g be c(29). Suppose -g = -8*m + m. Calculate the remainder when 139 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, j: 1, v: 1}. What is prob of sequence njv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 3*t**2 + t**2)*((-t**2 + t**2 + 2*t**2)*(2*t - 2*t - t) + (t + t - t)*(3*t**2 - 6*t**2 + t**2))*(-2447 + 1230 + 2072).\nAnswer: -10260*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 50 - 2*x + 10 in the form q + w*x and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 8*q + 5. Let n be d(-9). Let v = -4 - n. Suppose 3*j - 5*p = j - 10, -5*j + p + 21 = v. Calculate the greatest common divisor of 20 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 12:39 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 less than -62542?\nAnswer: -62638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {r: 1, v: 1, c: 1, g: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 7*j + 4*j + 5*j**2 - 3*j**2 to w*j**2 + t + r*j and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 22 = -0*k + 2*o, 55 = 5*k - 3*o. Solve -w - 4*x = -k, -3*x = -5*w - 5*x - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s - 108. Let l = -32 - s. Let b(k) = 1 - 1 - k**2 - l*k**2. Let u(q) = -2*q. Calculate u(b(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(4 - -1) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -i. Suppose i*u - 24 = 6*u. Let z(a) be the second derivative of -a**5\/20 - 7*a**4\/12 - 5*a**3\/3 - 3*a**2 + 214*a + 2. Calculate z(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + y = -2*o - 19, -7 = 5*o - 2*y. Let x be 462\/18 + 2\/o. Calculate the greatest common divisor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 122293*n**2 + 86 + 1472 - 122291*n**2 as f*n**2 + y + c*n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -559\/6 + 93. Let z(k) = k**2 + 14*k + 15. Let f be z(-11). Let j be ((-27)\/f)\/((-5)\/2). Which is the second biggest value? (a) n (b) j (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/5 + 116*o**2\/5 - 1267*o\/5 + 3234\/5 = 0. What is o?\nAnswer: 11\/3, 14, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470705 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 466?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2787338 and -2787339 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7750?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377357.5072 + -1.5072. Let c = f - 377364.2000225. Let i = 8.2 + c. Round i to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -421 (b) 0.2 (c) 1618\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 6 + (-4)\/(-6). Let o = 1.93644 - -0.06356. Which is the nearest to -2? (a) 6\/5 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 10.221443564\nAnswer: -15.221443564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 0*o + 14 - 1\/2*o**2 + 1\/9*o**3. Factor f(x).\nAnswer: x*(x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 5*m + 3. Let q be t(-5). What is the common denominator of ((-78)\/48)\/(q\/(-6)) and -36\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 divided by 3?\nAnswer: 1025\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -309, -301, -293?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (19 + (-29 - -12))\/((-4)\/14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 107 - 32 - 78 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74568 - 2?\nAnswer: 74566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1, 7, -255, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y + 51*y = 97*y - 4. Let f(b) be the first derivative of 0*b - 9\/2*b**y + 0*b**3 + 1\/2*b**2 - 13. Find the second derivative of f(g) wrt g.\nAnswer: -108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-54)\/(-6))\/((-6)\/4). Let p(t) = 4*t - 2. Let i(o) = -o. Let f(r) = -3*i(r) - p(r). Let j be f(n). Calculate the greatest common divisor of j and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 5. Let q be f(4). Let s be (1*-24)\/3*q. Suppose s - 2 = 2*n. Solve 5*p - 2 = 3, n*v = -5*p - 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**3 + 4*l**2 + 9*l + 11 wrt l.\nAnswer: -30*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16389 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 34. Let g = 1467\/8 - 1457\/8. Sort s, g, -0.3.\nAnswer: s, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -725 = -93*w + 695 + 347. Solve -4*x = -2*d + 6, -w*d - 2*x + 12 = -23*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/(0 - -1). Let z = -13.51 - 1.19. Let v = 15 + z. What is the third biggest value in 0, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppq when three letters picked without replacement from kzzppqc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12907957 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 10*i + 13. Let r be j(-11). Suppose 3*u - u = 6. Let b be 70\/25 + u\/15. Solve -5*p + t = b*t - 6, r*p + 3*t - 9 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 - 8*z + 3. Let p(t) = -3*t**2 + 5*t - 2. Let n = 411 - 403. Calculate n*p(i) + 5*y(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 1146 + 1189. Let v(w) = 468*w**2 - g*w**2 + 1 - 1. Let l(m) = 12*m. What is v(l(j))?\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101015*h**4 + 1624086*h**2 wrt h.\nAnswer: 2424360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 504, 1013, 1522, 2031, 2540?\nAnswer: 3049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-7)*539\/(-77). Sort 14, -1, -3\/2, c in decreasing order.\nAnswer: 14, c, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348851504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 23070?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3628376285 take away -0.1?\nAnswer: -3628376284.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*5\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3) + 6\/9. Suppose 10 = 2*b - y. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2170 (b) 1\/5 (c) -0.02 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11057 + -11051. Solve 0 = 3*f - 4*p + 6*p + u, p + 10 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151.9 + -152. Suppose p - 4*a = 24 - 10, 3*p + 3*a - 57 = 0. What is the closest to p in -2\/5, q, 4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 14*b**2 - 33*b + 4. Let y be x(-11). Solve -y*z + 3 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -3*y + 10*i + 221, 0 = 4*y - 3*i - 297. Let q be (-5)\/(2*2\/28). Let r = q + y. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*z - 1, -3*y - 3*z - 8 = -8*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7264*a**2*k**4*v + a**2*k**2*v - 2*a**2*k**2 - 7*a**2*k*v - 8*a*k**5 + 20*a*k**2*v - 4*k**2 wrt k?\nAnswer: 174336*a**2*k*v - 480*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 581687326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 11*f + 8 = 0. Let y be 7 + -7 + f + -4. Suppose y = 4*h - 516 - 32. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -38*i**3 + 37*i**3 - 2*i**2 + 2*i**2. Let f(x) = 4*x**3 - x**2 + 1. Calculate f(z) + 6*l(z).\nAnswer: -2*z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d4ac (base 16) in base 13?\nAnswer: 8a369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/75 and 7918\/18315 - 8\/18.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*f + 83, -180 + 101 = -3*f + j. Solve -3*n = 8 - f for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/20*20\/32.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 26211298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klhkhkikkh. Give prob of picking 1 h, 1 l, and 1 k.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.7599269?\nAnswer: -0.7599269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 61, 1, -3 in decreasing order.\nAnswer: 61, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -2) + -234 + 164.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 16*d**2 + 47*d - 194. Let j be i(18). What is the nearest to 12 in j, -2\/5, -5\/4, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 152.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(1\/(-3))\/(9\/27).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.19415 kilometers to nanometers.\nAnswer: 9194150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*p + 36225 = 23835 for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -487, 27.\nAnswer: -487, -13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8018 divided by 7.\nAnswer: -8018\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**9\/1008 - o**5\/60 - 4*o**3\/3 - 4. Let s(x) be the third derivative of g(x). What is the second derivative of s(n) wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/2 - 3*z**3 - 3*z - 13. Let l(d) = 3*d**3 + 9*d**2 + 1. Let i(v) = 3*l(v) + 4*p(v). What is i(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a**2. Let l(g) = -349*g**2 - 47. Calculate l(w(j)).\nAnswer: -22336*j**4 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/8 - 1373*m**2\/8 = 0.\nAnswer: 0, 1373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -10736.\nAnswer: 1073.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 7 + 34 = 0. Suppose 0 = -3*w + 9 - u. Let g(r) = -r**3 + r**2 - 6*r + 8. Let f(t) = t**3 + 5*t - 8. Let x(y) = -7*f(y) - 6*g(y). Calculate x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 47*p - 347. Let t be b(-9). Sort -4, 2, 5, t, 9.\nAnswer: t, -4, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d**3 - 3*d)*(1 - 1 - 2) - 2*d**2 + 2*d**3 - 7 + 2*d**2 - 10*d**3 + 6*d**3 + 2*d**3 - d**2 + (d - d - d)*(d - d + d**2) + 3*d**3 + 0*d**3 - d**3.\nAnswer: 5*d**3 - d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4509419 to the power of 1\/2, to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 4. Let k be j(3). Let c(z) = -z + 5. Let a be c(6). Let p = -2 + 5. Sort p, a, k in ascending order.\nAnswer: k, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**4 - 8*p + 8*p + (129*p - 129*p - 48*p**2)*(6 - 6 + p**2).\nAnswer: -54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2319*z - 3283*z - 4745*z - 6418*z + 109*z)*(2*z - z + 0*z).\nAnswer: -12018*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, 0, 1343\/5, -5 in decreasing order.\nAnswer: 1343\/5, 4, 0, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 904032 divided by 16\nAnswer: 56502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (252\/28 + 0 + -8)\/127\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097735911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + 63\/(-12). Let j(a) = -a**3 - 5*a**2 - 4*a - 5. Let p(k) = k**3 + 6*k**2 + 5*k + 6. What is y*p(d) - 6*j(d)?\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 9*m**4 + 1 + 0 - 10*m**4 - 9*m**2 to j + p*m**4 + c*m**2 + v*m**3 + i*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 - 4. Let o(t) = -11*t**3 + 9. Let p(w) = -6*o(w) - 13*x(w). Let i(y) be the first derivative of p(y). Let j(a) = a. Determine j(i(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 47 = 32 - 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 + 8*b**2 - 33*b**2 + 13*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2338098.9 months to centuries.\nAnswer: 1948.41575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 - 2*g**2 + 5*g**2 + (2 + 1 - 5)*(-3*g**2 - 4*g**2 + 4*g**2) + 740255*g - 1011*g**2 - 740255*g.\nAnswer: -1007*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30\/24*7304\/110 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**4 - g**3 + g**2 + g + 2. Suppose 0*u = 2*u + 44. Let v(o) = -6*o**4 + 6*o**3 - 5*o**2 - 6*o - 11. Let a(i) = u*r(i) - 4*v(i). Factor a(q).\nAnswer: 2*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2953*r = 861*r - 356392 + 58900 for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(2\/3)*f)**(1\/19)\/(f**(2\/7)*f)**(-2\/47)*(f*((f*(f\/f**(1\/2))\/f)\/f)\/f*f)\/f*f*f**(1\/3)*f\/f**(-6)*f\/((f\/(f\/f**(-1)))\/f) assuming f is positive.\nAnswer: f**(138535\/12502)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 19*u - 7. Solve 2*g - 21 = -u*v + 7*v, -3*v = 3*g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 4504*t**3 + 353 - 56 + 4508*t**3 to a*t**2 + f*t**3 + i*t + x and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (28 + -37 - (0 - 3)) + 14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.4 - 6.87. Let q = -4.03 + b. Let u = 0.3 + -2.3. What is the fourth smallest value in -0.6, q, 0.4, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.32646 rounded to one decimal place?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l = -48. Let t = l - -30. Suppose 108 = 18*r - 16*r. What is the highest common divisor of r and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 35 + 7)*(4 + q - 4).\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2))\/((-15)\/40). Calculate the remainder when 20 is divided by 94\/14 + f\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) -1628\/87 (c) 2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.02 - -3. Let r = 5.02 + d. Let t = 0.96 - -0.04. Which is the closest to t? (a) -0.2 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -739603, -739602, -739601, -739600, -739599?\nAnswer: -739598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48.2, 0.5, -4 in descending order.\nAnswer: 48.2, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226882.27 - 571341.\nAnswer: -798223.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**5 - s**4 - s**3 + s. Let g(a) = 4*a**5 + 23*a**4 + a**3 + 31*a. Let c(l) = -g(l) - p(l). What is the second derivative of c(j) wrt j?\nAnswer: -60*j**3 - 264*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 2.16. Let k = p - -6. Let n = 2\/17 - -13\/34. What is the second smallest value in n, k, -5\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65739 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*k = -16, 2*p - 22 = -k - 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -360556120*n**4*q - 5*n*q - 363*n - 2*q + 1669 wrt n?\nAnswer: -4326673440*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -a16c?\nAnswer: a161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5345 - 5349. Put 0, 93, k in ascending order.\nAnswer: k, 0, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (6\/(-33) + (-5770)\/935)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhxhxhhh. What is prob of picking 3 h?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401457836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163272685567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27443, 25409, 23373, 21335, 19295?\nAnswer: 17253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -137, -3, 486 in decreasing order.\nAnswer: 486, 2, -3, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - z + 55. Let i be a(0). Suppose 0 = -5*r + 15 - 5. Suppose b + r*k = 5, 3*b - 15 = 3*k - 2*k. Calculate the greatest common factor of b and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 552 divide 30565968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12332 + -86308\/7. Let y(f) = f**3 - 10*f**2 + 8*f + 12. Let z be y(9). Which is bigger: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1244739\/5500 - 249\/500. Suppose -3*o - t - 673 = 0, -o + 246 = -2*o + 4*t. Let a = d + o. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*o**3 - 826*o**2 - 2854*o - 156.\nAnswer: 2*(o - 26)*(o + 3)*(18*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*v = -301*v - 60. Suppose 3*t + v*i + 3720003 = 11*i, -15 = -5*i. What is t rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125559 = -5*u - 2*i, 4*i - 1 = 7. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 - 844. Let o be (q + 0)\/(12\/(-24)). Let m be 3\/(6\/o)*-50. What is m rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*q - 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 7*k = 10200. Let o = k + -854. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 573 + -404. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 117*f**2.\nAnswer: -3*f**2*(f - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/9 - 380*s**4\/9 - 248*s**3 - 4432*s**2\/9 - 2944*s\/9 = 0. Calculate s.\nAnswer: -184, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -231*g - 1386. Let m be u(-6). Let o(z) be the third derivative of 0 + 2\/3*z**3 + 1\/8*z**4 + m*z - 1\/60*z**5 + 8*z**2. What is d in o(d) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 3*f. Let l be 9\/3 + -1 + f. Suppose 0 = -0*b - l*b + 42. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.1, -225, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*u**2 - 365*a**3 + 881*a**2*u**2 + 144*a**2*u + 29*a**2 - a*u - 218*u**2 - 1 wrt u?\nAnswer: -2*a**3 + 1762*a**2 - 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1260 divided by 420\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 3:44 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from hiiuhfleilfifiiil?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1832110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h**2 + 7*h - 1. Let c(w) = -w**3 + w**2 - w - 1. Let d(x) = -2*c(x) - u(x). Let q(t) = -3 - t + 1 + t**2 + 0*t**2. Let m be q(-2). Give d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a - a)*(5 + a**3 - 5 + (0*a**2 + 0*a**2 - a**2)*(-6*a + a + 3*a))*(-7*a - 87 + 18*a + 188).\nAnswer: -66*a**5 - 606*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(42\/126)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69032 divided by -1?\nAnswer: -69032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 7*v**2 + 3*v - 7. Give l(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -263, -893, -2129, -4175, -7235, -11513?\nAnswer: -17213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8657 - -17532. Calculate the greatest common factor of 125 and g.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 8) to base 5\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1869 and 9429.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2335.\nAnswer: -4\/2335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 32 = 2*s. Let n be 2\/s - (-2465)\/20. Suppose 0 = 6*c - 51 - n. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 4:57 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from diwll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 2*j**2 - 1. Let m be i(2). Let p = 0.1 + 0.4. Which is the closest to m? (a) p (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218 or 1083\/5?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4\/12 - b**2\/2 - 7*b. Let f = 3 - 3. Determine t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24180 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 692*d**3*h**2*p + 71*d**3*h**2 + d**3 - 2*d**2 - 15762*d*h**2 - 14*h**2*p wrt d?\nAnswer: 4152*h**2*p + 426*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -38864988.4 to the nearest one hundred thousand.\nAnswer: -38900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 1:56 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 198 (b) -2\/7 (c) -3 (d) -5\/4 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2422125052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 2. Let d(w) = -2*w + 3. What is 2*d(c) - 3*v(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:29 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -654, -506, -372, -258, -170, -114, -96?\n\"Answer: -m**3 - m**2 + 158*m - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 7) to base 4\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 30 + 2. Let y be (1 - l)\/(4 - 3). Let r(h) = -2*h + 6. List the prime factors of r(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*v - 28381*v**2 - 3956*v**2 + 99*v.\nAnswer: -32337*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4671535cm in meters?\nAnswer: 0.004671535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.16 + 0.16. Put 3, a, 1\/3 in ascending order.\nAnswer: a, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21609 divided by 240.\nAnswer: 7203\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5788 or -2214?\nAnswer: -5788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-5))\/(6\/(-30)). Let g be (-239)\/v + (-4)\/(-12). What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -4*j - 4*c, -3*j + 31 = -c + 155. Let w be -3 + ((-1820020)\/(-7) - 6\/j). What is w rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(-2 + 3*x + 2) + (-2*x + 2 - 2)*(5 + 0 - 1))*(0 - 1 + 3).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208117 = 33*u - 890554 - 55009. What are the prime factors of u?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4107*q**2 - 12*q + 9. Let p be l(1). Calculate the greatest common factor of p and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.0773455 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*1*sqrt(76)*5)\/(sqrt(484)*-4*3).\nAnswer: -2 + 5*sqrt(19)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.85 + -0.85. Let t = -14 - l. What is the second smallest value in -4, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003667255 to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*9*6\/189*99\/(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 458*z + 47. Let m be d(6). Suppose m = -2*c + 2819. Sort 4, c, 1, -3 in decreasing order.\nAnswer: c, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -1. Let r = -5 - -13. Suppose -66 - 6 = -r*y. Solve -b*k + y = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59520.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + -92. Suppose -r*j + 5702 = 3*u - 6*j, -4*j - 3806 = -2*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*k**2 - k**3 - 6348 - 183*k**2 - 184*k**2.\nAnswer: -k**3 - 6348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 greater than or equal to 787\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36636652, 36636653, 36636654, 36636655?\nAnswer: 36636656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 18*u + 7*u)*(3*u**4 - 2*u**4 - 3*u**4).\nAnswer: -44*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:13 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/19 - 68068\/(-988) is divided by 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*z + 3 = 0, -3*z = -2*t - 2 - 1. Suppose -223*i - 336 + 481 = -524. Solve i*g = -t*c + 3, -2*c + 2*g = -0*c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxnnsxxnss. Give prob of sequence xsn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 13960650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2184 less than 0.4?\nAnswer: 2184.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + 46*v - 10. Let t(b) = -6*b**2 + 42*b - 9. Determine -11*m(a) + 12*t(a).\nAnswer: -17*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-16)*(-13 - -53). Suppose p*i = 33*i - 30111. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**3 + 0*m**4 - m**2 - 11\/20*m**5 - 74*m + 2 + 1\/5*m**6. What is the second derivative of u(s) wrt s?\nAnswer: 72*s**2 - 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15561 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*(4 + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231*d - 313*d + 137*d)*(-1 - 1 + 1 + (0 - 2 + 4)*(2 - 1 + 1) + 3 + 1 + 2).\nAnswer: 495*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**6\/120 - k**5\/10 + k**4\/6 + k**3\/3 + k**2 - k. Let n(q) be the first derivative of b(q). Determine n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(2448)*4 + (-1*sqrt(2448))**2*-4)*-4.\nAnswer: -195840 + 1920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/9))**31)**(-10))**36 assuming g is positive.\nAnswer: g**1240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 52*f + 0*f**3 + 77\/15*f**6 + 79\/4*f**4 + 1 + 0*f**2 + 0*f**5. Find the third derivative of u(l) wrt l.\nAnswer: 3696*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799 < 10797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23816488, 47632978, 71449468?\n\"Answer: 23816490*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1980 = n. Let k = 82 - n. Let x = k - 389. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-408*o**2 - 28*o**2 + o**2)*(0*o + 0*o - 2*o)*(-o + 0 + 2 + 0) to c*o**4 + s*o**3 + v*o**2 + z*o + i and give s.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537159071.\nAnswer: 3, 7, 19, 883, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-9 - -6))*(-355)\/(-1065)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/39*(-6)\/(-3)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - -1) + (341 - 365)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447422167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(-6))\/c*c*c*c)\/(c*c\/((c*c**5*c)\/c)))**(-2)\/((c\/(c\/c**1))**(23\/4)\/(((c**(-1)\/c*c)\/c)\/c)**(-14\/11)) assuming c is positive.\nAnswer: c**(-261\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 52.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8316 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.9 - -8. What is the nearest to 3\/5 in 0.5, 2\/11, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2 + sqrt(288) - (-3 + sqrt(2)*2))**2 - sqrt(10)\/(sqrt(20)*5)).\nAnswer: 999*sqrt(2)\/10 + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -69*r**2. Let m(b) = -512 - 4*b + 512 + 6*b. What is m(w(x))?\nAnswer: -138*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10560 and 4453515.\nAnswer: 285024960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113778, -225891, -338004, -450117, -562230, -674343?\nAnswer: -786456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 67*m**2\/2 + 157*m\/2 + 31.\nAnswer: (m + 2)*(m + 31)*(2*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3094\/257, 1\/5, 5 in decreasing order.\nAnswer: 5, 1\/5, -3094\/257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2220 - -2?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 789541 divided by -14897.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 486*u**2 + 3*u - 7. Let h(j) = -8*j**3 + 1941*j**2 - 13*j + 30. Calculate 2*h(z) + 9*p(z).\nAnswer: 2*z**3 - 492*z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/41))\/q)\/(q\/(q\/(q**7*q))) assuming q is positive.\nAnswer: q**(-330\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*a - 175663 = 0, -16*t + 2*a - 58580 = -17*t. Round t to the nearest one hundred.\nAnswer: 58600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9 = -3*t, -2*t + 5*a - 8 = a. Let r be t*1\/6 + (-408)\/(-9). Solve -15 = 4*o + n, -4*o + 3*n = -2*n + r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:35 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.124947 nanograms to tonnes.\nAnswer: 0.000000000000007124947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 18*h - 16. Let s be w(-19). Solve -6 = s*z, -4*z = 4*l - z - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esszszeszs. What is prob of sequence see?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-75)\/(-10) - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -968 - 2*q**2 + 7477*q**4 + 285*q - 285*q + 5172 wrt q?\nAnswer: 29908*q**3 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 21 = 3*k + 30, 0 = -3*k + 5*x - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let a(d) = -3 - 22*d + 2 + 3. Give a(o(j)).\nAnswer: 22*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*u + 42. Let l(c) = -c**3 + 14*c**2 - 9*c - 2. Is l(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + i**3 + 3*i**3)*(3*i**2 + 2*i**2 - 3*i**2) - 6*i**5 - 65 + 65.\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 + 3*o**3 + 4*o**2 - 11447*o - 2 + 11295*o - 6*o**3 in the form f + n*o**2 + l*o**3 + s*o and give s.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8465 = 6*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3863846374.\nAnswer: 2, 1931923187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 227408 * 1.13\nAnswer: 256971.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108 - -12) + (1 - -6) + 482 + -493?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -12. Let a be (-1 - 2) + g\/(-3). Suppose a*h + 2*r = -h + 133, 2*h - 2*r - 42 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*c - 1122, 5*b = -5*c + 3419 - 599. Let v = -555 + c. Solve 12*d + v = 18*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**8\/8960 - j**7\/1008 + j**6\/720 + j**5\/60 + 3*j**4\/2 + 27*j. Let r(u) be the third derivative of v(u). Factor r(s).\nAnswer: (s - 2)**2*(3*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000033611 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1818936 divided by 4.\nAnswer: 454734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -677\/7 - -97. Suppose 550 = 12*x - 7*x. Let g be 82\/x - (-6)\/(-30). What is the biggest value in d, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135506 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 4:56 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2790 + -2746. Calculate the highest common factor of 172 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-210)\/(-175))\/(6\/10). Solve 5*t = f + 3 + r, 3*f + 15 = -5*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l - 8*l**2 + 8*l**2 - 7*l**5 + 2*l wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12112447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hofhmfffmfaay. Give prob of sequence yaf.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-25)*(z\/z**(-2\/27))\/(((z\/z**(-3\/7))\/z)\/z) assuming z is positive.\nAnswer: z**(5036\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 184*w + 1069. Calculate k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 - 106*o**2\/3 + 1456*o\/3 - 1352\/3.\nAnswer: 2*(o - 26)**2*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-234)\/10*80\/(-24). Let m = -110 + w. What is the units digit of 381\/4 - (-8)\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -113.8, 4\/5, 5\/4, 2\/21, 0.218?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i - 12 = -34*i. Let g be 1 + -2 - i\/(-6). Let u(b) = -5*b**2 - 4*b + 4. Let t(r) = 6*r**2 + 5*r - 5. Let k(l) = 4*t(l) + 5*u(l). Calculate k(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 3, -1\/7, -5, -3\/7, -804?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -88. Let z be -1 + r + (4 - 5). Let k = 101 + z. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101200211 (base 3) in base 14?\nAnswer: 2bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 18982*b + 5904836.\nAnswer: 2*(b + 322)*(b + 9169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/4)\/(((-18)\/(-28))\/((-1482)\/(-8645))).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1157820*t + 15051652. Determine v(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.608 and -0.0016.\nAnswer: 0.6064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 10*p + 17. Let q(x) = -2*x - 26. Let j be q(-9). Calculate the lowest common multiple of z(j) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 55*u**2 + 368*u - 112. Let r be k(61). Calculate the highest common factor of r and 5120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 0*r**3 + 48*r**5 - 2*r**3 - 40*r**2 - 6*r + 31*r**2 - 2 wrt r.\nAnswer: 2880*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -13)*(-114)\/7695\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-24) + 12\/(-16))*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 7:44 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 113*p + 40 = -116*p, 3*k = -3*p - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186 - 185.9. Which is the third biggest value? (a) -5 (b) -1 (c) g (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -172 - 1653*t + 71*t + 88 + 83. Let r(a) = -a. Determine m(r(b)).\nAnswer: 1582*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 + -136. Suppose -b - 2*l = -0*b + 3, 5*b - 3*l = 24. Find the second derivative of 6*k**4 + u*k**3 + k**5 - 2*k + 0*k**5 + 0*k**b wrt k.\nAnswer: 20*k**3 + 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(612) + 1 + sqrt(612).\nAnswer: 3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4700*m**2 - 4707*m**2 + 9401*m**2. Let g(f) = -14*f**2 + 1. What is p(g(v))?\nAnswer: -1176*v**4 + 168*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*q = 92, 3*q + 12 = d - 5. Suppose 0 = -6*a + d - 2. What is the lowest common multiple of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + -c2?\nAnswer: -8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - -1)*-1 - 0. Let z(t) = -11*t**2 - 17*t - 11. Let w(h) = 95 + 5*h**2 + 5*h + 3*h - 182 + 92. What is i*w(u) - 6*z(u)?\nAnswer: u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {d: 2, u: 9, a: 5, r: 3}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-45) + 9440\/75. Factor 39 - 27*p**3 - 20*p - 27 - 55*p + y*p**2.\nAnswer: -3*(p - 4)*(3*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16146 + 5*v**3 - 6*v**3 - 5359 - 5358 - 5429.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 18206*w**3 - 12. Let x be k(-7). Let i = 22844670 + x. What is i rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 419 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/7*3\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1437*z**3 + 80*z**2 + 1435*z**3 - 80*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1026598 + 65?\nAnswer: -1026533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, c: 1, g: 3}. What is prob of sequence cg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*q - 9*d*q**2 + 472*d*q + 5*q**2 - 6768 wrt d.\nAnswer: -2*d*q - 9*q**2 + 472*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 264114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4587 = -96*y + 344*y - 109*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 501339 times 0.389\nAnswer: 195020.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 8*q - 15. Calculate y(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 73008\/66 + (-9)\/(-11) + -1. Let g be (-2)\/(4 + x\/(-276)). Calculate the greatest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*s = -1743, 9*s - 4*s - 2289 = -4*v. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -40*g**2. Let x(h) = -5*h - 62. Let o(c) = -18*c - 239. Let j(r) = 4*o(r) - 14*x(r). Determine j(d(m)).\nAnswer: 80*m**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -529*a**4\/2 + 42343*a**3 - 1207420*a**2 + 104753*a - 4551\/2 = 0.\nAnswer: 1\/23, 37, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 312*y - 6*y**3 + 313*y - y**2 - 18*y**3 to the form z*y**2 + q + b*y**3 + w*y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 3*k + 468*k**3 + 2.\nAnswer: 468*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2. Let w(m) be the first derivative of 0*m**2 + 8\/3*m**3 - 64 + 0*m. What is o(w(h))?\nAnswer: 256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 5*p + 7. Let j be d(0). Let x(z) = z**2 - 4*z + 8. Let k(n) = n. Let a(s) = -4*k(s) + x(s). What is a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -3*j**2 + 0 - 5\/24*j**4 + 7\/6*j**3 + 0*j - 1\/60*j**5. Let d be (-2 - -1)\/(3\/18). Give s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2601 + -2586. Solve 2*p - 26*r = -25*r + m, 4*r + 5 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3 + 0 + 10*a + a**2 - 4 - 9*a. Suppose -c + 5*c = -4. Let f(x) = -x**3 - 5*x**2 - 7*x + 5. Give c*f(o) - 5*v(o).\nAnswer: o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 10*y**2 - 10573 + 10571 + (1 + 2 - 2)*(-2*y**2 + 0*y**2 + 4*y**2) to f*y + h*y**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-3))\/((-30)\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 706 and 2?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -219*d - 8. Let h be g(-6). Let t = h - 490. Suppose 5*r = -0*r - k - 3996, r + t = 4*k. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 2*u**2 - 5*u + 2. Suppose 3*z - 9 = -3. Let s be j(z). What are the prime factors of ((-65)\/10)\/((-2)\/s*-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*d + 2202 = -989 + 17869 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14\/37 (b) 2 (c) -0.3 (d) 1 (e) -2 (f) -2\/15 (g) -0.032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, v: 13}. What is prob of sequence zzz?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4457, 8916, 13383, 17858?\n\"Answer: 4*q**2 + 4447*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**6\/15 - 4*y**5\/5 - 2*y**4 + 4*y**3\/3 + 21*y**2\/5 + 7812. Determine l, given that f(l) = 0.\nAnswer: -7, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 5. Determine g(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvccvlvvvvlqcvvllvqc. What is prob of sequence vlqc?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.197 + -0.2061. What is w rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Let r = -26016602\/25 + 1040664. Which is the nearest to -1\/4? (a) r (b) 0.2 (c) 1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = i + 22, q = i - 1 + 3. Solve 3*l - 8 - 3 = m, -3*l = -i*m - 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53.2 + 3.2. Let p = -46 - o. What is the second biggest value in 2\/3, p, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 499 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407156685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.969832 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6114174317 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 506, 1024, 1532, 2024, 2494, 2936, 3344, 3712?\nAnswer: 4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3330 + 3333. Solve -4*d = u*z + 5, -3*z - 8 - 4 = -3*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -23*y**7\/21 + 11*y**3\/6 - y**2\/2 + 80*y. What is the second derivative of v(w) wrt w?\nAnswer: -920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 433 + -433.37. Let d = 0.044 - -0.226. Let r = d + l. What is the third smallest value in -4, r, -4\/9, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-82)\/205 - 328311\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44630\/7 + -6376. Sort -1, -0.648, 4, v, -4.\nAnswer: -4, -1, -0.648, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 155\/22 + (158 - 169) + 4*1. Which is the closest to 8\/9? (a) 2 (b) -1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 s when three letters picked without replacement from {f: 2, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*v - n + 8, 4*v - 3*n = -11. Let j = v - 3\/4. Let u = -0.3 - -0.8. What is the third smallest value in u, 5\/3, j?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 1*(-1*sqrt(99) + sqrt(99))) + sqrt(99) + -1*sqrt(99)*1)\/((2*sqrt(81))\/sqrt(9) - (sqrt(324) + sqrt(324) + sqrt(324) + 2*sqrt(324))).\nAnswer: -sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 + 6*v**2 - 6*v - 5. Let o(w) = w**3 - w - 1. Let l(h) = -a(h) + 6*o(h). Let c be l(6). Let g(y) = -32*y + 2. List the prime factors of g(c).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 17*u**2. Let y(a) = 602*a**2. What is y(w(b))?\nAnswer: 173978*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 15*f + 15. Let y = -0.3 + 0.31. Let n = y + -2.01. What is the smallest value in f, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115\/3 - 38. Suppose 184 = 3*u + u. Let n = 95\/2 - u. Which is the second biggest value? (a) n (b) -4\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 845 and 7735?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*s + 4, 0 = 4*j - 3*s + 29 - 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = 6*d + 50. Let o be d*(-2)\/((-4)\/(-18)). Suppose -2*k + 8*k - o = 0. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115\/315*3 - 70\/42. Let q(a) = -a**3 + 5*a**2 + 5*a + 5. Let s be q(6). What is the nearest to -2\/3 in x, s, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 272 = -560. Suppose -f - 121 = -6*f - 3*x, 32 = f - 2*x. What is the highest common divisor of f and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2761 + -2784 + -5 + 2 + -2 + -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000573 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371732 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18824596789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 322*m - 28. Let c be k(1). Let o be 104\/273*c\/18. Factor -16\/9*p**4 - 16\/9 - 50\/9*p**3 - o*p - 76\/9*p**2 - 2\/9*p**5.\nAnswer: -2*(p + 1)**2*(p + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 18. Suppose 3*u + 144 = t*u. Solve -3*f + 17 = -l, -u = 5*l - 2*f + 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*q**(-2\/7))\/(q*(q**(-2)\/q)\/q)**3 assuming q is positive.\nAnswer: q**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2 + 408*n - 13872 = 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -508 - 870\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 79341.\nAnswer: 79341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f - 8*f**2 + 248 - 2*f**3 + 249 + f**3 + 253 - 767. Determine b(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3))\/s**(2\/3))**(-7\/2) assuming s is positive.\nAnswer: s**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-615)\/(-2)*(-6)\/(-5)*2. Suppose 0 = c - 5*y - x, -3*c - 2*y - 2227 = -6*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = 29. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and -9536.5.\nAnswer: -801066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-100)*(-15)\/(-9). Let m(u) be the first derivative of -g*u**3 + 3*u**2 + 3*u + 14. Determine m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Let n be f(5). Let g be (-1)\/n + (-586)\/(-8). What is g rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*m**2)*(155 + 88 + 248 - 93).\nAnswer: 1990*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145374 is divided by 3203?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3.76*3.535\nAnswer: 13.2916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*q - 9 = 16, 2*b + 5*q + 4 = 0. Suppose 0 = 2*n + j - 38, 0*j - 39 = -3*n + b*j. What is the highest common divisor of 51 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + 3 - -2) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -85 (b) 3\/5 (c) -2\/5 (d) -0.04 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, -4.\nAnswer: -4, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from {n: 1, x: 1, t: 1, k: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203.4 + 203. Let f = -0.2 + -6.8. Which is the closest to g? (a) -3 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-609)\/116)\/(-8 + 793\/104).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*o - 94*o = -40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-18))\/(2\/18). What is b in -5 - 2*b + 2 + 2 + 0 + c*b**2 = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - t)*(-3*t + 4*t - 6*t) + 215*t**2 - 105*t**2 - 85*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**2 - p = 0. What is p?\nAnswer: -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -602, -884, -1280?\nAnswer: -1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let q = 77 - 75. Let i(n) = -2*n + q + 8*n - 2. What is i(k(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 6917 + 36126 = 0. Calculate the highest common factor of 43 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 8. Let w(t) = 5 - 4 + 3 - 3. Let z(l) = -b(l) - 4*w(l). Let u(h) = 59. Let a(q) = 167. Let m(r) = -6*a(r) + 17*u(r). Calculate 6*m(g) - z(g).\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/4223?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from vvuuvvvvvvvvv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -52744390\nAnswer: -1318609750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g - 3497 = 23194. List the prime factors of g.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -646 - -634. Which is the closest to -0.1? (a) u (b) 3 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {l: 1, a: 17, w: 1}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39631582.\nAnswer: 2, 271, 73121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**4 + 754188*b**3 - 35542805172*b**2 - 675617269852*b + 1493399726952 = 0.\nAnswer: -21, 2, 94283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*s**3 - 62*s**2 + 124*s**3 - 284*s**3 - 156*s**3 - 43*s**2 wrt s?\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-14)*(-84)\/24. Let t be (1 - i)\/(2\/(-24)). Solve 3*y = 3*g + t, 3*y + 4*g = g - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 5*d**2 - 5*d - 2. Let k(g) = 2*g**3 - 10*g**2 + 10*g + 4. Let t(y) = -3*k(y) - 5*p(y). Give t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (12 + -25) - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1179 + -1177. Let w(s) be the first derivative of -1\/2*s - 7 + 3\/8*s**l - 1\/12*s**3. Solve w(f) = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 22. Suppose 3*p + 4 = 3*m + 2*p, -5*p - a = m. Solve -b + m*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -302 + 284 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72442730*a**2 - 10089*a + 2177.\nAnswer: 144885460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**6\/30 + 3*z**5\/20 + z**4\/6 - 3*z. Factor u(q).\nAnswer: q**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53462*a + 53458*a + 3*q = 56, a - 5 = -4*q for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.0632t?\nAnswer: 6063200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60685486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194815 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/7 (c) 0.04 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 4*t - 1639. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*x - 4. Let y(r) be the second derivative of 0 - 5\/2*r**2 + 0*r**4 + 0*r**3 + 3*r + 3\/20*r**5. Let u(z) = 4*z**3 - 7. Give x*u(m) + 7*y(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 55*r**2 - 105*r + 92. Does 14 divide w(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7 = 5*g + 62, -4*g - 4*m - 80 = 0. Which is the nearest to -1\/2? (a) g (b) -3 (c) 2\/15 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/219, -2\/5, -0.3.\nAnswer: -2\/5, -0.3, 2\/219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5\/3 - 3541*q**4 - 341027*q**3\/3 + 237973*q**2 - 362270*q\/3 = 0.\nAnswer: -34, 0, 1, 10655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 5. Let l = -31 + 34. What is the remainder when f(0) is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 17*v**3\/3 + 96. Suppose -2*k = k. Let s(y) = 0*y + k*y - y**2 + 2*y**2. Give s(n(f)).\nAnswer: 289*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**4*r**2 - 3*j**2*r - 37*j*r**3 - r**3 - 457*r**2 wrt j.\nAnswer: -4*j**3*r**2 - 6*j*r - 37*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 42, -2, 2\/9, 1\/9, -1.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -4 (b) -6 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6\/5, 3 in descending order.\nAnswer: 3, 6\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14*b**2 - 4. Let s(h) = -44*h**2 + h + 13. What is 2*s(d) + 7*u(d)?\nAnswer: 10*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10*u)**(-23)*(u\/(u\/(u\/(u**(-20)\/u)*u*u)*u*u))\/u*u**(-20\/9)\/u assuming u is positive.\nAnswer: u**(-2117\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 i when four letters picked without replacement from izzzizpziiiiiiiiipii?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.1. Let m = -0.705 + -0.125. Let z = 0.17 - m. Which is the nearest to h? (a) -0.1 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millisecond in microseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121100 (base 3) to base 4.\nAnswer: -12321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 15) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1642383, 1642387, 1642391?\nAnswer: 1642395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmgg when four letters picked without replacement from mmmmgmgmgmmmmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - (-2 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 448*t + 1791. Give c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*13\/(39\/4). Suppose -4*t - g*x = -536, 3*x = 2*t + 2*x - 262. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 55 = 8. Suppose -r = -u - 2, c = -5*u + 3*r + 15. Solve -26*x + 21*x + 20 = u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29939721, -29939729, -29939743, -29939763, -29939789?\nAnswer: -29939821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/72*(-201)\/2*-5. Let a = -317 - h. Suppose -3*k + 24 = 3*q, -2*k = 2*q - 6*q - 40. What is the remainder when a is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 376.2 + -24.2. Let j = 352.06 - k. Which is the second smallest value? (a) j (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/2 smaller than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*s - 5, -8 + 1 = -u + 2*s. Let t be (-11 - (10 + -25))*12\/112. Which is the closest to u? (a) 2\/19 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26679, -27362, -29211, -32808, -38735, -47574, -59907?\nAnswer: -76316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 > -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + a**2 + a - 1. Let s be k(1). Suppose 0 = -6*n + s*n + 24. Factor f**2 + 1 + 7 + n*f + f**2.\nAnswer: 2*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -13*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 25*m + 1. Let t be b(-3). Calculate the remainder when (27\/(-18))\/(149\/t + 2) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 - 114. Let v(c) = 37*c**3 + c**2 - 4*c + 2. Calculate the remainder when 103 is divided by v(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 8:15 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 24, z - 3*z = 3*w - 9525. What is the highest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101200230 (base 4) to base 10.\nAnswer: 71724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 17474*d - 17487*d + 1 + 1 - 2.\nAnswer: -2*d**2 - 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k - 5*k + 4*k)*(6 + 2*k - 3*k + 2*k**2 - 10).\nAnswer: -18*k**3 + 9*k**2 + 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*d = -4*d - 30, -3*r + d - 65 = 0. Is -19 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (63\/35)\/(-2 - 26\/(-10)). Suppose -4*x + 3*x = c - 161, 3 = -q*c. Calculate the lowest common multiple of x and 2.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*o + 47*o + 77. Let m(v) = 1. Let y(g) = -4*g - 28. Let c(r) = m(r) + y(r). What are the prime factors of c(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 8798.094531065?\nAnswer: -8794.094531065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7831?\nAnswer: 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 8) to base 12\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) -17\/15 (c) 1\/5 (d) -0.2 (e) -1\/2 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.4 smaller than -35499\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-10)*(k\/(k\/(k*k**(-7))))\/k)**(2\/9) assuming k is positive.\nAnswer: k**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*(-6)\/20*1120\/(-240)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/14)\/(160\/(-112))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**0)))**41\/((v**(-5\/7)*v*v)\/(v**(-8)*v*v)))**50 assuming v is positive.\nAnswer: v**(11800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*b - 1 = 15, -4*b = -5*i + 4. Suppose i*t = t. Find j, given that -1\/4*j**3 + 0 + 1\/4*j + t*j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21172 is divided by 21163.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -15 + h + 3 + 4 + 0 - 4. Let w(y) = -10*y - 1. Let g be w(-1). What is k(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p + 42*p = 5*z - 34, 0 = -3*z + 4*p + 10. Solve 0 = l - 4*b - 12, 11*l - 9 = z*l + 3*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 11) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y - 5795517 + 582015 = -229*y. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 10. Let z be (-4)\/(-8)*-13*q. Let v(n) = n - 4. What is the least common multiple of v(z) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*m - 2*n, -5*m + m = 2*n + 80. Let w(a) = 3*a**2 + 62*a + 41. Let q be w(m). Which is bigger: q or -6\/29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 31*v - 60 = -21*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3))**(-1)\/((m**(-2\/15)*m)\/m*m\/(m\/(m**6\/m))*m))\/(((m*m\/m**1)\/m)**(2\/85))**(-39) assuming m is positive.\nAnswer: m**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -2\/7 (c) -6\/7 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 3:44 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and -0.3145?\nAnswer: 12.8945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 551900*d**6 - 37*d**2 - 2455*d - 3.\nAnswer: 66228000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19426 + -3056. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-87)\/(-8) - 6) + -5. Sort c, -0.4, 3\/11 in decreasing order.\nAnswer: 3\/11, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3553*p - 262765. Determine c(-74).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/(123\/(-5535)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 53*z**2 - 47 + 47 - 56*z**2. Let s(j) be the first derivative of 0*j + 1\/3*j**3 + 0*j**2 + 2. Give s(k(b)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*n - 0*n. Suppose 3*o + 31 = 4*t, -2*t = t - n*o - 22. Suppose 0*z + 32 = t*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773401003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 57 = 2*v - 3*k, 3*k = -3. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 1\/2*r**5 - 1\/2*r - 2*r**4 - 2*r**2 + 0.\nAnswer: -r*(r + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 - 156. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414571 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, o: 3}. What is prob of picking 3 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -0*v + 4*v. Let n be (1 - 2)*(-30)\/6. Solve -6 = -n*a - v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((24\/(-32))\/(3\/(-8))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/1344 + q**7\/420 - q**6\/32 + q**5\/60 + 5*q**4\/24 - 111*q**2. Factor v(o).\nAnswer: o*(o - 2)**2*(o + 1)*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 28*h + 162. Let b be q(8). Suppose 4*w - i = 15, -5 = -3*w - 4*i + 11. Let c be (12 + -13)*b\/w. Which is greater: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -20*j**5 - 12*j**4 + 148*j**3 + 204*j**2 + 16*j - 48 = 0?\nAnswer: -2, -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oap. What is prob of sequence ooa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1505\/49)\/((-3)\/(-7)))\/(-10)?\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = 26 - 714. Calculate the remainder when 256 is divided by v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:22 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149 + -144. Solve -6*b = -i - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-11 - ((-4 - 2) + 1) - -3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 21. Let i(u) = -u**2 - u - 1. Let z(m) = -m**3 + 9*m**2 + 8*m - 7. Let g(r) = -2*i(r) - z(r). Does 13 divide g(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3503338720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-385) + (-112)\/22\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.010291\nAnswer: 0.00020582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (9 + -3) - -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 6564*n**2 - 2*n + 3 + 2*n**3 + 6567*n**2. Let o be z(0). Factor -1 + j + 3\/4*j**2 - j**o + 1\/4*j**4.\nAnswer: (j - 2)**2*(j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l**3 - 5*l**2 - 3*l + 1. Let h(o) = o**3 + o**2 + o. Let d = 0 + 1. Let x(a) = d*k(a) + 3*h(a). What are the prime factors of x(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -43, -11575, 5 in descending order.\nAnswer: 5, 2, -43, -11575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -20*p - 3. Let z(d) = -7*d + 2. Let v(m) = -21*m + 5. Let b(j) = 3*v(j) - 8*z(j). Determine 17*b(o) - 6*k(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, n: 1, w: 2, o: 2, m: 5}. Give prob of sequence too.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 19*i**3 - 5*i + 5. Let x = -38 + 43. Let k(g) = -28*g**3 + 7*g - 7. Calculate x*k(o) + 7*h(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/(-125)*19530\/24304?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*d + 4)*(1 - 1 + 2) - 6*d + d + 11*d as g + m*d and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12\/2137 - -18284\/211563. Find the common denominator of 7\/9 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 688 (b) 3\/8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 117, 268, 519, 870, 1321, 1872?\n\"Answer: 50*w**2 + w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4702135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -9. Suppose 2*g + q = -2*g, g = 4*l - 10. Let w(c) = 19*c - 1. Is w(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/3 + 5*u**2 + 47*u\/3 + 11 = 0.\nAnswer: -11, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4)*(-3*l**4 + l**4 + 0*l**4) as t*l**4 + d*l + x*l**2 + z + y*l**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7730 - 7735. Sort t, 4, -220, 0 in increasing order.\nAnswer: -220, t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4069 and 0.1.\nAnswer: -406.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 817 and 3.\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 1. Let j be p(1). Let w = j + -3. What is the units digit of w\/(-2 + 5) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 34*v + 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4*g + (4*g - 3*g - 4*g)*(0 + 0 - 2) - 28*g + 20*g + 88*g)*(2*g - 3*g + 4*g) as x*g**2 + l + o*g and give x.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291 is divided by 1141.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17057*-0.073\nAnswer: -1245.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92050442*f**2 - 234*f**3 - 92050442*f**2 + 302*f**3 + 1956*f**3 + 153*f**3.\nAnswer: 2177*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2313837434 to the nearest integer?\nAnswer: 48102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 6. Suppose 1 = 6*z - 11. Let f(n) = 3*n**2 - 3*n**2 + 5*n**2 - 7*n**z. Determine a(f(b)).\nAnswer: -2*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4398 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 704942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167248454363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4 + 31\/2*w**2 + 0*w + 0*w**3 - 13. What is the second derivative of r(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(91) + 4*sqrt(91)*-4 + sqrt(91))*3)\/((2*sqrt(56)*-1)\/(sqrt(648) + sqrt(648)*2 + sqrt(648))).\nAnswer: 3780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 87.828. Let v = -0.17199834 - u. Round v to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564*-173.\nAnswer: -97572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - 0.2956. Let i = 0.2456 + o. Sort -23, -0.5, i in increasing order.\nAnswer: -23, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 36*r + 5. Determine s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2097.3\nAnswer: 838.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*t)*(18*t**4 - 8*t**3 + 8*t**3) + (-t**2 + t**2 - 2*t**3)*(2*t**2 + t**2 - 4*t**2).\nAnswer: -34*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 6*n - n. What is the highest common factor of 44 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -14. Let x = 14 + u. Sort -11, x, 3 in decreasing order.\nAnswer: x, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 1. Let c(o) = -o**3 + 11*o - 4. Let a(f) = -2*c(f) + 11*n(f). Differentiate a(k) wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*h + 92. Calculate the greatest common divisor of h and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - 150 + 4*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7407644809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = h. Suppose h*j = j + 4. Sort 2, -4, j.\nAnswer: -4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 4*f**2 + 4*f + 37. Let q(p) = 10*p**3 - 9*p**2 - 9*p - 75. Let v(t) = -9*a(t) - 4*q(t). What is the derivative of v(d) wrt d?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5353538, 5353533, 5353524, 5353511, 5353494, 5353473?\nAnswer: 5353448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -24*m**2 - 8*m + 2. Let f be y(-5). Let k be (-2)\/5 + f\/(-45). Suppose -16*c = -14*c - k. Solve 0 = d + 5*v - 6, -d - 3*v + 26 = -c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -33*j + 6. What is the remainder when b(-5) is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**7\/210 - 11*b**4\/6 - 304*b**3\/3 + 2382*b**2. Differentiate v(w) with respect to w.\nAnswer: 4*w**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-154)\/(-822)) - 492\/(-287)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35\/3 (b) -5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*(-5)\/(-4))\/((-7)\/42). Solve -a = 5*o + 5*c, 2*c - c = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1755, 2326, 2861, 3348, 3775, 4130?\nAnswer: 4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26393, 52764, 79135, 105506, 131877?\n\"Answer: 26371*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63b48 (base 14) to base 2.\nAnswer: -111010110100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 40957114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*t - 18 = -i, 2*t - 12 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.4. Let r = -84 - -81. Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -267*p**2 - 2948*p - 153. Determine q(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 - -140. Suppose 5*l = 5, -86 = -4*y - l - h. Calculate the highest common divisor of 38 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1798 and 372?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46890 and -6139.\nAnswer: 40751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*v - 1576 = 0, 9*r - 2*v - 2668 = 4*r. What is the common denominator of -79\/20 and (r\/30)\/(24\/10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.443095606 - -2.570901387. Let b = -7.014 + w. Round b to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - (-11 - -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 2 + 3*p**3 + 0 - 1 + 2*p. Calculate q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48733, 11843, 0?\nAnswer: 48733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5202)\/(-5) + (18\/15)\/(-3). Let h = -464 + l. Is h a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let t be h(-3). Let o(x) = 0*x**2 - 5*x**2 - x**t. Let f(n) = -22*n - 10. Let b(q) = 35*q + 16. Let u(a) = -5*b(a) - 8*f(a). What is u(o(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 14*a + 4847 = -12*a + 3197 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-51 - (0 + -24))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588876, -589498, -590120, -590742, -591364, -591986?\nAnswer: -592608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560798527?\nAnswer: 193, 467, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (102\/(-1))\/((-2)\/5). Let h(a) = -2*a**2 + a + 35. Let n be h(-5). List the prime factors of (16\/n)\/((-6)\/g).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637)*3)**2 - -6*sqrt(637)*-4.\nAnswer: -168*sqrt(13) + 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 29 + 7. Let h = -37 + 43. Suppose 8*v = h*v + 210. Calculate the remainder when v is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 3 - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/180 - z**5\/90 + z**4\/36 + z**3\/9 - 4*z**2. What is u in s(u) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 10507446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1728756 and 51.\nAnswer: 29388852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371865526 is divided by 54422.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10998, 43991, 98980, 175965, 274946, 395923, 538896?\n\"Answer: 10998*q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110144 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b7c183 (base 14) to base 5.\nAnswer: -12004412001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 5*v + 4*v)*(-1 + 1 + v**3) - 4*v**4 + 2*v**4 + v**4 - 2*v**4 + 3*v**4 - 4*v**4 - v**4 + 2*v**4 - 4*v**4 - v**3 + v**4 + v**3.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 4*p**2 - 4*p - 1. Let x be r(-3). Suppose k + 2*y - 2 = 1, 3*k = -x*y + 1. Let g be k + -1 - (-6 - -4). Solve -w - 2*w = g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {c: 1, b: 2, w: 1, x: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18710 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 25*z**2 + 246*z - 1397. Give n(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 13*q + 12. Let t be -2 - (-1)\/(1\/4). Let l(c) = t - 3 - c - 4. What is l(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 635568397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -0*v + v. Suppose -502 = -4*j + v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 15*l - 192. Let b be k(13). Let g(m) = 533 - b*m - 264 - 265. Calculate g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1768)\/(-119) - (-40)\/200) + -15.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2 - 8*u**2 + 11*u**3 + 0 + 8*u - 12*u**3. Let m(a) = -2*a**2 - 110*a + 219. Let y be m(2). Calculate b(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49, -92, -171, -292, -461, -684, -967?\n\"Answer: -a**3 - 12*a**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -3\/37, 2?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.11 rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**5\/5 - 5*i**4\/12 - i**2 - 7*i + 21. Let r(a) be the first derivative of w(a). What is the derivative of r(x) wrt x?\nAnswer: 12*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31e + -5?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29168279 rounded to the nearest 100000?\nAnswer: 29200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11904 and 2122608?\nAnswer: 526406784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -317*h - 102. What is the units digit of i(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.267 - -446.163. Round k to zero decimal places.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q + 2)*(-99*q - 264*q - 138*q) + 5*q**2 - 6*q**2 - 4*q**2.\nAnswer: 496*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 1 + 1 + (3*w**2 - w**2 - 3*w**2)*(8 - 11 - 20).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -729 + -32?\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 29?\nAnswer: 36\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -39, -42, -39, -30, -15?\n\"Answer: 3*w**2 - 18*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6))**(-16)*(b*b**(2\/81)*b)\/(b\/(b*b*b**22)) assuming b is positive.\nAnswer: b**(9803\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1366749 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*q - 21, 0 = -u - 2*q + 10. Solve -2*n = o + u, -7*o + 6 = -9*o - n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-12 - -7)) + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 9, -1\/4, -0.98, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70577 is divided by 66.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41514 - -2?\nAnswer: -41512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 43683836 divided by -100654\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 60, 65?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*k - 7 = 4*k, -21 = -3*x - 2*k for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2. Let y(q) = -443*q**2 - 3*q. Determine y(o(j)).\nAnswer: -1772*j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:07 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5062, -5060, -5058, -5056, -5054?\n\"Answer: 2*c - 5064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 981, 2070, 3161, 4260, 5373?\n\"Answer: p**3 - 5*p**2 + 1097*p - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41277*x - 41293*x = -64, 5*x - 100 = 2*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 13. Let k = 80291\/29730 + -2\/2973. Calculate the common denominator of o and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 0. Suppose 3*n = 9*g - 12*g + 9, -11 = -4*g - 5*n. Solve -3*w + g*w = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - g)*(1 - 2*g - 1) - 2 + 2 + g**2 + (3*g - g - 4*g)*(1 + g - 1) - 1 + 1 + 3*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1)*(4\/144 - 0)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -7*i**3\/3 + 5*i**2\/2 - 2. Let x(f) = 4*f**2 - 3*f. Give -3*t(k) - 5*x(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 19. Suppose 226 = -3*f + 85. Let d = 41 + f. Does o = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*o - 274 - 623 = -129*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2601919\/58 - 44862. What is the common denominator of n and 5\/9?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 - (-32 + (-140 - -150))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -324 - -741. Suppose -3*k - 125 = 4*j - 458, 5*j - d = -3*k. Calculate the highest common divisor of j and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 73264?\nAnswer: 659376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 + 32*r**2 + 0*r - 1\/24*r**6 + 1\/6*r**5 - 1\/42*r**7 + 0*r**4 + 0*r**3. Let b(c) = 0. What is c?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918443.4 millilitres in litres?\nAnswer: 918.4434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/2*(-62)\/(-12) and (61\/10 - (6 + -2))\/((-54)\/(-51)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7320242908 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 2*o - 20. Let z be a(0). Calculate the common denominator of 13\/78*51\/z and 87\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -5, 0.1, 112114, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-14) + -4)*(-15484)\/(-280) - (-2)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z - 36. Determine v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -355*k - 8. Give n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27388*h**5 - 84*h**4 + h**3 - 470453170*h**2 wrt h.\nAnswer: -1643280*h**2 - 2016*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 15) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-19))\/((-330)\/20)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 19 (c) 23 (d) 3.684\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Solve 0 = -5*h + y + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 334, -8, 2, -1, 4, 1 in ascending order.\nAnswer: -8, -5, -1, 1, 2, 4, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -677 - 272526.\nAnswer: -273203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g**3 + 6*g**2 - 5*g + 7. Let f(r) = 5*r**3 + r**2 - r. Let y(s) = -4*f(s) - x(s). Calculate y(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 0.053 in descending order.\nAnswer: 12, 0.053, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-5))\/2*(-2 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 311 = 505. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21585 is divided by 10681?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8767 + 8780. Solve -32 = 5*v - l, 0 = -2*v - 16*l + q*l - 23 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -5\/4, -512 in increasing order.\nAnswer: -512, -5\/4, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 9, -1\/3, -81?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42665923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/20 and -113\/5148150.\nAnswer: 10296300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36.95+-6\nAnswer: -42.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 580\/14 + (-1150)\/70 + 17.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21468 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51031322 (base 7) to base 12\nAnswer: -1507595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 8*y = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*k + 4. Let a = k - 10. List the prime factors of 6*9\/a*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 + ((-448)\/77 - -5). Sort -1\/9, 1\/6, o in descending order.\nAnswer: o, 1\/6, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(2*t - t + t) + 0*t - 2*t + 3*t + 5*t + 16*t + 7*t to a + q*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/11 - 119*o**2\/11 + 241*o\/11 - 11 = 0. Calculate o.\nAnswer: -121, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167230*y**4 + 45*y**3 - 432*y - 268.\nAnswer: -2006760*y**2 + 270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1020 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10545 and 1776.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1756)\/6*(-17 - (-121)\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -18.3. Put j, -3, -4 in ascending order.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.1 (b) -34\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4161 in 6\/7, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84\/((42\/(-9))\/(-7)) is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 1152*o + 552960 + 3\/5*o**2 = 0.\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g + 70*g - 35 = 3*d, 3*g - 4*d = 32. Solve -2*i = -x - x + g, 5*x + 3*i = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 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: What are the prime factors of 38576610?\nAnswer: 2, 3, 5, 428629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 7. Let w(g) = -g**3 - 9*g**2 + 13*g - 1. Let y be w(-8). Let m = y + 169. What is the closest to 0 in b, m, 1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 609 + -607. Let v(j) = j**3 - 5*j**2 + 5*j + 1. Let r be v(4). Let g = -0.038 - 1.962. What is the closest to -0.7 in r, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 - 8*m + 61. What is p(7)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84295998 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 4761 = 482. Does 67 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151001412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319 - -4149\/13. Suppose 0 = 2*t - 7 + 1. Let n be (t\/(-22))\/((-3)\/4). What is the nearest to 0 in 0.2, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 4}. What is prob of picking 2 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -4*v**2 + 0*v + 3\/40*v**6 + 0 + 1\/112*v**8 - 1\/20*v**5 + 0*v**3 - 3\/70*v**7 + 0*v**4. Factor h(q).\nAnswer: 3*q**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let r(z) = z + 1. Let n(f) = 7*r(f) - 6*y(f). Let k be n(-7). Which is greater: -4\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 37 + -10 + -12 + (-7 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13016)\/71588 - 65\/(-176)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 107257?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/25, -7738.99, 0.5?\nAnswer: -7738.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p**4))\/p)\/p)\/(p**(3\/5)\/p))**(-3\/14) assuming p is positive.\nAnswer: p**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (140\/(-7))\/(-2) - 4. Suppose w*s = 70 + 350. Calculate the remainder when s is divided by 68.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298\/210 + 108\/(-810)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 - -6233535?\nAnswer: 6233416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 114, 214, 346, 510, 706, 934?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14*b**2 + 137*b - 1. Let f(d) = -24*d. Give s(f(g)).\nAnswer: -8064*g**2 - 3288*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/5 - 188*w\/5 + 178 = 0. Calculate w.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {y: 1, u: 4, s: 1, i: 2, v: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 27 = 3*l - 3*d, 2*d = 5*l + 24. Let u(h) = -24 + 11 + 18 - 8*h + 6. What is the remainder when u(l) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553898 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f + 3*a = -2, 2 = -a. Let w be f\/((-33)\/(-15) - 2). Let u be (-21)\/(-5) - 1\/w. Solve 9*x = u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3)*(4*k**3 + k + 4*k**2 + 3*k**3 - 9*k**3) in the form i*k**2 + r*k**3 + o + m*k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9828692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 90*h**2 + 289*h - 910. Give q(93).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**7\/42 - u**4\/6 - 6*u**2 + 22. Let t(a) be the second derivative of y(a). Find the second derivative of t(q) wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 3*q + 5. Let h(i) = 3*i - 10. Let l be h(5). Suppose 3*c = -2*c + d - 19, 0 = -2*c + l*d - 3. Determine k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-6))\/((-3)\/1)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -101.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 19. What is the units digit of j(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34148, 68281, 102414, 136547, 170680, 204813?\nAnswer: 238946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 - 848*l**4 - 30488*l**3 + 94640*l**2 + 1131900*l = 0.\nAnswer: -165, -49, -5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.5 (c) -4 (d) 3 (e) -0.264 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 26*x - 22*x + 43*x + 2 in the form s*x**4 + z*x + v + c*x**2 + m*x**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.07 + 12. Let y = 0.9 - -0.1. Let j = 4469\/29302 - -3\/2254. Sort y, d, 2, j in increasing order.\nAnswer: d, j, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 532706140.88 and 13833.\nAnswer: 532719973.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90 - 67) + (-7 - (3 + -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7101908 divided by 10\nAnswer: 3550954\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 5.2. Let t = c - -8. Sort -0.1, 6, -4, t.\nAnswer: -4, -0.1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*z + 10 = 0, 3*z = 1424*a - 1421*a + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4 = -4*d, 0 = -21*l + 20*l - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 957 = -3158 - 3217. Calculate the remainder when n is divided by 591.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**3 + 20*g**2 - g - 19. Let a(b) = -6*b**3 - 9*b**2 + b + 8. Let d(l) = -5*a(l) - 2*m(l). Let v(n) = -n**3 - n**2 + n. Determine d(y) + 3*v(y).\nAnswer: y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70260.66 rounded to the nearest 100?\nAnswer: 70300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 1:57 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmde when four letters picked without replacement from edeeemememedeee?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(2\/7)\/d*d)\/d)**9*d**(3\/7)\/d**(-1))**(-34) assuming d is positive.\nAnswer: d**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4922?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - m - 46492 - 34437, 4*r + 4*m = 80944. What are the prime factors of r?\nAnswer: 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/8 and -61\/3018644.\nAnswer: 6037288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44908 - 8465 = -871*w - 41*w - 4597 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/119, 5, 8, -8\/903?\nAnswer: -8\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0842649, -4, -2\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0 + 0 - 3*r. Let w be 218\/8 - 2\/8. Let d(z) = 47*z - 10*z - w*z. Calculate d(f(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -385*y - 4618. What is p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/f*f**(3\/11))\/(f\/f**(1\/16)*f**(-2\/11)*f*f) assuming f is positive.\nAnswer: f**(-4643\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/13)*x))\/x*(x*(x*x*((x*x\/x**(-3))\/x)\/x*x*x)\/x*x)\/x*(x*(x\/(x*(x*x**(3\/4))\/x))\/x*x)**(7\/8))**(12\/13) assuming x is positive.\nAnswer: x**(7569\/1352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/((5\/5)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -160.968, -0.3, -0.016 in decreasing order.\nAnswer: -0.016, -0.3, -160.968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4727 divided by 5.\nAnswer: 4727\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010558977 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-5\/12)\/(i*i**2)**(29\/4) assuming i is positive.\nAnswer: i**(-271\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(0 + (-1 - -2)). Put r, -1, 1 in descending order.\nAnswer: 1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let v be 16\/72 + 13\/(-18). What is the closest to v in s, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20583 and 20530 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*(0 - 9\/27). Let b(h) = 3*h**2 + 2*h**3 + 6 - 6 - 4*h + 4. Let i(c) = -3*c**3 - 3*c**2 + 5*c - 5. What is w*i(j) + 5*b(j)?\nAnswer: -2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**5\/25 + z**4\/10 - 64*z**3\/15 - 29*z**2 - 45*z - 802. Determine d, given that p(d) = 0.\nAnswer: -5, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 4, 0 = -3*k + 5*z + 296. Is k*(0 + 1\/2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8717 - -8713. Let y = -0.4 + -0.1. Which is the fourth biggest value? (a) u (b) 43 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3640*q - 38. Let l(m) = 2*m**2. Determine t(l(h)).\nAnswer: -7280*h**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 5*g**2 - g. Let h(x) = 3*x**3 + 5*x**2 + x - 1. Let o(w) = 3*h(w) + 4*j(w). List the prime factors of o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162060 and 21096?\nAnswer: 284901480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 739\/11. Let g = -10 + 18. Let z be ((-2)\/4)\/(10\/g). Which is the biggest value? (a) m (b) z (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 30 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/10)\/(7\/(-56)). Let s(g) = -2*g**3 + g - 1. Let n be s(1). Sort n, 4, c, -5 in decreasing order.\nAnswer: 4, n, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 4\/(48\/978). Let u = 85 - w. Solve f - u*f**2 + 0 = 0 for f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*8\/(-28))\/(-1*(-340)\/(-70))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 18*s**2 + 36*s - 71. Determine d(-15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:21 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:35 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 92, 187, 282, 377?\n\"Answer: 95*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o**2 + 116*o - 24. Let z be n(7). Let r = 11 - 8. Let i(b) = -1 - 2*b**2 + 2*b**3 - 2*b**3 - 4*b - 4*b**r + 5*b**3. Calculate i(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/7)\/(b\/(b\/((b**5*b*b)\/b))))\/(b*b**(-1\/2))**(1\/4)*(b*b**(-1\/4)*b*b**2)**45 assuming b is positive.\nAnswer: b**(9139\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*i + 351 = -i, 3*i = 0. Let u be 2790\/f - (-4)\/26. Let w be 1\/2 - (-238)\/4. Calculate the highest common factor of w and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 - 752*p - 66. Let w(a) = 19*a**2 + 3009*a + 253. Let d(c) = 23*m(c) + 6*w(c). Let d(i) = 0. What is i?\nAnswer: 0, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:57 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21350270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -13*a**2 - 163*a + 104. What is q(0)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70458*a**4 - 51*a**3 + 21388*a - 2 wrt a.\nAnswer: -845496*a**2 - 306*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73709 (base 13) in base 9?\nAnswer: -345828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.14553 + -79390307.\nAnswer: -79390313.14553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2772*v**2 - 5*v - 35?\nAnswer: -5544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(19) + 5 + (4*(sqrt(171) + sqrt(19)))**2.\nAnswer: 2*sqrt(19) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12321046 and -332.\nAnswer: 12320714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(51*b + 63*b + 17*b)*(1 + 2 - 1) in the form c*b + j and give c.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 376028 (base 14) in base 13?\nAnswer: 516400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446486 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 300 = 6*i. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 - 18) + 3*1. Factor v + 2\/7*u + 2\/7*u**2 - 2\/7*u**3 - 2\/7*u**4.\nAnswer: -2*u*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10526 - 210*t**2 + 10526)*(-24 - 2 + 3) - 5*t**2 + 4*t**2 + 2*t**2.\nAnswer: 4831*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 6 (b) -2.4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*n + 40, 5*n - 1634743*y + 64 = -1634750*y for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 17*i + 5*h - 3, -i + 3 = -h. Does 11 divide (-9)\/i - (-3 + 2 + -133)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23545726*r**2 - 1231977*r + 2?\nAnswer: 47091452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 17?\nAnswer: -41\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420132 (base 5) to base 4.\nAnswer: -13023221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 9 = -5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from ascdawwdcdwddddcc.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/92 + 821372\/(-8648).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-4)\/6)\/(24\/72).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-15))\/(17\/(306\/(-8))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - r + 0*r**2 - r + (-1 + 0 + 2)*(-101*r + 101*r + 65*r**2).\nAnswer: 63*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189588 is divided by 2670?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -100*w**6\/3 - 34*w**3\/3 + 17. Find the third derivative of p(v) wrt v.\nAnswer: -12000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -38.53107.\nAnswer: -19.265535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831 is divided by 198?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -413 - 2?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 3479780696063.\nAnswer: 3479780696037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 16*h - 903 = 0. Let f = -129 + h. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/165595, -21, 2.\nAnswer: -21, -2\/165595, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -247?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3201233334 + -7309\nAnswer: -3201240643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 2*o = -12*f + 22, 0 = -f + o - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -109 * 3\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -56. Let k = -31 - x. Let p = -23.99999755 - k. Round p to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 605, 1245, 2003, 2801, 3561, 4205?\nAnswer: 4655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -42, -5, 0.3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341845 less than or equal to 2341846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 + 3*f. Suppose -5*u + 4 = -3*u. Let d(z) = 2*z**2 + 2*z. Let y(q) = u*o(q) - 5*d(q). Find b, given that y(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/((-24)\/(-60) + (-558)\/1420).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764624334.\nAnswer: 2, 3, 17, 19, 41, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 8*g + 966 = 0. Suppose 7*s - g = 4*s - 3*b, 67 = 3*s + 4*b. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986184.9 months to decades.\nAnswer: 8218.2075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*z**4 - 143*z**3 + 8*z + 661 wrt z?\nAnswer: -504*z**2 - 858*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(x**2 + 3*x**2 - 5*x**2)*(-7*x**3 + 8*x**3 + 25*x**3).\nAnswer: 52*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3326899829 plus 1.21?\nAnswer: 3326899830.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 3*t, 0 = 5*r + 3*t - 1902. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51 - 123?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 - 43 - 65)*((5*b - 2*b - 2*b)*(b - 3*b + b) - 25 + 8*b**2 + 25 - 4*b + 4*b - 4*b**2) in the form o*b**2 + n + t*b and give o.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y - 4*w, 3*y - 2*w - 30 = -y. Let s = y + 0. Let m be (-23)\/5 + s\/15. Let d(r) = -r**3 - 4*r**2 - r - 4. Give d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s = 20*s + 6*h - 384, 4*s = -2*h - 152 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -410236.06 rounded to the nearest 1000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - -5) + -4 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121524948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -119772552 divided by 24\nAnswer: -4990523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)\/w**(3\/2)*((w\/(w*w**(-2\/9)))\/w)\/(w*w**(1\/2)) assuming w is positive.\nAnswer: w**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 298 = -0*t. Let l = t + -63. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + -96 + 96 - (-4 + 16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/305124 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84209.\nAnswer: 107, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/6)\/(6 + (-74)\/12). Solve -2*n - j = -b, 3*n - 3*b + 12 = -6*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156065 is divided by 52020?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1877 + 1891 + 37*h + 1866 - 5634.\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 3, -0.123?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y - 2*y**3 + 2*y - 3*y - 2 + 2*y + 2*y**2.\nAnswer: -2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 462 or 570?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25113329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 482517059 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 10) to base 4.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 23.4?\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 62*f = 271*f + 544*f + 58674 for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 2 - 6)*(-5*y + 0*y + 2*y)*(-3*y**2 + 3*y**2 - y**2).\nAnswer: -93*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69.29587 - 69.3. Round j to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404 = 25*b + 629 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = -3. Let k = q - -2. Let z(i) = -7*i**2 - 3*i + 10. Let c(f) = -4*f**2 - 2*f + 5. Let b(y) = -5*c(y) + 3*z(y). Calculate b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -155968\nAnswer: -155968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*t - 2162 - 738 = 68*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672147597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50358 divided by -1183?\nAnswer: -7194\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148.1 and -14?\nAnswer: 2073.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/b**(-1))\/b)\/b)**28 assuming b is positive.\nAnswer: b**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30690007 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24250086 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 8*f - 5. Let u be r(-7). Let m be u\/4 + 3\/2. Factor 10*n**2 + 5*n**2 + 0 + 6*n - 9*n**m + 2 + 2*n**3.\nAnswer: 2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8918 - -0.1082. Which is the nearest to 5? (a) h (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 9:17 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/((m\/((m*m*m**11)\/m))\/m) assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.42 - -4.62. Put -3\/2, o, 3.5, 0 in increasing order.\nAnswer: -3\/2, 0, o, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60, -162, -336, -618, -1044, -1650, -2472?\n\"Answer: -6*h**3 - 60*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(156)*1 - sqrt(156)) + sqrt(156))\/(sqrt(192) - sqrt(192)*2).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4 - 136*k**3 - 2534*k**2 - 12740*k - 16464 = 0.\nAnswer: -7, -2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -3*q**5\/20 - 32*q**3\/3 + 331*q**2 + 2*q + 247. Differentiate o(b) wrt b.\nAnswer: -9*b**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4448355 equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*((sqrt(612) - (sqrt(612) + sqrt(612) + 0 + 3)) + -4)*1 + 2)**2*-6.\nAnswer: -3822 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32769187\/163393412 + 2\/448883. Find the common denominator of k and 71\/910.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2726 by 29.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -128, -325, -764, -1613, -3040, -5213, -8300?\n\"Answer: -28*d**3 + 47*d**2 - 142*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/7 and -50\/351?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, c: 1, a: 3, s: 1, l: 4, y: 1}. Give prob of picking 2 m, 1 y, and 1 l.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + 3*h - 2. Calculate y(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-7 + d**2 - 2*d**2 + 15).\nAnswer: 2*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 4) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - 2*k + 86 - 86 + 8*k**3 in the form u*k**3 + n*k**2 + x + q*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Let v be (-64)\/(-1 - (-4 - -4)). Let a(l) = 2*l + v - 64. What is f(a(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/sqrt(3) + -2 - (sqrt(1800) + -1))*3)**2 - -6*(sqrt(800) + -1 + sqrt(800) + (sqrt(2450) + -1 - sqrt(50)))**2.\nAnswer: -1230*sqrt(2) + 70083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, 6, 23, 58, 117?\n\"Answer: k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3. Let c(x) = 2*x**3 - 7*x**2 - x + 7. Let a(g) = -c(g) - j(g). Let r be a(7). Suppose y = r, -3*b + 2*b + y = -47. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.066 in 7, 6, 0, 9\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 32. Let m = g - 14. Which is the closest to m? (a) -0.5 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1573) + 0) - (-4*-2*sqrt(1053) - sqrt(1053)))**2.\nAnswer: 216333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 2001064620?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggz when three letters picked without replacement from gzgggggz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 350 + 20 = 0. Let l = k + 276. Is l a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6810031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, 4\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5967\/1520 + 100\/19. Find the common denominator of -19\/110 and q.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*(b**(2\/13)\/b)\/b)**(16\/7)\/(b\/b**(2\/19)*b**(2\/7)*b*(b*(b\/b**(-3\/2))\/b)\/b*b*b\/(((b*(b**6\/b)\/b)\/b)\/b)*b) assuming b is positive.\nAnswer: b**(4297\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -17147984.\nAnswer: 17147983.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2 - 12*i - 19. Let l(d) = 112 - 112 - d**2. Let w(y) = b(y) + 6*l(y). Let t be w(-8). Round t to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbkwkkkkkwwbk. What is prob of picking 2 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 311030 (base 4) in base 11?\nAnswer: 2615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.15 - 7.15. Suppose 5*y - y = -4*l - 20, l + 21 = -5*y. What is the nearest to 0.3 in l, -5, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6*j - j)*(-2 + 6 - 2) + (7 - 2 - 4*j - 8)*(-8 + 1 - 2).\nAnswer: 40*j + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -14*h - 97 - 6 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-four fifths of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24613131 or 24613129?\nAnswer: 24613131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:40 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 = 7*n - 1030. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 - 3 = 0. Solve -5 = 2*m + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 492*g - 10 + 5 + 2 as c + k*g and give k.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -218*r + 1321. Let w be u(6). Solve 4*b = z - w, 9*b = -4*z + 7*b + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -2*u + 22*q - 23*q + 7, -5*q - 15 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58673, -116612, -174547, -232478?\n\"Answer: 2*k**2 - 57945*k - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = -16. Suppose 5*p = -l + 78, 3*l + w*p = -0*p + 278. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37619070 and 60?\nAnswer: 75238140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8981*p**3 - 144865*p**3 - 127987*p**3.\nAnswer: -281833*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (9 - (-9 - -10 - -14))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/1)\/(3\/9). Suppose 3*o + s + f = 8*o, -5*s + 48 = 2*o. Let w(c) = -c. Let q be w(-4). Solve -2*v + 4*k = -20, -5*v + q*k + o = -18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 - -228. Let p = 259.85 + o. Let s = p - -12. Sort s, -1\/7, 3\/4 in descending order.\nAnswer: 3\/4, -1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -470+-37.4\nAnswer: -507.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74004.06009 - -37573.6599. Let a = -36427.8 - p. Let h = a - 2.6. Round h to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -35, -29, -25, -23, -23, -25?\n\"Answer: -x**2 + 11*x - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 924176 divided by 1424\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -21*n + 1706. Let o be l(81). Solve 0*w - 16 = o*w - s, s = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.5 + 43.5. Which is greater: -2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6288823989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2575294203*c**2 + 5976996*c + 3468 = 0. What is c?\nAnswer: -34\/29299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50649 - 72203 + 17852 = -6*m. Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let l(y) = -25*y + 3976. Determine a(l(i)).\nAnswer: -50*i + 7952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1595747.\nAnswer: -5\/1595747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5658 divided by -6\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 + (-12)\/(-9). Let r = 1 + 1. Let o be r\/(-2)*1*-1. Solve -x = 4*t + 5, o = -k*x - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 699*r**2 + 1407*r - 705.\nAnswer: -3*(r - 1)**2*(r + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1831762736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-1465634.\nAnswer: -43969.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13127514 by 37.\nAnswer: 13127514\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 12)\/(-7 + 3 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**0)\/(f**(2\/27)\/f))\/(f**6*(f*f*f**(-2\/11)\/f*f*f*f*f*f)\/f))\/(f**(3\/8)\/f*f\/f**4*(f**(-1))**47) assuming f is positive.\nAnswer: f**(99157\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 870 + ((-1)\/2 - 7\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*c - 1802*c - 361*c as v*c + p and give v.\nAnswer: -2032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 727 - 727 + 442*y to the form f*y + n and give f.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73048172?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:27 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 36. Let s be x(23). Suppose 0 = 4*m - g - 34, -5*m + s = -4*g - 35. Calculate the remainder when 118 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 34*m**2 + 122*m - 56. Let r be i(30). Suppose -4 = 2*u - 18. Suppose -200 = -u*c + 2*c. Solve 4*q - 37 = 5*y + q, -r*y + 5*q = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3727382, 3727392, 3727402?\nAnswer: 3727412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/60 - 2*i**2 + 217. Determine a(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 q, and 1 d when four letters picked without replacement from {d: 1, w: 1, s: 5, q: 1, z: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145*y**3 - 2351*y**3 + 1178*y**3.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*d - 2*p - 4, 0 = d - 4*p - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -977*w + w**3 - 126 + 0*w**3 + 977*w to y*w**2 + j*w**3 + n + f*w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000196133 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4\/(-18))*(340\/15)\/17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 584860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 69\/2 of a day?\nAnswer: 828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a - 129. Let m = -21 - a. Let i be 2\/(-11) - (-4)\/m. Is i at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 91315\nAnswer: -36526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}