diff --git "a/data/dm_maths/full_data_2/1630_11255.jsonl" "b/data/dm_maths/full_data_2/1630_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1630_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m(v) = 5*v**2 + v + 3. Let j(w) = 9*w**2 + 2*w + 6. Let r(z) = 4*j(z) - 7*m(z). Suppose -2*d - 112 = -108. Let c be r(d). Solve -c*h + 15 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + 8*z**3 + 10*z**3.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3532953 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*i**3 + 10*i - 24*i + 40*i**2 + 111*i.\nAnswer: -238*i**3 + 40*i**2 + 97*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*v - 3, 7 = -v - 13*x + 14*x. Let j = 369 - v. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 divided by -2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 4225586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 8*k = 123. Let a = -29 - k. Solve -a = 3*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 18912?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 1. Let f be ((-6)\/7)\/((-1)\/(-7)). What is the units digit of a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.79 from 0.4.\nAnswer: 7.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:11 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -721*q**2*z**2 - 1576*q**2 + 2*z**2 + 2*z wrt z?\nAnswer: -1442*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40220 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 116 times -5\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1000.38 - 1001. Sort 0.5, 0.4, w, -0.2, -5 in ascending order.\nAnswer: -5, w, -0.2, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18992464 to the nearest 10000.\nAnswer: -18990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2290*d + 2243*d + 987 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**3 - 27*a**2 + 20*a + 2. Let i(w) = -w**2 - 1. Let t(n) = -2*i(n) - u(n). Factor t(v).\nAnswer: -v*(v - 1)*(9*v - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*n + 44, j - 2*n = 3*n + 11. Suppose -1 + j = 2*k. Solve 2*b = 3*b - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 greater than 299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 5*o**2 + 2*o**4 + 55 + 2*o to h*o**2 + y*o + f*o**4 + a + j*o**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from fswfzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.07, -1, -550?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/22 - 300\/(-924). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1722*s + 0 - 1 + 2 + 1251*s.\nAnswer: 2973*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*r + 203*r + 21373 = 0. Calculate the remainder when r is divided by 393.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - 8*v + 21. Let m be t(-7). Calculate the highest common factor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 3\/2*o**2 + 0*o**4 - 1\/3*o**6 + 0*o**5 + 5 + 0*o + 0*o**3. Find the second derivative of d(y) wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 717637 != 717581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 6:10 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*b + 50, 3*r + 0*b - 4*b - 77 = 0. Let v = -9 + r. Let y = 237057 - 236931. Calculate the greatest common factor of v and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:19 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48434, 96798, 145162?\nAnswer: 193526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/11)\/(7\/(-14)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -3*d + 7*d. Solve 3*w + 0*w = d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28\/5, 1\/3, 2570.8, -0.3?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -341020000 rounded to the nearest 1000000?\nAnswer: -341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(112) + 1 + sqrt(112) + sqrt(112) + 1*sqrt(112)*-5)*5 - ((sqrt(112) - (-5 + -1*sqrt(112))) + sqrt(112)*-1 + sqrt(112) + 1 + 2))**2.\nAnswer: -1632*sqrt(7) + 16417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/9*i**2 + 0 - 1\/9*i**3 + 0*i = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + (0 - 46). Let y = -6991363\/153995 + -2\/30799. Let b = u - y. Put 2\/3, b, 0 in ascending order.\nAnswer: 0, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104445095.\nAnswer: 5, 29, 720311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = 48*p + 84 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**3 - 49748*v**2 + 99484*v - 49740 = 0.\nAnswer: 1, 12435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0 + 0*l - 4*l**2 + 11\/24*l**4 + 7\/3*l**3. Let d(t) = -7*t - 9. Determine 5*c(u) + 8*d(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 70661 and -431 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - 2*sqrt(1728)) + sqrt(2187) + sqrt(2187)*-1)\/(sqrt(54)\/(sqrt(6)*-2) - (sqrt(9) + sqrt(144))*-5).\nAnswer: -30*sqrt(3)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.25435 and 3.\nAnswer: -3.76305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r + 185. Let h be a(-18). Let j be 1\/(1 - 0 - 0). Suppose 0 = 5*v - 0*v. Put v, h, j in decreasing order.\nAnswer: h, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - l - 2*l)*(-5 - 1 + 5)*(3 - 1 - 5).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 3*h**2 + 4*h - 1. Let y be q(-4). Let k be y\/(((-44)\/48)\/(-11)). Let v be (k\/14)\/((-12)\/56). Solve -v*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25709, -51433, -77175, -102941, -128737?\nAnswer: -154569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1010111100100100110?\nAnswer: -1010111100100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 3912*b**2 - 27286*b = 0. What is b?\nAnswer: 0, 7, 1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f - 126. Let x be p(17). What is the highest common divisor of 154 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - i - 1276 = -290, g - 4*i = 479. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let b = -4\/39 + 17\/39. Let t(d) be the first derivative of -b*d**3 + 0*d + 3 + 0*d**2. What is t(o(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 110*a = -82*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*a + 3 + 25, 0 = 2*a - i - 14. Let u be (32\/(a\/(-2)))\/(-1). Calculate the highest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111010100 + 10110?\nAnswer: -10101110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q - 8 = -4*f, 5*q - 4*f - 1 = 0. Let x(y) = 32*y**2. Let u be x(-1). Let i = u - 31. Is q greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 695386 and 3514328.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f + 32*f - 65*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/12)\/(1\/3). Suppose q*h - 5*m = -h + 113, -h + 5*m + 51 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v + 34. Let o(j) = -j**2 - 137*j - 73. Determine -2*f(n) - o(n).\nAnswer: -n**2 + 135*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, 364, 3, -2 in descending order.\nAnswer: 364, 3, 2, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*q**3*v**5 + 22*q**3 - 888*v**5 - 3514*v wrt v?\nAnswer: -1180*q**3*v**3 - 17760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*a**6 + 2*a**5 + 9*a**4 - 128*a**2 - 3*a - 16 wrt a?\nAnswer: 6600*a**3 + 120*a**2 + 216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2401, -4812, -7231, -9658, -12093, -14536?\nAnswer: -16987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*o - 0, b + 4*o = -17. Let v be 1 + b - (-2 + -1). Find the third derivative of 2 - 3*i**2 - 2 - 3*i**v wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 4, o: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28528 - 28513. Solve -m*z + 16*z = -4*s + 12, 0 = 2*s + 5*z - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6585.04214213 + -6744.042141. Let g = -10.82 + -148.18. Let n = g - l. Round n to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 50 = -70. Let n be (6\/t)\/((-3)\/6). Solve n = 4*x - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5020*j + 0 - 39*j**2 + 0 - 2*j**3 + 32*j**2.\nAnswer: -2*j**3 - 7*j**2 + 5020*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + m = 13, 5*n - 81 = 5*m - 101 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((22\/(-385))\/((-20)\/600))\/(4\/117194)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(468) + 0 + sqrt(468) + -2 + sqrt(468) + sqrt(468)*3)*-4*-4.\nAnswer: -112 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + 9*u + 67. What is the remainder when o(-12) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1306*g + 38070. Calculate f(-29).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1845*r**2 + 128*r**2 + 132*r**2 + r**3 - 4252*r**2.\nAnswer: r**3 - 5837*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07 and 4409950.9646556?\nAnswer: 4409951.0346556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 - 34968\/95. Which is the closest to 0.1? (a) 0 (b) -2\/7 (c) 1\/4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523869793.\nAnswer: 3847, 396119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 18. What is the common denominator of (-6)\/16*w\/(-1) and -18\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209377 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 18*v - 438. Calculate t(13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1342, 804, 246, -338, -954, -1608?\n\"Answer: -s**3 - 4*s**2 - 519*s + 1866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-319)*(29\/(580\/(-40)))\/2\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2038, 28, 23 in ascending order.\nAnswer: -2038, 23, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 492*w**3 - 21969*w**2 - 141804*w + 164268.\nAnswer: -3*(w - 1)*(w + 9)*(w + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let k = -100 - -434. Let d be 2 + (-999)\/(-3) - 1. Let y(r) = -d + k - 2*r**2. Determine a(y(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {e: 2, x: 1, t: 1, z: 1, w: 2, h: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 6*n - 6. Let b be s(6). Let o be 162\/(-24)*80\/b. Let k = o + -37. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from eeeeezeqeezzzerr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 31. Does 5 divide (-5)\/l - 183\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y**2 - 42*y**3 + 26*y**2 + 34*y**2 - 15*y**3.\nAnswer: -57*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3208 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + 40. Suppose t - 16 = 5*y. Calculate the remainder when 26 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2147381929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/16 - 1*36\/(-6). Put n, -1, -57, -4 in decreasing order.\nAnswer: n, -1, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a. Let p = 40 + -37. Suppose -p*d + 16 = 1. Let z(r) = -4*r**2 - r**2 + 3*r**2 + d*r**2. Give s(z(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -244 - -162. Let y = 543 + -379. Let t = v + y. List the prime factors of t.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 3*t, 5*n + 2*t = 73. Let z = -9 + n. Suppose -5*s + m + 240 = 0, 0 = 4*m - m. Calculate the greatest common divisor of z and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(6*k + k + 10*k)*(-1 - 2 + 2)*(-k + 3 - 3) as q*k**2 + p + n*k and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/205788 and -87\/466.\nAnswer: 47948604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 7*v + 5. Let r be h(4). Let a = 24 - r. Let d(j) = j - 3. Let k be d(3). Solve 5*c - 4*y - a = 0, 0 = -c - k*y + 4*y + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*l - 0 - 11, 2*q - 5*l = -22. Does 27 divide (q - -5)*27*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -8*k**3\/3 + k + 5. Suppose 0 = -5*c - 47 + 187. Suppose 3*l = -5*n - 2*l + 30, -c = -3*n - 5*l. What is w(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 13*c + 25 - 13*c.\nAnswer: c + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16896 is divided by 14518?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 44. Let q be (-2)\/((-24)\/(-9)) + 7\/f. Let l = -901 - -164881\/183. Which is bigger: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4281733*m**2 + 457467*m + 1 wrt m.\nAnswer: 8563466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 75?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 29*l**2 - 30*l - 30. Let o be p(-30). Suppose -2 + 143 = 3*t. Let u = t + o. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o - u = 40, 0 = -5*o + 3*u + 57. Let w = -5 + o. Suppose 4*k - w = 8. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -10 (b) -5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42\/809 - 988\/12135. Which is the fourth biggest value? (a) -4 (b) -12 (c) 3\/7 (d) w (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 16\/(-10))\/(4\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 2. Let a be i(2). Let v = -626 + 25664\/41. Is v >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-27))\/(-1*(-6)\/(-18)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*c + 5*p - 7, -p = -c + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 23*b**2 - 23*b + 9. What is k(22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 843 - 263. Is 290 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a - 3, -o + 15 = -3*a. Suppose -10 = -l - o. Solve 3*g - 4*q = -33 + 1, l*q = g + 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 2*y + 0*y + 0*y - 2*y + 3*y + (-7 + 3 + 2)*(3*y - 2*y + 2*y) + 3*y - y - 3*y - 1 - 2*y + 1 in the form d*y + l and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*n - 6*n = -11, 4*v = 3*n - 5. Let r(u) = -3*u - 5. Let a(w) be the second derivative of -w**2\/2 + 6*w. Determine v*r(l) - 5*a(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*s = 33, -s - 4 - 1 = 0. Suppose 0 = -h*o - 3*d - 3, -2*o - 5*d - 12 = -o. Suppose 0 = 4*l - m - 77, -4*m + o = l - m. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*4*-2*sqrt(931))**2.\nAnswer: 2240*sqrt(19) + 953369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 7. Let n(j) = j + 0 - 7 + 6 - 1 + 1. Determine 2*n(b) + q(b).\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 - 36*u**4 + 124*u**3 - 204*u**2 + 160*u - 48 = 0. What is u?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t. Suppose -16 = -4*v - t. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6003 and 18423?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -7*w - 3428. Does 15 divide 4\/(-18) - 5\/((-45)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.64 and -0.0346801?\nAnswer: 8.6053199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -187 + 110 + 94 + 4*w - w. Let x be k(-5). Suppose -x*r = -3*f - 3*r + 5, -4*r - 13 = f. Solve -8*s + 36 = -f*s + 4*n, 0 = 5*s + n - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**3 - 3*j + 1. Let h(b) = 9*b**3 + 2*b**2 - 4*b. Let m(k) = 3*a(k) - 2*h(k). Let s be m(1). Let -3\/2*t + 1\/2*t**2 + s = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 + -0.2. Let z = d - -2.9. Let g = z + -0.32. Which is smaller: -1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311068 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjgglggvglljglj. Give prob of picking 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57420 divided by -10.\nAnswer: -5742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6060 (base 7) to base 3.\nAnswer: -2212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r. Let j = 7 - 8. Let f be (3 + j)\/(-2 + 4). What is the units digit of l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = o + 2, -145*o - 5 = -148*o + 5*k. Solve -4*y + 8 = 0, p + 5*y - 8 = -o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*q**2 + 408*q**2 - 71*q**2 - 117*q**2 - 106*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 29*g - 20 = 39*g - 63*g, 3*s + g + 4 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(380)*2)\/sqrt(10))\/(-4*(sqrt(72) + sqrt(72)*-5)).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/209 and 101\/152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4633 and 113.\nAnswer: 4633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-244)\/(-40) + -3 - 3. Let t = 13\/5 - x. Find the common denominator of 48\/5 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6551291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*k + 3*k**3 - k**3 + 312*k - 627*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -76*((-10)\/(-95) + (-242)\/(-1672))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 1. Let y be i(-6). Let u = y - 11. Find the third derivative of -5*k**u + 5*k**2 + 2*k**2 - 4*k**2 + 2*k**6 wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7281 (b) 68 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1402*i - 3175*i - 96988 = -1000*i + 142671 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 - 15*j**2 - 2*j - 251. Let r(v) = 20*v**3 + 61*v**2 + 9*v + 1006. Let l(w) = 9*m(w) + 2*r(w). What is the derivative of l(p) wrt p?\nAnswer: -15*p**2 - 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230590220 by 15991.\nAnswer: 14420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by 8.\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -15. Differentiate -18 + 23 - 7*s**3 + s**z with respect to s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 - (0 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose -3*j + 5*g - 1 + 5 = 0, -3*j = 4*g + 14. Let r be j\/4*(-3 + 1). What is the second smallest value in r, 2\/3, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1987*y - 69524 + 69524 as q + j*y and give j.\nAnswer: 1987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30795, -30794, -30793, -30792?\nAnswer: -30791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 9 - 1. Let x be 14\/(-7) - 8\/r. What is the first derivative of 1 + 0*j**2 - 4*j**2 + 3*j**x wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1372, -5, 40, 1 in increasing order.\nAnswer: -1372, -21, -5, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35617000 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7.2*-182\nAnswer: -1310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -22)\/(-12)*(-3 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1680 and -47\/1680?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - x**2 - 13 + 7.\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*c**2*r + 3*c**2 - 14*c*r**2 - 212*c*r - 2*c - 20758 wrt r?\nAnswer: 30*c**2 - 28*c*r - 212*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 divided by -2?\nAnswer: 337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280296500 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 86 (b) -4 (c) -3 (d) 24 (e) 9 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + z + 1. Let w(k) = k**3 - 4*k. Let c(d) = -2*p(d) - w(d). Give c(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, 1 z, and 1 k when four letters picked without replacement from mckgzkm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9973482 millilitres?\nAnswer: 0.0009973482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152064\/17 + -61584373\/6885. Let n = m + -2\/81. What is the closest to -0.1 in n, 6\/5, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112071950*n**4*o**2 - 2*n**2*o - 384*n**2 + 2*n*o**2 - 4*n*o + 165*n + 23 wrt n?\nAnswer: -2689726800*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 4*l**2 - l + 6*l**2 - 4*l**2 + 5. Let g be v(4). Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -11937\/8 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-6) + (-164)\/(-6) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 527 + -521. Suppose 2*r - 5 = 5*n, 18*r = 19*r + n - x. Solve 2 = a - r*b - 1, -3*a - 2*b = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463 = 295*z + 1415 - 7032 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 8 - 8242*b - 19 + 16119*b as y + g*b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86843\/14256 - -26\/891. Calculate the common denominator of g and -139\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -0.37. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8d49d (base 16) to base 15\nAnswer: b6712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235954229 is divided by 3041?\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3511*x - 3507*x + 4*g, 0 = x - 4*g + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 404 and -273.362?\nAnswer: -110438.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3029 + 3061.98. Let j = v - 33. Suppose -8 = 2*g + 2*g. Which is the nearest to g? (a) -5 (b) j (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41204 - 4?\nAnswer: 41200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7396 and 6591900.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 1. Let c be u(-2). Let i = -2 + c. Let j = 5 + i. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/49 and 54\/19?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7*2 + ((-14)\/182 - (-56)\/52)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, l: 1, d: 4}. What is prob of picking 2 e?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/126 and -43\/48.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -5, 0.08, -2\/13, 184?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 325019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 5 = 10*q, -2*q = -4*h - 10. Solve h*p = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 7, 8\/5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 6*m**2 - 3 + 3*m - 4 + 4. Let l be c(-5). Let q(b) = -b**2 - 13*b + 9. Let a be q(-5). Calculate the greatest common factor of a and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15*l + 299. Suppose 265*h = 253*h + 128 + 100. Determine g(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 240 = 5*w, 5*n + 4*w = 10*n + 1200. Calculate the lowest common multiple of n\/(-20)*(2 + 2\/3) and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 - y**4\/2 + 11*y**3\/3 + 5*y**2. Let f be o(10). Suppose 595 = f*b + 173. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 9*g**2 - 7*g - 7. Let y be p(8). Let r be y\/((-174)\/88 + 2). What is the greatest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r**(-3\/2)\/r*r*r*r)*r*((r**(-1)\/r*r)\/r)\/r*r\/(r**2\/r))**(-1\/57) assuming r is positive.\nAnswer: r**(-11\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, r: 1, w: 3}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107853317 and 9581.\nAnswer: 9581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 25\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -81*i**2 - 33. Let s(k) = -5*k**2 - 2. Let v(w) = -2*h(w) + 33*s(w). Let o(p) = 1. Let t(z) = -z + 4. Let r(j) = 4*o(j) - t(j). Determine r(v(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 + -1234b7?\nAnswer: -123477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3344 + -1104300?\nAnswer: -1112044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 29398457161\nAnswer: -29398457160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 91702890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3874.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-2 + 3 + 0)*(-3 + 0 + 7)*(-h**5 - 2*h**5 + h**5).\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -9. Let a = -88087\/6 - -14681. What is the second smallest value in y, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 73 - 8*c - 2*c - c - 7. Let i(m) = -2 + 1 + 2. Let a(l) = 66*i(l) - z(l). Let k(x) = 4*x. Calculate 3*a(f) - 8*k(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 21 = -86*x + 174*x - 89*x, m + 3 = 8*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -652140822 - -2?\nAnswer: -652140820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2560, 5125, 7678, 10213, 12724, 15205, 17650?\nAnswer: 20053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517093 and 12638?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60346 + 7*f**2 + 60346.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216 or 357986\/1647?\nAnswer: 357986\/1647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/29 + 39\/145. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106994 and 349046.\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6806, -8698, -11868, -16328, -22090?\nAnswer: -29166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27394 is divided by 885.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*q = -26, -38*h - 6 = -35*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 16. Let m(i) = i**2 + 11*i + 3. Let h be m(d). Suppose 0*c = h*c - 351. Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**2. Let b(t) be the first derivative of t**3\/3 + 10. What is b(i(j))?\nAnswer: 49*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 345398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or -325.99?\nAnswer: -325.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3.6882 times -0.2\nAnswer: -0.73764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + -1 + -16 + 39 - -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 0*r + r)*(0*r**2 - 65*r**2 + 9*r**2)*(323 - 323 - 83*r) to the form o*r**4 + a*r + j*r**2 + b + g*r**3 and give o.\nAnswer: 4648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1206, 1205, 1204, 1203, 1202?\n\"Answer: -n + 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 32*f**2 + 3*f + 17. Is g(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apaaajpaapapaa. Give prob of picking 2 a.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 4551?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276457 and 327.\nAnswer: 90401439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000101 - 100?\nAnswer: 1011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 6*n**2 + 7*n + 2. Let i be j(6). Let m = i + -690. Solve 0 = -5*q + m*t - 5*t - 1, -6 = 2*q + 4*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -19, 1, 3 in descending order.\nAnswer: 3, 1, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-68)\/(-8) - 2). Suppose -10*s = -21*s + 165. Let z = 27 - s. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -86*s**3 + 2*s**2. Let z = -33977 - -33928. Let m(o) = -2065*o**3 + 49*o**2. Give z*l(k) + 2*m(k).\nAnswer: 84*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 + -11 + 0 + -3070000. What is y rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1049, -927, -807, -689, -573, -459, -347?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2668204?\nAnswer: 2, 7, 11, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3*v + 9 = -2, -5*y + 3*v + 29 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Which is the smallest value? (a) d (b) 4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-2 + 0 + 1). Let v be (2 - n) + 3\/(-12). Let h(t) = 19*t**2 - 35*t - 7. Let u be h(2). What is the smallest value in u, v, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2035, -2033, -2031, -2029, -2027?\n\"Answer: 2*n - 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*c - 164, -3*c + 97 = k - 0*k. Calculate the greatest common factor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -106. Let l(f) = 3*f**2 + 8*f - 81. Let t be l(5). Let d = x - t. Which is the closest to -0.08? (a) 0.3 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 - 5619*w**2 + 22392*w + 67284 = 0. What is w?\nAnswer: -2, 6, 1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003754 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4 + -1 + 1*sqrt(1900) - (-1 + 3 + 2*sqrt(1900))**2))*-5.\nAnswer: 350*sqrt(19) + 38055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/5 and -57\/355.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 12*p**2 + 21*p - 5. Let q be n(10). Suppose -q*b - 19 = -29. What is the remainder when 2 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 28691?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17225 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/36 - 52\/(-9). Let c be l\/(-9) - (-11)\/3. Let i be 2\/10*(0 + c). Sort i, 0.1, 2\/3.\nAnswer: 0.1, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*i**3 + 0 + 56\/3*i - 2\/3*i**2 + 1\/6*i**4.\nAnswer: i*(i - 28)*(i - 2)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) - -1*sqrt(128))*-1 + sqrt(128))*6)\/(3*sqrt(12)\/sqrt(3)*3*-3).\nAnswer: 8*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300697 and 27230.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 0.2 (c) -0.09 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 2, p: 2, d: 1, a: 2, n: 3}. Give prob of picking 1 q, 1 a, and 2 t.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - -2. Suppose 0 = -x + 5*r + f, 2*r - 17 = -x - 2*x. Solve 3*o + 0*o + x = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2. Let f(x) = -2844*x. Calculate d(f(t)).\nAnswer: -56618352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5*(-5 + sqrt(245)*-2*-5))**2 - (1*(4 + (sqrt(245) - (1 + sqrt(245)) - sqrt(245)) + 2*(sqrt(245) - -1*sqrt(245) - sqrt(245))))**2).\nAnswer: -2451484 + 70168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 276.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20)*2)\/(7\/((-1610)\/(-3772))).\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -124?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*w + 42. Suppose -63 = -w*m + 933. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (2 + 2)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 5:14 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - a = -133 - 51, b + 3*a + 24 = 0. Let f = b + 38. What is the derivative of -l**4 + 12*l**2 - f*l**4 - 5 - 12*l**2 wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 25. Let c = 38 - 23. Let p be q(c). Let y be ((-72)\/p)\/((-12)\/(-9400000)). Round y to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 590221 and 3508.\nAnswer: 2360884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 760960 and 480.\nAnswer: 2282880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707324680*i**2 + 1414649391*i**2 - 707324681*i**2.\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -54332410?\nAnswer: 54332411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c**6 + 0*c**4 - 1\/10*c**5 + 2*c - 19\/30*c**7 + 2\/3*c**3 + 0 + 49*c**2. What is the third derivative of f(t) wrt t?\nAnswer: -3192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 1, c: 1}. Give prob of picking 1 h and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 4784.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35514 - 0.06.\nAnswer: 35513.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4 + 100*h**3 + 370*h**2 - 1540*h - 1815 = 0.\nAnswer: -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -36*o - 12192. Give g(-199).\nAnswer: -5028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:50 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/13 + (-536)\/(-104) + -5. Let i(s) = -18*s. Determine i(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*q + q - 1640, 5*r = -3*q + 1241. Let z = q + -397. Calculate the remainder when 59 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-17 - -52) - 133?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(2 - 6 - 2)*(4 + 1 - 6)*(1 + 2*g - 1) + 3 - 9*g + 25*g - 13*g.\nAnswer: -9*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 8. Let w be m(6). Which is bigger: w or 43?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*d - 299 = -4*p, 5*d = -p + 111. Calculate the remainder when p is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1934 = 5*g, -g - 10 = g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352.549 rounded to 0 dps?\nAnswer: -1353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -107635438.\nAnswer: 107635459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/20 - 5*d**4\/6 + 5*d**3\/3 - 5*d**2\/2 - 235*d. Calculate o(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 5*q + 1. Let a(h) be the third derivative of -h**4\/24 - h**3\/6 + 17*h**2. Let b be a(-6). Suppose -b = -i - 1. Calculate y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175995.4 to the nearest one hundred.\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 38221723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1224510 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - p = -100, y + 3*p - 36 = -0. Calculate the highest common divisor of y and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/23880460 and -61\/96.\nAnswer: 573131040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-9 + 17 + 20 + -31 + -115 + -1)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169782 and 2093978?\nAnswer: 6281934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/3, -3, -6, -0.3, -0.0464?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2805 + 4763 = -399*a - 1609 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*z**2 + 84*z**2 - 1 + 11 - 9 to y*z + p + u*z**2 and give u.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.2 (b) -0.14 (c) -1 (d) -4\/7 (e) -5865\/7 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005114 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 9*q + 1. Let u be l(-9). Is (-6)\/(-2) + (309 - u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**6\/10 - 13*f**5\/50 + 7*f**4\/20 + 2*f**3\/3 - 6*f**2\/5 + 13*f - 2. What is c in s(c) = 0?\nAnswer: -2, -1, 3\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**2 - t - 1. Let c be p(-1). Let j be (2 + -3)*-2*2. Let w be 3\/j*(37 + -1). What is the highest common divisor of w and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9 - -30)*10\/6 is divided by (-1 + 2)*(-30 + 29)*-53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -264*s**2 - 264*s**2 + 529*s**2 + 1. Let q(v) be the first derivative of 4*v**3\/3 + v**2 + v - 5. Determine 3*g(i) - q(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 29 + 3*w**2 - 39.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1350)\/(-396))\/(-25)*4\/1.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {y: 3, u: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**3*p**2*q - 3*m**3*p + 8*m**3*q + 3*m**2*q + m*p**2 - 2*m*p - 2*p**2*q + 4*p*q wrt m.\nAnswer: 42*p**2*q - 18*p + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 1. Let k = -77 + 78. Suppose 0 = -3*s + 4*j + 29, 2*s - 4*j = 6*s + 8. Let f(v) = 1. Give k*o(z) + s*f(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19726 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 21*y**2\/2 + 28. Let a(n) = 9*n - 21. Let d(c) = -c + 2. Let h(s) = 2*a(s) + 21*d(s). Give h(f(u)).\nAnswer: -63*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13864277 and -0.017.\nAnswer: -235692.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -349 divided by 4\nAnswer: -349\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Suppose -7*g + s*g = -25. Solve 4*l + g = 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqqwqwwqqqqqwqwwwqq. What is prob of picking 2 w?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5967 - -5869) + (187 - -1)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062696 to 5 dps.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -4.1. Let n = o + -0.3. Put -3\/5, n, 2\/13 in decreasing order.\nAnswer: n, 2\/13, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/5 - 24*r**2\/5 - 22*r\/5 = 0. What is r?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*q - 2, 0 = 5*n + 5*q - 1 - 9. Let o be (522\/(12\/n))\/(3\/11000). What is o rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 47*f - f**3 + 3 + 0*f**3 - 44*f. Let m(x) = -x**3 + 2*x + 2. Calculate 3*m(r) - 2*n(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2357\/4 + -598. Let i = 191\/20 + x. Factor -12\/5*h**3 + 0*h + 0 + 12\/5*h**4 + 4\/5*h**2 - i*h**5.\nAnswer: -4*h**2*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + 2 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307726768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 divided by -94?\nAnswer: -173\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13 = -5*b, 9 = 2*v + 3*v - 3*b. Suppose -5*n = -3*l - 20, -v*n - 5*l = -6*n + 28. Let r = -4.6 - -0.6. Is n less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506708 divided by 3?\nAnswer: 502236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 1200*q - 1195*q + 38 = 0, 8*q + 44 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 take away -454498?\nAnswer: 454432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -58.6. Let d = -321.93 - -288. Let x = s + d. What is x rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 - -1082\/7. Let p = 3 + 3. Let y = -20\/3 + p. What is the biggest value in o, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*h**2 - 9*h + 288 wrt h?\nAnswer: 10*h - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2127642*j**3 - 1063947*j**2 - 63*j.\nAnswer: -3*j*(2*j + 1)*(354607*j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/68 and -47\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 3*y + 3. Let v(u) = -u**2 + u + 1. Let r be 2 - (-4)\/2 - 1. Give r*v(m) - n(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6)*2)\/(396\/36).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208 divided by 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1621*o - 12948. Calculate n(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-85)\/(-170))\/(((-1)\/2098)\/(-1)) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = -120. Suppose -y = -0*y + h. Let m = 36 + y. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566 (base 7) to base 3.\nAnswer: 101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 144 + 53 + 48 + 8*k.\nAnswer: k + 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(228))\/sqrt(3).\nAnswer: -2*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -16. Let b be 2\/p + (-26)\/(-6). Suppose 0 = -2*q + 3*q + 5*m - 61, b*q - 223 = m. Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23436923.\nAnswer: 23436923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(17) + sqrt(17) + sqrt(17)*2 + -4)**2.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 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 is the second derivative of -24262*o**2 + 2382*o - 2?\nAnswer: -48524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -136?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 503 + -503.02. Let j = 2 - 15. Let i = j - -10. Which is the smallest value? (a) i (b) -3\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6 + 6 + 6 - 3*l**2. Let h(t) = -t**2 + 1. Calculate -5*h(v) + y(v).\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/12)\/((-1)\/6). Let l(o) = o. Let g(z) = 4*z + 19. Let v be g(-6). Let r be l(v). Sort r, x, 0 in decreasing order.\nAnswer: x, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 + 30 = 0. Which is the closest to 9? (a) k (b) 5 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -119.99973. Round o to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2202 and 14977637?\nAnswer: 89865822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose 632 = 7*o - g*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (0 + 1 - (-160 + 170)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*(-10)\/3. Let a(t) be the first derivative of -t**2\/2 - 3*t + 68. What is a(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*w + 58*w - 7. Suppose -w*r + n + 22671 = -3*r, 4*n - 11358 = -2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(240\/(-5)))\/(1\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-5)*(-5)\/1. Let x(p) = 2*p - 6. Let k be x(8). Suppose k = v*j + j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 19. Let o(b) = -16*b**3 + b**2 - 1. Calculate o(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**3\/6 + 2*h**2. Let b be 1 - -3*(-21)\/9. Let s = -10 - b. Let k(u) = u + 4. What is s*q(t) + k(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/54 and 137\/17142.\nAnswer: 154278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66194 - 24456. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 46. Let b be v(-5). Let n = 5 - 5.4. Let f = 1 + -2. What is the closest to b in 2\/11, f, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -0.02249\nAnswer: 0.24739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 12 = 2*p - 27, -2*y = -3*p + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l - 72*l = -230. Calculate the highest common factor of 207 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(sqrt(152) - (sqrt(152) + 3*sqrt(152))))\/(6*-5*sqrt(24)\/sqrt(3)).\nAnswer: -18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*r + 5624, 0 = c + 2*c - r - 8462. Suppose 4*w - c = -9662. What is w rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -149035 + -3?\nAnswer: -149038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 - 149. Let y(s) = -s + 2*s**2 - 1 - 3*s**2 + 5*s. Calculate y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - x + 2*x + 2*x - 6*x + (-x + 3*x + 0*x)*(4 + 0 - 5) + 2*x - 2*x - x - x - 2*x + 2*x - 3*x - x + 2*x + 3*x - 103 + 103.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2270768?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 13*i**2 - 6*i - 5. Give h(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8772.738 tonnes in kilograms?\nAnswer: 8772738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711368 to the power of 1\/2, to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879*u = 919*u - 1200. Solve 0*d + 15*d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Let j(f) = f**2 + 4. Let y(a) = -2*a**2 - 175*a + 270. Let s be y(-89). Calculate s*j(n) + 4*t(n).\nAnswer: 3*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 4. Let l be o(-5). Let i = 34 + 31. Let p = i - l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*o**4*x + 2193*o**3*x**3 - 2*o*x**3 + o*x - x**3 - 253379*x wrt o?\nAnswer: -1032*o**2*x + 13158*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, w: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((675\/(-40))\/((-175)\/140))\/(9\/(-18)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k + 2. Let u be w(-2). Suppose 0*d + 10 = d - 3*z, 2*z + 12 = 2*d. Suppose 0 = d*i + i. Solve t - n = -1, -t + u*n - n + 9 = i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**5\/35 + 83*b**4\/21 - 2*b - 219. Suppose r(c) = 0. Calculate c.\nAnswer: 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((700\/2772)\/5)\/(15\/(-18))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-15))\/(9024\/(-50760)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 0 + 2 + -3. Suppose -3*q + 0*t = -m*t + 25, t - 5 = 4*q. Solve q*v - v - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 5, -9, 0.241502, 1, 0.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 570 divided by 114\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787929 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6118 + -6114. Let d = -0.1 + 0.1. What is the smallest value in g, d, 3\/5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*w + 116*n**3 - 363*n**2*w**3 with respect to w.\nAnswer: n**3 - 1089*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 358\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.1. Let w = 3.5 - 3. Let t = 1.5 + w. Is b less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - (sqrt(102) - (-4*sqrt(102) + sqrt(102)))) + sqrt(102))\/sqrt(6)*4.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033926828 to six dps.\nAnswer: 0.000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as -185483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m + 56. Let p be r(7). Let o be p\/5 - -2 - (-38)\/35. What is the nearest to o in -2\/17, 8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*b, 2*b + 4 = -4*x + 6*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 35*h**3 + h**2 + 16*h - 25. Let m(z) = 73*z**3 + 3*z**2 + 33*z - 53. Let s(d) = 12*m(d) - 25*p(d). Calculate s(-12).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = -2*c - 13, 3*c = -4*k - 5. Let d(r) = -6*r - 1. Let l be d(-1). Suppose j = -l, -258 - 292 = -c*z - 3*j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 6. Let z = -8 + h. Which is smaller: z or -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 10100. Let i be 3 + 0 + (-9)\/3. Let a be m(i). What is a rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 3:31 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2096747 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2974 or -2976?\nAnswer: -2976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-2)*(-150084)\/(-22)?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -947953786+-275284\nAnswer: -948229070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*a + 4*p, 2*a - 3*p = 1 + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -22809368.2 and 44.1.\nAnswer: -22809324.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -2127780191?\nAnswer: -2127780195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 330 - -308. Let a = 643.98 - u. What is a rounded to 1 decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((4*sqrt(448))**2 - sqrt(448)).\nAnswer: -8*sqrt(7) + 7170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 11:34 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 316\/(-3) + 9\/27. Let l be (-3)\/7*c\/(-120). Is l bigger than 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z. Let o(p) = 6*p**2 + 4*p. Let c be (4\/(-12))\/(1\/(-3)). Suppose -5*u + 4 = -4*m - 1, 0 = 2*m - u - 5. Calculate c*o(g) + m*w(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 866.873 centuries?\nAnswer: 8668.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 468 + -460. Suppose -3*k - 3*w + 9 = 0, -5 = 4*k - 5*k - 2*w. What is the lowest common multiple of (5 - k)*(2 - 1) and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1160800 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3490*v**2 + 28656*v**2 - 12269*v**2 in the form b*v + t + a*v**2 and give a.\nAnswer: 19877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/8 (b) 6\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2789 - 4 - (2 - 5 - 0). What is n rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/14944 and 1\/10810116?\nAnswer: 86480928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7895839 + 3099*t - 7895839 to o*t + u and give o.\nAnswer: 3099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - b + (1 - 2 + 0)*(b + b + 0*b))*(-4*b**2 + 4*b**2 + b**3)*(37*b - 36*b - 22*b).\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 50*o**2 - 20*o - 200 = 0. What is o?\nAnswer: -10, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 36 = -6. Suppose 3*l = s*l - 48. Let b(x) = x**2 + 6. Calculate the remainder when l is divided by b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-302)\/(-2) - 4\/(8\/6). Let j = 219 - g. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/4 + 2*t**3 + 2*t**2 - 1036. Let n(i) = i**3 - 3*i**2 - 2*i. Let w = -3 - -8. What is w*n(f) + 3*m(f)?\nAnswer: 2*f**3 + 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001111101 + -1100?\nAnswer: -11010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*m, 5*y - 17 = -7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 21108 in increasing order.\nAnswer: 0, 7, 21108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 885\/6*6\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(95) - (sqrt(95) + (1*(-2*sqrt(95) + sqrt(95)) - sqrt(95))))\/sqrt(5).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948905400.\nAnswer: 2, 5, 13, 53, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58338691.\nAnswer: 29, 281, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 127, 9, -2, -5, -19 in ascending order.\nAnswer: -19, -5, -2, 3, 9, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -204?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:43 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 0 + 0 + (-1780*v - 2696*v + 1155*v)*(v - 6*v + 4*v) as x + p*v + n*v**2 and give n.\nAnswer: 3323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148142*q + 18*q**2 - 5*q**2 - 148142*q - q**3 - 13*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-10) + (4\/(-52) - -2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)\/(1\/(-20)). Let d = 22 - o. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 13) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8 - x + x**3 + x + 3*x + 10*x**2. Let k = -220 + 211. List the prime factors of u(k).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1077\/2 + -551. Are -14 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7523432.74 to the nearest 100.\nAnswer: 7523400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5868556 years?\nAnswer: 0.05868556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srss when four letters picked without replacement from {r: 2, s: 16}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17840540?\nAnswer: 2, 5, 892027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and 461925.1?\nAnswer: 24020105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9213 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132021 (base 6) to base 4.\nAnswer: 2331031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, -2\/3, 1\/51, 80, 2\/7.\nAnswer: -2\/3, 1\/51, 2\/7, 1\/2, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504307 is divided by 50428?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250) - ((sqrt(1250) - 1*sqrt(1250)) + -5))**2.\nAnswer: 250*sqrt(2) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18275156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - -2*(sqrt(891) + (-2 + sqrt(891))**2).\nAnswer: -45*sqrt(11) + 1790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*f - 7*f - 1910, f = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 - 6 - (-2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/104996 or 1?\nAnswer: -11\/104996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92678343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - s)*(3*s**4 - 9*s**4 + s**4) + s**5 - 3*s**5 - 4*s**5.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19*v + 66. Let b be n(24). Suppose -11*k + b = -14449. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + i**2 - i - 1. Let y be u(-5). Let c = -551 - y. Is 6*(c\/(-9) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 - (-4387 + 4403 - (16 - 0)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b - 3. Let s be a(-7). Suppose -28 = -2*y + z + s, 4*y - 3*z - 148 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**4\/4 - 4*i - 1. Let c be d(0). Calculate the remainder when 15 is divided by -8*(14\/c + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:12 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-527167)\/(-316))\/(1 + 3\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - (1 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2004 and 2004 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -17 - (0 - -1)) + (-1 - 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 1. Let t(w) = w + 4. Let l be t(s). Let z be 44 + -1 + (0 - l). What is the greatest common factor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*y - 5*y + 9 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 15*o**4 - o - 191 - 3*o**2 + 189 to k + v*o**2 + f*o**4 + t*o**3 + z*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 6*i - i. Let h(l) = -l**2 - 7*l - 4. Let k be h(-3). What is the remainder when (-100)\/k*16\/(-10) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*b - 19 = 0, 139*m - 144*m - 5*b = 105 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -276\/5. Let v be 0 + (120\/(-295))\/(-2). Let y = 418\/1475 - v. Sort k, y, 0.2, -3.\nAnswer: -3, y, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u - 22*u - 2 + 37*u + 1.\nAnswer: 74*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 48 = 2*g. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 2422262681653\nAnswer: 2422262681653.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 7*i**2 - 19\/6*i**3 + 0 + 0*i + 137\/24*i**4. Is j(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 4992?\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 + 3*j - 4. Let c be (2\/(-2))\/(1\/(-9)). Suppose 0*p = 3*p + c. List the prime factors of n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0606835261 rounded to 3 dps?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 0.00297089.\nAnswer: -0.0000891267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5\/7 + 19044*h**4\/7 + 30146565*h**3\/7 - 242030160*h**2\/7 + 82207596*h - 51941232 = 0.\nAnswer: -3178, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (11 - -6) + (-12 - 2)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*d - 5*h, -d + 2*h + 78 = d. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 + -7)\/((-6)\/328*2). Let u be (37 + -40)\/(-1 + (-76)\/b). What is the greatest common divisor of 287 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t. Calculate p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374203?\nAnswer: 374203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - o = 16, 501*s = 498*s + o + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96259457 to the nearest integer?\nAnswer: 9811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16466531322.02 - 18\nAnswer: -16466531340.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 648 = -4*k - 5*r, 5*k + 3*r = 762. Calculate the greatest common divisor of k and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -382 + 239. Let f = 6001 - 48093\/8. What is the common denominator of f and g\/(-24) - 1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mimi when four letters picked without replacement from isssisismlslmsl.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b - 10. Give r(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82777 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*s = 17, -2*b + 5*s - s + 18 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/15, 36, -3\/23?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39c95 (base 14) in base 2?\nAnswer: -100010110001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124 + 2002304?\nAnswer: 2002160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 + p**2)*(-4*p + p + 2*p) - 6*p**3 + 12 - 12.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54153 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 38, 117, 270, 521, 894, 1413?\n\"Answer: 4*i**3 + i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + 3059.5.\nAnswer: 3059.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - 10*y + 145. Give i(0).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153096 divided by -8.\nAnswer: -19137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209069 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:52 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-24)*(18\/10)\/(-3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -217*i + 103. List the prime factors of l(-19).\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 - 1500*o**2 + 182700*o - 7276500 = 0.\nAnswer: 105, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 6*f + 4*f = -29, 0 = -4*l + 5*f + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:07 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1000010110011001110?\nAnswer: 1000010110011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(78) + sqrt(78) + -5*(-2*sqrt(78) + sqrt(78)))\/(3*(sqrt(96) + sqrt(96) + 2*sqrt(96)) - sqrt(96))*2.\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o**3 + 27*o**2 - 34*o + 15. Let n(x) = 8*x**3 - 18*x**2 + 23*x - 10. Let s(v) = -7*n(v) - 5*r(v). Give s(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -22. Let p(f) = -f**3 - 6*f**2 + 4*f + 5. Let g be p(c). Factor -j**4 + 10*j**3 + 0*j**4 - g*j**3 - j**4.\nAnswer: -2*j**3*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/6 + -2)*3. Suppose -k*f + 17 = -3*u, 4*u = 8*u - 2*f + 6. Which is smaller: u or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447501, -447139, -446535, -445689?\nAnswer: -444601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((44\/(-55))\/(704\/(-120)))\/(2\/(-8)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omkqlmo. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 - 9*j**2 + 4*j + 3. Suppose 6 = -13*g + 15*g, -8 = 5*c + 4*g. Let p(x) = 5*x**3 - 8*x**2 + 3*x + 2. Determine c*p(l) + 3*y(l).\nAnswer: -2*l**3 + 5*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -82740 divided by 9\nAnswer: -27580\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1664)*2)\/(sqrt(2) - (sqrt(2) - sqrt(288)*-2)) + -4.\nAnswer: -9 - 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 9:03 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-15) - (-25446)\/180*14. Let m = l - 1061. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = v, -2*u + 4*v - 11 = -1. Suppose -5*p + u*g + 2770 = 0, 4*p + 4*g - 2221 = 7*g. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -865806 - 46?\nAnswer: -865852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2377500 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -700 and -700 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5054.101 - 5136.2. Let x = 82 + t. Let r = 0.027 - x. What is r rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*k = -1768008, 142*b - 1767999 = 139*b + 2*k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -x - 18 - 6, 3*x = -9. Find the third derivative of -2*k - 9 + l + 14*k**2 + 36*k**4 + 2 wrt k.\nAnswer: 864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 7, y: 1, l: 12}.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 1.4. Is 0.02 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.02, 1571, 2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.539 and 10.1.\nAnswer: -318.5439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 17*p**2 - 4*p + 0*p**2 + 14*p**3.\nAnswer: 14*p**3 - 17*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -22. Let o be (-28 - b)*(-2)\/8. Let j = o - 4. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1 - (632 - (11 + 4)). Which is smaller: a or -623?\nAnswer: -623","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183567771?\nAnswer: 3, 31, 73, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8024626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 801746689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 26701.\nAnswer: 133505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**4\/u)\/u)**(-9\/11))**42 assuming u is positive.\nAnswer: u**(-1134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 17*d + 20*d - 18 = 0, 2*f = 5*d - 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1987\/992 + -1 - 1)\/((-72)\/24). Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*o + 111 + 174 = 0, -68 = -i - 2*o. Suppose -11*p - 59 = -12*p + 5*n, 5*n + 206 = 4*p. Calculate the least common multiple of p and i.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q**2 - 4*q**2 + 19*q**3 - 33 + 36 in the form r*q**2 + v*q + d + j*q**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15879*n = -16127*n + 1984. Let i = 90 + -62. What is the remainder when i is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11189503 to the nearest integer?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 5. Let f(p) be the third derivative of -p**5\/60 + 7*p**4\/24 - 8*p**3\/3 - 29*p**2. Let d be f(4). Let m(l) = -2*l + 6. Give d*a(j) + 3*m(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - 3*p**2 + 2*p + 5. Let r be d(-2). Solve 0 = -14*f + 9*f + r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 98637\/441 + (-4)\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d + 31. Give l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 10, 5*w = s + 80. Let g = -52 - s. Let c(j) = -j**2 + j + 6. Let p be c(g). Solve p*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.16981\nAnswer: -0.33962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/1275)\/(8\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 7, z: 4}. What is prob of sequence kkt?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71a22a (base 12) in base 8?\nAnswer: 6624702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145 - 2211?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 0. Let t be 3\/((-10)\/(-4) - z). Solve -a + 3*u = 3*a + 1, t*u = a - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 47910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92\/16*(2 + 2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(1 + 4 + 0)*(-6*c + 4*c + c)*(-19*c + 27*c + 158*c).\nAnswer: -1660*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*y = -72, 0 = 2*i - 3*y + 7*y - 64. Suppose 3*t - 95 = 2*f, 5*t = 2*t - 5*f + 88. Let w = i + t. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.12, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-13)*x*((x*x**8)\/x)\/x)\/(x**(-21\/2)\/(x\/x**(2\/11))) assuming x is positive.\nAnswer: x**(161\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 8 = -4*x. Suppose 3*t - 114 = -x. Calculate the highest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 465 + -97. Suppose -3*l + 2*v + u = 0, 4*l - 484 = v - 0*v. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 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: Simplify (j**5)**(-16\/7)\/(j\/j**(-8)*j*j**16) assuming j is positive.\nAnswer: j**(-262\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/78*6*8\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 20 = 5*f - u, 0 = -2*f - 4*u + 34. Suppose 0 = 3*q - f, 5*t - 3*q + 5*q = -849. Let j = 298 - t. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6480 = -718*z - 11470 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f. Suppose 0*x + 3*x - 132 = f. Suppose 5 = 5*p + 4*i - x, 3*p = 2*i + 47. Calculate the greatest common factor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31763 and 630430.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8688*x**2 + 18*x + 14. Calculate the remainder when j(-1) is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1) + (-139 - -143).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 63*h - 53. Let g be q(-58). Which is bigger: g or -339?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-936)\/15)\/((-6)\/80). Calculate the highest common divisor of 26 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l + 58 - 204 - 14 = 0. Solve -4*r - 15 = 3*q, 27 = 4*r - l*q + 37 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 961*h**6*n**2 - 2*h**2*n**2 - 395*h*n**2 wrt h.\nAnswer: 115320*h**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/5 - 152\/20)\/2. Is (o - 270)\/(-1) - (0 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 118, 281, 544, 901, 1346?\n\"Answer: -c**3 + 56*c**2 + 2*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 10*u**2 + 5*u - 2. Let v(f) = -f**3 - 5*f**2 + 3*f - 1. Determine 3*p(y) - 5*v(y).\nAnswer: 2*y**3 - 5*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11425*n**2 - 11474*n**2 + 23626*n**2.\nAnswer: 727*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11027.\nAnswer: 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 2679774.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*u - 4*u - 530, b - 4*u = 143. List the prime factors of b.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eekk when four letters picked without replacement from oroeerkkoooooeeeod.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 3, z: 2, j: 2, m: 1, r: 6}. Give prob of picking 1 r and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/432*1\/(2*(-2)\/12)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -142, -282, -468, -700, -978?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47445 by 26.\nAnswer: -47445\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 134242.11 months?\nAnswer: 11.1868425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -1809209.33824.\nAnswer: -1809209.33824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3081386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-8787)\/(-183) + 66\/(-4026))\/(12 - -2)\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = 4*p, -4*u + 87 + 21 = -4*p. Suppose -4*s - 2*d = -7*s + 31, -2*s + 2*d + u = 0. Solve -5*o - 5*n - s - 16 = 0, -2*o - 3*n - 14 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 18. Let x be 28\/f*(-3)\/(-4). Suppose -3*g - 23 = -4*q, -3*q + 7*g = 2*g - 31. Solve -x = q*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6249425 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 993. Is h(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2987034, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/90 and -19\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from ikrwmkt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 501832 or 501831?\nAnswer: 501832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**2*v**2*w + 195*o**2*v**2 + 6*o**2*v*w - o**2*v - 7*v*w - 2*v wrt v?\nAnswer: -4*o**2*w + 390*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 9*o**2 + (4 + 0 - 5)*(2*o**2 + 5 - 5) + (o - 3*o + 0*o)*(-o + 0*o + 3*o) to w*o + j + l*o**2 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.1 (b) 2 (c) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -892000 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/(5 - (-297)\/(-55))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76282730 to the power of 1\/2, to the nearest integer?\nAnswer: 8734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2913*w - 2865*w + 5869*w.\nAnswer: 91*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432)\/1188*(-220)\/(-1640)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.3 + 5.03. Let s = -0.14452 + 0.4135. Let f = s + a. Round f to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -385 in 0.2, -5, -3, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17*n - 5. Let p(h) = -10*h - 3. Let l(j) = -3*a(j) + 5*p(j). Suppose -3*y = 3*b - b - 25, -y = -5. Give l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v*v\/(((v**(-1)*v)\/v)\/v)))\/v**(2\/17))\/(v\/v**(2\/5)*v)**(-36\/5)*(v*(v**(-1)\/v)\/v*v*v)**10\/(v**0*v)**(3\/37) assuming v is positive.\nAnswer: v**(162302\/15725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.59759 to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2149 + 36588. List the prime factors of j.\nAnswer: 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 1978*w**2 + 3 - w**3 + 670*w**2 + 663*w**2 + 666*w**2.\nAnswer: -w**3 + 21*w**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 1, t: 2}. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q**2 - 6*q + 27. Let g(x) = -122*x + 64*x + 7*x**2 + 61*x - 13. Let z(n) = 11*g(n) + 6*s(n). Let f be z(-6). Which is smaller: -1\/52 or f?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27612 is divided by 476.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.015*-2\nAnswer: 6.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrsqamsqaramrsmrs. What is prob of sequence arss?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2869020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - -6) + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, v: 7}. Give prob of picking 2 v.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.29 - -2.29. Let w = -268\/695 + -2\/139. Which is the nearest to z? (a) 3\/2 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1069353 and 1069354 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 0 - 49\/16*j**3 + 0*j - 1\/160*j**5 + 19*j**2 + 7\/32*j**4. Find i, given that o(i) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.084939*12.3.\nAnswer: -1.0447497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2986821 (base 10) in base 5?\nAnswer: -1231034241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = 2*d. Let k(r) = r**2 - r - 1. Let b be k(d). Solve -3*l - 13 = -2*f, 3*l + b + 9 = 5*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 less than 21.3?\nAnswer: 181.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -185.13633*0.02\nAnswer: -3.7027266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxgg when four letters picked without replacement from {d: 3, g: 8, u: 2, x: 3}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 49 = 2*i - 5*c, 0 = 3*i + 5*c - 38. Suppose 7*j - 4 = i*j. Let v(k) = -k. Let h be v(5). Put j, -4, h in ascending order.\nAnswer: h, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244835678.\nAnswer: 2, 122417839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13248 and 14835?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 3\/4, 0.5, -0.1271, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*s + 30*s + 35*s + 2*s**2 + 132 + 13*s wrt s.\nAnswer: 4*s + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-266)\/(-2527)*3\/12?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2312)\/16 - 7\/2 - -10\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(832) + sqrt(832))*-6)**2.\nAnswer: 2995200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10962 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932703 to the power of 1\/2, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 145. Which is smaller: 2\/63 or u?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231386464?\nAnswer: 2, 7230827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 20, 24 = -4*n - 4*b. Let d be (-1 + 2)\/(2\/(-34)). Let y = n - d. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 5*c**4\/12 - 2*c - 407. Let v(j) = 3*j. What is v(y(s))?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1146, -38.\nAnswer: -1146, -38, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24147517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1601 - -1610. Let a(b) = 4*b - 4. Let m be a(10). What is the greatest common factor of m and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8431168971 + 8431149738.0329825. Let z = f + 19233. Let j = z + -0.033. Round j to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydxaxaekd. What is prob of picking 2 a and 2 x?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*z = 9, 3*p - 3 - 1 = -5*z. Suppose -2*x - x = -p. Let i be (3 - 2) + (2 - x). Solve -f + 4*b + 4 = 6, -f = 3*b + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 19 - 17*n to the form c*n + h and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*m**4 - 4619*m**3 + 4619*m**3 + (-2*m**4 + m - m)*(3 + 2 - 3)*(2 + 2 - 2) to the form b*m**3 + p*m + u*m**2 + w*m**4 + o and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120130 by -24026.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-524 + 524 + 13*o)*(4 - o - 4) + (o - 5*o + 2*o)*(6*o + 0*o - 4*o) - o**2 + 0 + 0 to the form r*o + p + n*o**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*z**2 - 1139*z**2 + 32 - 32.\nAnswer: -764*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421 is divided by 82?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose 2*q + g - 18 = 0, -4*g = -p*q - 3*q + 38. What is the smallest common multiple of q and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3823? (a) -4 (b) 2\/719 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2507 in -0.2, -2\/5, 0.5, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11869.5 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b + 2. Let x(c) be the second derivative of -4*c**3\/3 + 3*c**2\/2 - 11487*c. Determine x(i(a)).\nAnswer: 72*a - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctcctttt. What is prob of sequence tc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5208*s - 2606*s - 2600*s - 726*s**3 - 1 - 6 in the form p*s + k*s**2 + d + x*s**3 and give x.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:06 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8938.259ml to litres.\nAnswer: 8.938259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685899.\nAnswer: 223, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:34 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 + 4*h**2 - 2*h - 9. Let p(t) = -13*t**3 - 13*t**2 + 6*t + 27. Calculate -2*p(o) - 7*r(o).\nAnswer: -2*o**3 - 2*o**2 + 2*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 2:58 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542998 = -147*s + 2054933. List the prime factors of s.\nAnswer: 3, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 8 - ((-64646)\/14 - -1). Let c = 4631 - u. Which is greater: 10 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3732783*z**4 + 2199540*z.\nAnswer: -44793396*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-4) - (-2 + 2). Suppose -4*h + 84 = 2*s - 9*h, o*s - 84 = -5*h. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/9*30\/2. Let h = k + 85. Let z = -15 + h. Calculate the smallest common multiple of 12 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**2. Let p(g) = -g**2. Let a(n) = 40*p(n) - 5*v(n). Let m(j) = -3*j. What is m(a(s))?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(14)\/(-3*sqrt(2)) - sqrt(7)) - -5*sqrt(42)\/sqrt(6)*-5)**2.\nAnswer: 74263\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/96*-5)\/((-13)\/312).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.418417481 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59890427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-60)\/9 + (-2841550)\/(-510)?\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 - 69\/21. Let f(r) be the first derivative of -r**2\/2 + r + 1. Let k be f(u). Let b(g) = g**3 - 4*g**2 - g + 1. Calculate b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14832 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*c - 57*c = -27*c - 3507 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(728\/21))\/((-8)\/128)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7972931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i + 15. Calculate o(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 223 - 125. What is the greatest common factor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaajaaaaaua. Give prob of picking 3 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 527561 - 434*r**2 - 527561 + (-4*r + r + r)*(0*r - 3*r + 5*r) + 4 - 4 + 2*r**2.\nAnswer: -436*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 5 (b) -0.76 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01134 - -26.01134. Let a = 102 - 71. Let o = f - a. What is the second smallest value in o, -1\/9, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-17)\/(m*m**(1\/11)) assuming m is positive.\nAnswer: m**(-199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - s - 14, 0 = -1331*n + 1334*n - 4*s - 11. Put n, -4, -183 in increasing order.\nAnswer: -183, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3549 and -157\/6342.\nAnswer: 1071798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2)*(-1 - (-93)\/(-135)). Let a = -67\/18 - s. Let -a*r + 1\/2*r**3 - 2*r**4 + 2*r**2 + 0 = 0. Calculate r.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-20)\/6)\/(((-30)\/70)\/(72\/28))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/5 + 502182*i\/5 - 502192 = 0?\nAnswer: -251096, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13*-0.2\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -445146 equal to -445149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5850, -5847, -5844?\nAnswer: -5841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/10 - 7\/(-35). Suppose 5*q - 30 = s. Solve -5*p = v + 2*v - q, 0 = -3*v + 4*p - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-60)\/6))\/((-91)\/1274)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332*g + 343*g - 11727 = 314*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 62.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 33, -0.0552, 2.\nAnswer: -1\/9, -0.0552, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780759370 rounded to the nearest one million?\nAnswer: 1781000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.9755l in millilitres?\nAnswer: 707975.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 6 + 10 - 22*u to v + n*u and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -1\/3 (c) -5709 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -196. Let u = s - 51. Let r = 89 - u. Calculate the remainder when r is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/6 - 1\/(-3). Let o = 13\/6 + r. Let z = 0.1 + -0.1. What is the closest to z in -4, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = -0*b. Suppose -2*c = -5*w - 1 - 1, 0 = b*c - 2*w - 20. Suppose 3*h = 9 + c. Solve -5*q = -15, z + h*q = -0*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/30 + 32\/5. Let w be 2 + -6 + j + -2. Suppose -g - 118 = -2*s, w = 3*s - 5*g - 0*g - 177. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.81 - -2.85. Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Suppose -3*r = -0*r + 4*g - 267, z*g - 6 = 0. Let m be (-33)\/(-5) + 34\/r. Solve -2*f + m*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/6 and 2 - 3\/((-135)\/(-85))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*s - 5*r, 3*r + 19 = -2*s - 2*r. Suppose 0*a + 3*a - 54 = -5*j, s*j - 42 = -5*a. Let g = 10 + j. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 955.9805 micrograms?\nAnswer: 0.0009559805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -396 (b) -0.2 (c) 4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -685*o**2 - 22856 wrt o?\nAnswer: -1370*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m - 5. Let w(u) = 5*u + 2. Suppose -11 = -4*n + 5. Let q(p) = n*j(p) + 7*w(p). Let l be q(-8). What is the greatest common factor of 10 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-42)*9)\/(22\/(-77))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34883 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 66*d**2 - 133*d + 327. Let o be p(64). Suppose 0 = 5*i - 0*b + 4*b - 22, 0 = -5*i - 5*b + 25. Solve -15 = -o*s + i*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a factor of 33475659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwqcwcwqcxqccoqc. Give prob of picking 1 w and 2 q.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 1. Let g(f) = -f - 8. Let j be g(-9). What is d(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35.4? (a) 7\/3 (b) 2 (c) -3 (d) -211 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 0.71, -2, -4\/5, 81, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -346, -343?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*m + 204777 + 19258. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:46 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1166000 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:11 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69724, 69725, 69726, 69727, 69728?\nAnswer: 69729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*u - 31, 57*u + 4372 = 59*u + 624*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0.046 (b) -2\/7 (c) 0.235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 125 from 1.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 3) to base 11\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985 divided by -5.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d*k**3*q**2 + 849*d*k**3 - 1464*d*k*q**2 + 22*d - 2*k**3*q + 2*k**3 - 3*k**2*q**2 wrt k.\nAnswer: 18*d*q**2 + 5094*d - 12*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 199479.15ns?\nAnswer: 0.000000055410875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 9*q = -4*k + 2148, 0 = k + q - 527. Calculate the least common multiple of 304 and k.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/5440 and 89\/12.\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24259, 48519, 72779?\nAnswer: 97039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.143*-0.073618\nAnswer: -0.084145374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**3 - 921*d**2 - 12. Let i(j) = 14*j**3 - 2762*j**2 - 33. What is 4*i(u) - 11*l(u)?\nAnswer: u**3 - 917*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(273\/(-18))*(-28)\/(-12). Factor -4\/15 + 2\/15*n**r - 2\/15*n.\nAnswer: 2*(n - 2)*(n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010 (base 2) to base 5\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.1 (c) 0.02 (d) -17 (e) 789\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2294 and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14579\/48 + -1849\/6. Let n = -89 + 139. Find the common denominator of y and 20\/n + 654\/140.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 426, 634, 840, 1044, 1246, 1446?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15309*t**4 - 19*t**3 + t**2 - 35107 wrt t.\nAnswer: 367416*t - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091158961.\nAnswer: 19, 3022601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-29 + 20 - (4 - 8 - 11))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d*t**3*w**3 + 4*d*t*w**2 - 77*d*w**2 + 430*t**3*w**4 + t**3*w**2 + 3 wrt w?\nAnswer: 18*d*t**3 + 10320*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 608628 and 3956082.\nAnswer: 7912164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -2*v - 2*t, 14*t - 198 = -23*v + 20*v. What is the greatest common divisor of 18 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*j - 62*j + 5677353. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + y + 3*y)*(-y - 4 + 5 + 6*y)*(0*y - y - y)*(80 - 80 - 356*y) as p*y + i*y**4 + w + x*y**2 + c*y**3 and give i.\nAnswer: -3560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8018761420.448 - 8018798012.62000009. Let j = -36614.172 - s. Let w = j - -22. Round w to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6451 + 6450 + 5*k - 19356 + 6460 to r*k + d and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 76*g - 64*g - 6 - 6.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/7 - 3416736*a\/7 - 1459260611712\/7 = 0.\nAnswer: -854184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 14*p**4 + 114*p**3 + 240*p**2 + 32*p = 0.\nAnswer: -4, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/9)\/(12\/90))\/(70\/(-224))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1\/3, 6, 199, -7, 1 in increasing order.\nAnswer: -7, 2\/13, 1\/3, 1, 6, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**4\/12 - r**3\/2 - 2*r**2 + 2. Let u(c) be the second derivative of z(c). Differentiate u(w) with respect to w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 + -23 + 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 15) in base 13?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 9. Let h = x + -1. Let o = 7.832 - 1.832. What is the smallest value in h, -4\/5, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9113 = -629*n - 3843 - 253 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnynnnnnnnnnnyynyny. Give prob of sequence yny.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-8) - (-5)\/(20\/22). Suppose -x*w + i = 3*i - 23, 2*w = 5*i - 14. Solve -4*m - 11 = w*n - 2*n, 4*n = -m - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/14 + 2*o**3\/7 + 2*o**2\/7 + 10. Factor b(j).\nAnswer: 2*j*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 8*b - 3. Let u be r(10). Let s(c) = -8 - 4*c + 9*c**2 - c**3 - 3 + u. Calculate the remainder when s(8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 878071 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 + 144*u\/5 - 6699\/5.\nAnswer: 3*(u - 29)*(u + 77)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1, 45 in decreasing order.\nAnswer: 45, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113, 115, 117, 119, 121, 123?\n\"Answer: 2*z + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10120133232 (base 4) in base 13?\nAnswer: 312c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m + 2. Suppose z + 4*n = -3*z + 8, 3*z = -5*n + 8. Calculate f(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -87, -5, -2, 422, -1\/3?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -446*y**2 - 51*y + 662043 wrt y?\nAnswer: -892*y - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17446 is divided by 832.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 1. Let h(o) = -o + 2*o**2 + 7 + 5 + 2*o**2 + 12*o. Let w(v) = 3*g(v) + h(v). What is the units digit of w(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6757 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -5. Let t be l\/48*3 + -1. Let q = 0.2 - -0.8. Put 3\/2, t, q in decreasing order.\nAnswer: 3\/2, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, 63031, 4 in descending order.\nAnswer: 63031, 147, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -7104.\nAnswer: -1\/1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13922*s + 1043915. Calculate g(75).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.95 - -0.45. Let f = d + -2.5. Let p = -183 + 178. Put f, p, -3, 2\/5 in decreasing order.\nAnswer: 2\/5, f, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50139332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from bbbbbbrbrb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/(-4))\/(2\/4). Suppose 222 = -5*y + 56*y - 14*y. Let h(k) = -2*k**3 - 6*k**2 - k - 4. Let f(s) = -4*s**3 - 11*s**2 - 2*s - 8. Give m*h(b) + y*f(b).\nAnswer: -2*b**3 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w - 4 = 0. Let z be 0 - (w + (4 - 3)). Which is smaller: -2\/7 or z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -598766 (base 10) to base 5\nAnswer: -123130031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n = 2*a - 38, -4*a + 40 = 4*n. Suppose 3*w - 5 = 49. Suppose t - 18 = -3*u - u, 2*u = 4*t - w. What is the highest common divisor of t and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*m - 209 + 43 - 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12064, -24128, -36192, -48256, -60320, -72384?\n\"Answer: -12064*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 65 + -1 - 1\/(-1). Let a = -9718 - -9731. Calculate the highest common factor of a and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 3, q: 3}. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24454, -23501, -22550, -21601?\nAnswer: -20654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwpwpccw. What is prob of sequence wcwc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, 7\/10, 3, -1\/5, 0.3 in descending order.\nAnswer: 28, 3, 2, 7\/10, 0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/(476\/7)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -10617, -4 in decreasing order.\nAnswer: -2\/9, -4, -10617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082 + 539 + 489*a + 542.\nAnswer: 489*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/162*8829\/981.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 79392 = 674715. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225969 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175053 and 4761?\nAnswer: 12078657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.438 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 2*x + 30, 2*x + 22 = 3*q. Suppose -3*g - b = q*b - 111, -3*g - b = -123. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 w, and 1 z when four letters picked without replacement from pppipipvziwwwwzpppp?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -128555, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 9:45 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/4 - 5 - 1\/(-4). Suppose 4*g = -l*o - 3*o + 221, g = -2*o + 89. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(3 + 44\/(-12)). Let s = -0.065 - 29.735. Let y = -30 - s. Which is the third smallest value? (a) y (b) o (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227259819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62376 divided by -678.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48174681*m**2 + 394182729.\nAnswer: -96349362*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 259 + 133 - 469*r + 79.\nAnswer: -469*r + 519","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 4:44 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1004150 and 103\/27482.\nAnswer: 13053950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6611, 25192, 55687, 98096, 152419, 218656, 296807?\nAnswer: 386872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h = 321. Let z = -533\/5 + h. What is the nearest to 1 in -3, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 6*o = -279. Solve 0 = o*x - 35*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**8\/168 + 2*c**7\/15 - 5*c**6\/4 + 97*c**5\/15 - 61*c**4\/3 + 40*c**3 + 794*c**2. Solve w(q) = 0.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + -1.5. Let n = -166325 - -1164278\/7. Which is the nearest to -1? (a) -0.5 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 - 13934746*d\/15 + 4644916\/5.\nAnswer: -2*(d - 1)*(d + 6967374)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/7 + 4616*h\/7 + 7872 = 0.\nAnswer: -2296, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06318 + -188921.7331?\nAnswer: -188921.66992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1621 + 4*l**3 + 806 + 815.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 77998 = 160919 + 77279. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92076 and 5076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 6*x + 9. Let c be n(5). Suppose -j + c*g + 2 = 7, -5*g = -5*j + 20. What is the remainder when 14 is divided by 6\/8 + (j - (-33)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -1a91?\nAnswer: -1a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 12*i - 2. What is c in 19*c + 2*c**3 - 9*c**i - 3*c + 2*c**4 + 3*c**2 - 8 - 6*c**3 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + 1 - 1)*(10*j - 3*j**2 - 10*j)*(78 - 92 + 217) to the form n + a*j**2 + x*j**3 + l*j and give x.\nAnswer: -1827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = 42*s - 16 - 192 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8320 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {d: 6, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 9*y + c + 43998 = 0, -3*y + 131994 = -5*c. What is the ten thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504.1934 micrometers in nanometers?\nAnswer: 504193.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 420 - 251. Suppose 0 = -5*g + 66 + c. Let x = g - 8. Calculate the greatest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -21. Suppose p*n - 3*w - 78 = 0, -7 + 39 = 2*n + 2*w. Suppose 4*q + q - 50 = 0. Calculate the lowest common multiple of q and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 4, l: 1, v: 7, o: 4, z: 2}. Give prob of sequence ol.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -3 + (-1 - -6). Let z be (0 + t)\/(3 - (-2 + 4)). Let r be z*7\/(14\/18). What is the highest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2545097 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + x + x)*(x - 4*x + x) - 3*x + 3*x - x**2)*(-6*x**2 + 4*x**2 - 6*x**2).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*x = 16. Let n = -2 - x. Suppose -4*d + 9 = 1. Solve n*q - d*h + 4*h = -8, -2*q - 14 = -4*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*y - 1, -2*y - 3*w = 3*y - 8. Let v be (0 - 779 - y)*9000\/6. Round v to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(0*n - 2*n + 0*n)*(-3537 - 20452 + 2533 - 3616).\nAnswer: -100288*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 293*s**2 + s. Let d(k) = 20. Let r(a) = 19*a - 80. Let v(f) = 4*d(f) + r(f). Calculate v(l(m)).\nAnswer: 5567*m**2 + 19*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111221 (base 6) to base 5.\nAnswer: -244443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqa when three letters picked without replacement from oyqca.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 123. Let q = 131\/192 + -1\/64. Factor t - 4\/3*c**4 - 2\/3*c + 4\/3*c**2 + 0*c**3 + q*c**5.\nAnswer: 2*c*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -149*t - 579 + 132. Let x(a) = a + 5. Let y(i) = 6. Let p(g) = -13. Let d be (-16)\/7 + 4\/14. Let h(r) = d*p(r) - 5*y(r). Calculate t*x(o) - 4*h(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/65 + 77\/390. Let f = -4.014 + 0.014. What is the second biggest value in -2\/3, h, f, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36725 is divided by 7264.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 338.0574 - 338. Let l = 0.051 - d. What is l rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*((d\/(d*d\/d**(-3)))\/d)\/d*d*d*(d*d**(-3\/4)\/d)\/d*d\/(d*d**(7\/2)*d)*d**(-6\/11) assuming d is positive.\nAnswer: d**(-431\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 126 = -2*c. What is the greatest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1298*h - 11. Let c be m(-1). Suppose 3*v = 3*t - 6090, -t - 5*v + 713 = -c. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 21*t**2 - 26*t - 58. Determine m(-20).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -4, -22, -58, -118, -208, -334?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 608 and 0.53.\nAnswer: 608.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**3 + 59445*g**2 + 180687000*g + 23651252560 = 0?\nAnswer: -5876, -137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352*g**4 + 408*g**4 - 44*g**4 - 2*g**3 + 2*g**3)*(g - 2*g - 3*g).\nAnswer: -2864*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3 + 2*b**2 + 3. Let o(z) be the first derivative of -z + 27. Let n(x) = -2*x**2 - 9. Let p(d) = 2*n(d) - 18*o(d). Determine h(p(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nbbbbbbnqbcbcbnb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 7232*y + 27 + 15 + 9259*y - 1645*y.\nAnswer: 14846*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)*-1*2*-5)\/((sqrt(4032) + (sqrt(4032) - 3*sqrt(4032) - sqrt(4032)) + sqrt(28))*-4).\nAnswer: 15*sqrt(11)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = 15, -f + 1 = -z. Let c be (-91)\/35 - z\/(-10). Let m(w) = -w**3 - w**2 + 5*w + 3. Calculate m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93\/2 + 1021\/22. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -9*m + 320. Let f = -51 - m. Differentiate f - 8 - 19 - 23*z with respect to z.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 327\/7. What is the closest to 1 in 0.3, m, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*g + 24, 5*g + 20 = -3*p - 2*p. Let y(l) = 13*l**2 - 2*l + 1. Let x be y(p). Suppose h + h - x = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 56 - 71. Suppose 150 = 2*v + 4*r - 12, 5*v - f*r = 366. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 24*k. Let m(h) be the third derivative of -h**4\/6 - 16*h**2 - 1. Calculate m(s(d)).\nAnswer: -96*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.62646ml in litres?\nAnswer: 0.07862646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -23, -89, -225, -455?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*s + 317 - 299, 0 = s + 5*l - 5 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -9 - 0 - 10) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2 + 410*y + 27720 = 0. What is y?\nAnswer: -44, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - 0?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 8. What is m(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 196*x - 376.\nAnswer: -4*(x + 2)*(x + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:28 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*v - 547*v = -1776 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(50)\/sqrt(5))*-2)\/(-4*(-1*sqrt(33))\/sqrt(11)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005816829 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7662?\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 4.8. Let r = z - -5.0000065. Round r to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**6\/240 - i**5\/60 - i**4\/48 - 2*i**2. Solve t(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15252884 divided by 2?\nAnswer: -7626442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/(24 - 20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 - 3288*r + 3292 = 0 for r.\nAnswer: -823, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-3) + 6\/9. Let u = -16 + 6. Let d = w + u. What is the third biggest value in 6\/5, d, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 + -6*((-80)\/(-15) + -4) is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147.703 * -4352\nAnswer: 642803.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*x = -159*x + 13508. Suppose 0 = 4*g - 1 - 19, g = -f - 1. Let i = f - -8. Calculate the least common multiple of x and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = -4*v, 3*v = -4*d - 6 - 0. Solve j = -v*u + 11, -2*u - 19 = -6*u + j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 156*c**2 - 2*c + 46577. Is g(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/363*-6 - (-128)\/(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5496 = -725*d + 22171 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229973 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 10*o**3 + 15*o**2 - 90*o + 40 = 0.\nAnswer: -4, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20\/7, 61, 2?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 1\/30*h**6 + 0*h**3 + 3*h + 0*h**5 + 1\/12*h**4 + 0 + 0*h**2. Find the third derivative of q(n) wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10)*3)\/(26\/(9100\/(-490)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**6 + 102297*n**5 - n**2 - 1606?\nAnswer: 120*n**3 + 6137820*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5042 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/9 - 902*g\/9 + 17580 = 0 for g.\nAnswer: -586, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 283553471 to the power of 1\/2, to the nearest integer?\nAnswer: 16839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 86 * 41202\nAnswer: 3543372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 83*y - 31. List the prime factors of p(25).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 + 995. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16303 + 16308. Put c, 27, -2, 1, 4 in ascending order.\nAnswer: -2, 1, 4, c, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k - 1. Let v be ((-8)\/20)\/((-3)\/30). Does 10 divide d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 300?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) + (-62)\/(-6). Suppose 3*w + 2*b - c = 0, -3*b = 4*w + b - 16. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 773 from 775.26705.\nAnswer: 2.26705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 9:22 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9377*i + 2*i**3 + i**3 - i**3 + 9377*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -28126 less than or equal to -28128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1062 - 549. Suppose 2879 = 5*x - 2876. Let o = d + x. What is o rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81.115 - 81. Let m = j - 0.015. Which is the closest to m? (a) 2.3 (b) 2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 3\/4 (c) 1\/21 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272924490571*k**2 + 272924490571*k**2 - 22*k**3.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 410\/7 + -59. Find the common denominator of -8\/13 and j.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1242 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42166883, -42166882, -42166879, -42166874?\nAnswer: -42166867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 124. Give u(-9).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-10)*y)*y)**(-43)\/(y**(-7\/3)*(y\/y**16)\/y))**40 assuming y is positive.\nAnswer: y**(-54560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8498421 (base 10) in base 9?\nAnswer: -16882570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(84) + sqrt(84)*-1*6 + ((sqrt(84) + sqrt(84)*-1)*-5 - sqrt(84)))\/((sqrt(972) - (sqrt(972) + (sqrt(972) - sqrt(972)*-1*-2))) + sqrt(972)).\nAnswer: -sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1184 - -1851. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 3*m - m**3 + 3*m**4 - m in the form z + o*m**4 + b*m + s*m**3 + j*m**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-3 - -2)\/1. Let p be r\/(-5) + 103\/(-5). Let x = p - -41. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 39373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205540 + 205533 - 2*k + 11*k**2 + 29*k**2.\nAnswer: 40*k**2 - 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((2 - 26) + 14 + 18). Let n = -18 + 4. What is the second smallest value in 1\/6, 2, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046918*q - 30 + 30.\nAnswer: -1046918*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1029*b + 13. Is i(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99435516 or 0?\nAnswer: -99435516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 27 = 3*f - 48, 5*f + 4*l = 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323323 and 71383.\nAnswer: 4199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 9. Let o(i) = i**2 - 3*i - 8. Let u be o(g). Let d be (-16)\/u*(-5)\/2. Solve -4*j = -5*q + 12, -d*q + 10 = 2*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from xkkxxk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csi when three letters picked without replacement from bbcszis.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5 = -a, -x - 4*a + 10 = -2*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 427*j**2 - 6*j - 3. Let k(a) = a**3 + a**2 + 2*a + 1. What is -3*k(l) - w(l)?\nAnswer: -l**3 + 424*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -25. Let j be 4 - s - (-3 + 0). Suppose 3*z - 47 - 154 = j. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.09 + -0.19. Let q = -14.1 - r. Let n = 15.6 + q. Which is the smallest value? (a) n (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*w + 54*w - 295*w + 64*w - 336*w.\nAnswer: -912*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**5 + 754066*l**3 - 871570*l wrt l?\nAnswer: 80*l**3 + 4524396*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 1390239162110.\nAnswer: 1390239162110.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(162) + 3 + 2 + (sqrt(162) - (sqrt(162) + 3))*-5)*-3 + 0.\nAnswer: -57 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 8*j**2 - 9*j + 17. Let y be -3 + 15\/(-10)*-66. Suppose 5*c + 61 = y. Let h be i(c). Which is smaller: h or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6427, -12859, -19299, -25747, -32203, -38667?\nAnswer: -45139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 1. Let o(a) = 2*a**3 + 6*a**2 + 8. Let i(s) = -o(s) - 3*t(s). List the prime factors of i(7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - 140\/(-16). Solve -11 = -a + 3*p, 0*a = -5*a - p - y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - -68) + 0 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 12. Let i be l(-11). Let k be -2*(11\/2)\/i. Let h be (-165)\/6*24\/(-30). Calculate the highest common divisor of h and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 14. Let i = t - 6. Solve 0 = 3*v - v + i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 12:01 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9524153 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92527577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 5*i - 2. Let l be j(5). Let o(p) = p**3 + 3*p**2. Let q be o(l). Let t = q - -7. Solve -g + 3 = -3*z + 2*g, -z + 4*g = -t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143035070 to the nearest 100000.\nAnswer: -143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 11124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose -15*n + 20 = -10*n. Suppose 2*d - 2*p = 46, n*d - 71 = -2*p - p. Solve 4*m + 3*v = a + 15, 5*m = -3*v + d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18751 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 114777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2 and 93\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -299013, -598012, -897013, -1196016?\n\"Answer: -o**2 - 298996*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8646, 8257, 7190, 5103, 1654, -3499, -10698, -20285?\n\"Answer: -57*h**3 + 3*h**2 + h + 8699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27306 + 27304. Sort l, 354, -16.\nAnswer: -16, l, 354","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9639 and 476?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 - 46 = -2*u + 450*c - 269, 3*u + 3*c - 3 = 33 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61636404 + 867523931. Let s = -929160330.78999739 + c. Let a = s + -4.21. What is a rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 13)*5082\/66. What is the highest common factor of 484 and h?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11714024\/3 or -3904676?\nAnswer: -3904676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219615?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688222?\nAnswer: 2, 344111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17944\/9 + 1988. What is the common denominator of q and 8\/(-16)*(137\/3 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 9*h + 3. Determine s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84904.8596 rounded to the nearest 100?\nAnswer: -84900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m - 541 = -226 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/44)\/((-12)\/(-3498)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -19*a**2 + 2*a - 7. Let q be b(3). Let w = 537 + q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1\/4, 0, -114\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 53*v**2. Let a(l) = -4*l + 2*l + 17*l - 7*l. Calculate c(a(u)).\nAnswer: 3392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, e: 5}. Give prob of picking 4 e.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) - 7797\/138. Let p(x) = -57*x**2 - 2*x + 1. Let a be p(1). Is a bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-36)*((-10)\/330)\/(-10*8\/(-2400))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g**2 - 5 + 5)*(1 + 0 + 1) - 2*g**2 - 4*g + 3*g**2 + 8*g as x*g**2 + y + z*g and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 + -4 + 2) - (-3 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - 2*i**3 + 2*i**3)*(52 + 79 - 34)*(1 + 1 + 0).\nAnswer: -194*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 20 - 7*l**2 - 83*l + 173*l - 111*l. Let i be p(10). Calculate the highest common divisor of 44 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -798.554?\nAnswer: 47.91324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 4, e: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is prob of sequence uxi when three letters picked without replacement from xhxiiniui?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l + 28229 = 28182 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225928397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 less than 13?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-35))\/(((-165)\/308)\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4))**2\/(o**1\/o**14) assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 723. Let y(q) = -3*q. What is m(y(d))?\nAnswer: 3*d + 723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybwynyyynwyynbyn. What is prob of picking 3 n and 1 b?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**3 - 8*s + 8*s + (s - 2*s**2 - s)*(32*s + 12*s - 14*s).\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95579*z**6 + z**5 + 16*z**3 + 7*z**2 + 4560*z + 11 wrt z?\nAnswer: -11469480*z**3 + 60*z**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0 - (-1 + 7 + -27 + 21)) + -38?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let k be 6*(4\/(-340))\/(2\/(-15905)). Let v = k - 561. Is m > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16 + 7 - 4 + 2*u**2 - 2 + 15*u. Let x be j(-7). Solve w = 6*w + x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -68, -105, -134, -149?\n\"Answer: z**3 - 5*z**2 - 31*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9887 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from kggjjjj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 2. Let r(w) = -802*w**2 + 1203*w + 2406. Give -r(f) - 1203*v(f).\nAnswer: -401*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33660894, 67321789, 100982684, 134643579, 168304474?\n\"Answer: 33660895*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**4\/12 - t**3\/6 - 127*t**2. Let u(y) = y. Calculate 3*r(q) + 7*u(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/19 or -861?\nAnswer: -861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j - j + 3*j as z*j + r and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 - 5760 = -47*k. Solve -27*i = 6 - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6081436.\nAnswer: 2, 1520359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*2\/12)\/(((-3895)\/41)\/(-95)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555 - 10867 = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7)**0*t*t\/(t*t*t**19\/t)*t**(3\/7) assuming t is positive.\nAnswer: t**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 7, 1819.\nAnswer: -5, -1, 0, 7, 1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6604, -26280, -59020, -104782, -163524?\nAnswer: -235204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.2 plus -87887.817?\nAnswer: -87839.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30086 and 4214?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -23*q**4 - 224*q**3 - 17*q**2 - 17*q - 153. Let t(c) = 8*c**4 + 75*c**3 + 6*c**2 + 6*c + 51. Let k(b) = 6*s(b) + 17*t(b). Differentiate k(x) wrt x.\nAnswer: -8*x**3 - 207*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28189 bigger than 28189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**2 - 4*m**2 - 3*m**2 + 0*m**2. Let p(n) = n + 0*n - 3*n. Give z(p(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6 + m**2 + 2*m**2 + 1. Let v = 471 - 466. Let g(x) = -3*x**2 - 6. What is v*r(n) + 6*g(n)?\nAnswer: -3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-15)\/(-420))\/((-1)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmvgd. Give prob of sequence drv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n - 43*n - 1480 = 0. Let a = n + 210. Let t be ((-150)\/8)\/((-3)\/12). What is the greatest common factor of a and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 236 and 11.3?\nAnswer: 2666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + 1.12. What is the second smallest value in a, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(21\/162) - -3. Let y = q - 17. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*f + 6, -3*c + 18 = 12*f - 15*f. Suppose 12*n = -60*n - c*n. Factor -2\/7*u**2 + n + 1\/7*u**3 + 1\/7*u**4 + 0*u.\nAnswer: u**2*(u - 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1071 - 1051. Solve -5*c = 4*y - 20, l = 3*y - 3*c + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyym when four letters picked without replacement from yymymmymmmmy.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + s + 2 + s + 2*s - 3*s + 0*s + (-2*s + 3 - 3)*(3 - 1 - 1))*((10 - 10 - 77*s**2)*(-5 + 2 + 4) + (-s + 0*s + 3*s)*(2*s + 3*s - 3*s)).\nAnswer: 73*s**3 - 73*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/61484 and 41\/47731.\nAnswer: 3627556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 11. Let d be 1\/(((-2)\/2)\/z). What is the third derivative of -d*r**2 + 3*r**2 - 4*r**2 + 2*r**3 + r**2 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*j + 21026 = 0, -5*t - 690*j = -695*j - 26275. What are the prime factors of t?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 2*v**2 + 0*v**2 + (-7*v + 2*v + 4*v)*(2*v + 4 - 4) + 74*v**2 + 65*v**2 - 44*v**2.\nAnswer: 92*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 8*v + 2. Let t be q(8). Find a such that -2*a**t - 14*a + 17*a - a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205110 (base 8) to base 15\nAnswer: 152e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 5770651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.042 or -0.2?\nAnswer: -4.042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 29*y**6\/40 - y**4\/6 + 2*y**3\/3 + 247*y**2 + y. Let o(k) = 1914*k**3 - 87*k + 87. Determine -87*f(b) + 4*o(b).\nAnswer: 87*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.7368 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 34*j - 27. Let o = 8 + -14. What is the remainder when i(3) is divided by (-285)\/5*2\/o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*d**3 - 206*d**3 - 205*d**3.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2297 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 331012?\nAnswer: 1655060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683 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: Two letters picked without replacement from {g: 2, c: 7}. Give prob of sequence cc.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4017114, 8034230, 12051346?\n\"Answer: 4017116*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/56 and -121\/180.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 8:00 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-192)\/28)\/(6\/(-63)). Calculate the highest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1229 - 0.0771. Which is the second smallest value? (a) -19\/5 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 7, 2\/13, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 14 (c) 119.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 50. Let n = v + 58. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262 - 242. Solve 13*k = 8*k + t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-9 + 6) - (-2739)\/3?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 21128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 - 5 = 0. Let u be (4 - 1)*i\/6. Suppose 10*b = u*b - a + 94, -3*b + 3*a = -60. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/(-10) - 6\/2. Suppose 0 = -16*o - 6 - 10. What is the biggest value in t, o, -0.05?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/4068215 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 - 505. Let w = -362.86 - q. What is w rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2888672896 + -0.3.\nAnswer: -2888672896.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 86295.61mg?\nAnswer: 86.29561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 5, -3955 in decreasing order.\nAnswer: 5, -1, -9, -3955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3363 + -6727\/2. Which is smaller: n or -11.7?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (53 - (-19 - -10) - 14).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9309420 to the nearest one hundred thousand.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -355 - -1147. Suppose 5*j = -j + h. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195*1 - 3 - 3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -0.406\nAnswer: -0.02436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -23\/2948, -2\/17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.412652 to the nearest integer.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 - 57*j + 21. Determine y(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434819 is divided by 223?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2238 + -0.2238. Which is the fourth smallest value? (a) g (b) -5\/17 (c) -2 (d) 5 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 13) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12000012121 (base 3) to base 2\nAnswer: -11000000100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*((-168)\/35)\/8.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 3*g**2 - 4*g - 5. Let v be i(4). Let k = -56 + v. Calculate the greatest common divisor of 33 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45269103*z**2 - 199491925*z wrt z?\nAnswer: -90538206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*n + 120. Let y be 26\/((n\/4)\/3). Let z = 0 + 13. What is the highest common divisor of z and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*s - 8*s. Let w be ((-2)\/s)\/(9\/54). Factor w + 2\/5*n**2 - 4\/5*n.\nAnswer: 2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 divided by -180?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1) + (-4 - 11595). Round s to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*20\/(-1350)*-18*600\/48.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 7*a**2 - 8*a + 3. Let k be w(8). Let x be -2*2*k\/(-6). Let v(t) = -3 - x*t - 5*t + 8*t + 10. Calculate v(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448.54 * 7\nAnswer: 3139.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 203475 divided by -587?\nAnswer: -203475\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from uvnvvvnnv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 12.1. Put 0.3, k, -1, -6 in descending order.\nAnswer: 0.3, k, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-5) + (6 - -2)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h - 86. Let c be o(7). Let v be 18\/1*10\/15. Is c less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -0*a + a. Let d = 3 - a. Suppose d = 12*i - 9*i. Solve -n - 3*n = -4*b + 32, 0 = -3*n + 5*b - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.068430073 (b) 5 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -157 in 3, 10\/9, 2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -7. Let q = 27 + -27. Sort p, q, 4.\nAnswer: p, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:08 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*u - 7 - 2, -9 = -h - u. Solve -4*z + h = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 195173543, 195173546, 195173551, 195173558?\n\"Answer: s**2 + 195173542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:25 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1946)\/(-556))\/(49\/(-364))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16594, 16419, 16126, 15715, 15186?\nAnswer: 14539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 282 + 24. What is the remainder when 224 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93041 and 442.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 23*u**2 + u - 3 - 2*u**4 - 5 - 20*u**2 to the form w*u + d*u**4 + h*u**3 + g*u**2 + o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k + 276136 - 276136. Let b(n) = -n**3 - 2*n**2 - n - 1. Let s be b(-2). Let p(l) = s - 1 + 2*l. Give t(p(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - c**2 - c**2 + (2*c + 5*c - 5*c)*(-c + 6*c - 4*c)*(-4 + 4 + 11).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i = -32*i + 1680 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*q - 8 = 4*f, -2*f - 4 = -q. What is the third smallest value in -0.03, -0.04, f, 0?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-31) + (-77064)\/4836 + 59.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -148 - 1\/2*b**2 + 2*b + 2\/3*b**3. Suppose 2*r = 3*r + 2. Determine l(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 45*b**3 - 5*b. Let m(k) = -22*k**3 + 2*k. Let l be (-8 - 754\/(-87))\/(2\/12). What is l*d(f) + 10*m(f)?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -22. Let q(k) be the first derivative of 0*k - 1\/5*k**5 + 1\/3*k**3 + r + 0*k**4 + 1\/12*k**6 - 1\/4*k**2. Factor q(i).\nAnswer: i*(i - 1)**3*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6 - 6 - 5*y**2. Suppose -o - 12 = -7*o. Let u(w) = -23 + 2*w**o + 23. Determine u(f(s)).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68.6 - -68.9. Let s = -9 + 5. What is the third smallest value in a, 0, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (19\/3)\/((-27)\/(-1620))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 3, -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, 0.1, -113?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 + -17 - 37)\/(46\/2).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u. Let d(o) = o. Let j(n) = -n. Let z(f) = f. Let s be z(6). Suppose 0 = 5*r - s*r + 1. Let m(q) = r*j(q) + 4*d(q). Give m(y(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28719670 divided by 5743934\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkukskkykukkk. Give prob of picking 2 u and 1 s.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400544 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3905*x**4 - 4*x**3 + x**3 + 3904*x**4 - 3*x**2 - 2 + 8*x + 10 + 2*x**3 to r + d*x**2 + s*x + n*x**4 + h*x**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181383 by -2.\nAnswer: 181383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4501 divided by 643\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 20 = -12*y. Let a = 7 - -1. Suppose -5*g = -y*z - a*g + 119, -25 = -z + 4*g. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 145, 298, 429, 532, 601, 630?\n\"Answer: -z**3 - 5*z**2 + 175*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 + q - 1. Let b(r) = 4*r**3 + 5*r**2 + 5*r - 9. Give b(f) - 6*i(f).\nAnswer: -2*f**3 - f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000172085 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, -6, 6, -0.2, -247, -88?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151167474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89560519.\nAnswer: 31, 2889049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 207899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t**3 + 30*t**3 + 1004*t**2 - 1004*t**2 - 57*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxuxuucxxuuuxux. What is prob of picking 1 x and 1 c?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 15 = 5*o, 2*o = 5*k + 7 - 54 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.55342 and 2.\nAnswer: -1.10684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = w - n - 3*n, -3*w + 2*n + 181 = 0. Let h = w + -38. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/34 (b) 7 (c) -51.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**3\/3 - 6. Let z(g) = 6*g + 9. Let v(f) = -f - 1. Let t(u) = -18*v(u) - 2*z(u). Give t(y(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5 and 17\/3498.\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7462 - -82080\/11. Let w = -11 - -8. Put q, -0.4, w in decreasing order.\nAnswer: q, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*b - 5599 = 395. Solve -b*g - 6 = -75*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-40 + (-24 - -82)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 229.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20\/3 (b) 3 (c) -5 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 768*c*w**3 + c*w**2 + 3027*c + 44901280*w**3 with respect to c.\nAnswer: 768*w**3 + w**2 + 3027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98640819 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**3\/3 + 5*k. Let a(v) = 3*v**2. Calculate x(a(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 14*q + 30. Suppose -4*o = o + 3*s - 23, q*o + s = 21. Suppose -4*l = o*h - 60, 4*h + 3 = 4*l - 57. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(1584) + -1*(sqrt(1584) - (sqrt(1584)*1)**2) - -6*2*sqrt(1584)*2) + 0.\nAnswer: 372*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*11\/(-22)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-51)\/18*((-75 - -45) + 31).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 6. Suppose -7 = 4*w - 3*w. What is the units digit of (-2)\/2*a*w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238647921 and 56152452?\nAnswer: 954591684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 7144136 and 7144137 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 minus -7372.1?\nAnswer: 7271.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-1) + 1)*-2. Let i = 5 - a. Suppose -2*j + 11 + 1 = 0. Calculate the highest common factor of i and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*r**3 + 77*r**3 - 1752*r**3.\nAnswer: -1390*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -55*i**4 - 7*i**3 - 14*i**2. Let p(o) = -18*o**4 - 2*o**3 - 5*o**2. Let d(l) = -2*n(l) + 7*p(l). What is the third derivative of d(c) wrt c?\nAnswer: -384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060187 rounded to 5 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**8\/14 - k**5\/60 + 44*k**2. What is the third derivative of r(v) wrt v?\nAnswer: 1440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-9)*(-2)\/(-2). Suppose 0 = -110*i + 119*i - 675. Let h be (0 - 4\/18)*i\/50. Is h bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 9, -2*n - 12 = -0*n - 4*t. Suppose b - 77 = -4*g, 5 = -n*b + b. Find the common denominator of 43\/8 and 4\/g + (-358)\/(-36).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from rrrrrrrrrcrcrrrrrr.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1128?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -69. Let m(y) = 3*y - 6. Let s be m(4). Suppose -3*z + s = -3. Solve n = 2*d + z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 47 * 1.33.\nAnswer: 62.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -3\/5, 4, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 24. Let n be 182\/(-280) - (-4)\/s. Sort n, 0.2, -0.7, -2\/9 in descending order.\nAnswer: 0.2, -2\/9, n, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. What is t rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/3)\/((1113\/63)\/53).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -95 from -579.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(1\/5)\/t*t**(-5)*(t**(-1))**6*(t\/((t*t\/(t*t*t**0*t))\/t))**(-35)*(t**(2\/3))**(8\/7) assuming t is positive.\nAnswer: t**(-12079\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2424*b - 837*b + 1425*b.\nAnswer: -1836*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115349 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8470455 (base 9) in base 2?\nAnswer: 10001010010111100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 - -4.1. What is the third smallest value in z, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a3aca1 (base 14) to base 11\nAnswer: 3132912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b - 96. Let l be a(-14). Suppose -z - 2*h - 950 = -5*z, -h = l*z - 485. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 8*z**3 - 3*z**3 + 0*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2216541.9 months?\nAnswer: 184.711825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 10*h**2 - 9*h + 17. Let g be n(9). What is the greatest common factor of g and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 16890?\nAnswer: 16890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 133399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -97*b - 386. Let r be n(-4). Solve -18*p - r = -20*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4771*i**2 - 4775*i**2 + 19100*i**2 - 4784*i**2 - 4779*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -22 + (6 - -9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122011122 (base 3) to base 2\nAnswer: 11000011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-4 - (10 + -12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.1, 4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -1\/39, -0.4, -9 in descending order.\nAnswer: 5\/4, -1\/39, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c - 3. Let f(b) = -8*b - 162. Let a be f(-21). Let u be (-3)\/((-72)\/a)*16. Determine p(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -155? (a) 1 (b) -7 (c) 0.1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -2\/9, 1, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 3*l**2 - 3. Let z be n(-3). Let u = z + -5. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 226*k - 221*k = -36, 6 = 2*k for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*z + 9563 - 1375. What is the remainder when z is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 1731576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-14)*-1)\/(1\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*4 - (-79 + 4). Suppose 3*r = 6, x - b = -2*x - r. Let l = 50 - x. Calculate the common denominator of l and -101\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 14 = -5*c, 0*c - 8 = -4*c + 4*q. Let m be (-3)\/(6\/4)*53\/(-53). Solve -c*s = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12056*n**3 - 2*n**2 - 4*n - 3. Is i(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*h + 466*h + 12 - 20 + 8.\nAnswer: 139*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -260*z - 16. Let r(p) = -65*p - 4. Calculate -6*l(x) + 22*r(x).\nAnswer: 130*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 1. Let c be l(17). Calculate the highest common divisor of 22 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 5 + 2*j + 5 - j**2 - 3*j. Let l be o(-5). Suppose 0 = -2*p + 4*b + 80, 5*b = -0*p + l*p - 175. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -158 (c) 0.5 (d) -18 (e) -1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168036 and 194568?\nAnswer: 3696792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 34792?\nAnswer: 278336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 3, f: 2, w: 1}. Give prob of sequence zfwf.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 31*t + 35*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1584)\/(-440) - ((-69)\/(-15) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h - 6*h**2 + 90*h - 57*h + 20*h**2.\nAnswer: 14*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 61. Let w be (33\/t)\/((-2)\/3792). Is w\/27*42\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n - 12. Let l be i(-6). Suppose 0 = b - 4 + l. Let p be (8\/(-10))\/(b\/50). Solve 1 = m - p*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.89 + -0.79. Let p be ((-9)\/12)\/((-3)\/(-7)). What is the smallest value in -1\/4, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1927.982cm to micrometers.\nAnswer: 19279820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001 (base 2) in base 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 2082501?\nAnswer: -2082500.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let p(f) be the third derivative of -f**7\/360 - f**4\/6 - f**2. Let w(o) be the second derivative of p(o). Give w(z(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 665*l**3 + 2*l**2 + 4*l - 12. What is the smallest common multiple of y(2) and 44?\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjf when three letters picked without replacement from {v: 1, f: 11, j: 6}?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1550*o**3 - 4029*o**2 wrt o.\nAnswer: 9300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 - -122. Which is the biggest value? (a) 0.3 (b) p (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.8 - -11. Let u = 1.96 - 2. Let q = u - v. Round q to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 2*z - 2*z)*(-2*z + 5*z - z) + z + 2*z**2 - z - 6*z**2 - 3*z**2 + 4*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*j - 494*j = 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 4*z + 5*z + (z + 1 - 1)*(0 + 1 + 0))*(3 - 4 - 1) as f*z + n and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11800.15 rounded to the nearest 100?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 247.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m + 325. Is m\/10*(-1 - -15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11 = -2*o - 3, -3*o = l - 8. Solve 4 = -5*v + 3*y, -o*v = -2*v + y + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2814 = -222. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*h)*(3 + 2 - 2) + 0*h + 0*h + 2*h + (-4 + 1 - 2)*(3*h - 5*h + 9*h).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327590629*o**3 + 10385044*o**2 + 15*o?\nAnswer: -1965543774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -1263.\nAnswer: -3\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/22715 and 1\/69993.\nAnswer: 20647935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.22*3952986.\nAnswer: -4822642.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*(v*v**2)\/v))**(-6\/13)\/((v**(-2\/7)*v)\/(v*v**(-2\/5)*v))*((v**(1\/3)*v*v)\/v*v**1)\/(v**(-3\/8)*v**(-4\/7)) assuming v is positive.\nAnswer: v**(60607\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -2*y**3\/3 - 8*y**2 - 4*y - 3. Let r be n(-8). Let g be r - 189\/(-39) - 1. Are g and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*2*sqrt(80))**2 - ((sqrt(360)\/sqrt(8))\/sqrt(9) - (-4 + (sqrt(5)*-3 - sqrt(5)))).\nAnswer: -5*sqrt(5) + 7996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66291456 take away 0.068?\nAnswer: 1.59491456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -117, -398, -949, -1860, -3221, -5122?\nAnswer: -7653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 45*t - 49. Let l be k(-34). Is 326 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14714453 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2761 divided by -11\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(833) + (3*(sqrt(833) + (sqrt(833) - -1*sqrt(833)) + sqrt(833)) - sqrt(833)) - ((0 + sqrt(833))*6 + sqrt(833) - sqrt(833))))*4)**2.\nAnswer: 6720*sqrt(17) + 480208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 7*u + 16*u + 56 = 10*v, -3*u + 6 = 3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49.15826 centuries?\nAnswer: 58989.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 - -0.6. Let l = -1.2 - 0.6. Let p = -1.8 - l. Which is the closest to d? (a) -2\/17 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 30011233?\nAnswer: 30011300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 74 (b) -0.3 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3941*n = -3939*n - 18, 0 = -m + 4*n - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let d = n + 1. Does 15 divide ((-2)\/((-6)\/45))\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (5 - 3 - 3). Let m = -3 + n. Let k(b) = 6*b**2 - 3*b - 2. Let t be k(m). What is the highest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -14 + (11 - -16 - 15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1718 - -2439. Let d = 740 - i. Which is smaller: d or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 39*i + 14. Calculate l(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pph when three letters picked without replacement from cplphppllhq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88042 or 88045?\nAnswer: 88042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/97 smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11838256.\nAnswer: 2, 17, 71, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61678970, -61678979, -61678990, -61679003, -61679018?\nAnswer: -61679035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 113\/2, -4, -1\/8, 3\/10?\nAnswer: 113\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 - 1 - 5*n**2 + n**2. Let c be v(1). Suppose c*s - 1 = -s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, u: 8, h: 1, x: 5, z: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 76484 divided by -4\nAnswer: -19121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 94774*v. Let p(z) = z. What is f(p(h))?\nAnswer: 94774*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -621628*i. Let s(y) = -8*y - 4. What is s(w(d))?\nAnswer: 4973024*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83055 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 3*b**4\/4 - 15*b**3 + 5*b**2\/2 - 2780*b - 10164. Differentiate n(l) with respect to l.\nAnswer: 9*l**2 - 90*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1644520 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 5 (b) 22 (c) 9 (d) -1256 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 347363 or 347361?\nAnswer: 347363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 1\/2*i**2 + 0 - 331\/2*i**3 + 5*i. Let s be t(-3). Round s to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p. Let s(d) = -205*d - 184*d - 187*d - 2 + 558*d. Calculate s(h(k)).\nAnswer: 108*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10775 and 30215255?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 + 2. What is the closest to 2 in 4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 - 5*l - 5. Let i be t(-5). Let r be 5\/((-3)\/(-3))*i. Calculate the remainder when r\/(-2) + 27\/18 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.8 + 19. Let f = p - -0.74. What is the closest to f in -0.1, -4, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, g: 1, y: 2, f: 1, s: 1, p: 4}. Give prob of picking 1 f, 1 r, and 1 g.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 - 5*o**2 + 2*o - 5. Let f(t) = 6*t**3 - 8*t**2 + 3*t - 8. Determine -5*f(r) + 8*q(r).\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 715 + -708. Solve 5*f = -1 - 4, -2*x - f = -b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(32\/(-40)*(-1)\/8). Let r be -2*(-2)\/o - (-177)\/(-15). Which is smaller: r or -10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 139 + 3 = 0. Let z(a) = 5*a**2 - 3*a + 20. Let n(f) = -2*f**2 + f - 7. Calculate h*n(c) - 6*z(c).\nAnswer: 4*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 182061 = -3*p. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 580 + -584 + 1 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 14, 49, -4\/841?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-55)\/20) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1602, 1785, 1968, 2151, 2334?\n\"Answer: 183*l + 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(170)\/(2*sqrt(10) - sqrt(10)) + 1*sqrt(17) + -5 + -2.\nAnswer: -7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307193 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1089, 2260, 3451, 4662, 5893?\n\"Answer: 10*q**2 + 1141*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.12? (a) 0.3 (b) 4 (c) 1\/305 (d) 1\/4 (e) -4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**2\/2 + 5*h - 2. Calculate the remainder when s(4) is divided by 6\/15 - 189\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 5 (c) -2\/9 (d) 65 (e) -395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.49298809 to 4 decimal places.\nAnswer: -4.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 2*k**5\/15 - 7*k**4\/8 - 17*k**2. Find the second derivative of t(v) wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**3 - 100*z**2 - 520*z + 307. Give u(38).\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3684 - -3684.7. Sort 0, -4, i, 4, 0.05 in ascending order.\nAnswer: -4, 0, 0.05, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6345, 12689, 19033, 25377?\n\"Answer: 6344*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*y + 64*y + 174*y - 374 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(308\/(-24)))\/((-4)\/((-28)\/13)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -54*w**3 - 9*w**2 - 16*w - 45. What is the tens digit of r(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + (-96)\/(-36). Let j(u) be the first derivative of -1\/2*u**2 + 2 - p*u + 1\/3*u**3. Give j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(26 + 0\/2). Solve 0 = n + u - 2*u - 2, j = -5*n - 4*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34300 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -16 - -5 - 18 - (17 - 25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {x: 4, e: 1, d: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t - 1. Let g be u(-2). Determine d so that d + 45*d**g - 7*d - d**3 - 15*d**2 + 87*d**4 + 34*d**3 = 0.\nAnswer: -1, -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 1, l: 2, e: 12, s: 3}. Give prob of sequence lses.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/5 - (-4)\/10. Suppose -3 = -k, l + 5*k - o = 5*l. Let v = 165 + -160. Solve -2*h = -v*p, -7 = -p + l*h + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m**(2\/11)*(m\/((m*(m**(-2\/5)\/m)\/m)\/m))**(-46))**(-18\/11) assuming m is positive.\nAnswer: m**(153036\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, -8, -29, -50, -65, -68, -53, -14?\n\"Answer: g**3 - 9*g**2 + 5*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*((2 + 0 - 3)*(-4*g + 4*g - g**2) + 186*g**2 + 10834 - 10834) to the form a + v*g + k*g**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -529574.9882 + 529466. Let i = 351 + -460. Let y = v - i. What is y rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 12:11 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 9*c**3 - 21*c**3 + 127988*c**2 - 127870*c**2)*(0 - 5 + 0) to l*c**2 + o*c + i*c**3 + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 12 - 52. Let j be (-20)\/15*(-6)\/20. Which is the nearest to 1? (a) -2 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**16\/i))\/i**(-15\/7))**(3\/37))**(-26) assuming i is positive.\nAnswer: i**(6474\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 8*t**2 + 5*t + 2. Let d be n(-6). Let p(l) = -1 - d*l - 5 + 6. Let g(b) = 2*b**2. Calculate p(g(u)).\nAnswer: -88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 take away -0.23516?\nAnswer: 291.23516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2987 + 2985. Sort -4, 5, 1\/3, i, -40 in increasing order.\nAnswer: -40, -4, i, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*z - 437 + 2687 = -1132 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35 (b) 1\/98 (c) 4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 4. Let w be h(6). Let j(d) = -2*d + d**w + d + 2 + 2. Does 20 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17286 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (54567\/36)\/(129\/172)?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 36*z**2 - 6*z + 35*z**2. Suppose 0 = -2*b + 6*b + 28. Let o be n(b). Solve -2*j - j + 6 = o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/7 - 208*s\/7 + 1392\/7 = 0. Calculate s.\nAnswer: -58, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201.35 + 198.744. What is u rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2928971*n + 2619213*n + 440552*n - 1 - 1658579*n.\nAnswer: 4330157*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32826351 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by 65946.\nAnswer: 70\/10991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2. Let x = -26 - -28. Let b(t) be the third derivative of 0*t**3 + 0*t**4 - 1\/60*t**5 + 0 - x*t**2 + 0*t. Give b(f(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 744 divide 21029428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 138*y - 63*y + 11894 = 60*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*s - 3*s = -16, 64 = 5*k + 3*s. Suppose 58 = 3*i - k. Let r = -11 + i. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) -2\/23 (c) -0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.084324us to minutes.\nAnswer: 0.0000003514054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-2)\/(-2))\/((-48)\/(-156))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8472, 1414 in descending order.\nAnswer: 8472, 1414, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let l(f) = -9*f - 8 + 56121*f**2 - 28062*f**2 - 28060*f**2. Give l(p(y)).\nAnswer: -y**4 - 9*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165236.\nAnswer: 2, 101, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from vqvqmvqqqvvvqvaqvvq.\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 5*v - 2. List the prime factors of c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4798.\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -221*h + 220*h + 2*w, w = -2*h + 263. What are the prime factors of h?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17360*q**2*w**2 - 56*q**2*w + 2*q**2 - 9*q*w**2 - 3*q*w + 94*w**2 + 152*w wrt q?\nAnswer: -34720*w**2 - 112*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 73547830\nAnswer: -73547830.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*n + 42 = 0. What is the least common multiple of n and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q - 1. Let l(a) = a**3 + 4*a**2 - 4*a - 15. Let j(o) = 4*f(o) - l(o). Calculate j(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69302156013.700008 - -69302531083. Let b = h + -375083.3. Let i = b + 14. Round i to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-3300)\/(-1375).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 + 7 + (0 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*d + 4)*(51 + 45 + 8 - 24).\nAnswer: 160*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 110*w - 116*w - 1.\nAnswer: -226*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (27548\/426)\/((3\/1)\/612)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3015 by 15.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004452 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15.49 (b) -1\/5 (c) -15 (d) -3\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k - 25. Suppose 0*g = -k*g. Solve z + 5 + 0 = g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 2*n + 1. Let v(l) = -6*l**3 - 14*l**2 + 46*l + 10. Calculate 12*i(y) - v(y).\nAnswer: 6*y**3 + 2*y**2 - 22*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n + 10 + 8*n**2.\nAnswer: 8*n**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let y(s) = -70*s. Let h = 13560 - 13581. Give h*d(w) - y(w).\nAnswer: 49*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126557 and 22416.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j - 596. Determine y(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m + 1696. Let f = m - 423. Solve d + 6 = f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 - -0.57. Let r be (-14)\/18*(-10 + 204\/21). Which is the fourth biggest value? (a) h (b) -2\/3 (c) r (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20 and 1.6006109008.\nAnswer: -18.3993890992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -58*l + 424. Calculate r(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*r - 553 - 231*r - 291*r.\nAnswer: -122*r - 553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1200, -78784, 2 in descending order.\nAnswer: 1200, 2, -78784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409239 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 7 - (-8)\/(-20)*-5. Let k = 5 + -3. Solve -k*v + 1 - a = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:05 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j + 0*j**3 + 6*j**2 - 29\/4*j**4 + 5 - 17\/12*j**5. Find the second derivative of w(k) wrt k.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 145528, 292134, 438740?\n\"Answer: 146606*l - 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -410*v + 459*v - 52*v. Let x(o) = 4020*o. What is x(k(z))?\nAnswer: -12060*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 658 - 42354*o + 42352*o + 81 to the form k + i*o and give k.\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyrhehvvv. Give prob of sequence yh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a - 3. Suppose 5 = 5*h + 15. Does 3 divide f(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 41, 41, 29, 5, -31?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*f = -4*w + 20, -4 = 3*w - f. What are the prime factors of 273*1\/2*(w - -2)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1242115164.7 to the nearest 100000.\nAnswer: -1242100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -5\/6*b**3 + 0 - 11\/12*b**4 - 9*b**2 + 0*b. Differentiate o(j) wrt j.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 419.\nAnswer: 6285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12)*-2 - sqrt(12)) + 4 - sqrt(12)) + ((sqrt(144)\/sqrt(3) - sqrt(3)) + sqrt(3) - (sqrt(6) + -2*sqrt(6))\/sqrt(2)))*-5.\nAnswer: -20 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s + 5*v, 3*s + 3*v - 24 = 6*v. Suppose -j = 2, 3*y - 4*j + s*j = 1433. Let t = y + -294. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(2 + 2) + 0. Let r(n) = 3*n**3 - 19*n**2 + 10*n - 14. Let c be r(6). Let o be s*c - 5\/5. Which is greater: o or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130447 > -130447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -539347 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -41*c + 0 + 1\/5*c**5 - 25\/2*c**2 - 1\/6*c**3 + 0*c**4. Find the first derivative of y(i) wrt i.\nAnswer: 12*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8054*a - 7915*a - 1668 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 20*k**2 - 6. Let r(z) = 4996*z + 49 - 9991*z - 14 + 4995*z - 120*z**2. Give -6*r(n) - 35*u(n).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 48\/13, -2\/15, 0.1, 0?\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12207705 - -10?\nAnswer: 12207715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from fbe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-12))\/((-1)\/5). Suppose -m = -s*m. Solve 5*t = 6*t - 2*p - 1, m = 2*p - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 2. Suppose 2*s - 40 = 68. What is the highest common divisor of s and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 59*f + 5. Let h(p) = 3*p. Determine h(d(j)).\nAnswer: 177*j + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38879341 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v = 324. Suppose 5*q - v = 27. Calculate the highest common divisor of 27 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 - 4*t**2 - 2*t - 10. Let d(z) = -z**3 + 1. Let s(v) = 3*d(v) + l(v). Calculate the least common multiple of s(5) and -1*((-88)\/4 + -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 266 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = 4*h. Let q be ((-1)\/h)\/(4\/48). Does 17 divide (222\/q)\/((-15)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 7*l + 1. Let n(x) = 2*x**2 - 4*x - 1. Let j be n(3). Suppose -u - 20 = -j*u. Calculate s(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*r + 19, -4*r + 3*a = -2 - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/3 (b) 0.5 (c) -3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 11*z + 23. Calculate m(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d - 16. Let x(s) = -s**3 - 7*s**2 - 3*s - 6. Is x(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/60 + 7*r**4\/24 - 7*r**3\/6 + r**2. Let q be t(5). Find the first derivative of -2 + q*u - 2*u + 5 wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 3*u - 1. Let k be o(-2). Find the common denominator of (-307)\/66 + 7\/k and 83\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 6156?\nAnswer: 43092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -11. Let x be 434\/1127 + 9\/f. What is the second smallest value in -1, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + s - 3. Let k(u) = 10*u**2 + 5*u - 15. Let l(d) = -2*k(d) + 11*r(d). Let h = -87 + 84. Calculate l(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2040 + -1998 + 1 + -38.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 4*m**2 + m - 2. Let n be y(-2). Calculate the smallest common multiple of 201\/15 - n\/(-10) and -5 + -11 + 22 + 5.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -15\/4573, 2 in descending order.\nAnswer: 2, -15\/4573, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20940 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(42)*-2)\/sqrt(6) - -3*sqrt(21)\/sqrt(3)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 - 7*v + 5. Let p(b) = 6*b**2 + 11*b - 8. Let c(m) = -8*i(m) - 5*p(m). Give c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*c = -192, 10*c - 15*c - 192 = -4*l. Suppose 0 = l*x - 38*x - 770. What is the lowest common multiple of x and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Let z be ((-448)\/(-40) - 11) + 42\/15. Solve -y - 12 = -v*c, -2*y - z*y = 3*c - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00246052 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35480019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 4\/11*c - 2\/11*c**2 + 12\/11*c**3 - 4\/11*c**5 - 2\/11*c**4 = 0. What is c?\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let c = -1 + 3. Suppose -2*l + 7*l - 3*i = 5, 5 = -5*l + 5*i. Let a(b) = -b**2 - 2*b**2 - c*b**2 + l*b**2. Determine z(a(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3 - 4*g + 0 + 3. Let u(p) = 3*p. Calculate s(u(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/(-1450)*(-10)\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1841 and -55\/1260033?\nAnswer: 8820231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:21 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148431182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = 170*p + 329 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3923 - 3922.93554. What is o rounded to three dps?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 736848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 6*r + r)*(-4 + 3 - 3 + (-1 + 3 - 4)*(-1 + 2 + 0) - 1 + 0 + 3).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuffufffuuufufuufufu. What is prob of picking 2 u and 1 f?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001670186511 to five dps.\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, 364, 11 in descending order.\nAnswer: 364, 11, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 4, 7927*j - p + 25 = 7929*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/522444 and 79\/7191288?\nAnswer: 122251896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131528*h + 131695*h + 76*h**2 - 263223*h.\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 6*m**3 - 1049*m + 861*m.\nAnswer: -7*m**3 - 188*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 4.6, 0.5, -1?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-19)\/(-3))\/1 - 3. Which is the fourth smallest value? (a) u (b) -3 (c) 0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7583567 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + (-18)\/4. Let h(x) = -7*x**2 - 8*x - 6. Let p(j) = -4*j**2 - 4*j - 3. Let c(u) = w*p(u) + 3*h(u). What is c(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1324 and 20?\nAnswer: 6620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/3 (b) 15 (c) -1\/8 (d) 0.4 (e) -128610\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5 - 1545*d**4 + 597155*d**3 + 211078545*d**2 + 8200076850*d + 7989597000 = 0. What is d?\nAnswer: -315, -44, -1, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x**3 - 46011*x**2 + 57498*x - 11499 = 0 for x.\nAnswer: 1\/4, 1, 3833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(143)*-1*6)\/((-2*sqrt(66))\/sqrt(6)*-4)*2)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*-4)\/((-70)\/(-15))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 703621 or -128?\nAnswer: 703621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*2\/(-4)*2. Let i = 7 + n. Suppose i*t = -t + 21. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 8:46 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1566 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10062 (base 12) to base 7\nAnswer: 114446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (93\/(-310))\/(-2 - -5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 14 = p + 46*z, 0 = 5*p - 2*z + 22. Which is the closest to -2\/3? (a) 1 (b) p (c) 2\/19 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.6 - -20.6. Which is the second biggest value? (a) j (b) -1.8 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -25*a**4\/12 + 11*a**3\/3 - 201*a**2. Does 50 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2278*o - 2290*o + 768 = 0. Sort -2, o, -1, 3.\nAnswer: -2, -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3188*a. Let t(l) = 18*l. What is d(t(r))?\nAnswer: -57384*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-8)\/(-140))\/((40\/50)\/4).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {p: 2, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t + 81 = 43*t. Suppose 0 = -0*n + n + 5*y + 12, 3*y + t = 0. Find j, given that 0 + 14\/13*j**n + 4\/13*j - 18\/13*j**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12177537 times -3?\nAnswer: -36532611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/2*32\/(-6). Let t(c) = 13*c - 476. Let p be t(37). What is the highest common factor of m and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504815272?\nAnswer: 2, 13, 17, 37, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -5*q + 12, -3*q + 2*n + 5 = 0. Which is the closest to 1? (a) -2\/15 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, -132, -555, -1262, -2253, -3528?\n\"Answer: -142*r**2 + 287*r - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5438248426 + 6.\nAnswer: 7.5438248426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 + 140*p + 138 = 0. What is p?\nAnswer: -69, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21700)\/(-6200)*107\/14?\nAnswer: 107\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**3*q**2 - 6*h**3*q - 48784*h**3 + 532241*h**2*q**2 + 5*h**2*q - 3*h*q**2 wrt h.\nAnswer: 24*q**2 - 36*q - 292704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/18)*j)\/j)\/(j*j**(-1\/6)\/j))\/(j**(-5)*j\/(j*j**(1\/3)*j)*j) assuming j is positive.\nAnswer: j**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2100816 divided by 72\nAnswer: -29178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6150 + 6146. Let w = -2.4 - -2.1. Let r = 1 + 2. Which is the fourth smallest value? (a) r (b) 6 (c) w (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 23 (b) 41 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1520761601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58650260453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgobgbb. Give prob of sequence gg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-3*z - 4*z + 3*z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*w - 8, -4 - 16 = 4*w - 4*u. Let q = 20 + w. Solve 5*x = -q - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -5366, -18481, -44120, -86459?\nAnswer: -149674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -750559.90082?\nAnswer: 750554.90082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -461 - -376. Let o = 250 - 371. Let z = q - o. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + -4 + 0\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*f + 31, 4*f + 32 = 3*u + u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {h: 2, p: 1, r: 1, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2893, 3 in decreasing order.\nAnswer: 3, -3, -2893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712 less than -0.161?\nAnswer: -4712.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -99*i - 9. Let t(l) = 49*l + 4. Calculate 5*t(w) + 2*z(w).\nAnswer: 47*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*d + 3*j, -j - 63 = -2*d + 4*j. Let z = -100 + 31. Let b = z + 126. What is the greatest common divisor of b and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**4\/6 - 25*p**2. Let q(w) = 2*w. Determine r(q(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5312162*a**3 + 648*a**4 + 5312162*a**3 - 1 + 1 - 2*a**4 + (-2 + 2 + a)*(-a**3 - a**3 + a**3) + a**4 + 3*a**4 - 6*a**4.\nAnswer: 643*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/3))**(1\/7)*(s\/(s\/(s\/s**6)*s*s)*s)\/(s**9*s) assuming s is positive.\nAnswer: s**(-332\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2926 - -18833. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 10*o - 7350 + 4*o + 3*o + 7350.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.22389 days in seconds?\nAnswer: 278544.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:15 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94533*c**6 + 2*c**4 - 18*c**2 + 1353*c - 1?\nAnswer: 11343960*c**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 87 = g, 1594*g - 3*f - 87 = 1597*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {x: 1, c: 6, u: 1, t: 2, h: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 261*i. Let c(r) = -13*r. Let y be (171\/(-285))\/((-12)\/80). What is y*x(l) + 81*c(l)?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k - 201. Let d be x(9). Solve 2*o - d = 8*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 14*f**2 + 48*f - 72. Calculate the remainder when o(16) is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04684402 to 3 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -600 - -600.3. Which is the nearest to -2\/13? (a) -5 (b) q (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (1*-22 + -3 + -3). Suppose -5 = 3*n - f. What is the remainder when n is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -684, 36, 2, -2.\nAnswer: -684, -2, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1041329.8?\nAnswer: -104132.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8484 is divided by 4188?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -161?\nAnswer: 32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331688.\nAnswer: 2, 3, 55487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -105. Let g = 67 - y. Let r(l) = l**3 + 5*l**2 + 3*l - 2. Let m be r(g). Which is smaller: m or 17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 12 = -6*q, 60*q - 2*a = 55*q - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -1, 0 in decreasing order.\nAnswer: 10, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*o)*(-9*o + 7*o - 232*o) + o**2 + 0*o + 0*o + 1 - 2*o**2 - 1 + (5*o - 4*o - 3*o)*(o - 4*o + 4*o).\nAnswer: 465*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1167754 and 14.1?\nAnswer: 16465331.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69950414, 69950404, 69950392, 69950378, 69950362, 69950344?\nAnswer: 69950324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4\/12 + 544*a**3\/3 - 19523*a**2\/12 + 10838*a\/3 - 2167 = 0.\nAnswer: 1, 2, 6, 2167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -33. Let m(t) = 1361*t - 132. Calculate m(f) - 4*w(f).\nAnswer: 1361*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -39*x**2 - 191*x - 326. Let f(q) = 8*q**2 + 38*q + 65. Let y(o) = 11*f(o) + 2*t(o). Is y(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-24) + 650\/(-1040))\/((-80)\/3).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5775 is divided by 397?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3223943?\nAnswer: 3223943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*i + 23, 0*g - g + 3*i = -1. Solve 5*k = -c + 27, 4*c - 3*k = -g*k + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2 = 2*o - 9, -2*o = 5*p - 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121255208?\nAnswer: 2, 487, 31123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 91.1. Let m = s - -5.9. Which is smaller: 10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 353678 divided by -1586\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:24 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001572337 rounded to seven dps?\nAnswer: 0.0001572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1006*n + 1288. Determine p(-1).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.57 minus -10?\nAnswer: 5.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4852097?\nAnswer: 53, 83, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611 + 8*f**2 + 611.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 8 + 1 + 1, 2*c + 370 = -36*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + -0.5. Let v = n - 1.5. Let k be 60\/(-80) + (-3)\/(-20). Which is the closest to 1? (a) k (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*m = 14, -5*x - 4*m + 6 = -3*m. Suppose -120 = -17*b + x*b. Solve -7*y = -9*y + b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 3182.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 + -240. Which is the second biggest value? (a) 0.4 (b) 3\/2 (c) 5\/4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459904722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 6 - 5)*(-13*w + 3*w**3 - 84*w - 23*w) as u*w**3 + x*w**2 + z + s*w and give s.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -128489 greater than -128605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -9, 19, 57, 105, 163?\n\"Answer: 5*i**2 + 3*i - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1528362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -13. Suppose 2*m + m = -3*v, -r = -5*v - 2*m. Let l be 28\/16 - v\/(-4). Solve 4*t - 6 = 5*t - 2*h, 0 = t + l*h - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4*t - 16, -t - 259 = 4*r - 255 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 4*c - 24 = -29*u, -4*u = c - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13992, 16569, 19136, 21699, 24264, 26837, 29424, 32031?\nAnswer: 34664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -377 - -253. Suppose -4*n = -8, 440 = -5*w + n - 487. Let c = z - w. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, -2, -1, -153.\nAnswer: -153, -26, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*m + 3*m**2 + 218*m - 2*m**2 + m**2.\nAnswer: 2*m**2 + 145*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 422203 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8033 is divided by 1556?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -12076*q - 193221. What is s(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 14}. Give prob of picking 3 l.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -41. What is the remainder when -3 + (21 + 3)*1 is divided by ((-14)\/w)\/(-1 - (-38)\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54237 divided by -1.\nAnswer: -54237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.6399, 3, 4, 2 in increasing order.\nAnswer: 2, 3, 4, 4.6399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 143 * 14\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2326 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1139 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n\/n**(-27)))\/n)\/n**(-22\/7))\/(n**(-3\/4)\/(n\/(n\/(n*n**(6\/11))*n))) assuming n is positive.\nAnswer: n**(-6949\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 636 + 506 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 5941393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100\/24*3\/(-10)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 2*m - 3. Let k(t) = -17*t + 69. Let d be k(4). Give j(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401031 + -3?\nAnswer: -401034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/(684\/2793*7)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(200) + -2 + sqrt(200))*5 + 2)**2 - -4*sqrt(14)\/(-1*sqrt(1008))).\nAnswer: -4801*sqrt(2)\/3 + 20059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -7. Let k = 25 - h. Let w be -22*52\/(-16)*2. What is the greatest common factor of w and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 104*y**3 + 4*y**2 - 296*y**3 - y**2.\nAnswer: -192*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.5 + -27.5. Which is smaller: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -325 - -0.0845.\nAnswer: -324.9155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170 - 677. Is (b\/9)\/((-1)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 + 108. Let g(a) be the first derivative of 1\/3*a**k + 0*a**2 + 0*a - 2 - 1\/4*a**4. Find the third derivative of g(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*r**3)*(-6 - 4*r + r + 5*r).\nAnswer: -4*r**4 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 8*z + 3. Let u(k) = -k**2 + 7*k - 2. Let v = 69 - 73. Determine v*s(g) - 5*u(g).\nAnswer: g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*y - 89*y - 139*y = 55*y + 9384 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s**3\/s))\/s)\/s*s*s**(-13\/3))**(-18))**(1\/22) assuming s is positive.\nAnswer: s**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 2*m - 4. Suppose -2*t - t = -9. Let h(c) = -3*c**3 + c + 4*c**t - 2*c + 3*c**3. Let x be h(-1). Give y(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 118493 + 78 = 0. Let f be 5\/15 + i\/18192. Let g = f + -7\/2274. What is the common denominator of g and 37\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -6*a + a + 60, 2*a = v - 3. Suppose -5*q + 91 = -24. Let r = q - v. Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Let k(r) = r**2 - 3*r + 6. Suppose 53*j - 1014 - 192 = -14*j. What is the lowest common multiple of j and k(q)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/5 - 53438*v**4\/5 + 712405978*v**3\/5 + 40082145112*v**2\/5 - 262569120443*v\/5 + 44354924558 = 0. What is v?\nAnswer: -62, 1, 5, 26747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(48)*-4) + (sqrt(19)*1 + 0)**2 + sqrt(1900) + -2.\nAnswer: 17 + 159*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18091306 is divided by 402029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -52, -108, -186?\n\"Answer: -11*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/13 - 418*u**3\/13 - 4800*u**2\/13 - 14184*u\/13 = 0 for u.\nAnswer: -197, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23980 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k - 42*k + 26*k - 59 - k**2 to y*k + v + n*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-0.498.\nAnswer: 0.2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = 927*z - 903*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0479 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -c + 545, 5*c - 2605 = 9*z - 4*z. What is the highest common factor of c and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0 - (0\/1 - (8 - -3)). What is the greatest common factor of 1884 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 times -1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 u, and 1 c when four letters picked without replacement from {r: 4, u: 1, h: 1, t: 6, e: 2, c: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146317687*c**2 + 288607020*c wrt c?\nAnswer: 292635374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.077 and 1.6.\nAnswer: 0.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 114. Let t = 30 + -13. What is the remainder when m is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(-9)))\/(((m*m*(m*m*m\/(m\/(m\/m**(-4)))*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 43. Let k(p) = -2*p. Determine q(k(l)).\nAnswer: -4*l + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o - 3*o = 0. Suppose o = 13*v - 11*v - 114. Suppose 0 = -8*w - v - 15. Let z(h) = -h**2 - 8*h + 12. Calculate z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - p - 2079 = 885. Let x = 717 - 1172. List the prime factors of 18\/(-10)*x\/p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -2\/17, 1\/2, 18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -1 - (-1 + -3). Let p be 9\/2*4\/x. Suppose -j + p = -22. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 82 = -2*j, 0 = -5*p + j - 5*j - 135. Let x = -20 - p. Suppose 2*f - 19 = 3*b + 168, x = b. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -7*n**3\/6 + 119*n**2 - n + 56. Let q be m(34). Factor 4\/3*v**2 + q + 2\/3*v + 0*v**3 - 2\/3*v**5 - 4\/3*v**4.\nAnswer: -2*v*(v - 1)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 0.4, -0.5, 1531, 1\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31189377703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 10 - 10)*(-12 - 162 + 68).\nAnswer: -424*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 4, -29, 2 in ascending order.\nAnswer: -29, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cscs when four letters picked without replacement from {s: 12, c: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133583103?\nAnswer: 107, 2179, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-9)\/i))\/(i*(i**(-1)*i)\/i))**(-11\/4)*i\/(i\/(i**6*i*i*i))*(i*i**(1\/8))\/i*i*(i*i**3*i)\/i**(-1\/2) assuming i is positive.\nAnswer: i**(-117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-295*(-20)\/(-150))\/(-1)*6 is divided by 105.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(((d*d*d**(2\/11))\/d)\/d)*d))*d*d\/d**4)**2\/(d**(-2\/53)*d**14)**(4\/23) assuming d is positive.\nAnswer: d**(-10618\/13409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -24 + (-12 - (10 + -30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30770377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:26 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 41*w**3 + 57*w**3 + 0*w.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.186545? (a) 1\/6 (b) 1\/5 (c) -1 (d) 1.6 (e) -5 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 0. Let z be f\/3 - (-2)\/6. Suppose 13*v = 10*v. Solve -3*b = -z*i, 3*b + v*b = -3*i - 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706860878.\nAnswer: 2, 3, 281, 1012373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + t**2 + 4*t**3 - 4*t + 19 + 2*t - 42 + 5 to the form v*t + p*t**3 + x*t**2 + z and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4 - 2 - 487*b**3 - 3*b + 5*b + 4*b**2 + 4 + 0*b. Is 16 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-440)\/(-30)))\/((-21)\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o**(-2\/5))**(-23)*(o**(4\/3)\/o*o\/(o**(1\/3)*o))**(-4\/21) assuming o is positive.\nAnswer: o**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express 1 + w - 1 + (1 - 1 + 3)*(-10 + 10 + 15*w) + (-19*w + 13*w - 21*w)*(1 - 1 - 1)*(-1 - 3 + 5) in the form p + m*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -47. What is the remainder when 35 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 2.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1 + t + 7 - 4 + 11. Let p be r(-11). Let 0*y - 2*y**3 + 2\/5*y**p + 0 + 8\/5*y**4 = 0. Calculate y.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5481 = 10*u + 11*u. Let g = u - -3226. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 + 6*n**2 + 3*n - 47. Let l be p(5). Let a = l + 225. Round a to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2*p - 2. Suppose k + k + 3 = n, 5*k - n + 15 = 0. Let q(r) = -2*r**2 - 5*r - 4. Determine k*q(j) + 9*t(j).\nAnswer: -j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1965 by -418.\nAnswer: 1965\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3232145 is divided by 76?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.802524991 to 4 dps.\nAnswer: -0.8025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -187\/5, -11, -0.2, 1.4, -26?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3278, 4876, 18466, 37492, 61954?\nAnswer: 91852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/143 and -54\/1547.\nAnswer: 17017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 3*d - 7. Is y(-5) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 1 - 1 + (5*s - 4*s - 3*s)*(-4 + 6 + 5) + s - 1 + 1 - s + 0*s + 2*s.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Suppose 0 = -0*j - x*j. Solve -6*g + 2*g + 4 = j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + 11. Let x = t - 14. What is the least common multiple of 7 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - -2.1. Let b = 5 + -1. What is the closest to -1 in 2, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, q: 2, s: 2, h: 4}. What is prob of picking 1 g and 1 s?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000221121 + 102221200?\nAnswer: -2120222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3494*c**3 - 606*c**3 - 10*c + 10*c.\nAnswer: -4100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 26. Let b = q + 8. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*v*x**3 - 99*v*x*z**3 - v*x*z + 81*x**3*z**3 + z**3 + 4 wrt v.\nAnswer: -8*x**3 - 99*x*z**3 - x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/30 + 1\/5. Suppose -a*n = -n - 32. Calculate the smallest common multiple of 6 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -612974\nAnswer: -4\/306487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -3. Suppose -685*y - 15563 + 4952 = -3644*y - 164479. Which is the smallest value? (a) -1 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 9 + -2 + -15 - 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176148 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 - 5343528*s\/5 - 1068705.\nAnswer: -3*(s + 1)*(s + 1781175)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -0.3 (b) 32 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/4 - 3*y**3\/2 - 21*y. Let r(z) = -2*z**2 - 5*z. Suppose 0 + 18 = 2*h. Give h*r(k) - 5*f(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1573*8.\nAnswer: 9.2584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6, h: 3, n: 4}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 146959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (26\/8)\/13 + (-4 - (-440307)\/36)?\nAnswer: 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 1. Let r be k(1). Suppose -2*z + 4*h = 12, -4*h + 10 + 12 = 3*z. What is the derivative of -v**z + 5 - 6 - v**r wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 81*b = -170 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 8:15 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/187 and 44\/5457.\nAnswer: 60027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -7524652.\nAnswer: 1\/3762326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, q: 5, j: 1, i: 2}. Give prob of picking 2 q, 1 j, and 1 e.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 8. Give j(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 15 = -17*x. Suppose -2*g + x*a - 6 = g, -14 = -g - 3*a. Solve g*i = 4*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.7 + 0.7. Let w = c - -13. Is 0.6 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-750)\/175*14\/(-8). What is the closest to 1 in o, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 10:08 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209359 take away 3227232.8?\nAnswer: -3017873.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgbgbfbbbfbzffjfbf. Give prob of sequence jf.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -909 = -17*k - 370 + 4544. What is the remainder when 875 is divided by k?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90895 and 9805.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 9. Suppose -3*f - 4 = 2*r, -f = 4*f + n*r + 12. What is the units digit of -6*((-7)\/(-2) + f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 9. Let q be t(-6). Suppose -2*r - 4 + 0 = w, 5*w + q*r = 1. Solve -5*g + 3*b + 16 = 0, w*g + 3*b - 2*b = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**2 - 37 + 1\/3*l**3 - 3*l. Let x(g) = -2*g**2 - 7*g + 4*g**2 - 5 + 3*g. Determine -7*i(c) + 4*x(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -760 - -16. What is the least common multiple of 18 and (n\/(-16))\/(3\/4)*1?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8895035 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198 - 2 - 37942*d + 200)*(-2*d + 3*d + d**2 - 2*d).\nAnswer: -37942*d**3 + 37942*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 2 in ascending order.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -91\/4. Let m = 43 - 43.2. Let o be 12*(-4)\/20 - -2. Which is the second smallest value? (a) o (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k + 52. Determine i(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:27 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/2 - (-3)\/(-3). Let a = r - -14. Let g = -28 - -37. Solve 0 = a*j - 2*y, -g = -4*j - 0*j + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 z when four letters picked without replacement from zozzzozo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, u: 2, y: 2, e: 13}. Give prob of sequence ve.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 574 + -393. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -138*g**2 + 7*g + 11. Let h(q) = -68*q**2 + 4*q + 6. What is 7*h(s) - 4*m(s)?\nAnswer: 76*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (21 - (10 + 9)) - 43.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17766 and 17118.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(136)*1 + sqrt(136) - sqrt(136)) + sqrt(136)))\/((sqrt(88) + sqrt(88) + 2*sqrt(88) + sqrt(88))\/sqrt(11)) + -4.\nAnswer: -4 + 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7241545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = -g - 756, 2240 = -3*g + 2*s. Let r = -8176\/11 - g. Let 8\/11 + r*n + 2\/11*n**2 = 0. What is n?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416094873, 1416094874, 1416094875, 1416094876, 1416094877, 1416094878?\nAnswer: 1416094879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-6) - (-2)\/(-6). Let p(f) = 3*f**2 - 6*f + 12. Let l(x) = -x**2 + 3*x - 6. Let k(w) = o*l(w) + 2*p(w). What is the units digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32176, -31844, -31512, -31180, -30848, -30516?\n\"Answer: 332*q - 32508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -4. Let u be z*(-6)\/(-9)*-2. Factor -4*a**4 + u*a**5 - 6*a**5 - 4*a**5.\nAnswer: -2*a**4*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 59*y - 3. Let c(d) = -59*d + 3. Let o(f) = -3*c(f) - 4*n(f). Let q be o(3). Let j be (q\/27)\/2 + 3. What is the third smallest value in 1\/2, j, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.2, -4, 125?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14308 + 14325. Solve x + 16*g = c*g - 7, 0 = -5*x + 4*g - 31 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 10*m**2 + 7*m + 38. Let r be w(11). Let j be 16\/6*(-45)\/r. Solve -6*c + 2*c + 2*y - 12 = 0, -4*c = -4*y + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.95 + 45. Let r = -2.95 - d. Let q = -3 - -2.8. Which is the biggest value? (a) r (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 89*m**4\/4 + 103*m**3\/2 + 6*m - 11. What is the second derivative of a(k) wrt k?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 4:42 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7548 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -44017803\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*n**2 + 2*n**2 - 2*n + 0*n**2 - 72*n**2 as x + m*n**2 + a*n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = 0, 3*l = 7*l + 2*b - 48. Let q(y) = 4*y**3 + 11*y**2 - y - 13. Is q(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/105*54\/28*(-18)\/27?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**3 + 10*d**2 - d + 20. Let g be m(20). Round g to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -45.56, 2\/9, -5, 1\/4, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4164 - -4163. Let a(m) = 92*m**2 + 4*m + 2. Calculate a(d).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 17946*p - 468. Let c(i) = 789625*i - 20475. Let o(j) = 8*c(j) - 350*h(j). Let a(y) = -2*y**2. What is o(a(d))?\nAnswer: -71800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -40, -4, 36 in decreasing order.\nAnswer: 36, 4, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156800 = -360*u - 103*u - 1105*u for u.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -701*g**5 + 829*g**3 - 2251184*g.\nAnswer: -14020*g**3 + 4974*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -184*(2 + 60\/(-28)) - (-34)\/(-119) is divided by 10*2 - (-2)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23783 bigger than -23785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (92\/8)\/((-1)\/(-2)). Suppose 0 = -27*w - 1577 + 7328. Let f = -191 + w. Is u equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 6202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 4*f + 8. What is m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 582*x**3 - 3*x**2 + 5*x + 3. Let y(w) = 1165*w**3 - 5*w**2 + 8*w + 5. What is 5*n(u) - 3*y(u)?\nAnswer: -585*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -164168, -328389, -492610?\n\"Answer: -164221*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*j + b, -3 = -2*b + b. What is the smallest common multiple of 5 and 9*j*(-4)\/9?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14890, -59559, -134006, -238231?\n\"Answer: -14889*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-788 - 1140 - 145)*(0*t - 6*t + 2*t) in the form o + h*t and give h.\nAnswer: 8292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 56*o. Suppose 3*r - 2*a = -2, 3*r + r = 4*a - 4. Let u(b) = 7*b**2 + r*b**2 - 6*b**2. Give q(u(h)).\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.82 * -2615575.\nAnswer: 2144771.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*y - 305*y - 640 = -630*y. Calculate the highest common factor of 904 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c + 31. Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818831 is divided by 3029.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 166, 207, 228, 223, 186?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:13 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v + 42. Let m be z(0). Let y = m - -10. Let c = 56 - y. Calculate the greatest common divisor of c and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (336\/15 + -7 - 7). Which is the smallest value? (a) -1 (b) l (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 14*b + 10. Let h be g(13). Let i = 14 - 13.93. Let r = i - 0.07. What is the second biggest value in h, -5, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n - 71*n - 29*n**3.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -8\/3, -0.5, -0.01, -3\/2 in decreasing order.\nAnswer: -0.01, -1\/4, -0.5, -3\/2, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjyujyjjjyjyyy. What is prob of sequence uyy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000110011 + -1011110000?\nAnswer: 111101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l + 2 + 0*l**3 + 9*l - 10*l**2 + l**3. Let i be v(9). Is (i - 0)\/((-3)\/(-33)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11303 - -5?\nAnswer: -112dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (173 - 163)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*m + 3 = 3*m, -1 = -2*q + m. Suppose -4*a - 72 = -4*d, -3*d + 2*a - 19 + 73 = 0. What is the remainder when d is divided by (-20)\/q - 0\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 2\/31, 2\/67 in increasing order.\nAnswer: 2\/67, 2\/31, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10348800 = -16*m + 240*m. List the prime factors of m.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2112988544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u - 1. Let w be d(1). Let n be 26\/w - 2\/(-5). Let j = n - 1. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11718.74309 + 11719. Round r to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 39*y = -14664. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12201 + -121001?\nAnswer: -210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:27 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 179. Let t = 124 - o. Let u(i) = 5*i - 36. Let a be u(t). Solve m + r + a = 1, 0 = 2*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, l: 4, h: 4}. What is prob of picking 3 l?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6 + 2 + 3 + 2*k**2 + 3 - 25*k in the form p*k**2 + c + z*k and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8940, 35866, 80762, 143628, 224464?\n\"Answer: 8985*t**2 - 29*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24\/5 (b) 0.3 (c) 5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7457 (base 11) in base 7?\nAnswer: 40520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74.9 + -75. Which is the third smallest value? (a) 8 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - c - 14624 = -171620. What are the prime factors of c?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -c - 8*z + 12, 2*z = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 3*f + 5. Let w(s) = 2*s**2 - 2*s + 4. Let d(o) = -o**2 - 5*o + 46. Let y be d(-10). Determine y*w(m) + 3*z(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 24. Let t = -19 + 40. Let c = t + x. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + (-3108)\/189)*((-6)\/(-108))\/1.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 710717, 711450, 712181, 712910, 713637, 714362?\n\"Answer: -i**2 + 736*i + 709982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 y when four letters picked without replacement from vyyyyyyyyyyyvyyyyyyv?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4734851, 9469705, 14204559, 18939413, 23674267, 28409121?\nAnswer: 33143975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggfg when four letters picked without replacement from ggfffggggffgfgggggg?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7040*h + 7079*h + 511 = -b, 4*h + b + 0*b + 56 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-17))\/(126981\/(-479706)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101000 - 2222111?\nAnswer: -121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and 56\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:53 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-8) - (-3969)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o**2 - 4*o**2 - 4*o**2)*(-o + 6*o - 4*o) in the form s*o**2 + b + w*o**3 + p*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g*j*p**4 + 14*g*j + 3324*g*p + 2474*g - 132*j*p + 9*j wrt p.\nAnswer: 24*g*j*p**3 + 3324*g - 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 8, 24, 54, 104, 180?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 251*w**2 + 740*w - 295. Give u(-248).\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4066.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4)*8\/(-6). Let a be (-10)\/35 + 40\/91. What is the third smallest value in -1, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -1\/60*z**6 - 1\/15*z**5 + 5\/3*z**4 + 0*z + 0*z**3 + 17*z**2 + 0. What is the second derivative of t(w) wrt w?\nAnswer: -12*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, -14, -40, -66, -92?\n\"Answer: -26*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 - 0) + -38 + (77 - 43)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxxmmmxxxmmmm. What is prob of sequence mmxm?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032\/(-828) - (-5)\/((-60)\/(-16)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*y)*(-y + 6*y - 3*y)*(-3*y**3 - y**3 + 2*y**3).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 3*q + 8*v, 0*v - 3*v + 2*v - 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z**2 - 4*z - 7. Let k(j) = 11*j**2 + 7*j + 14. Let m(h) = 4*k(h) + 9*t(h). Determine m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 6*g - 30. Let v be k(12). What is the greatest common factor of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 34 = -176. Let z = v + 351\/5. Which is the second biggest value? (a) 1 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/(-8)*91\/((-18668013)\/(-1026)) and -53\/12.\nAnswer: 43188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 7. What is the first derivative of -3 - v - x*v + v**4 + 3*v wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-40)\/210*3)\/((-2414616)\/603652 + 4)?\nAnswer: 2, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-327552)\/(-216) - 4\/9. What is the greatest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**2\/2 + 4. Let a(g) = -2*g. Give l(a(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r - 2209560 + 2209560. Let u(w) = -2*w**2 + 2*w**2 - 2*w**2. Determine u(x(c)).\nAnswer: -242*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 1520?\nAnswer: 6080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-6*j - 3*j + 4*j) + (-2 + 4 + 0)*(j - 2*j - j) - 2*j + 5*j - 2*j + 0*j - 4*j + 2*j + 0*j - 5*j + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5\/2 - 10647*a**4\/2 - 138197*a**3\/2 + 478483*a**2\/2 - 249891*a + 85072 = 0.\nAnswer: -10634, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/8*((-520)\/3 + -2)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0119077 + 5283.0419077. Let f = 5305 - x. Let g = -22.9 + f. Round g to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 512050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-2 - (-3 + -5)) + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5458 + 5457.8. Let h = -0.06 - -3.06. What is the fourth smallest value in -5, 3\/2, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -12. Factor h*y**2 - 3*y**4 + 0*y**3 + 3*y - 3*y**3 + 0*y**3.\nAnswer: -3*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229 + 383. What is the greatest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 0.1. Let y = f + 0.82. Let m = y + 4.98. What is the nearest to -1 in 1, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:13 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -1098 and 0.5.\nAnswer: -1097.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 10*f**2 + 13*f + 3. What is the remainder when q(9) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 16*f + 39. Let d be t(-16). What is the greatest common divisor of d and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 50*t**2 + 79*t + 230. What are the prime factors of q(-11)?\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-9) - 4)*9\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35738487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = o - 2 - 1, -15 = -5*y - 5*o. Suppose y = -a - 2*a + i + 395, 516 = 4*a + 4*i. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12968115, 51872474, 116713071, 207489906, 324202979, 466852290?\n\"Answer: 12968119*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 + 9*a - 5. Let g be -1*(0 + (-9 - -2)). Let q(s) = 25*s**2 - 3*s**2 + g*s + 16 - 16*s - 19*s. Let c(z) = -16*b(z) - 5*q(z). Factor c(i).\nAnswer: 2*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12098*a**3 + 12093*a**3 - 24183*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*d + 2*g, 3*d + 5 = -2*d - 3*g. Suppose b = d*b + 2. Sort -4, -1, b in decreasing order.\nAnswer: -1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 + 46 + 3*r - 2*r - 4*r - 49. Let g(n) = -n**2 - n - 1. Let z(b) = 3*g(b) - i(b). Let l(t) = -56*t. Determine l(z(p)).\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from uujjfvhf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*l - 2*p, p + 33 = 5*l - 0*l. Let s = -3029 + 3059. What is the highest common factor of s and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Suppose 0 = 6611*c - 6593*c - 918. What is the remainder when c is divided by u*2\/4 + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1475707 and -11.2.\nAnswer: 16527918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by -114\nAnswer: 86\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/3, -10, -5 in increasing order.\nAnswer: -10, -5, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/64 and 73\/8424?\nAnswer: 67392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 + -87. Solve 0 = u*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.6668ng in micrograms?\nAnswer: 0.2626668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806, -807, -808, -809, -810, -811?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3347125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 941*p**2 - 941*p**2 + 4*p + 1 - 45*p**3 to the form q*p + a + t*p**3 + o*p**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 89671 and 89705 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -o - 3*a - 7, -2*o + a + 111 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*w + 65*w + 4336 = 0. What is the remainder when w is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1436631?\nAnswer: 287326.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from uuhuuueuuuheuuu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1950 - 1.55\nAnswer: -1951.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895 at least as big as -0.076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94804312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (292 - -2)*1*(-4)\/(-6). Calculate the highest common factor of 112 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.02 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -212.98 and 101.\nAnswer: -21510.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -222?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -5, -2, -1, 3.40934?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b**2 + 197*b**2 + 439*b**2.\nAnswer: 658*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x**2 - 17*x. Let m(q) = -4*q**2 - 6*q. Give -11*m(c) + 4*r(c).\nAnswer: -4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**5 - 5*l**4 - l**3 + 3*l**2 - 3*l + 3. Let u(g) = 3*g**5 + 4*g**4 + g**3 - 2*g**2 + 2*g - 2. Let k(j) = 4*o(j) + 6*u(j). Factor k(i).\nAnswer: 2*i**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-7))*o**(-9)\/o)**(-45) assuming o is positive.\nAnswer: o**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyuyouuoouuuyyu. Give prob of sequence uuo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -12, -0.5, -2\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.894 + 20.7. Let l = -8.106 + z. Round l to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186f (base 16) to base 7.\nAnswer: 24144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2))**(-3\/40))**7)**(-2\/77) assuming b is positive.\nAnswer: b**(-3\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + 110313?\nAnswer: 111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -9 + -5 - -4 - (-2 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 - -112. Suppose 4*s = 3*g + 35 + 84, 0 = s - 2*g - 36. Let p = s + i. Solve -4*c - 16 = l, 5*l = 3*l + p*c + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9887344 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:30 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**4\/2 - 5*b**3\/6 + 305*b. Let t(p) = -2*p. Calculate t(m(h)).\nAnswer: -12*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 4, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1075 divided by -43.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knswsnsksswpnnnnpnn. What is prob of picking 1 k and 1 w?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 14 = 2*b - b, b - 21 = 5*c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134 + 5*z + 5*z - 8*z - 39 to the form w*z + f and give f.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2. Let p(g) be the first derivative of -4*g**3\/3 - 22. Calculate b(p(h)).\nAnswer: -112*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + c = c - 2*c + 33, 80*q = 88*q - c - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*-2)\/(sqrt(242) + 1*sqrt(242)))**2.\nAnswer: 17\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + -4 + sqrt(75)*-2)*-4 - ((sqrt(75)*1*-5 - sqrt(75)) + (sqrt(75) - (sqrt(75)*2 + sqrt(75)) - sqrt(75))*-1)) + -4)**2 + 4.\nAnswer: 840*sqrt(3) + 3823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/66 and 5\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-225)\/(-117) + (-11)\/(-143). Solve -3*h = k + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*b**3*w**3 + 80*b**2*w**3 + 6*w**3 wrt b?\nAnswer: 756*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 3.03. Let p = 9 - 13. Let j = -3 + 7. What is the biggest value in o, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 310 + -305?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -54. Suppose 4*u + 3*y = l + 17, 4*u - y - 15 = 0. Suppose 0 = -u*x - 0*x + 635. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289583 is divided by 354?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)*-2 + 1. Suppose 0 = -a*t + 328 - 70. Suppose -5*i + t - 31 = 0. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.8, -2\/21, 50353, 0, 0.4 in ascending order.\nAnswer: -2\/21, 0, 0.4, 0.8, 5, 50353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26\/(-8))\/(6\/(-72)). Suppose -37*r + g*r = 0. Solve r = 7*k - 2*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*l = 4, 2*n + 2*l + 4 - 14 = 0. What is the third derivative of 7*c**2 + c**2 - 23*c**2 - 19*c**n - 7*c**2 wrt c?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 3, i: 5, e: 1}. Give prob of picking 2 h and 2 a.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -f + 12, -4*h + 17*f - 36 = 12*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 10050491.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 2. Let a be o(-2). Suppose 0*y - a*j = -2*y, 4*y = 2*j + 6. Let z = 13549 - 13548.5. What is the second smallest value in 2, 3\/7, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12402 and 31694.\nAnswer: 285246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 531.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -22.3\nAnswer: -2.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*r**2*u - 6*r + u + 915 wrt r.\nAnswer: 4*r*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 42 + 0 = 0. Suppose -11*p = -t*p. Solve -2*r + 0 + 2 = p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = r - 2*c, -1 + 6 = -r + 4*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*q + 20, 2*q - 7*q - 25 = p. Suppose -24*o - 7*o + 7192 = p. What is the highest common divisor of 174 and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 128*l + 2. Let n be c(1). Let s = 47 - 37. What is the highest common divisor of n and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*k = -5*a, k - 3*a + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 966, -5, 43, -2 in increasing order.\nAnswer: -5, -2, 43, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 990479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - 2 - 1 - 2*f)*(-115*f**3 - 122*f**3 + 70*f**3 - 229*f**3) to the form j*f + v*f**4 + l*f**3 + m + a*f**2 and give l.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 501017.7 - 501018. Let d = 5 + -2. Suppose -4*p - 5 - 11 = 0. What is the fourth smallest value in p, i, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 5:45 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + 76*g**2 + 114*g + 4483. What is b(-38)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r*t*z**3 - 3613*r*t + 324*r*z - 17*t*z**3 - 6*t*z**2 + 515*z**2 + 1 wrt r?\nAnswer: 2*t*z**3 - 3613*t + 324*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + s = 2*k + 8, -s + 1 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 + 7 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49133765*l**3 - 1566359*l**2 + l - 9?\nAnswer: 294802590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 715630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137763280.\nAnswer: 2, 5, 41, 97, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 3*g**2 + 18 - g**3 - 6 - 12*g**2. Let o be z(-11). Let m be (o\/(-10))\/(6\/(-20)). Solve p - 25 = -5*j, 3*j + 2 - 17 = m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -749?\nAnswer: -9\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*l - 47 - 49. Let x be (0\/1)\/((6 - -2)\/l). Solve x = -5*b + f - 18, -3*b - 5*f + 6 = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491 - 270 + o - 165 - 165.\nAnswer: o - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243067635 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -4, 0, -1 in decreasing order.\nAnswer: 19, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 65*m + 459. Let k be y(6). Put k, 2, -1, 1, 8 in decreasing order.\nAnswer: 8, 2, 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4\/4 - 1043*n**3\/2 - 1406169*n**2\/4 - 77645115*n - 229785525 = 0.\nAnswer: -943, -570, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20572287247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 13*i**2 + 1139*i + 260. What is c(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cijjzbiicjjjibibjz. What is prob of picking 2 z, 1 c, and 1 j?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n + 1. Let s be (-4)\/(-3) + (-8)\/(-12). Suppose 0 = d + 3*a - s, -1 = 4*d + a + 2. Let c be h(d). Calculate the greatest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126787240 by 31696810.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2509*o**5 - 3*o**4 - 72*o**2 + 54.\nAnswer: -150540*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22467.\nAnswer: 3, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 22*p - 11. What is k(25)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 340*u - 339.\nAnswer: -(u - 339)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -43. Solve -a + 8*a = d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 68.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + -b?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 2*l**3 - 2 - 8 + 13 - l**2 + 4*l. Let g(i) = i**2 - 4*i - 3. Let q(m) = 3*g(m) + 2*o(m). Determine z so that q(z) = 0.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111233200220 (base 4) in base 3?\nAnswer: -101201120102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 1 - 6*q**2 - q**3 + 6 - 8*q**2. Let s be b(-13). Suppose -n - 5*w - 322 = -s*n, 5*n - 382 = -4*w. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**3\/3 - i**2 - 2*i - 2. Suppose 0*r - 6 = 5*d + 4*r, 5*r = -2*d + 1. Calculate the lowest common multiple of 20 and c(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = 4*h. Let f be ((-126)\/(-15))\/(-3) + h + 2. Is f less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15829*o**4 - 15831*o**4 + 4*o - 19 + 2*o**3 - 2*o - o**2 as y + i*o**3 + w*o + m*o**4 + a*o**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(-3*sqrt(132) + sqrt(132)))\/(sqrt(132)\/(sqrt(44)\/(3*sqrt(4)))).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) -203\/16 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:27 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151973046?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-14)*o)\/o**(-14))\/(o*(o\/o**(-4\/5))\/o*o\/(o*o*o\/(o\/o**(1\/6))*o)*o))**(-2) assuming o is positive.\nAnswer: o**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1514, 1479, 1418, 1331, 1218, 1079, 914?\n\"Answer: -13*p**2 + 4*p + 1523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-71)\/(-8) - 20\/(-160) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 14)\/60 - (300\/216)\/(-5)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.10531 + 8.964\nAnswer: 8.85869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -7)\/(-3)*-2. Suppose -f*v + 4*a = -52, -v + 4 = 2*a - 3. Solve -3*k - 2 + v = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*c)*(-567 - 4509 - 4426 + 1015 + 595).\nAnswer: -15784*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 + a**3\/3 - 2*a**2 - 3*a. Is 11 a factor of j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-8 - -1) + (-244584)\/(-36) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -354 - -356. Put 0, l, -5 in ascending order.\nAnswer: -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/4 - 37*r**3\/18 - 14*r**2\/3 - 2*r + 545. Factor o(u).\nAnswer: -(u + 1)*(9*u + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i - 0*i - m, -5*m - 25 = -5*i. Suppose -4 - 10 = 3*d - i*t, 5*d + 5*t = 30. Factor 2\/3*v**d - 2\/9 - 4\/9*v.\nAnswer: 2*(v - 1)*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37587 or 9.52?\nAnswer: 37587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718949 is divided by 623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558 and 1639962?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15374608553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*x + 12 + 44, 2*x = -2*v - 26. Suppose 3*r - 2 - 16 = 0. What is the tens digit of v\/r*(-4 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1293\/(-2155))\/(3\/(-373475))?\nAnswer: 5, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4602264 by 4.\nAnswer: 1150566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffiawwwaffmwiff. Give prob of sequence am.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4. Let m be (t\/(-3))\/(6\/(-54)). What is the greatest common factor of m and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167709?\nAnswer: 3, 55903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13209*d**3*u + 14*d**3 - 2310*d**2*u + 2*d**2 - d*u - 197600*d + 1 wrt u.\nAnswer: -13209*d**3 - 2310*d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 8*d + 0 + 0*d**2 + 1\/4*d**4 + 0*d**3. Let u(p) = -2*p**2. Give u(s(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28182 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9417199 is divided by 941718?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.904 - -4. Let c = a + -0.096. Is 1.6 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -189*f + 212*f - 4*z, 5*f = 5*z + 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - 339\/15. Let u = n - -37. Suppose 240000 = u*h - 18*h. Round h to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*u = -485*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:38 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1728 + -5158\/3. Which is greater: 8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*j + 26*j - 9*j)*(-2*j**2 - 3*j + 3*j)*(4*j + 0*j - 3*j)*(-4 + j + 4).\nAnswer: -56*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -726380\/169 or -4298?\nAnswer: -4298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -203.9683 - 0.0317. Let h = -141 - t. Let s = 62 - h. Sort s, -2\/3, 0.08, 1.\nAnswer: s, -2\/3, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 6:45 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*17\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 196120909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) 5 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.273 * 0.096\nAnswer: 0.026208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296709.\nAnswer: 3, 7, 71, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 8. What is the tens digit of x(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 41 = -25. Let i = -459 + y. What is the tens digit of i\/(-9) + 4\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272690000 rounded to the nearest one million?\nAnswer: 273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15660445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -632.157 rounded to the nearest integer?\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 2052 = -54*a. Let f = -305 - -321. Calculate the least common multiple of a and f.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from wffwwwfwfwwffpw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428092?\nAnswer: 2, 7, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*l - 28, -v = v - 5*l - 8. Suppose -3*n - 15 = 4*c - v*c, -c = 3*n + 15. Solve c = u + 5*u + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -448?\nAnswer: 9\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (267 - 249) + 58*78\/(-252)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.058 - -0.068. Let q = -0.39 - j. Which is the closest to -4? (a) q (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -28*y - 509. Determine b(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n + 1. Let r be (10 - -8)\/9 + 4. Let h(s) = -246*s + 70. Let f(a) = r*q(a) - h(a). Differentiate f(j) wrt j.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006202001 rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 228052547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29.302 and 3343815?\nAnswer: 3343785.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2590172, 5180188, 7770204, 10360220?\n\"Answer: 2590016*y + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2366626261.\nAnswer: 919, 2575219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 2.2. Which is the nearest to -1? (a) -0.02 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1239 + 11107?\nAnswer: 12345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2233.868308 to one dp.\nAnswer: 2233.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-6)\/4*(6240\/432)\/(-13)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -0.4, 0.3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 + -123. Let l be p\/(-3 - 2) - -6. Solve -2*f - r = 6, -f = l*f - 5*r + 30 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 14011.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 42507062?\nAnswer: -42507076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-30)\/(-72))\/((-9)\/18).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let w(b) = b + 1. Let z(m) = 28*m + 21. Let k(x) = -21*w(x) + z(x). What is r(k(f))?\nAnswer: 49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times 0.09?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -19 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*z + 18*z - 1 - 7*z in the form x + j*z and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51604 and 8246?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-6)*3 - 1. Let r = w - 4. Suppose 26 = o + 2*k, 235*o = 237*o - 5*k - 16. What is the highest common divisor of r and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (21 - (10 + 7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662661298.\nAnswer: 2, 831330649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 31*m - 583. What is u(21)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24932844, 24932833, 24932822, 24932811, 24932800, 24932789?\n\"Answer: -11*u + 24932855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**3\/3 - 2*j**2 + 3*j - 3. Let a be n(-4). What is the highest common divisor of a and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0 - 20. Suppose -2 = -3*r + y. What is the derivative of r - 1 - 2*x + 3*x wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8002*d**2 - d + 661 wrt d?\nAnswer: 16004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221\/4 - -56. Let v(y) = 5*y**3 + y**2 - 1. Let f be v(-1). Let k = 5 - 2. Which is the closest to k? (a) o (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + s + 4. Let p be k(2). What is the closest to 0.1 in 5\/3, p, 29?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1)\/1 + 1. Let j = 5 - b. Solve -w = j - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1 - -2) + -158 + 165?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 354 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 - 31*c**2 + c + 1238. List the prime factors of t(-22).\nAnswer: 2, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 268020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0350229 rounded to 3 dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -7122.\nAnswer: 1\/7122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let d = 54 + -51. Let o(q) = -19*q - d*q**2 + 11*q + 9*q. What is o(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7441.985 centuries?\nAnswer: 8930382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at most 7640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1\/3, 1189 in increasing order.\nAnswer: -4\/5, -1\/3, 1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 342*((-5)\/(-2))\/5. Suppose -41*q = 16*q - d. Let c(m) = m**3 + 3*m**2 + m - 2. Let z be c(-2). Solve t - q = -2*o, z*t + 4*t = 4*o - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 399458248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 728521.6t in kilograms?\nAnswer: 728521600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 71?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 + 177. Suppose r*b = 343*b - 4800. Does 37 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -522551*n - 525909.\nAnswer: -522551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4817321?\nAnswer: 449, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04565 and -2457224.\nAnswer: -2457224.04565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 0*b**2 - 7*b**2 + 10*b**2 + b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/36 - 10800\/(-243). Let k be -2*1\/4*-86. Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -529644*p + 10735. Let o(d) = 11269*d - 226. Determine 95*o(u) + 2*s(u).\nAnswer: 11267*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -108, -110, -112?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*w**2 + 18\/17*w + 0.\nAnswer: -2*w*(w - 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 138, 207, 348, 585, 942, 1443, 2112?\nAnswer: 2973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 395, 728, 1061?\n\"Answer: 333*i + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -544?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 512528689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 161. Let y(h) = -h + 10. Let f be y(10). What is the hundreds digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 22*t**3 + t**2 + t - 1. Let m(o) = -23*o**3 - o**2 - 2*o + 2. Let q(d) = 3*m(d) + 4*v(d). What is the units digit of q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4825864?\nAnswer: 2, 41, 14713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j**2 - 5*j**2 - 3 - 4 + 3. Let z(q) = 6*q**2 - 5*q**2 + 0*q**2 + 0 - 1. Let s(t) = -o(t) + 4*z(t). Let w(b) = 35*b**2. What is w(s(h))?\nAnswer: 140*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*y + 103*y - 74*y in the form s*y + j and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3141772 - 0?\nAnswer: 3141772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139 (base 12) to base 8.\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:14 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -46*c - 4. Let p be j(-15). Let y = 488 - p. Let k = 333 + y. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*b - 26 = -b, -5*d + 6226*b = 6221*b - 1 - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 15 - (16 + -15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/5, -0.14, 0.3, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 127\/6 in -0.2, -7, -2, 0.1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -11. What is the nearest to f in -1, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m - 22. Let w be b(3). Solve 5*y + 5 = -5*p, 5*p = 5*y + w + 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 3. Suppose -2*w - 3 = -9. Let j(p) = p**3 - 3*p**2 + p - 1. Let s be j(w). Calculate r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/66*(-3 - -2)*12\/(-16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 + 387. Suppose s + c - 3*c - 6 = 0, -4*c - 24 = -5*s. Suppose s*v + 4*g - p = -v, -v + 30 = -2*g. Solve 4*k = -k - v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8599 + 5.8599. Let r = 1\/5 + 2\/15. What is the third smallest value in r, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153207075 divided by 47.\nAnswer: 3259725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/470 and 40\/47?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2)*(2 - (-28)\/(-10)). Let u = 267\/7 + -1651\/42. Let r = 2\/3 + u. Sort -5, 3, r, z in decreasing order.\nAnswer: 3, r, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1200974*x - 599997*x - 594908*x.\nAnswer: 6069*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18018, 36308, 54598?\nAnswer: 72888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 5:19 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 20*a + 23. Let x be y(21). Let l(n) = 4*n**2 + 2*n**2 + 47 - x*n - 46. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192053483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -35*s - 3. Calculate the remainder when m(-2) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -2061?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -23\/10*l**3 - l + 4761\/20*l**2 + 1\/120*l**4 - 15. Factor k(x).\nAnswer: (x - 69)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (0 + -25 - ((20 - 6) + -71))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/483891 and -85\/322594.\nAnswer: 967782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0*r + 0*r + r - 9 + 8. Calculate z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*n + 4*u, 2*u = 3*n - 2*n + 17. Let t = 32 + n. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - k - 1. Let q(t) = -13*t**2 + t + 1. Let r(p) = 3*n(p) + q(p). Let m be r(-2). What is the units digit of (12\/(-3))\/(-2) - m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - a**3 + a**3 + (2*a**2 - 3*a + 3*a)*(-5 + 2 - 4)*(2*a**2 + 0*a**2 + 0*a**2).\nAnswer: -29*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -6 + 27. Suppose 5*q - 28 = v. Let h be 4\/1 + (-3 - -2). Solve -q*a + h*a = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + n = -3*n, -4*t - 20 = 2*n. Let r be (14\/t)\/((-3)\/18). Solve -1 = 5*x - r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -3)\/(20\/(-108610)). Suppose 0 = -9*x + 7544 + v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37065.\nAnswer: 3, 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*p + 8, -5*p + 2*p - 59 = -5*t. Solve 30 = -t*q - 0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r**2 - 8*r + 3. Let s(v) = 23*v**2 + 12*v - 4. Let w(j) = -5*s(j) - 8*z(j). Let g(t) = t**2 + 1. Let p(x) = -4*g(x) + w(x). What is p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away 64209?\nAnswer: -64228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609693.4 millilitres in litres?\nAnswer: 609.6934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -202*g + 206*g - 19, -40 = -5*g - 2*u for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 2, z: 2, q: 2, s: 1, h: 3}. What is prob of sequence qs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/((-49)\/147).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6630.909 to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b + 72. Let o be f(-26). Calculate the remainder when (-15687)\/o - (-1)\/4 is divided by (-78)\/(-2) + -2 + 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-267*d - 19 + 5 + 14)*(-1 + 1 - 1) as w + r*d and give r.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -61. Suppose y*k - 82 = -4*n + 721, 3*k + 997 = 5*n. Determine v so that -132*v - 275*v**3 - 210*v**2 - 23 - 9 + n*v**3 + 8 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/7 of a week?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17435?\nAnswer: 5, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012333 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**3 + l**2 + l - 2. Let t be s(1). Suppose t - 18 = -4*b. Solve -a + 5*n - 15 = 0, 2*n = -2*a + 5*n - b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001075877 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -911*f**3 - 53*f**4 + 911*f**3 + (-f**3 + f - f)*(-f + 0 + 0) - 18 + 18 - 2*f**4 to the form a + u*f**4 + w*f**3 + t*f**2 + z*f and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-785)\/(-15) + (17\/3 - 6). Suppose -2*l + z + 4*z = -285, -2*z = -l + 140. What is the greatest common divisor of l and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/21)\/(1670\/(-4342)))\/(0 + -1)\nAnswer: -65\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -58940\nAnswer: 117880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150924262?\nAnswer: 2, 7591, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t - 1. Let s(h) = -8*h**3 - 3*h + 14. Let d be 3 + 20\/(-4) + 3. Let j(l) = d*s(l) + 3*z(l). Find the first derivative of j(p) wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109493?\nAnswer: 223, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullj. Give prob of picking 1 u and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose 6*k - 3*k - 6 = m. Is 20 a factor of (-30*k\/(-3))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 370? (a) 0.3 (b) 509 (c) 5 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255*i**5*u**3 - 29*i**2*u**2 + 2*i**2*u - 2*u**3 wrt i.\nAnswer: 15300*i**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.04, 0.1 in ascending order.\nAnswer: -0.04, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22815.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6))**(5\/4)\/(r*r\/r**(-1\/2)*r**(-2\/11)))**(-13) assuming r is positive.\nAnswer: r**(4901\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 460771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 4. Let t be v(-6). Suppose 2*x = 8, 14 = -h + 3*h + t*x. Solve -l + 0 = -h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i**2 - 40*i**2 - 396*i**3 + 792*i**3 - 397*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1\/75*u**6 - 1\/30*u**4 - 1\/50*u**5 + 0*u**2 + 0 - 15*u + 0*u**3 + 1\/105*u**7. Find k such that m(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-402)\/(-8))\/(-61*(-834)\/(-67832)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5430*x - 3975*x + 9403*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -b + 520, 5*d = 10*b - 6*b - 650. Let r = 251 + d. Calculate the remainder when r is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 - -626. What is the least common multiple of 7 and w?\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 15607?\nAnswer: -15614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Suppose -3*b - b + 8 = h. Differentiate 2 - b - 2*i**3 + 1 with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19770402991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 6*b - 3*b - 3*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(800)*2)\/sqrt(4).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9649689 is divided by 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 9*n + 374 = -7*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 487\/5. Put -3\/8, 6, 0.1, m in descending order.\nAnswer: 6, 0.1, -3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1989082\nAnswer: -9945410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63\/2 + 30. Let o = -386.1 - -87.2. Let k = -296 - o. Which is the third biggest value? (a) 0.2 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2554463 - 3?\nAnswer: 2554460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19815 - 3*c**3 + 39632 - 19817 - 2*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-245 - -256) + 1 + -14 - 28\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*l**3*z**4 + 134*l**3 - 183*l**2*z**4 - 13*l**2 - 4*l wrt z.\nAnswer: -64*l**3*z**3 - 732*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = 3. Suppose -w + 3*x + 8 = q, 4*x = -5*w + 73. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -722 - -721.82. What is the biggest value in 0.3, j, -0.1, 2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-21) - (-4)\/(-14). Let n(v) be the first derivative of v**4\/4 + 4*v**3\/3 - v**2 - 4*v + 3. Let h be n(-4). Sort -3, y, h in increasing order.\nAnswer: -3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 w when three letters picked without replacement from {x: 2, p: 3, u: 1, r: 5, a: 2, w: 7}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -1481, -63, -2 in ascending order.\nAnswer: -1481, -63, -6, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, r: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 - 86. Suppose 4*r = -20, w + 2*r = -u*r - 7. Suppose -5*z + z + 40 = 0. What is the lowest common multiple of w and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a8a (base 11) in base 12?\nAnswer: -163b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3375 divided by -332.\nAnswer: -3375\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 269 - 434. Let d be (-10)\/4*132\/k. Solve -x - l + 1 - 4 = 0, d*x - 3*l + 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 20. Let z be o(6). Let j be 2\/z - -3 - -7. Let x(p) = p**3 + p**2 - 5*p - 10. Is x(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1118599862 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 22*p = 8772. Let m = p + 2463. Is 77 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1397971.1913 + 1396857.9. Let m = -1124.29 - g. Let q = m - -11. Round q to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*b - 11423 = 11970 - 3443 - 3714 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 2*m - 28, 2*m + 28 = -i + 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -324 - 22?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.13, -0.2, -1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d - 4. Let u(j) = -j**2 + 4*j - 3. Determine 5*u(q) - 4*z(q).\nAnswer: -q**2 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108543861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 13. Let a(x) = -716*x + 45. Determine a(d) + 3*b(d).\nAnswer: -713*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 56.977. Let w = 5.123 - r. Let s = w + -7.1. Put s, 5, -0.3 in decreasing order.\nAnswer: 5, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000028399 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.15 or 1786?\nAnswer: 1786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*h + 1 = 3, -4*h = -l - 5. Is 2\/l - (-13 + (-728)\/6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529*w - 527*w = 3*n - 153952, w + 205276 = 4*n. Round n to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 288845.\nAnswer: 19\/288845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1865, 3728, 5591, 7454?\nAnswer: 9317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l - 88. Let i be f(10). Let d = i - 41. Let h(b) = -b**2 - 10*b + 11. Calculate h(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273.621509 rounded to 0 dps?\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-69)\/8*(-164)\/369) + (-3856)\/96\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10671 or 9760?\nAnswer: 10671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61629*a*f - 50*a + 4181842*f with respect to a.\nAnswer: -61629*f - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 7, 1\/6, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c - 8. What is f(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 58*z. Let n(t) = -16*t**2 + t + 1. Let b(m) = 742*m**2 - 42*m - 42. Let g(x) = -b(x) - 42*n(x). What is g(h(f))?\nAnswer: -235480*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 1. Let d(c) be the first derivative of c**2\/2 - c - 1. Let n = 7 + -2. Suppose 5*m = 10*m + n. Give m*f(q) + 3*d(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*m - 147992 = 26*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 12*n - 7. What are the prime factors of j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*s + 1439 = 0, b - 177*s + 178*s = 1435. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 42 = 12. Suppose k - 4*p = 78, p = o*p + 6. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2294*r + 87019. Determine i(-38).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3\/8, 3, 668.\nAnswer: -3\/8, -1\/4, 3, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*x - 1884 + 596, 4*i + 5*x = 5227. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.451974056 to three decimal places.\nAnswer: -0.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*b + 69426 = -73*b. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 11:01 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 61768.\nAnswer: 61768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:58 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1012022, 1012021, 1012020?\nAnswer: 1012019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4347 = -38*f - 445*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4477 (b) 0.005 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/34 + 6\/(-51). Let m(i) = -84*i - 6. Let p be m(w). Let v = p - -81. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3864230.\nAnswer: 2, 5, 23, 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y\/(y*y**(-2)*y*y)*y))\/y)\/(y\/y**(2\/9))*(y**(1\/2)\/y)\/y**(4\/5))**(-44) assuming y is positive.\nAnswer: y**(4114\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.9942 + -48. What is g rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11491 is divided by 1140?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1118202655 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 827*m - 1698*m + 835*m - 4 as b + o*m + i*m**2 + z*m**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101927 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 1, j: 1, n: 1, b: 2, v: 1}. What is prob of picking 1 d and 2 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/160 + p**4\/32 - 3*p**2 + 2*p. Let k(a) be the first derivative of g(a). Suppose k(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((-2)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*v + 20 = 0, v - 1 = 2*c + 4. Suppose -3*j + 15 + 6 = c. Let z = 26 + j. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1774 - 2*t**2 - 1774 - t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*i - 1739, -3*o + 5*i - 2845 = -8*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.19 - -0.2. Let d = c - 4.01. Let h(x) = -x**3 + 5*x**2 - 3*x + 15. Let w be h(5). Put w, -0.2, d in descending order.\nAnswer: w, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60115724?\nAnswer: 2, 29, 518239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-12)*o*o*o**(-9))**(6\/17)*o\/((o\/(o**(-1\/12)\/o))\/o)*o**4*o*o**(-2\/5)\/(o\/o**(-9)) assuming o is positive.\nAnswer: o**(-12073\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 1, g: 3, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10903*z - 5617. Is o(-60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 1160\/31?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/166872 and 89\/952.\nAnswer: 1168104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 2*o - 3. Suppose -21*t - 9*t - 60 = 0. Give m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396519377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -754 + 1?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m - 2*m**2 - 2 + 2 + 2*m**2 + (m + m**2 - m)*(2 + 0 + 0) + 2*m**2 - 2*m**2 + m**2 + m**2 - 4*m**2 - m**2 + 1419*m**2 - 70*m**2 + 1922*m**2.\nAnswer: 3270*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (7 - 9 - ((6 - 5) + 3)) + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37547 is divided by 807.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 399 (b) 3\/5 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -10 + (289 - -5 - 9) and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1363a (base 13) to base 2\nAnswer: -1000110101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 2 - -1) + 0. Suppose 4*t = 4*z + 296, 3*t - s*z - 78 = 2*t. What is the greatest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:47 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71571923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.678364ug in nanograms?\nAnswer: 678.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107553, 107555, 107557, 107559?\nAnswer: 107561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9006498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 3*d + 431. Factor -2\/3 - 2*v - 2*v**2 - 2\/3*v**d.\nAnswer: -2*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10901\/8 + 1364. What is the closest to -2 in i, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/639268 and -39\/68.\nAnswer: 639268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaq. Give prob of picking 2 q and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*j - 24. Let s(y) = -y**3 - 5*y**2 - 5*y - 4. Give s(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**7\/2520 + 2*q**5\/15 - 3*q**2. Let r(o) be the third derivative of v(o). Let g(w) = -w. Give r(g(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97993838009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7213172 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25631*z**3 - z**2 - 3382*z - 1?\nAnswer: -153786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1081 + 188. Is 85 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 2*m + 32. Put -2, -5, m in increasing order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*l**3 + 58*l**3 - l**4 + 2 + 2*l - l**4 as r + j*l**2 + g*l**3 + z*l**4 + i*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 2, -6.\nAnswer: -6, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1148, 1136, 1100, 1028, 908, 728, 476?\n\"Answer: -2*a**3 + 2*a + 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:43 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.17 (b) 42 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1338435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*o - 1 = -6*o, -4*o + 7 = 5*b. Suppose -3*m - b*a = -570, -4*a = -6*m + 3*m + 549. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*b = -332 - 1, 3*y - 5*b = 452. Let c = 905 - y. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*y + 46*y + 1 - 3 - 2120*y**2.\nAnswer: -2120*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3 + 7*k**2\/2 + 26*k - 27. Does 11 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:27 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532168?\nAnswer: 2, 7, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0476868 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 6:50 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - (-310 - 5)) + -1.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8128 (base 14) to base 15.\nAnswer: -8bbaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y - 6. Let c be o(5). Let n = 36 + -31. Suppose 3*a = -a - n*m + 22, -2*a = -3*m. Solve 3*q + 9 - a = 2*k, 0 = c*q - 3*k + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 14592*s**3 - 3*s**2 + 11*s - 9. What is the thousands digit of r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 2879*x**2 + 148237*x + 109560.\nAnswer: (x + 55)*(x + 664)*(4*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4341047755?\nAnswer: 5, 11, 37, 263, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-540)*-21*(-5)\/(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/10)\/(8\/(-220)). Suppose -m - 4*r + g = -3, 42 = 3*m + r. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 4932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1685781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s - 80*s = -48*s - 42 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 15. Let j be c(13). What is the highest common divisor of j and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {f: 2, o: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -123*x**3 - 3*x + 29. Let m(p) = -245*p**3 - 5*p + 58. Let b(z) = -3*m(z) + 5*u(z). What is the first derivative of b(s) wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 6:51 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 223 - 211. Suppose x - 3*h - 13 = 0, 8*x = v*x + h. Let m = -4.3 - -0.3. Which is the nearest to x? (a) -2\/13 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quqkqjquiqjiuqjqqjq. What is prob of sequence ku?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -488, -3, 3, -2.\nAnswer: -488, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b**2 - 1. Let a be o(2). Factor 0*n**3 - a*n**3 - n**2 - n**5 - 3*n**4 + 0*n**4.\nAnswer: -n**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 157*d + 1647030. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**3 - 4*o**2 - 4*o + 9. Suppose 5*i = -3*x + 40, 4*i = 5*x - i. Is l(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31, -60, -99, -154, -231, -336, -475, -654?\n\"Answer: -p**3 + p**2 - 25*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 906929 + -510693. Suppose 0 = -5*t - n - 763764. Round t to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 16*l**2 + 31*l - 354. Determine k(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10285 + 8547 = 13*t + 1867. Calculate the highest common divisor of t and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 3*w + 27, 0 = 5*q + 2*w - 24. Solve -4*l - q = -14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5129 - -2d?\nAnswer: -50fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*f = 93, -4*x - 2*f + 221 - 75 = 0. Let z = -40 - -58. What is the remainder when x is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 + f**4\/24 - 17*f**3\/6 + 5*f**2. Suppose 5*a = -3*w - 80, 2*w - 6*w + 16 = -a. What is the hundreds digit of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158131 by 1.\nAnswer: -158131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17841 and 362919?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -117, 2 in decreasing order.\nAnswer: 2, -24, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/480 - w**5\/120 + w**4\/32 + 122*w**2. Factor b(g).\nAnswer: -g*(g - 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*18\/30438*6*1\/6.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2428\/7 + -9229\/28. Let k be 1\/3 + 1182\/72. Let o = k - m. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-105)\/95) + 2\/(-6). Suppose 0 = 2*t - 4*k - 208, -y*t + 5*k + 416 = -2*t. Let n = t + -27. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i + 0 - 2 + 0 - 5*i**2 - i**3. Let n be j(-6). Let t be -3 + (-5 - (-3 - 7)). Calculate the greatest common divisor of t and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 12*l + 39. What is the tens digit of m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8646276 divided by -1?\nAnswer: 8646276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17755461 to four decimal places.\nAnswer: 0.1776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 496264421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 325478220 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25455, 24830, 24205, 23580, 22955?\n\"Answer: -625*z + 26080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppnnnnppnppppnpn. Give prob of picking 2 n and 1 p.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14555 - -21741. Let z(b) = 7*b - 7186 + 0*b + m. Let s(l) = 3*l**2 + l**2 - 2*l**2. Calculate z(s(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5491955*m**2 + 2*m - 292262 wrt m?\nAnswer: -10983910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9144 and 70704.\nAnswer: 8979408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4145 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28026\/684 - 41)\/((-51)\/(-12)). Let y = 0.9 - 1. Is o not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (76\/(-19) - -9)\/(1\/(-2)). Let v(k) = 2*k**2 + 20*k - 5. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u + 2. Let m(t) be the first derivative of -3*t**2 + t - 351. Suppose 11*j = 2*j - 36. Calculate j*d(p) + 5*m(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523991 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 4*h + h)*(0 + 0 + 2) - h - h + 0*h)*(-1 + 4 + 3).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/16128 and 157\/28385280.\nAnswer: 28385280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -244 - -263. Let l = 55 + -18. Calculate the remainder when l is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110*o**2*y**3 + 2*o**2 + 226*y**3 wrt o?\nAnswer: 220*o*y**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -9 (c) -3\/2 (d) 8\/457 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) + 9\/(-6). Solve -r - y - 13 = -3*r, h = 4*y + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 18.07. Let q = -4.47 - -4.7. Let d = q + n. Which is the nearest to -0.1? (a) d (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - 1 - (5 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29195868*n + 31*n**3 - 29195868*n.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.370557139 rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-5*d + 3*d + 0*d) + (-2 - 2*d + 2)*(18 - 23 - 31).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 643301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -1\/27, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 - 2*w + 1. Let d be y(-4). Let r = -129 + 87. Let n = r + d. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.97, -1, 5, -1\/3, 183, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(4 + sqrt(567)*-5).\nAnswer: -270*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -33*p**2 + 2*p. Let q(j) = -185*j**2 + 15*j - 24. Determine -6*i(h) + q(h).\nAnswer: 13*h**2 + 3*h - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 2. Let m be i(5). Suppose -w + 2*w = m. Let f be -10*((-1)\/(-2) - 1). Solve f*x - 8 = w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15669883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**3 - 4*h - 5. Let x(w) = -30*w**3 + 32*w + 40. Let o(t) = 46*t**3 - 47*t - 59. Let s(b) = 5*o(b) + 7*x(b). Calculate -11*l(p) + 4*s(p).\nAnswer: 3*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:26 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1455 - -1454.949936. Let f = -0.05 - c. Round f to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -11. Let x be 3 - ((-62)\/(-22) + 0). Sort o, x, -5 in increasing order.\nAnswer: -5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7808 - 16*a**2 + 7808 + 32*a**2.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -w + 9, -4*c + 0*w + 2*w + 14 = 0. Let v(g) = 9*g + 52. Let o be v(19). Let y = 667\/3 - o. What is the fourth biggest value in -0.2, c, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/3)*k)\/(k*k*k**8*k*k*k)*k**(5\/4)*k**(-10)\/k)**(2\/5))**(-2\/93) assuming k is positive.\nAnswer: k**(257\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -63 (c) -2 (d) -2\/9 (e) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -121 and 350.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8489 is divided by 2109.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20)\/sqrt(4)*1 + 4*(sqrt(405))**2.\nAnswer: sqrt(5) + 1618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26029464 and 12888.\nAnswer: 78088392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53961?\nAnswer: 3, 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -40*y + 12. Is 32 a factor of i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316814212 a multiple of 538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 - 89 = -s + 4*z, 0 = 4*z - 4. Suppose -2*g + s = -2*v, -4*g = 5*v - 282 - 208. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:32 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7568 = 45*a + 1016 - 4518. What is the remainder when a is divided by 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545.2547 millennia to years.\nAnswer: 545254.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.806032211 rounded to 3 dps?\nAnswer: 26.806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 4*a. What is the units digit of y(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 4*p**3 + 0*p**3 + (7 - 7 + 4*p**2)*(-p - 2*p + 4*p + 5).\nAnswer: 7*p**3 + 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5 - 1\/5*w**2 - 6\/5*w.\nAnswer: -(w - 2)*(w + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.7. Suppose 0 = -2*d + 8, c = -c - 5*d + 24. Put c, 0.5, g in ascending order.\nAnswer: g, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2104*k - 2114*k + 110 = 0. What is the least common multiple of k and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n - 49*n = 32. Let r = 68.9 - 69. Which is the closest to 0? (a) r (b) n (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8917.\nAnswer: 37, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/(-9) + (-2)\/3. Suppose -3*b + 0*t + t - 2 = 0, -2*t - 2 = 0. Let r = b - x. 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 -10*t = 23 + 37. Let z(j) = -j**2 - 6*j + 1. Give z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2)*2)\/(8\/(-152)*1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*j**3 + 676*j**3 + 7*j**2 - 22*j**3.\nAnswer: 743*j**3 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:23 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 2 + 5 + (sqrt(19) - (sqrt(19) + (sqrt(19) - sqrt(171)*-1)))**2 + 2*((sqrt(2736) - (sqrt(2736) + 0)) + sqrt(2736)).\nAnswer: 25*sqrt(19) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 2. Let d(p) = -10*p - 3. Let h(w) = 7*w + 3. Let j(o) = -o - 1. Let i(u) = h(u) + j(u). Let c(m) = 5*d(m) + 8*i(m). What is 9*c(t) + 4*q(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 12.16. Let z = 12.1 - b. What is the third smallest value in 3, z, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**3\/3 - 3*i**2 - 1. Let p be z(-6). Let r be (4\/5)\/(8\/20). Solve r*f + 3*f = p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:51 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*y - 5*p, -y + 4*p - 2*p = -4. Suppose 3*j + 332 = 7*j - x, -5*j = -y*x - 418. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28 + 7)\/21 + 104731 + 1*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + p = -10, -2*p + 2 = 2*j + 3*j. Solve -6*c + 5 = 5*q - 9*c, -2*q - 4*c + j = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -109*f**3 - 12*f**2 + 8*f + 1. What is i(1)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:35 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10267 (base 9) to base 3.\nAnswer: 100022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/50 + (-46)\/(-10). Suppose -2*c + 24 = 2*f, -14 = -v*c + 4*f + 10. Solve -t - 2*m = -3, -4*t + 2*m = -0*m + c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9.5, 3, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -s + 2*s - 2, 2*s = -4*h + 32. Let r be 333\/s + 1\/4. Does 6 divide (-18)\/(-7)*r\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 324045441227.\nAnswer: 324045441227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q = 36*q - 3740442. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779499503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.9 - -0.1. Let q = u - 2. Let n be (-2)\/12 - 7\/(-15). What is the second biggest value in -2, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 18*h + 1. Calculate l(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 2324 - 1364 = 0. Sort 6, 12, v in decreasing order.\nAnswer: v, 12, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4 + 11 = 4*d, -5*g + d - 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 4*v. What is the tens digit of (v + 0)*(-23)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.7 - 59.3. Let z = -110 - r. What is the fourth smallest value in -0.021, -5, -0.3, z?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 4*t - 2. Let h be k(3). Solve 6 - h = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 291854768 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 8\/25, 1991776?\nAnswer: 1991776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -246 + 249. What is the second biggest value in -1\/3, -5\/23, z?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 65386580*h - 1068851211024100.\nAnswer: -(h - 32693290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = 4*o, 117*o - 112*o = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*o + 10 = 0, -3*m - 594*o + 590*o - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (3 + (12 - 5) + -28).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 13. Let m be i(-9). Put 0, -1, m in decreasing order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = q. Suppose -2*h + 2 = -q. Suppose -4*n + h*y = -50, -2*n - 8*y + 3*y = -19. Solve -5*w + n = -s, 4*w + 15 = s + 8*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 1444 = 0. Let x = c - 1455\/4. Find the common denominator of x and (-3)\/(-16)*(4 - -22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 2*n**2 - 4*n - 3. Let d be a(-2). Suppose 2*b - 10 - 14 = 0. Suppose 2*v = d*v - b. Calculate the lowest common multiple of v and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/3*((-4)\/(-8) + -2). Suppose 0 = -t - 3*v + 9, t - 2*v = v - 3. Suppose -t*w = w - 52. Calculate the greatest common factor of w and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 74\/45, -10, -5, 5, -4, 54, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - l + 7 - 5)*(3 + l**2 - 3)*(-7*l**2 + 18*l**2 + l**2).\nAnswer: -12*l**5 - 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Let y = c - -3. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + -2 + (18 - -301). Let r = -321 + o. Let z(j) = 1 - 2 - 2 + j. Determine z(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -306, -309, -324, -357, -414, -501?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g - 90*g - 11037 = 9*g + 117*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 15*g + 14. Let n be x(-14). Calculate the highest common factor of 70 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from iimiypiiqpppyiipi.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819485 is divided by 1500.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/21)\/(4\/(-7)). Let k = -20 - -22. Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y - 2525\/3*y**4 + 0 + 0*y**3 - 29*y**2. Let r be z(2). What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 13. Let a be j(7). Suppose 2*o - 5*o = -a. Solve -90 - 184*x**o - 50*x**4 - 29*x**2 + 285*x + 190*x**3 + 5*x**5 - 127*x**2 = 0 for x.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, -66, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -11) + -5 + 1. Let x be 2\/v + (-20)\/(-15) - -3. Suppose 4*f = x*a - 124 - 92, 2*f = 2*a - 88. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5961 + 5962. Which is the second smallest value? (a) -2 (b) g (c) -867\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12*i**3 + i**2 - i - 1. Give b(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q + 20*q + 23*q + 24*q + 30*q - 120*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t + 116. Calculate j(13).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -75, 3, -4.8, 2?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (16\/(-20))\/((-2)\/35). Suppose t*m - 9*m - 112 = 0. Let g(r) = r**3 - 11*r**2 - 24*r + 31. Let s be g(13). Is m not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - 6*w**2 + w**2)*(1 + 3 - 1) to the form x*w + r*w**2 + n and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(9\/(-27) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4064454 by 3.\nAnswer: -1354818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1151*u**3 + 4*u**2 - 266089*u?\nAnswer: -6906*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 5:08 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308827.26387 + -308825. Let k = x - 1.21454. Let z = 1.05 - k. Round z to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/7 - 22628*p**2\/7 + 22625*p\/7 + 45254\/7 = 0. Calculate p.\nAnswer: -1, 2, 22627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43 - ((-32)\/(-4) + -17 - -7). Calculate the greatest common factor of 366 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*k - 9, 5*p + 5*k = -4 - 6. Suppose p = -q - 4, 3*q = 4*u - 31. Determine z, given that -2*z - 2*z**4 - 4*z**2 - u*z**3 - 2\/5*z**5 - 2\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1164195173 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3037860, -6075720, -9113580?\n\"Answer: -3037860*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227360 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 7, r: 4, p: 7}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w + 2*v = 22, -5*v = -3*w - 37. Let r(x) = -2*x**2 - 11*x - 2. Calculate the smallest common multiple of 21 and r(w).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31579405 is divided by 306596?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0*t**5 + 1\/672*t**8 + 0*t**3 + 0 + 3*t**2 + 0*t + 0*t**4 + 0*t**6 - 1\/420*t**7. Factor y(x).\nAnswer: x**4*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 76*x**2 + 76*x + 72. Let w be z(-75). What is the third biggest value in -5, -4\/7, w, 0.9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2525600 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29441 + -21210. Calculate the remainder when s is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 82*g + 20. Let u(i) = -27*i - 7. Let l(t) = -3*p(t) - 10*u(t). Let r(s) = 778*s - 783*s - 769 + 767. What is -3*l(z) - 14*r(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/(-36)*222\/(-37).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + 6a8?\nAnswer: 6b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-4))\/((-5)\/100). Suppose n = 2*g + 8, 2*n - p*g = -2*n + 35. Suppose 5*k = 5*h - n, -3*h + k - 2*k = -6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(7) + 1 - sqrt(70)\/(sqrt(30)\/sqrt(3))) + sqrt(28)*6 + -3)**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9 and -63\/106.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -290830 * -0.2\nAnswer: 58166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.08, 157011.\nAnswer: -2\/9, -0.08, 157011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5207, -6500, -10085, -17132, -28811?\nAnswer: -46292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -28, -58, -88, -112, -124, -118, -88?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 64*q**3 + 8*q**2 - 34*q. Let t(a) = 70*a**3 + 7*a**2 - 33*a. What is -8*t(x) + 7*u(x)?\nAnswer: -112*x**3 + 26*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 7, 69?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13899\/1017 + 2*2\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.4 greater than or equal to 138643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2520 by -360.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29125140 divided by 33.\nAnswer: 882580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*r - 2)*(6*r - r - 4*r) + r**2 - 4*r**2 + 4*r**2 + 0*r - r**2 + 0*r)*(-4*r**2 + 5*r**2 + 0*r**2).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1)*(68\/24 + -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:17 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3953974, 3953976, 3953978, 3953980?\n\"Answer: 2*w + 3953972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1195827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(84) + (2*sqrt(84)*-5 - sqrt(84)) + sqrt(84) + sqrt(84))\/((sqrt(24) + sqrt(96)\/sqrt(4) - sqrt(24))\/sqrt(2)) + -5 + -1)**2.\nAnswer: 144*sqrt(7) + 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b + 12*b + 99 = 0. Solve 0 = -2*a + b*l + 13, -2*a - l + 3 = -2*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1aa (base 12) in base 4?\nAnswer: 10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -q + 64, 378 = 5*q - 5*i + 78. Let b be ((-230)\/4 + 2)*-2. Let u = b + -79. What is the remainder when q is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**3 - 65*d**2 - 109*d - 51.\nAnswer: -(d + 1)**2*(7*d + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 57 = -r, 2*z + 9082*r = 9055*r + 45 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/8999783 and 23\/527.\nAnswer: 278993273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 35*y**4\/12 + 782*y - 1. Let r(z) = 6*z**2. Calculate i(r(j)).\nAnswer: 1260*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, -2, -107 in ascending order.\nAnswer: -107, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1484 + 4913. Calculate the greatest common divisor of 108 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qarrrrrrrcqa. Give prob of sequence qc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/7 - 124*r + 870\/7 = 0?\nAnswer: -435, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 6 = 0. Let t(s) be the third derivative of 0*s + s**q - 1\/24*s**4 - 1\/240*s**5 - 1\/6*s**3 + 0. Let t(z) = 0. Calculate z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67656 + 132869. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14317 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 + 267.745. Let b = y + -0.075. Round b to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 14*s**2 - s - 2. Determine w(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 14. Let f(i) = -8*i + 26. Let k(t) = 2*f(t) + 5*x(t). Give k(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1018061 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 16*r - 5*r. Let w(u) = 3*u. Give j(w(d)).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1420030.71 and 657565.\nAnswer: -762465.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185103 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (1260\/(-9) + 74).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 29326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027087362 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -30. Let w = 2 + d. What is the remainder when 48 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 3}. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/3 (b) 39.448 (c) 1\/4 (d) -3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - -3) + 4 - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + c = 1, -5*v = c + 3*c - 17. Let t be 6\/3 + v + -1. Let z be (-1 + t)*5 + -1. What is the second smallest value in z, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2809 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68999.56 and -0.02.\nAnswer: -1379.9912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60112)\/238)\/(-17)*3\/((-36)\/(-42)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.1 - 42. What is the closest to r in -4, 3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 1. Let v(w) = 6*w - 1. Let d be (-3)\/2 - (-66)\/12. Suppose 2*m = d*m. Suppose 3*f + 25 = 5*t, -2*t + f + 10 = -m*f. Calculate t*l(o) - 6*v(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**7\/70 + s**3\/6 - 3*s**2\/2 + 3*s. Let o(k) be the first derivative of u(k). Find the first derivative of o(i) wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-172)\/60 + 1 - -2)*-5. Let p = 7.05 + 0.95. What is the third smallest value in s, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/143, 3, -3, -5, -1\/4, -0.3 in descending order.\nAnswer: 3, 2\/143, -1\/4, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 45977912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 - 5*y**2 + 2*y + 3. Let u(m) = -5*m**3 + 6*m**2 - 2*m - 4. Let b be 10\/(-45) + 3 + 160\/72. Give b*u(g) + 6*j(g).\nAnswer: -g**3 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.49531 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or 4731541?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -769\/3480493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 105, 0, -2 in descending order.\nAnswer: 105, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1631 + 1633. Solve -4*a + t*h + 0*h - 18 = 0, 4*h = -a + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g - 12. Let c be (-2 + 2)*7\/14. Let o = c + -7. What are the prime factors of d(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*v - 4*j = -85*v - 28, 25 = 5*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 179? (a) -35 (b) -2 (c) -2\/5 (d) 0 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23577 is divided by 374.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:08 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187 - -188. What is the closest to 5 in 0.3, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 11. Suppose 4*j - 24 = -4. Suppose -3*c - q + 2*q + 20 = 0, n*c = -j*q + 40. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*q - 457*q = -908*q + g, 4*g - 3 = -6*q - 0*g - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 146279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110066 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - d**2 + 6*d**3 - 2*d**3 + 1 - 2*d**3 as p + z*d**2 + j*d**3 + s*d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.371 - -2.571. Let v = -1.05 + 0.05. What is the biggest value in 9, y, v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 - 143*a**2 + 60*a + 105. Let z be h(-29). Solve z*m + 48 = 23*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76463 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493.9454 times 0.5?\nAnswer: 246.9727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 5 - (-360)\/(-64) - (-39)\/24. Solve -2*z - 5*n + 18 = 2*z, 4*z - 3*n - w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -8*w + 9. Suppose 2*u + 3*b + 14 = w*u, -2*u - 2*b = 4. Solve p - 6 = 2*i, 5*p - 3*i = -7 + u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + (10 - (-1 + 3)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537354, 537330, 537306, 537282, 537258?\nAnswer: 537234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (-35 + -55 + 58).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/20 + j**4\/4 - j**3\/6 - j**2\/2 - 8*j. Give y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.8162 + -0.8162. What is the third biggest value in -1, 1, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 <= -1781550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -164, -323, -486, -659, -848, -1059, -1298, -1571?\n\"Answer: -h**3 + 4*h**2 - 164*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38987*v**2 + 38930*v**2 - 116852*v**2 + 38924*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -22 (c) 0.2 (d) -0.01 (e) -4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-8)*((-6)\/14)\/((-9108)\/(-7084))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in 2, -1, -4.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:53 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.086 - -5.086. What is the nearest to g in 2\/5, 0.0478, -5?\nAnswer: 0.0478","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560*a - 545*a + 1106*a - 28 + 29.\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 7258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188 - -370. Let t = j - 117. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + -1.15.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*b**2*f**3*t + 14*b**2*f**2*t + b*f**3*t - 3*b + f**2*t + 5*f**2 wrt f.\nAnswer: 864*b**2*t + 6*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + 21*r**2 + 2*r - 79. Calculate i(10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-433*k + 599 - 599)*(0 + k + 0 + (k + k - 3*k)*(1 - 2 + 3)).\nAnswer: 433*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/9, -47, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504868 is divided by 501580.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 13*q = 0. Suppose -g = -5 + 3. Find the first derivative of -3*o + 3*o - 6*o**g + q*o**2 + 7 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4 + 45110*q**3 - 4*q**2 + 5*q + 12055 wrt q?\nAnswer: 48*q + 270660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 45, 50, 55, 60?\n\"Answer: 5*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 21*c - 5. Let t be p(-10). Solve -5*h - 15 = t*n, -4*h + 1 = -5*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*v + 34*v + 27*v + (-v + 2*v - 2*v)*(-4 + 2 + 4) + 2*v + 3*v - 4*v + (2*v + 0 + 0)*(3 - 1 - 3) as i + k*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4 - 3*h**2 + 295*h**3 - 294*h**3 + 6*h - 3*h + 2*h. Determine b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/9))\/p**(-4)*(p**0*p)**(4\/37)*p\/p**(-2\/15)*p**(-2\/13)*(p**(-1\/2)*p)\/(p*p\/(p*p\/p**(1\/3))) assuming p is positive.\nAnswer: p**(280367\/43290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/k*k**(1\/2)*(k*k**(1\/2))**(7\/8) assuming k is positive.\nAnswer: k**(-19\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/60 + 11*a**4\/24 + a**2. Let l be c(8). What is the units digit of (3\/(-9))\/((-2)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18588895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001101010100100 (base 2) to base 8.\nAnswer: -1315244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-417)\/(-1290)*-2 + (-1677)\/(-2795)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152305 by -415.\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.434364um?\nAnswer: 0.009434364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1710, -1693, -1676, -1659?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14805 - 11495 = -40*i - 10*i. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -12232?\nAnswer: -12133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*o**3*w - 280*o*w - 44*o - 2490055*w - 2 with respect to o.\nAnswer: 54*o**2*w - 280*w - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9452, 18926, 28400, 37874?\n\"Answer: 9474*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4064488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igifvfvvvffffgffffi. Give prob of picking 1 f and 1 i.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 43*l**3 + l**2 + 5*l + 4. Calculate f(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 24. Suppose -4*s - 2*c + 14 = -2*s, -3*s + 42 = -4*c. What is the units digit of u(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) -2\/137 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 34*r**3 + 5*r**2 - 5*r + 36. Let n(x) = -18*x**3 - 2*x**2 + 2*x - 17. Let f(a) = 5*n(a) + 2*s(a). Find the first derivative of f(q) wrt q.\nAnswer: -66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 9*y + 1. Let i be z(-7). Let o be 3\/i*(-80)\/24. Let v = -136\/143 + o. Which is the nearest to 0? (a) -0.4 (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)\/(2 - 10\/15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 13*i**2 - 17 + i + 17. Let s be o(2). Let j be (-30)\/9*s\/15. Let h(z) = z. Let w(f) = -10*f - 2. What is j*h(b) - w(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnnhfnnznlz. What is prob of picking 1 l and 2 z?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c. Let y(m) = -35*m**2 - 410364. Give n(y(s)).\nAnswer: 140*s**2 + 1641456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157.101 - 157. Let p = -101.101 + v. Let i = p - -100.99842. Round i to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(1638\/(-1168)) + -15)*18.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18*(-18)\/(-16))\/((-7)\/(-28)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 4*w + 5. Suppose 5*j - 52 = -3*m, -5*j = 3*m - m - 53. Calculate the remainder when o(-4) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/4 - i**3\/3 - 3*i**2\/2 + i. Suppose 12*t = 11*t - 2. Let r(k) = 4*k**2 - 3*k - 4. What is t*r(n) + 3*s(n)?\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b**2 + 68*b**2 + 5*b**3 - 32*b**2 - 32*b**3 wrt b?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + -0.26. Let p = -0.7 + 0.9. Let z = f + p. Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 4361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*f - 16 - 94*f + 189 with respect to f.\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-494)*(-1)\/(-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5174 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -7. Let f(l) be the second derivative of -5*l**3\/3 + 3*l**2\/2 - 3*l. Does 42 divide f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, -43, -110, -197?\n\"Answer: -10*u**2 - 17*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + 9. Suppose -4*t = o - u, -5*o + 0*o + 609 = 4*t. Suppose 0*p - 36 = -3*v + 3*p, -p + 32 = 3*v. Calculate the highest common divisor of v and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304014?\nAnswer: 2, 3, 23, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Let t be s(5). Suppose q - 2 = t*r, 0 = 2*q + r - 8 - 1. Suppose 0*x - 652 = -q*x. List the prime factors of x.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Suppose -4*m + 5*j - 158 = 0, -m - j - 31 = 2*j. Let n = x - m. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27292 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-1 - -1))*-1. Let j(w) be the second derivative of -w**5\/20 - 5*w**4\/12 + 2*w**2 - 2*w. Determine j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -2*x**5\/15 - x**4\/12 - 2*x**2. Factor z(d).\nAnswer: -2*d*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p = 4*p - 236*p - 130*p - 9632 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 35*q + 52 - 37*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 81, 4, 13 in descending order.\nAnswer: 81, 13, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -c + r - 123, -5*c = r - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**16*h))\/h*h**44)**46)**36 assuming h is positive.\nAnswer: h**44712","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 3*p + 11 = l, 4*p - 24 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/27 (b) 0.2 (c) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d**3\/2 + 21*d. Let j(g) = -6*g**2 - 5*g. Let r(t) = t**2 + t. Let l(y) = -j(y) - 5*r(y). Calculate l(m(u)).\nAnswer: 225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:16 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 5*a + (1 - 1 + 1)*(2*a - 3*a - a) + 100*a + 108*a + 62 - 210*a + 333 in the form o*a + x and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.47 - 44.53. Let r = c + 45.011. Let h = -0.01079 + r. Round h to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17441482391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 2*d - 2*d)*(-2 + d + 2)*(-2*d + 6*d - 3*d)*(-2 + 5 - 2) + 2178*d**3 - 710*d**5 - 2178*d**3 + (0*d**4 - d**4 - d**4)*(d + 0 + 0).\nAnswer: -713*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 + 107*f - 239. Calculate the remainder when v(-30) is divided by 6086\/153 - (-2)\/9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -568. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -2*g**2 - 2. Let q(d) = -8*d. Let j(k) = -k. Let r(z) = 6*j(z) - q(z). What is i(r(t))?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 10:08 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6)*0)\/(0 - 2). Which is smaller: 6\/37 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysyzysyzyyny. Give prob of picking 4 y.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*h - 11 = 0, -a + 2*h + h - 12 = 0. Solve -a = -2*n + 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.715 + 0.125. Let l = -9.41 + d. Let s = -1 + 2. Sort 1\/9, l, s.\nAnswer: l, 1\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279012299*p + 10456110 wrt p.\nAnswer: 279012299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1836 + 1845. Solve -13 = -r*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -5\/24*l**4 - 1\/3*l**3 + 0*l + 1\/10*l**5 - 2*l**2 + 0. Is s(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 81244*l + 7119. Is h(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*g + 1256 = 1206 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -39 + 16 + 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326023970 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2592? (a) 4 (b) 2\/147 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + o + 17841 - 2*o + 5*o - 17846.\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -229 + 201. Let p(b) = -2*b - 54. Let f be p(a). Solve 16\/3*w - 4\/9*w**f - 16 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - -4) - (-17 + 19 + 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/4 + -9 + (-7511)\/(-525). Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let t(l) = -6474*l**2 - 3*l + 569. Calculate x(t(q)).\nAnswer: -12948*q**2 - 6*q + 1138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 38 = -4*j, -2*p + 18 = -2*j + 3*j. Let q = p - 6. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 3*r + 3*k - 96, -3*k = -15. Let u be 2 + r - (2 + -1). Suppose -u = -3*y + y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 5*z**2 + 4*z - 1. Let a be d(-4). List the prime factors of (-1 - -3) + a + 18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 3 + 1 - 1 + 2*w. Calculate m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*g**3 + 163*g**3 - 533*g**3 + 119*g**3 + 121*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 at least -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*u**2 + 1 + (-u + 0*u + 3*u)*(0 + 0 + u) - u**2 - 3 + 3 + 6*u**2 - 5*u + 5*u to v + j*u + s*u**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 200*c - 1049. Calculate z(-11).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 10 - 2*x)*(2 - 1 + 2).\nAnswer: -6*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g - 113 = 222. Suppose 12 = -4*z, 4*z - 36 = -g*p + 42. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 195.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-56) + 2\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31458 divided by -5678\nAnswer: 15729\/2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 + 7 = -y, 18 = 2*o + 2*y. Suppose b = o*j + 2*b - 1574996, 0 = b + 4. What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 3*h + 1. Let q(w) = 11*w**2 + 3*w + 25. Let g(x) = -5*b(x) + q(x). What is g(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:25 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 greater than 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 2*y**2 - 1. Let j(m) = -530*m**3 - 17720*m**2 - 142400*m - 2535. Let i(o) = -j(o) - 25*k(o). Factor i(h).\nAnswer: 5*(h + 16)**2*(111*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1554 and 514559.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-3\/4)*d)*d)\/d*d)\/d*d**(-6)*(((d**9\/d)\/d)\/d)\/(d\/(d\/(d\/(d*((d**(-2\/39)*d*d)\/d*d)\/d*d)))) assuming d is positive.\nAnswer: d**(265\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 20 + -19 + -3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 5*u - 3. Let t be x(6). Let k(w) = -64*w. Let r be k(t). Let o = -73 - r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.12 (c) 1.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (164\/(-2214))\/(2\/6 + 3)\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5\/4 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 20*u + 6. Let k be x(-20). Calculate the greatest common divisor of k and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 6*c - 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 y(k) = k**3 + 5*k**2 - 5*k + 2. Let p be y(-6). Let n be -2 + (-3 - p)*-1. Let j(l) = -l**2 - 10*l + 16. Let m be j(-11). Sort 4, m, n in decreasing order.\nAnswer: m, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 0.5, 0, 0.39 in decreasing order.\nAnswer: 0.5, 0.39, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/5 + 431*d**3\/5 - 2623*d**2\/5 - 431*d\/5 + 2622\/5 = 0. What is d?\nAnswer: -437, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 5. Let p be l(6). Let s be p\/15 - 2\/(-3). Suppose 5*b = -4*d + 163, 4*d = -s*b - 0*b + 173. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 250\/(4 + -3) - (1 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**2 + 83*z - 844. Determine s(7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d - 9 - 5*d + 8*d wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 - 1 + 3*y**3 - y**2 + 17*y - 28*y - 4*y**3 + 13*y as z*y + h + f*y**2 + q*y**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651800.9518 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(3\/10)*o))**(-2\/31)\/((o\/(o\/(o\/(o\/((o*o**(-14\/9)*o)\/o)*o)))*o*o)\/o**(2\/17)) assuming o is positive.\nAnswer: o**(-7291\/23715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 11\/2 (c) 608\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*s = -18, 10185*y - 10180*y = 3*s + 90 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270882 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - m + 1. Let y(r) = r**3 + 17*r**2 - 17*r - 6. Let i(g) = y(g) - 5*z(g). Determine i(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 73. Let y(q) be the second derivative of 1\/4*q**4 + 0 + 3*q + a*q**2 + 0*q**3. Let i(o) = -o**2. Give y(i(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 2 + 10*w + w**2 + 2 - 3. Let l be (-4 - -2) + 3*4. Let u be y(l). Sort u, 5, 0 in decreasing order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.541953 rounded to 2 dps?\nAnswer: 30.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 239 = -4*k + k + 3*u, 0*k = 2*k - 4*u - 90 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 4*d**2 - 7*d**2 + (2 + 0 - 1)*(3 - 3 - 2*d**2))*(-581 + 413 + 339 + (-2 + 4 + 0)*(-1 - 2 + 2)).\nAnswer: -507*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 469 + -477. Which is the smallest value? (a) v (b) 1\/9 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3909 and 92028284.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17*v**2 - 12*v - 12. What is q(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4878, -9748, -14618, -19488, -24358?\nAnswer: -29228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 108 + 110. Is (j - -626)*((-108)\/(-16) - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(-2 + (sqrt(192) - (0 + sqrt(192))) + (2 + -1*sqrt(192) + sqrt(192))**2 + ((sqrt(192) - -3*(-2 + sqrt(192))) + -4)**2).\nAnswer: -3200*sqrt(3) + 15870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, 0.04, 1\/5, -23, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:44 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z - 280. Let l(c) = -6*c + 552. What is 2*l(w) + 5*r(w)?\nAnswer: 3*w - 296","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1911)*-1 + (sqrt(117)\/(sqrt(3)*-4) - sqrt(39)))\/(-3*-1*(sqrt(108) - sqrt(108)*-1)).\nAnswer: -11*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*n**3 + 22*n**3 + 63*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -11017?\nAnswer: 22034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*c + 2271077 + 15988935, -3*c - 27389992 = -2*w. What is c rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -34\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97367197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(165)\/(((-1*sqrt(77) - sqrt(77)) + sqrt(77))\/sqrt(7)))\/(6*(sqrt(2000) + 2*sqrt(2000)) + sqrt(2000)).\nAnswer: -sqrt(3)\/380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77163839, -77163841, -77163843?\n\"Answer: -2*d - 77163837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(60)\/sqrt(4) - -5*sqrt(540)*2)\/((sqrt(360)\/(sqrt(36)\/sqrt(3)))\/sqrt(10) - (sqrt(336)*-1)\/sqrt(7)))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-4)*-13 + 3*325\/(-75). Suppose -3\/2*r**4 + 18*r + 34*r**2 + 19\/2*r**3 + z = 0. Calculate r.\nAnswer: -2, -2\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-4 - -1)) + 1 - 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. Let w(v) = -20*v**3 - 9*v**2 - 35*v - 23. Let y(l) = 7*l**3 + 3*l**2 + 12*l + 8. Let i(g) = 6*w(g) + 17*y(g). Is i(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97*f + 2*f**3 + 40*f**2 - 4*f**3 - 62*f**2 + 7*f**3 + 42.\nAnswer: (f - 7)*(f + 3)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqkkhkqxkvpvqvhqqhq. What is prob of sequence vkx?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/4 + 50499*k**3\/4 + 50501*k**2\/4 - 50499*k\/4 - 12625 = 0 for k.\nAnswer: -1, 1, 50500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 728 = -0*d + s, -2*s - 238 = -d. Let c = -202 + d. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1969 and 117603?\nAnswer: 1293633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*l**2 - 2 - 30*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -p + 3*p, 4*p - 8 = 0. Let q(d) = -5*d - 4*d - s*d + 5*d. Let m(n) = 5*n. Give m(q(v)).\nAnswer: -35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62720*q**2 + 77024 wrt q?\nAnswer: -125440*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + 1 + 1*sqrt(300)))**2.\nAnswer: -1440*sqrt(3) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.04 (c) 2\/7 (d) -2 (e) 0.34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.1 + 13. Let r = 3.1 + o. Which is smaller: r or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 18, 0.2, 0.3 in ascending order.\nAnswer: -10, 0.2, 0.3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -104. What is the remainder when x is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m + 3. Let i(w) = -157*w - 30. Determine -4*i(v) - 38*y(v).\nAnswer: -18*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 2*u + 0*u)*(-3*u + 5*u - 62 - 6)*(-3*u - u + 3*u) in the form i + t*u**2 + c*u + o*u**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 10:12 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-45)\/12)\/(-3))\/(2\/24). Let a be 1*1\/(-4)*(-15 + n). Suppose -d - 2*w + 19 = a, -4*w - 44 = -3*d - 7. What is the least common multiple of d and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 313*j**4\/24 - 118*j**3\/3 + 2*j**2 + 3. What is the hundreds digit of o(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 954?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 32*i - 1594. Determine k(49).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 611891715*n**3 + 36*n - 2101936 wrt n.\nAnswer: 3671350290*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -710*j + 54 + 42 + 712*j in the form r + d*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (1246\/4)\/(11\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231140770 and 28?\nAnswer: 462281540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0658 + 10.222369.\nAnswer: 10.156569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 5, 7 in decreasing order.\nAnswer: 7, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 1, u: 1, w: 2, r: 2, y: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o + 0*o + o)*(3 - 3 + 1) + 2*o + 4*o - 4*o + (-2*o + o + 3*o)*(5 - 4 - 3) + 2*o + o - 2*o + 58*o - 9 + 9)*(3*o - 2*o - 2*o)*(-3 - 1 + 0).\nAnswer: 232*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -368 + 341 - (-9 - 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((1 - -1)\/(-32)). Suppose 3*d - r = d. What is the smallest common multiple of d and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15016*p + 3*j = 15023*p - 120, -4*j = -p + 10 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/120 + m**4\/6 - m**3\/2 + 17*m**2 + 2. Give q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.512 + -0.012. Let m be (-1)\/3 + 3\/6. Let y = -81\/4 - -397\/20. Sort y, r, m in decreasing order.\nAnswer: r, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10*4\/2. Suppose 3*g = 2*g + u. Does 12 divide g - (-1*13 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1741170 by 5.\nAnswer: -348234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 992882080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 392 + -392. Solve h = 2*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (703 + -706) - (1 + -11)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-6)*x)\/x)\/((x*x\/(x**(1\/3)\/x*x))\/x))**(-13\/5)*(x*x*x**(-6\/11)\/x*x*x\/((x**(-6)\/x*x)\/x))**(3\/28) assuming x is positive.\nAnswer: x**(18187\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 755076*3\nAnswer: 2265228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/224870 and 43\/31840.\nAnswer: 3597920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1210043 (base 5) to base 3\nAnswer: -1010220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + 0) - (sqrt(2448)*-1)**2.\nAnswer: -2448 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 197 + 157. What is the remainder when 1*-4*(-19)\/2 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 735 and 172480.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148967138 - 148967076.159317. Let c = -4.161377 - k. Let h = -66 - c. What is h rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017 + 0.64840866203.\nAnswer: 0.63140866203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 76 = -2*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 82 = -5*k, 3*k + 4*y + 58 = -0*y. Let a be (13 + k)*(7 - 0). Suppose -12 = 5*n - n. Put 0, n, a, -4 in descending order.\nAnswer: 0, n, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1106 + 1139. Let g(r) = -130*r**3 + r. Calculate the remainder when g(-1) is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 11*k**2 + 13*k - 24. Calculate x(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52964 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3971)\/(-66) - (-1)\/(-6). Let v = -36 + m. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 + 2*n**2 + 3*n - 3. Let o(c) = c**2 + c - 1. Calculate 4*o(k) - w(k).\nAnswer: 3*k**3 + 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560232 and 24552.\nAnswer: 6162552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520831290?\nAnswer: 2, 3, 5, 7, 354307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 52874 to the nearest 1000.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + -15)*6\/(-4)*70\/15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5547 + -55397\/10. Let o = u - 21\/10. Find the common denominator of o and (15\/(-20))\/((-6)\/86).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 96*a + 92.\nAnswer: 4*(a - 23)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23)*d*d*d\/d**4)**(1\/7) assuming d is positive.\nAnswer: d**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -922.72 (b) 1\/6 (c) -5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8100\/833 < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -24 - 5*a + 56 - 18 + 191*a**2 - 19. Is q(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 9*v**2 - 6*v - 3. What is the remainder when 102 is divided by x(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/14306928 and 49\/78676.\nAnswer: 185990064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/133 and -21\/5.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 310\/(-3))*(-15204)\/(-48146).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 4*n**2 - 3*n - 2. Let i be 4\/6 + (-80)\/12. Suppose 0 = 2*c + 10, x - 3*x + 9 = -3*c. Let u = x - i. Determine a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*j + 109*j**2 - 759*j**2 + 47*j as z + s*j**2 + k*j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6563 divided by 287\nAnswer: 6563\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/7 - 572*c**2 + 109622*c\/7 + 16232 = 0?\nAnswer: -2029, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 + 0.2. Let y = -713\/4 - -180. Which is the closest to i? (a) -4 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 670472?\nAnswer: -67046c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)*w**2*w)\/((w\/(w\/(w\/(((w\/(w*w**(-4)))\/w)\/w))))\/(w**(-2)\/w)))**(-33) assuming w is positive.\nAnswer: w**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + d - 1. Let z(w) = 6*w**3 - w**2 - 24*w - 8. Let s(g) = -7*g**3 + g**2 + 25*g + 8. Let t(q) = 5*s(q) + 6*z(q). Let a be t(5). Determine m(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*b**3*m**2*z**2 + 6*b**3*m*z**3 - 24*b**2*m**2 - b**2*m*z**3 + 2*b*m**2 wrt b.\nAnswer: -150*m**2*z**2 + 36*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5.8 times 3651\nAnswer: -21175.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2915237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 11\/4. Let d be (-910)\/(-1200) - (50\/90)\/(175\/42). Which is the smallest value? (a) -0.5 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4860 divided by 36?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245360726 to the nearest integer?\nAnswer: 15664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = -13*d. Let x(g) = 0 + 6*g - 1 - 5*g. Let n be x(11). Solve 2*j + a + n = -d*j, -4*j + a - 8 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:14 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4972*t**2 - 5085*t**2 + 14745*t**2 - 5001*t**2.\nAnswer: -313*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 501, 758, 1015?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: b\"What is the hth term of -20, -28, -44, -68, -100?\n\"Answer: -4*h**2 + 4*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-297))\/((-65)\/(-78)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 21. Let q(j) = 3*j + 12. Let t(m) = -7*q(m) + 4*s(m). Let r(i) = -14*i**2 + 2. What is r(t(y))?\nAnswer: -14*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5*d**2 - 2*d - 7. Let n be w(-5). Suppose -m - 12 = -n*m. Is -4 + -3 + m - -128 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206022*n*s**3 - 300452*n - s**2 wrt s.\nAnswer: -618066*n*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 60*l - 13. Let o(c) = 2*c**2. What is i(o(r))?\nAnswer: 120*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-1)*228\/(-42). Let g = r + -11. Let l(h) = h + 1. Calculate the remainder when g is divided by l(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 22*f**2 + 13\/6*f**5 + 1\/6*f**4 - 11\/6*f**3 + 0 + 0*f. Is p(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 297983146 to the power of 1\/2, to the nearest integer?\nAnswer: 17262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, v: 7}. Give prob of picking 1 k and 1 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4309676 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -178*y - 3679 - 3975 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-8))\/(3\/(-40)). Suppose -225*u + 119*u = -2226. Which is greater: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71439 take away 38.1?\nAnswer: -71477.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -944.2 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/3 - 322*z**2\/3 - 13549*z - 367608 = 0. What is z?\nAnswer: -51, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76618 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*t - 817 - 1291, -y + 3*t = -534. Suppose -130*n = -132*n + y. Calculate the highest common factor of 48 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*b + 57*b + 55*b - 384 + 49*b to the form w*b + q and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 - 10*w + 18. Give v(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2443 - 3214333?\nAnswer: -3222331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16685 = 4*y, -13*y + 14*y = -4. Calculate the greatest common divisor of 79 and v.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0*l - 2*l + 5*l - 4*l. Let k(o) = 5*o**2. Give q(k(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -170 divided by -64\nAnswer: 85\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(114) - (2*sqrt(114) - sqrt(114)) - sqrt(114))*4)\/(-1*sqrt(18)\/sqrt(3) - sqrt(66)\/(sqrt(22)\/sqrt(2)))*1 + 3)**2.\nAnswer: -12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 49 - -27) + (-2 - (12 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 28.076. Let b = q + 0.324. Let m be (-2)\/7 - 2\/(-7). Sort -2\/3, m, b.\nAnswer: -2\/3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8871\/22 + 402. Calculate the common denominator of o and 37\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 143\/5 - 4\/(-10). Suppose 29 = j + q. Solve -4*v + 3*z = v + 22, 0 = 4*v + j*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/9 - 313*h**4\/9 + 3178*h**3\/9 + 1453772*h**2\/9 - 67350872*h\/9 + 857298848\/9 = 0. What is h?\nAnswer: -76, 34, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1523577, -1523496, -1523369, -1523202, -1523001, -1522772?\n\"Answer: -w**3 + 29*w**2 + w - 1523606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4904 - 3802 = 242*r - 14170 - 9170 for r.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.05 - -0.05. Let u be 0 + -1 + (-6)\/(-4). Let w = 324 - 324. What is the nearest to w in n, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 3*t + 85 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 1:12 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 12*z + 3*z)*(3 - 1 + 0)*(2*z - z - 3*z) in the form h + p*z**2 + t*z and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-81)\/24 + -6. Which is the third smallest value? (a) g (b) -10 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 290*u.\nAnswer: -5*u*(u + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 4*u - 996 = 8*c, u - 584 = -3*c. Suppose 2*o + 4*q = 113 + 7, 4*o = 3*q + c. What is the remainder when o is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136054 divided by -750.\nAnswer: 68027\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7711430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 4) + (-78184)\/(-2022)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 13*h - 21. Let i be y(2). Suppose -3*p - 9*v + 21 = -i*v, 0 = -2*p - 3*v + 13. Solve -2*z - 4*x - p = -5*x, 4*x = -z + 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 0, 3.1, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 2*y**3\/3 - 216*y. Let c(r) = -7*r - r - 5*r - 7*r. Give a(c(z)).\nAnswer: -80*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**2 - 165. Let n(q) = 3*q**2 + 60. Let h(j) = -11*n(j) - 4*w(j). Let f(o) = -50 + 50 - 11*o. What is f(h(x))?\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 4*u**3 + 8 - 5 + 0*u**3. Let q(k) = -7*k**3 + 3*k + 7. Let w(h) = -5*j(h) + 3*q(h). What is the units digit of w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275 - 9. Let r = 315 + h. Suppose -x + 2*x = 279. Calculate the highest common divisor of x and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 6\/3*1. Suppose -7*g + z*g = -4. Suppose -2*t + 132 = g*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from rrmamrrlrrrrrr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-37)\/(-2)*-1. Suppose l - 4*u + g = 0, 5*l + 278 = 2*l + u. Let r = l + 547\/6. Is r at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/2904)\/(21*14\/539).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3 - 13 - 11*k + 6*k**2 + 8*k**2. Let q be u(13). Suppose -q*c = -4*c - 18. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 756382 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*k + 12*k**3 - 439*k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 4*f**2 - 3*f + 14. Let u be j(-5). Suppose z = -3*c - u, 14 = -2*c - 5*z - 6. Solve c = -7*v + 8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31429 - 22338. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 1:56 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37264631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 9*w**3 + w**3 - 18 + 0*w**3 - 11*w**3. Determine g(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99808\/9 + 11114. Let t = z + -5477\/225. Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18625 divided by 5?\nAnswer: -3725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -1?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 - 636920*g**3 + 7989*g**3.\nAnswer: -628931*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1b14a6?\nAnswer: -1b14a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 1014701?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**3\/3 - d**2\/2 - 19*d + 6. Let n = 103 + -111. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32819458 to the nearest integer?\nAnswer: 5729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1107 - -1110. Let b(r) = -5*r + 4. Calculate b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280721 times 1380\nAnswer: 387394980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*s - 46 = 0, -41774*f + 41779*f + 46 = -2*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*16\/(-32))\/(22\/(-12))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/192)\/((-4)\/(-4))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 50*a + 8*a + 21*a + 14*a + 13*a.\nAnswer: 6*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/211, 74, -0.32 in descending order.\nAnswer: 74, -2\/211, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5448\/(-32))\/((-3)\/8). Let v = 9536\/21 - r. Let z = -2353 + 2348. Sort 0.3, v, z in ascending order.\nAnswer: z, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -2653?\nAnswer: -185.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 4*c. Let l be r(4). Suppose -5*n + l = 5. Suppose 0*w + 16 = -4*w + 4*x, 4*x - 10 = w. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 - -38. Let g = -30 - u. What is the remainder when 183 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25964 divided by 4\nAnswer: -6491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, u: 12}. What is prob of sequence cu?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**5\/60 + 5*i**4\/8 - 7*i**3\/6 + 2*i**2 + 1. Let v(x) be the second derivative of h(x). Is v(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112310, -112300, -112282, -112256, -112222, -112180?\nAnswer: -112130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 + 43*z**2 + 97*z + 12. Let u be n(-3). Which is the smallest value? (a) u (b) 1\/222 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794.54385 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 458772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 3*s - 1. Let d(h) = -14*h - 256. Let t be d(-18). What is i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*n + 115 = 0, 36*n = 3*x + 15*n - 2*n - 1480 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voikomt. What is prob of sequence it?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 167*a**2 - 2 + 90*a**2 + 100*a**2 as h*a + n*a**2 + z and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p - 2. Let b = -3 + -1. Let f be l(b). Suppose -4*o + 4*w - 91 + 19 = 0, 0 = 5*o + 4*w + 108. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -2*q + q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 5*t**2 - 2*t - 1. Let g be (6 - 1)\/(-10 - -9). Let d be r(g). Let c(v) = -v**2 + 11*v - 13. Does 5 divide c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12955022?\nAnswer: 2, 461, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by ((-12)\/2 - -5)*(-94)\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11465491.3 rounded to the nearest one thousand?\nAnswer: 11465000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 799?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h**2 - 17*h + 1068. Let j(i) = -11*i**2 + 12*i - 712. Let t(s) = 8*j(s) + 5*z(s). Differentiate t(d) wrt d.\nAnswer: -16*d + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 1351?\nAnswer: 22\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 2*j**2 - 2*j**2 + 114*j**3 - 71*j**3.\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 33*w - 24. List the prime factors of d(7).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.2. Let i be (-250)\/4*16\/(-630). Let z = i + -8\/7. What is the closest to -0.1 in z, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57340 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4415400 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 + 65 = h, 264 = 4*h + p. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 2:13 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 830018074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (12 + -12 - (0 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/j**(-1\/2))\/j*(j*j\/(j\/j**(2\/5)))\/j)\/(j**1*j)**(-7\/8))**(-50))**(-17) assuming j is positive.\nAnswer: j**(6205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, t: 7, y: 2}. What is prob of picking 3 t and 1 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174 + 118. Let m = o - -55.9. Are 5\/4 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -34*x**2 + x + 1. Let i(m) = 5890*m**2 - 155*m - 155. Let z(u) = 155*f(u) + i(u). Let q(o) = -3*o. Calculate z(q(c)).\nAnswer: 5580*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*d - 1316*d + 764*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76814*o + 177 + 451 - 76812*o to z*o + b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v = -48. Let s(y) = -4*y**2 + 6*y + 24. Let a be s(4). Let c be (a\/12)\/(-1)*(5 - -4). Calculate the highest common divisor of c and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w + 27*w + 8*w)*(5*w - 2*w - w)*(5 - 5 - 2*w) as g*w**3 + f*w + k*w**2 + d and give g.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(3*2*sqrt(88))\/(1*sqrt(8)*-4))**2.\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 4*z**2 - 6*z - 4. Let n(q) be the third derivative of q**6\/60 + 3*q**5\/20 + 13*q**4\/24 + 3*q**3\/2 + 87*q**2. Give 9*a(j) + 4*n(j).\nAnswer: -j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 461.2\nAnswer: 184.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03903 (b) -0.5 (c) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkppwttwt. Give prob of sequence wwp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a + 29. Let b(k) be the second derivative of -5\/2*k**2 - 1\/3*k**3 + 0 - 23*k. Let m(w) = 34*b(w) + 6*o(w). Calculate m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/152 + (-452)\/38?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (19 - 9) - 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 59?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3364678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 29*y. Let j(f) be the second derivative of 2*f**3\/3 - 33*f. Let u(k) = -k. Let z(m) = -j(m) - 2*u(m). Determine z(o(b)).\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 14*s = 16300. Suppose -2*r = 8, -2*r - s = 3*c - 3749. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/34*((-40)\/10)\/(-8).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 4\/12*-13)*72\/(-84).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -664 + 662. Let t = -42 + 42.21. Let x = t - -0.19. Which is the nearest to 2? (a) j (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnc when three letters picked without replacement from {r: 5, e: 4, n: 1, c: 1}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uku when three letters picked without replacement from bnkrxuu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 26. Let v be l(6). Suppose 4*o + 3*c = v*o - 24, o - 5*c = 6. What is the lowest common multiple of o and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/4 - 167*v**4\/4 - 1925*v**3\/4 - 5869*v**2\/4 - 235*v + 2225 = 0.\nAnswer: -5, -2, 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(0 + 4 + 2) + 2 - 2 + 1)*(i**3 + 2*i**3 - 4*i**3).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617819 - 617819 - 30*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 5*a**4 - 3*a**4 + (4*a**3 - 2*a**3 - 3*a**3)*(a + 6*a - 2*a) + (2 + 0 - 3)*(-5*a**4 + 3*a**4 + 3*a**4).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10094*o**5 - 115*o**2 + 2*o - 1 wrt o.\nAnswer: -605640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1262287 divided by -97099.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 + 314. Suppose 0 = -v - w + 464, v + 4*w + w - l = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 90*v + 33. Determine j(-29).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 2:17 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 676397.8g?\nAnswer: 676397800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102122122221 (base 3) in base 12?\nAnswer: b08ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i - 13. Let o be j(5). Suppose 0 = -o*w, -3*w + 76 = 2*z - 348. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512, -503, -494?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -126*q - 360*q**2 + 362*q**2 + 126*q. Let x(z) = 25*z. Give r(x(m)).\nAnswer: 1250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5238*f**2*m**3 + 4094952*f**2*m**2 + 10*f*m**3 - 2*f*m + 19*m**3 + 2*m**2 wrt m.\nAnswer: -31428*f**2 + 60*f + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21992, 87952, 197902, 351854, 549820?\n\"Answer: 2*x**3 + 21983*x**2 - 3*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 + -164. Calculate the least common multiple of z and (-2)\/(-1) + 0\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 32*x + 62. Let b(q) = -12*q - 1. Let o(m) = 4*b(m) + g(m). What is o(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -426 - -435. Let x = 10462\/11 + -951. Which is the closest to 0.1? (a) x (b) s (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24020 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 + 4*c**4 - 8*c**3.\nAnswer: 4*c**3*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 7*t**2 + 7*t + 13. What is the hundreds digit of o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -754.5 + 755. Which is the nearest to -0.1? (a) -0.4 (b) 0.8 (c) l (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 679940204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376704?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1066\/55 greater than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8649, -21392, -34135, -46878?\n\"Answer: -12743*r + 4094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 14. Suppose -3*m - 70 = 5*p, -4*m + p - 22 - 56 = 0. Let y be ((-6)\/(-2))\/(m\/(-8) - 2). Calculate r(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/13 + 3013320*f**2\/13 = 0.\nAnswer: 0, 1506660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 427 - 456. Are -212\/7 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36246 is divided by 155.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*s**3*y**2 - s**2*y**2 - 53*s*y**2 + 2*s*y wrt s?\nAnswer: 204*s*y**2 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/5)*u))**40*u**(6\/5)*u**1*(u**(-2)*u*u*u**1\/u*u)\/(u**(-1))**(3\/14) assuming u is positive.\nAnswer: u**(1359\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -27*b + 105. Is 17 a factor of o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1533 and 39993123.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 44, 1176, -5, 5.\nAnswer: -5, -1, 0, 5, 44, 1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33\/22)\/((-18)\/(-48)))\/98?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/6*12\/(-70). Suppose -5*l + 7*l = 6. Suppose -2*v = l*g + 3*v - 14, -3*g - 18 = -3*v. Is m less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.886256364 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 3:34 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/18)\/((-4)\/6). Is -2 - 2205\/(k - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose -x + o*x = -925. Let i = -444 - x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Let o(p) = p**3 + 4*p**2 - 7*p - 9. Let n be o(r). Let y = n - 15. Solve -y*s = 3*i - 19, -2*s + 5 = -i - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-33))**(12\/13) assuming p is positive.\nAnswer: p**(-396\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:12 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:53 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 8*z + 4. Suppose 0 = -5*t - 3*q - 40, -4*t + q - 37 = -5. Let m be o(t). Let g be m\/30 + 0\/2. What is the closest to 1 in g, -0.2, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -717, -1462, -2223, -2994, -3769, -4542, -5307, -6058?\nAnswer: -6789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 10*r**2 + 8*r + 6. Let q(x) = x**2 - x - 1. Let l = 36 + -33. Suppose -15 = -l*j + 3. Let n(v) = j*q(v) + f(v). Factor n(o).\nAnswer: 2*o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3149512582 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3911691 by 21.\nAnswer: 186271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/33*(-28)\/28*2\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2*4512\/(-697104).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*l - 5, 4*i - 28 = 6*l - 10*l. Put -72, -4, -3, l in descending order.\nAnswer: l, -3, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4066 - 8396*i + 2033 + 2033)*(0 + 0 + 1)*(4*i**2 - 2*i**2 - i**2).\nAnswer: -8396*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*y - 30. Let c(w) = -11 - 6 + 7 - y*w. Let f be c(-3). Solve -1 = -2*x - f*i, 2*i = 5*x - 0 + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1794540 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 = 3*x, 2*x + 32 = 2*m + 2. Suppose 12 = 6*a - 4*a. What is the smallest common multiple of m and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 797*d + 42806. What is i(-59)?\nAnswer: -4217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 381249 (base 11) to base 9\nAnswer: 1116585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 3526836?\nAnswer: 52902540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 2*s + 2*s + 293*s**2 - 80 - 251*s**2.\nAnswer: 42*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 + 1784883*m\/4 - 45510615\/2.\nAnswer: -3*(m - 594910)*(m - 51)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 + 1)*(n**3 - n**3 - n**5)*(-1 + 1 - 1).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 198*g - 104. Give r(-66).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:57 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1942722261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 126*a - 1323.\nAnswer: -3*(a + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 6895?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 463136 and 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let z(k) = -101740*k. What is d(z(m))?\nAnswer: 101740*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 11. Let j = -5 + 5.4. Let h = -11\/30 - 3\/10. What is the nearest to h in j, i, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-3)\/(-6) + 135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*s**2 - 14*s**2 + 0 - 8 + 8 to l*s**2 + b + z*s and give l.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 8*s)*((s + 3*s - 3*s)*(-2 - 1 + 1) + 2*s + 3*s - s)*(15 + 1 - 7).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/4, -1059, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 784 and 2688?\nAnswer: 18816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(2299)*4 - (-4 + sqrt(2299)*3))**2*4.\nAnswer: -3724700 - 15840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/17, 1, 5, 0.08, -0.1, -3\/4 in ascending order.\nAnswer: -21\/17, -3\/4, -0.1, 0.08, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*u - 324*u - 1097*u as m*u + v and give m.\nAnswer: -1491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*c = -381*c + 4*b + 4, 4*b + 16 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55398 = 267*j + 189*j + 693*j - 9438 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {j: 2, f: 3, v: 10, z: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 4*s - 1. Let h be (3 + -2)*(-1 + -2). Is z(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -449 - -482. Solve 2*x - 5*u + 16 = -2*u, -5*x + 4*u = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 190*t**2\/3 + 1258*t - 12138.\nAnswer: 2*(t - 7)*(t + 51)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let k(a) = 15*a**2. Give f(k(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, 1, -0.009, -8 in ascending order.\nAnswer: -8, -2, -0.009, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/((-102)\/20) + (-7 - -13)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(11\/5 + -3). Let h = -14 - -13.5. Which is the closest to -0.2? (a) h (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11062*m**3 + 600*m**2 - 7624016*m?\nAnswer: -66372*m + 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-9))\/(1\/48). Suppose -3*n = n - z. Solve -5*i - b - n = 0, 2*i - 3*b - 9 - 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2799815925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 g when four letters picked without replacement from nggnngggggg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.066 - -37.566. Let v = -38 + i. Which is the biggest value? (a) v (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 348490*q - 2000. Let j be a(40). What is j rounded to the nearest one hundred thousand?\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7563786 to 2 dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548743534 to the nearest integer?\nAnswer: 23425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:27 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*u + 2, 0*z - u = -2*z + 2. Let l(p) = 12*p**2 + 3 - 16*p**z - 3. Let d(q) = 24*q**2. What is l(d(s))?\nAnswer: -2304*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 5:46 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24 and 83\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 131, 289, 497, 749, 1039?\n\"Answer: -k**3 + 34*k**2 + 7*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 147, 318, 565, 894, 1311?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/28 - (0 - (-4)\/(-63))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 4:30 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*r - 419 - 279 = 0, -5*r + 478 = 2*i. Suppose 4*b = 2*b + i. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (408\/48)\/17 + 1538\/4. Calculate the highest common factor of i and 1309.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 8.5. Let j be 6 + -2 + -9*1. What is the fourth biggest value in 0.3, j, o, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -5, 0, 14, -3, -214 in ascending order.\nAnswer: -214, -8, -5, -3, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 574 and 1005894?\nAnswer: 7041258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5100759 + 1.51. What is x rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + p + 13, -2*p - 2*p - 30 = 5*x. Is 3 - (-1356 + 2*(x + 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/6 - 10*t**3\/3 - 25*t**2 + 8*t. Determine z, given that a(z) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34444.35 centuries?\nAnswer: 41333220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 14*c - 31. Solve -2*w = -4*d + 14, -c = d - 6*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -o - 3*o. Suppose -p = -o*c + 37 - 8, p = -4*c + 16. Let x be ((-3)\/p)\/(3\/72). Solve -4*b = 3*y - y - x, 3*b - 8 = 4*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 419 + -269. Calculate the highest common factor of m and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 4*j + 15. Let n be u(-6). Let i(y) = 4*y**2 + 76 - 3*y**3 - 41 - 3*y - 32 + 2*y**3. What is i(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679405 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, o: 4, b: 4}. Give prob of sequence wbo.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {j: 7, p: 1, w: 3, t: 1, z: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13437614.5851 and 79?\nAnswer: 13437693.5851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3300294*c**5 + c - 457821?\nAnswer: 66005880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + c + 5. Let a(r) be the second derivative of -r**4\/12 - r**2\/2 - 7*r. Let y(o) = -6*a(o) - z(o). Give y(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1550522 and 148?\nAnswer: 3101044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532927 a multiple of 803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*q + 16 = 2*q, 0 = 2*w - q - 46. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d + 6. Suppose 202*c = 221*c - 76. Determine p(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -7. Let k = n - -8.7. Which is the closest to -3? (a) k (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-5))\/126*12\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 130 + 8060 = 0. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.44 + -2.24. Let h = -7 - -4. Which is the nearest to i? (a) h (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3*t + 9, t + 2*t = 3*y - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/113985 and -56\/45.\nAnswer: 113985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-56 - (26 - 17 - 43))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510483187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/21)\/(u\/u**(-5)))\/(u**19\/u*u**(-19)*u*u) assuming u is positive.\nAnswer: u**(-145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/17, -33, 0.3, 0.4?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159.32 + 159.02. Let o = 0.75 + -0.6. Let x = 44 - 89\/2. What is the biggest value in r, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**2 + 2*q + 1. Let g(s) = -29 - 11*s**2 - 20*s**2 - s**3 + 45*s**2 + 2*s. Let p be g(14). Determine i(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2 + 24. Suppose 0 = -4*f + b - 2. Suppose -z - 4*z + 1263 = 4*k, -5*z - f*k = -1265. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 + 0*n - 2*n + (13 - 6 + 5)*(-2*n + 5*n - 2*n) to x + d*n and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2944 by -64.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6*o + 678 = 0. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 8*k + 3. Calculate b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = -1. Let o be 9\/4 - (-2)\/v. What is the second derivative of 0*h - 6*h**o - 3*h + 9*h**2 + 2*h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-21)*(-15)\/(-20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-76)\/(-76))\/(-1 + (-68)\/(-66)). Solve 35*b - k*b = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 - 69*f. Let c(l) = -4*l**2 - 59*l. Let i(p) = -7*c(p) + 6*y(p). Calculate i(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2 + 2)*(-1 + 6*j + 2 - 5*j)*(-64*j - 201170 + 201170).\nAnswer: -128*j**3 - 128*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-161)*(-1344)\/60\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -28*l - 12. Suppose 4*p = 117 + 223. Let x = p - 90. What is the tens digit of d(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 - -227. Determine o, given that 21*o**w - 54*o**3 - 3*o**5 - 46*o**2 - 4*o**5 + 4*o**5 - 39*o + 112*o**2 + 9 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 + (21 - 10) + -34\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + 3*q - 5*q)*(-9 + 9 - 12*q) - 2*q**2 - 4*q**2 + 4*q**2 + 21 - 16 + 18 - 3*q**2 to t + s*q**2 + r*q and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 70*d - 76*d + 2*d**2 + 3 + (-3*d**2 + 2*d**2 + 0*d**2)*(0 + 0 + 3) + (-4 + 3 + 2)*(-3*d**2 + 1 - 1) to the form a*d**2 + t + v*d and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -238932 divided by -59733\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 364*s. Let m(j) = 62*j + 18. Let l(p) = 10*p + 3. Let i(y) = 6*l(y) - m(y). Determine v(i(k)).\nAnswer: -728*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7286*i - 29126. Determine s(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 24 = -2*d. List the prime factors of ((-8)\/14)\/(d\/(-21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/7 - 57541*m**2\/7 + 2303201*m\/7 - 2245659\/7 = 0.\nAnswer: -57581, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2610 and 150187.\nAnswer: 147577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 17*l**2 - 12*l + 13. Let u be q(16). Suppose 6 = -3*o + 6*o. Suppose 44 = 2*x + o*x. What is the greatest common factor of x and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {r: 9, h: 1, w: 5, y: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/4 - 3\/(-4). Suppose 0 = 2*w + 2, 2*h + i = h - 4*w. Let s(t) = 9*t - 1. What is the units digit of s(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = 3*r + 68, r + 31 = 2*c. Let v be c\/(-3)*4\/(-4). Suppose v*x - 251 + 6 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:07 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 26 = 4*a, 0*c + 3*a + 27 = 4*c. Suppose 2*b**4 + 25*b**5 + b**3 - 22*b**4 + c*b**3 = 0. Calculate b.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) 10122.2 (d) 2 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 37?\nAnswer: 34\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*h**3 - h**2 - 2*h**2 - 2*h**2 + 3*h**2 - 89*h**3.\nAnswer: 199*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1706, 504 in ascending order.\nAnswer: -1706, -5, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12094, 12153, 12248, 12397, 12618, 12929, 13348?\nAnswer: 13893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507 - 41*m**3 + 3*m - 2*m**3 + 506 wrt m?\nAnswer: -258*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(3\/5))\/((d\/d**(1\/2)*d)\/d))**(-8\/19)\/((d**5*d\/d**9)\/(d*d*d\/((d*(d*d**(1\/3)\/d*d)\/d)\/d)*d)**(17\/3)) assuming d is positive.\nAnswer: d**(19934\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -454? (a) 2 (b) -0.2 (c) -1\/2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-2 - (-4 + 0)). Suppose 17 = 6*g + 5. Suppose 4*y - 19 = -5*u, -3*y = g*y - 5. Solve u = p - z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, 1, -3, 6.\nAnswer: -3, -1, 1, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2*(-1)\/(-12)). Find the common denominator of 26\/z - 1\/(-4) and 37\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(66 + 66 - 37)*(u + u - u) + (-2 + 7 - 2)*(-6*u + 2*u + 3*u).\nAnswer: -383*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 18*d - 28*d + 2954*d + 2.\nAnswer: 2944*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28039 minus 0.2?\nAnswer: 28038.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 282 + 324 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:29 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 36*x. Let k be v(-1). Let o be ((-18)\/(-4))\/(27\/k). What is the remainder when 55 is divided by ((-112)\/20)\/(o\/15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, 52, 52, 22, -44?\n\"Answer: -u**3 - 6*u**2 + 49*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -16 + (26 - (-26 + 61))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -b - 3*b. Suppose -k = -b*k + 10. Suppose q + 3*l - 5 = -4*q, k = -2*l. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195433374 to the nearest integer?\nAnswer: 13980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 179762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 9. Let v be o(-3). Solve 22*x + 3 = 2*f + 23*x, -v = -f - 2*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 3 = -18*g. Let x(t) = 6*t - 15 + t**g + 2 + 8*t**2 + 3. Let f(r) = -2*r - 1. Let b be f(3). What is x(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202291939867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*m + 645 = -1484 + 577 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 971432 and 421806?\nAnswer: 32057256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/44 + (-10)\/(-55)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = -0*s + s, 2*s - 3*m + 4 = 0. Let z = 263 - 505. Let a be (-133 - s)*4\/2*z. What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dffd when four letters picked without replacement from bnkdfkkfbgfddbkfnbkd?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/2 - 175*l**4\/2 - 3092*l**3 - 28086*l**2 - 75456*l = 0?\nAnswer: -131, -32, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 0.2, 1\/42 in descending order.\nAnswer: 1, 0.2, 1\/42, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 83*k**2 - 91*k - 1255. List the prime factors of d(-13).\nAnswer: 5, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 6698, 2\/3 in descending order.\nAnswer: 6698, 2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189067826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575758?\nAnswer: 2, 479, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -20579\/4 < -5144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1490, -1258, -1026, -794?\n\"Answer: 232*s - 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13663 is divided by 171?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 11 - 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:07 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and 13\/253?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -7 + 15. Let z be -64 - 24 - (0 - -1)*-2. Let h = z - -1117\/13. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29818699, 29818718, 29818737, 29818756, 29818775?\nAnswer: 29818794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((-82)\/3 - -1). Let n be 3\/(-4) - 6\/(-8). Suppose -5*i - v = -4*k, -3*k + 36 = -n*k + 4*i. Calculate the remainder when 47 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -100. Suppose -w - 5 = -5*j. Let y(s) = 6*s + 3*s - j*s. Let r(h) = -9*h. Determine y(r(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -246.4 - -246. Which is the biggest value? (a) m (b) -1\/3 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 902407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/215516 and 49\/16.\nAnswer: 862064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(720) + 0).\nAnswer: -48*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose 137 = -5*l + 2*n, -d*l + 4*n + 45 = -3*l. Let j = -18 - l. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -3*u. Let p = -230 + 263. What is the remainder when p is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6035, -5935, -5839, -5747, -5659?\n\"Answer: -2*c**2 + 106*c - 6139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 162 = 6*m. Find the third derivative of m*v**5 + v**2 - 11*v**2 + 26*v**2 wrt v.\nAnswer: 1800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 367 - 750 + 399 - 40*j - 28*j + 60*j**2.\nAnswer: 4*(3*j - 1)*(5*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27704.373 to the nearest 10.\nAnswer: 27700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6) + (-1)\/3. Suppose 343 = y*c - 3815. Suppose 2*d - 2134 - c = 0. What is d rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Let y be 3*(5\/x - -3). Calculate the highest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87\/14 + 187\/30. Is j != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.1 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 0*p**3 + 3*p**3)*(-2*p**2 + 4*p**2 - 4*p**2 + p) - 2*p**3 + 2*p**5 + 2*p**3.\nAnswer: -4*p**5 + 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 869962763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + m + 5 = -2, 4*m - 16 = -3*y. Suppose -165 = -9*c + y*c. Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r - 11. Let s(v) = 6*v**2 + 33*v**2 + 35*v**2 - 98*v**2. What is s(c(p))?\nAnswer: -1176*p**2 + 3696*p - 2904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 2*t - 2*t)*(-5 + 3 + 1)*(5*t + 7*t + 0*t) to q*t + p*t**2 + o and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1551137637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9551677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 3 - ((-5 - 0) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Let x(k) = 6*k**4 - 12*k - 18. Suppose 0*v + 1 = v. Let i(j) = v*x(j) - 18*b(j). Find the second derivative of i(r) wrt r.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -129*n - 2. Let f(v) = 11*v. What is t(f(r))?\nAnswer: -1419*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -965 - -1612. Calculate the remainder when d is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -3)*(2 + -4). Let i = 17 - 15. Suppose 0 = -s + o*s + 12, -12016 = -i*h + 4*s. What is h rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:15 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3486020.1 to the nearest 10000.\nAnswer: 3490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1093 + 2382. Let o be 8 + (m\/(-435) - 0). Are o and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1386*q - 2775 wrt q.\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608 + 608 + 76*a**3.\nAnswer: 76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 5*h + 5*y, -205*h - 24 = -201*h - 5*y for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 21113?\nAnswer: 42226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-585)\/(-6))\/(-13)*668\/(-6). Suppose z = 6*z - q. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5 + sqrt(1216))**2 - (5 + sqrt(1216))*-4) + -5.\nAnswer: 112*sqrt(19) + 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 11. Let d be m(13). Determine x, given that 1\/4*x + 1\/4*x**5 - 1\/2*x**3 + 1\/2*x**d - 1\/4 - 1\/4*x**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - ((-27 - -8) + 33 + -16).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 2:36 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 759 = 34*l - 397. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -9. Let x = -8.6 + v. Let z = 3.8 - 0.8. Which is the biggest value? (a) x (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/46)\/((-21)\/(-12))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjjp when four letters picked without replacement from {q: 1, f: 1, p: 3, j: 3, y: 1, t: 2}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8070, 16066, 24030, 31962, 39862, 47730, 55566?\n\"Answer: -16*t**2 + 8044*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259948845.\nAnswer: 3, 5, 13, 97, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -2\/19 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-386)\/(-26) - 106\/(-689). Suppose 5*t - j = 2*c + 17, -3*c = -t + 9. Solve 0 = -w + t*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28867*u - 19306*u - 38862*u + 29554*u - 51947*u + 3121*u)*(0 + 3 - 5).\nAnswer: 212614*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = v + 7, 4 = 3*j - v - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.00259 millilitres to litres.\nAnswer: 0.06300259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 9*y - 3. Let n(h) = -y*h - h + 4 + 2*h. Is n(-4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 - 760*k + 1512 = 0.\nAnswer: 2, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.4 (c) -6.6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1136*x. Let w(c) = 15*c. What is y(w(p))?\nAnswer: -17040*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 181574*(-4)\/270816 + 3\/(-4). Let c = y - -4\/1209. Calculate the common denominator of c and 48\/23.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31857 - 71?\nAnswer: -318c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 1771*h = 1767*h - 4, r + 4*h - 28 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-204))\/(-7*61\/(8967\/(-210))).\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -58206*j - 116432. Give b(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918722166.\nAnswer: 2, 3, 23, 6657407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6788543 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5997 (base 13) to base 16\nAnswer: -3156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) 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 217291661, 217291657, 217291653, 217291649?\n\"Answer: -4*f + 217291665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {e: 3, u: 1, p: 2, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1799c + c9?\nAnswer: 17a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-6) - (-4)\/(-6). Let k = -33 - -34. Let n(c) = 1 - 329*c + k + 330*c - 2*c**2. Determine n(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1665, -0.3, 4\/3, 5 in ascending order.\nAnswer: -0.3, 4\/3, 5, 1665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/30 + y**5\/60 + y**4\/4 + y**3\/6 - 49*y**2. What is the remainder when j(-2) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6861\/4 + -1715. Let b(a) be the first derivative of -1\/20*a**5 + 0*a + 11 - 1\/4*a**4 - h*a**2 - 5\/12*a**3. Factor b(v).\nAnswer: -v*(v + 1)**2*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**2 + 45*v - 93*v + 5*v**2 + 48*v + 448 to y*v + c*v**2 + n and give n.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from {f: 2, o: 7, j: 6}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1164042*h - 34921263. What is k(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.46 + 0.24. Let u = 5.7 - n. Which is the second smallest value? (a) -2 (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 121 = 8*q. Calculate the remainder when q\/(-66)*(1147 - 1*-2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238450 and 46075?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 2. Let s be 3\/6 - (-45)\/(-6). Let l be u(s). What are the prime factors of 1 + l - (1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -32*m + 216. Calculate the remainder when h(-5) is divided by (-52)\/8*(-3 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 24. Let x = 3 - k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599781.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, o: 2, s: 4, q: 2, l: 2, c: 4}. Give prob of sequence ocs.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 42. Let y = -15 - -33. Calculate the lowest common multiple of s and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12*r**3 + 4*r**2 + 10*r + 2. List the prime factors of t(7).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 30778356*a\/5 - 30778358\/5.\nAnswer: 2*(a - 15389179)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -11*m**5\/60 + m**4\/24 + 11*m**3\/6 + 8*m**2. Let u(r) = -5*r**2 + r + 5. Let g(y) = -9*u(y) + 4*w(y). What is g(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.00000003. What is q rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171))**2*-4 + 0.\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/85 and -22\/119?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-414*j**2 + 159*j**2 - 248*j**2 - 389*j**2)*(0 - 3 + 2)*(-3*j + 3*j - 2*j**2).\nAnswer: -1784*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17195910 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 179 + 0*v + 131\/4*v**4 + 0*v**2 - 146\/3*v**3. What is the third derivative of g(m) wrt m?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862058 (base 9) to base 4.\nAnswer: 1331103311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/50742 and 121\/84?\nAnswer: 710388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1417, -2846, -4281, -5722, -7169, -8622, -10081?\n\"Answer: -3*v**2 - 1420*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011 (base 2) in base 6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:01 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 49. Let t be p(7). Solve t = 4*y, -5*y - 3 = -2*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -776 times 28\nAnswer: -21728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 s when four letters picked without replacement from {a: 6, y: 3, s: 2, v: 5, m: 2}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1874534?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 198, 0, -149 in descending order.\nAnswer: 198, 4, 0, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-55))\/((487134\/180)\/(-97)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-46))\/((-788)\/(-9062)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39a - 1?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/(2\/(-22)). Let i = p + 22. Suppose -2*r = -5*c + i + 37, -3*r = -3*c + 36. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5328 and 5400.\nAnswer: 399600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 18*c + 6*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 319 + -319. Solve 5*r - 5*l - 15 = i, 0*r - 2 = -2*r + 4*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 202, 304, 408, 514, 622, 732?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - -6.16. Let o = x + -4.2. Let q = -207\/20 + 43\/4. Which is the third biggest value? (a) q (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23847483281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 43*o**2 - 13*o - 13. Let n(x) = -11*x**2 + 3*x + 3. What is 2*j(z) + 9*n(z)?\nAnswer: -13*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s**(2\/3)*s))\/s*s)\/s)**13\/((s*s**3\/s)\/(s**(-3\/8)*s)))\/(s\/(s\/(s\/(s*s**3\/s)))*(s\/((s*s*s**6*s)\/s))\/s)**20 assuming s is positive.\nAnswer: s**(4223\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*(2685480\/(-700))\/(-139)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 - (2 + 1) - -3. Let l = 1 - 1. Let s = 11\/7 - 19\/21. Which is the closest to s? (a) l (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, n: 1}. Give prob of sequence bbnb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/8 in -0.3, 0.5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369 or 375?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91676, -91428, -91180?\n\"Answer: 248*l - 91924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4352288173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 6*b - 1. Let n be (10\/(-4))\/(6\/12). Let r = 11 + n. Let l(w) = w**2 - 7*w + 1. Calculate r*l(x) + 7*q(x).\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - x + 1125001 = 0, 3 = 2*x + x. Round y to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*i**4 + 4*i + 2 + 3*i**2 + 90*i**4 - 2*i**3 - 3 + 3 in the form u*i**3 + t*i + b*i**4 + y + s*i**2 and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -3\/10*v**5 - 10*v + 0 + 0*v**3 + 0*v**2 - 4\/5*v**6 - 1\/3*v**7 + 1\/3*v**4. Factor p(z).\nAnswer: -2*z**2*(z + 1)**2*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n - 5. Let o(b) = 26*b + 26. Give -3*o(d) - 16*r(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2438, -4845, -7252, -9659, -12066, -14473?\n\"Answer: -2407*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 5*f**3\/6 + 35*f**2\/4 - 110*f + 77. Factor h(u).\nAnswer: 5*(u - 4)*(u + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:09 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*s = 16, -8*r + 12*r - 5*s - 11 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.547 + 1.547. Put -5\/3, x, -6, -2 in ascending order.\nAnswer: -6, x, -2, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13)*-1*3 - -3*(sqrt(26)\/sqrt(2))**2).\nAnswer: -12*sqrt(13) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/332 and -13\/664.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58884 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6339.321l to millilitres.\nAnswer: 6339321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9332102441 - 0.\nAnswer: 9332102441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Let p = -2 - a. Let f be (0 + p - 2) + 4. Solve f*k = -k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*g**3 - 828*g**2 - 700*g - 196.\nAnswer: -4*(g + 1)*(9*g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 1154*q**3 + 4734*q**4 + 6*q**5 - 728*q + 232*q**2 - 2261*q**4 - 2273*q**4 = 0.\nAnswer: -26, -7, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -11657.9827.\nAnswer: -11658.0827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -37, -142, -353, -706?\nAnswer: -1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + -106. Let o be 2544\/i - 4\/(-22). Suppose n = -24 + o. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 4 + 4)*(3*y**2 + 0*y**2 - 4*y**2) - 3*y + 3*y + 2*y**3)*(6 - 1 - 3).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163 or 14?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 4, -2*s + 42 = -2*j + 44 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let t(f) = -4*f + 4. Let d(s) = -o(s) - t(s). Let y be d(4). Solve 0 = 2*q - y - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13771100, -27542183, -41313266, -55084349?\nAnswer: -68855432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0327385 and 5.\nAnswer: 5.0327385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*z**2 - 53*z**2 + 115*z**2 - 29*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 - 462 = -5*l. Let r = -1441\/10 + l. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 + -116112110?\nAnswer: -116112024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11346324336 - -2.\nAnswer: -11346324334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 247, 159, -3, -257, -621, -1113, -1751, -2553?\n\"Answer: -3*f**3 - 19*f**2 - 10*f + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16205820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 370035 + -0.089713.\nAnswer: 370034.910287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 = -11*n + 324 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101030?\nAnswer: 2, 5, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 - o**2 - 133 + 36 + 3*o**3 + 41 + 55*o**4 + 3*o - 2*o as g*o**3 + y*o**4 + q + l*o**2 + c*o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 + -188. Let m be (-2 - x\/(-20))*(-2 + 7). Put 1, 7, m, 5 in increasing order.\nAnswer: 1, m, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1207.156 to the nearest 10.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 1 + 2*f**4 - 6002*f**2 - 2*f**3 + f + 5994*f**2 to the form t*f**4 + b*f**3 + n + q*f**2 + m*f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 84*q**2 + 12*q + 36. Is 12 a factor of n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 279\/620*4\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 9.8. Let z = f - -0.2. Let a = -3\/2 + 2. Are a and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 4*x + 27 = -13*v, 4*x - 3 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2778960 and 720?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 42218\/1313 - ((-3184)\/1430 + 2 - 0)?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - 0 - (-2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42371, -169356, -380991, -677276, -1058211, -1523796, -2074031?\nAnswer: -2708916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22124 + 818516\/37. Let s = 28018558 - 12440233597\/444. Let k = w + s. What is the common denominator of k and -41\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 + 6\/12*(-1 - 12 - -9). Sort -3, -4, p in decreasing order.\nAnswer: p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/60 - 2*j**3\/3 - 2*j**2. Let f be i(0). Let h(v) = -568 - 4*v + 1019 - 456. Give h(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5256635 and 16821232?\nAnswer: 84106160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = -3*j - 318595, v + j - 63711 = 0. Suppose -4*x = -0*x + v. Let a = x - -4929. Round a to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*u + 8. Let z = u + 46. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6042 and 140715.\nAnswer: 5347170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 - 6*v + 1. Let z = 10 - 4. Let w be o(z). Solve 5 = -4*j + w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1159, 3.\nAnswer: -1159, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 58 in ascending order.\nAnswer: -3, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.59 + -8.\nAnswer: -6.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from zootnzdzzz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Let m(i) = 3*i**2 - 5*i + 2. Let z be m(r). What is the tens digit of (-170)\/(-14) + (-2)\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168859, -337662, -506427, -675136, -843771, -1012314, -1180747, -1349052?\nAnswer: -1517211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2550 and 2171850.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + p + 3. Let t be m(-2). Let o(y) = 6*y**3 - 8*y**2 - 5*y - 5. Let f(x) = -2*x**3 + 4*x**2 + 2*x + 2. Let w(q) = t*f(q) + 2*o(q). Factor w(k).\nAnswer: 2*k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-7 - -4) + 17. Put k, -5, 5 in descending order.\nAnswer: k, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 1 + 2)*(-1 + 1 + 1) - 1 + 5 - 2 + 3 - 5 + 1 + 18 + 1 - 7)*(-15*c + 22*c + 21*c) as t + i*c and give i.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175 = 12*d + 1379 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-116*s - 94*s + 67*s)*(-4 + 4 + 2) + s - 4*s + 5*s)*(-64 + 64 - 6*s**2).\nAnswer: 1704*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23171479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2209, 18, 4, -4, -3, -2 in decreasing order.\nAnswer: 2209, 18, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (-29 - (-3 + -34)) + 8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < -919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 439.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5 + 3*q - 4 + 2. What is the tens digit of u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 24*d = 161 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 45*h**2 - 702*h - 32832. Give c(-44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -856.39088 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-3)\/(-9)) + -16. Let s = -8 - p. Solve -s*i - 15 = -h, -3*h - 2*i = -4*i - 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -19*n**2\/2 - 128*n + 478. Let m be a(-7). Suppose 4\/5*o**4 - 8\/5*o**2 + 4\/5 + 2\/5*o**m - 4\/5*o**3 + 2\/5*o = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/30 + 7*o**2. Let h(t) = -t. What is h(v(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 - 174407616*y + 1901126032425216 = 0. Calculate y.\nAnswer: 21800952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = 332. Suppose q + 109 = 4*w. Suppose 3*r = 16*r - 78. Calculate the highest common factor of r and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-3708)\/(-306) + (-393)\/17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {f: 2, e: 6, c: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1503 and -0.3.\nAnswer: 450.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -592079\nAnswer: 1776237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344135277 to the power of 1\/3, to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15092\/(-3234)*(-12)\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6828 and 72.\nAnswer: 40968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7382 >= -7385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*z = -277*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 434\/(-3) - (-2)\/(-4). Let n = 353\/3 + v. Suppose -2*i = -0*i - 64. Calculate the common denominator of n and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -15. Let u(v) = v**3 + 5*v**2 + 5*v + 1. Let s be u(b). Let x be ((-2)\/s)\/(26\/507). Is 15 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12108, 24216, 36322, 48426, 60528?\nAnswer: 72628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2707683 is divided by 425.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49483, -49577, -49671, -49765?\n\"Answer: -94*r - 49389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*g - 19 - 2 = 0, 4*g - 4 = 0. Let y(s) = h - 8 - s**2 + 2*s**3 + s. Let k be y(1). Solve -k*t - t = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:36 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 + 7*o - 20. What is the tens digit of m(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -371, -368, -363, -356?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 75 - -2971a?\nAnswer: 29791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v - 1. Let u(k) = 5*k**2 + 7 - 7*k**2 - 4*k - k**2 - 11. Calculate -20*l(d) + 5*u(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/10)\/(11\/(-22)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmqdkqkqm. Give prob of sequence kq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 24, -5.\nAnswer: -5, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -0.07, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*w + 24830 + 5564, 60802 = 4*w - 5*v. Calculate the remainder when w is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2 - 8*v - 2*v + 0 - v. Is 7 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.01. Let r = q - -0.009972. Round r to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12900*k + 4055*k + 4069*k + 4794*k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:15 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5130*y = -5234*y + 104 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (216\/135)\/((-1)\/(-240)). What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7905 + 7905. Let h(p) = -p**3 - 6*p**2 - p + 4. Let u be h(-4). Let m be 1\/(-3) + u\/9. Sort m, 2, c.\nAnswer: m, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -4.172.\nAnswer: -7.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4955 by 5.\nAnswer: -991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14185237.\nAnswer: 11, 1289567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**5\/210 + 19*u**4\/21 + 1444*u**3\/21 - 39*u**2\/2 + 47. Let s(n) be the second derivative of p(n). What is l in s(l) = 0?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116*g*o*y**2 + 186*g*y**3 + g*y + 187*o*y**3 + 71*y**3 wrt o.\nAnswer: 116*g*y**2 + 187*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/8 + 3*m**3\/2 + 81*m**2\/4 - 4*m + 43. What is k in l(k) = 0?\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 498043 and 507.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 6. Let l be (-9)\/(-2)*d\/6. Find the common denominator of 79\/4 and -2 + (-2)\/(-16) + l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 7, d: 3, b: 5}. Give prob of sequence dydd.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -397*-0.5\nAnswer: 198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0*w + 3*w - w. Let v be g(-1). Let p be v + 2 + 4\/(-2). Does -5 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -547 - -57473?\nAnswer: 56a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(70\/(-147))*(-34)\/3. Let m = 83 + o. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 11*l**2 + 28*l + 32. Let q be z(-13). Suppose 12*j - 4*j + 192 = 0. Let b be (j\/30)\/(8\/(-20)). Is q != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 3 + -4 + 5 + -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 37 - 37 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -58\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132 - -11103311?\nAnswer: 11102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (3 - 1) - (2956 + -2950).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 650705.8 millennia in decades?\nAnswer: 65070580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12*-4*0. Suppose f*j - j + 10 = 0. Calculate the remainder when 396\/j - (-6)\/60*4 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose 2*z - 40 = -4*x, 2*z = -3*z - o*x + 65. Let m(y) = -2*y + 3. What is the smallest common multiple of z and m(-3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 1. Let t(i) = 1 + i**2 + 1 - 1. Let c(j) = 2*t(j) + 2*z(j). Let m(v) = -2*v. What is c(m(b))?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 - 3*c + 5. Let u(s) = 365*s - 370*s + 8 + 1 + 11*s**2. Give 7*g(p) - 4*u(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 5 - 3*-1 - -2. Sort f, 3, 5 in decreasing order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*s - 5*s + 2*a, 0 = -2*s - 4*a + 38. Let w = s + -13. Sort 1\/9, w, 0.5.\nAnswer: 1\/9, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -5.1. Let h = -0.1 + -3.9. What is the third smallest value in 0.4, h, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 9*p - 8*p. List the prime factors of (469 - p)*4\/12.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)*l\/(l*l**(-2)\/l))**49 assuming l is positive.\nAnswer: l**(539\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 - 4*(-45)\/54. Let m(r) be the first derivative of 11 - h*r**3 + 3*r**2 + 0*r. What is the second derivative of m(f) wrt f?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/93010708 and 37\/14?\nAnswer: 93010708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -184, -194, -212, -238?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1837256103?\nAnswer: 3, 89, 2293703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26196*m**4 - 23782.\nAnswer: -104784*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*g**3*k - 6*c**2*g**2*k**2 + 3*c**2*k + 42035*c*g**3*k**2 + 28*c*g**3*k - 4*g + 6*k - 20 wrt k?\nAnswer: -12*c**2*g**2 + 84070*c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10468 - -16068. Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 8. Let f(z) = -13*z + 15. What is f(g) + 2*u(g)?\nAnswer: -15*g + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g - 12*g**2 + 19*g**2 - 4*g**2 - 7*g**2 - 41*g.\nAnswer: -4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -73*m + 6. Let o(j) = -165*j + 13. Let n(r) = 4*o(r) - 9*s(r). Let a(d) = -3*d - 2. Determine 3*a(u) - 4*n(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g - 1 - 64*g - 28*g - 75*g + g + 2*g - g + (6 - 2 - 3)*(2*g - 2*g + 2*g).\nAnswer: -153*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, r: 1, j: 1, o: 5, i: 7}. What is prob of picking 1 o and 3 i?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49985, 1\/16, -0.2.\nAnswer: -0.2, 1\/16, 49985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006001 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 70. Put -0.08, -5\/2, l in descending order.\nAnswer: l, -0.08, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 647*h**2 + 2*h.\nAnswer: 647*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388452.\nAnswer: 2, 3, 32371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*w = 22, -h - 5*w = -6*h + 65. Suppose 2*c + 5*k = h, 0 = 2*c - 0*c + 2*k - 12. What is the lowest common multiple of c and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*o = 158*o - 42*o - 951 - 337 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/946 and 23\/3703418.\nAnswer: 40737598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112\/3 - -38. What is the nearest to -3 in 0.1, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 31*n**2 + 65*n - 33.\nAnswer: -(n - 1)**2*(n + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 6*c**2 - c + 1. What is u(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:02 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-147*d + 56*d - 65*d)*(-1 - 3 + 2)*(0 - 3 + 5)*(1 - 1 + 3) as s*d + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 519286 or 1740?\nAnswer: 519286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 60*a - 36. Does 27 divide u(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5632524 is divided by 1877502.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54\/329 + 1\/47. Let s = -8.83 + 0.63. Let b = -10.2 - s. Sort 1\/5, d, 1\/10, b in ascending order.\nAnswer: b, d, 1\/10, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -797 + 801. Let r(i) = -5 + 2*i**3 + 7*i**2 - 2 + 1 - 3*i**3. Let x be r(q). Which is greater: 43 or x?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 0.03. Sort 1\/5, m, -1, 0.3 in decreasing order.\nAnswer: 0.3, 1\/5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-16) + 5*6\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6031780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(-24*(-165)\/21600). Is z at most 32\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 89. Put o, 0, -1 in decreasing order.\nAnswer: 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - y = 2, -3*q + y = -0*q - 6. Let x(j) = -q + 1 + 2*j**2. Let n(l) = 2*l**2 - l**2 - 2*l**2. What is x(n(u))?\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/11 + 4922*i\/11 - 154504\/11 = 0. Calculate i.\nAnswer: -2492, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (127\/2)\/((-6)\/(-36)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 33. Suppose 3*r = -0*r + 93. What is the remainder when r is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 534539.4 and 49288.\nAnswer: 583827.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:10 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10110101 (base 2) to base 13\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 11. Let g be s(10). Let f be 2*g + (-51555)\/(-28325). Let y = f + -1\/515. Which is the biggest value? (a) y (b) -1\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 4*q**3 + 2405*q. Let v(x) = x. Calculate -168*v(f) + 6*z(f).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (-5*sqrt(104)*-1 + sqrt(104) - sqrt(104)))\/sqrt(8))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 12*k**3 - 28*k**2 + 10*k - 27. What is the units digit of q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(30)\/sqrt(10)) - sqrt(13)*1*2)**2 + -3 + (-2 + 0 + sqrt(13))*4 + 0.\nAnswer: 2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**3 + 89*j**2 + 36*j + 456. Calculate a(-12).\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*u - 124*u + 45*u)*(9 - 8 + 11)*(-u + 9 - 9).\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6221*l*v**2 + 5*l*v - 6*l + 2*v - 2 wrt v?\nAnswer: -12442*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.69 + 14.69. Let i = -41 + 27. Let a = i + v. Is a at least as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = 0, -2*a - y + 14 = 4. Suppose -a*v + b = -82 - 169, 0 = 3*b - 12. Let h = 132 - v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27772824 to the power of 1\/2, to the nearest integer?\nAnswer: 5270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1540\/(-462))\/((-4)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37 + 134 + 195*z**3 - 20*z - 31 - 25 - 29 wrt z.\nAnswer: 1170*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -2634881.\nAnswer: -38\/2634881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.69982g to tonnes.\nAnswer: 0.00001869982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 24*x**2 - 3. Let t be a(24). Let y(i) = 0*i**2 - 1 - 2*i - i**2 + 0*i**2. Determine y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16703, -66777, -150229, -267059, -417267, -600853?\n\"Answer: -16689*z**2 - 7*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 13*f + 7. Let y be b(-7). Let p = -21 - y. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89, 79, 47, -19, -131, -301, -541, -863?\n\"Answer: -2*q**3 + q**2 + q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ypyukuykkpy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-327 + 327 + 72*f)*(-2*f - 1 + 1)*(-5 + 3 + 1)*(0 + 0 - 6)*(3 + 2 - 2) to the form u + v*f + k*f**2 and give k.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + 1*sqrt(19)*1)**2*2*3 + -3 + -1 + (1 + -3 + sqrt(475) + -2*sqrt(475) + sqrt(475))**2.\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - u. Let f = 69 + -72. Let b(k) = -13. Let d(o) = 8. Let h(g) = 3*b(g) + 5*d(g). Determine f*h(a) - c(a).\nAnswer: 2*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418 divided by -2.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25347 + 25346.977. Which is the third smallest value? (a) 0.3 (b) -5 (c) 2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 10*d - 25. Suppose -5*n - d*p + 2299994 = -5*p, 460015 = n + 5*p. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 6*s - 7*s - 47, -b = 2*s + 108. Is s at most as big as -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 + 4 + 6*t**3 - 10.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p - 12*p**2 + 6*p + 3*p - 6*p wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/132 in -4, -1, -1\/60, -0.2?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1321 (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 26 = -3*i. Suppose -i*t - 254 = 138. Let b = -12 - t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2290945\/4 - 577186. Let n = z + 4426. What is the common denominator of n and 109\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 203402?\nAnswer: 203344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2302114144 - 2302114144 + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 5 + 4)*(-1 - 2 + 4)*(3 - 4 + 2)*(-4*c + 6*c + 0*c) as o*c + p and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 15 = -b - 3*h, -5*b + 2*h = 66. Let w = 23 - 40. Let l = w - b. Sort l, -1, 3 in ascending order.\nAnswer: l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3*i - 92 = -4*s, 2*s - 34 = 4*i. Suppose -350624 + 14624 = -s*o. Round o to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180547, 180599, 180637, 180661, 180671, 180667?\nAnswer: 180649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.004, -0.2 in ascending order.\nAnswer: -2, -0.2, -0.004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from drbrbrrdr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2478 and 82302.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y, -2*a = 5*y. Suppose 0 = 3*v + 4 - 43. Suppose v*g - 9*g = a. Solve g*m = 4*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/14)\/(6\/210). Suppose 6*z = z + p. Let c be (36\/z)\/(6\/20). Solve 3*d + 7 = -3*q + 5*q, 20 = c*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**3 + 298*i**2 - i + i**3 - 306*i**2 as s*i + v + j*i**3 + n*i**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410449 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -15\/2, -2\/9, 2, 26, 5?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*f*k**2 - 2*b*f + b*k - 2*f*k**2 - 4*f*k - 7*f wrt k?\nAnswer: -4*b*f*k + b - 4*f*k - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(39)\/(sqrt(147)*1) + 1 - (sqrt(104) + sqrt(104)*-1*-4 - sqrt(104))\/(6*sqrt(32))).\nAnswer: -4*sqrt(13)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)\/z**6*(z*z**(-1)\/z*z*z*z)**(7\/4))\/((z**(-1\/4))**(-30))**9 assuming z is positive.\nAnswer: z**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19954 is divided by 498.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 20 + 11 + j + 19358*j**3 - j**2 - 19359*j**3. Give n(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*1*7 - -2. Let p = w + -24. Let n = p - 12. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13768, -27137, -40506?\nAnswer: -53875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/((-86)\/258)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 50 = -2*c. Let a = 3047 + -2997. Let n = a - c. Solve 3*z = -n*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -107066*u**2. Let r(w) = -10*w. Determine r(d(b)).\nAnswer: 1070660*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00180567698 rounded to six decimal places?\nAnswer: 0.001806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 6. Let k(y) be the third derivative of y**5\/30 - 2*y**2 + 34*y. Let r(n) = -6*n**2. Let i(l) = -2*k(l) - r(l). Determine t(i(b)).\nAnswer: 6*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y = -33*y. What is the lowest common multiple of 2 and 17 + -7 - (-4 + y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b + 99. Let v be l(11). Solve -a + v + 6 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1431743, 2863487, 4295231, 5726975, 7158719?\n\"Answer: 1431744*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144228815?\nAnswer: 5, 97, 347, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(7\/(-28))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12978 and 0.04199675.\nAnswer: 12978.04199675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 + 2*b**2)*(283*b + 523*b + 2 + 589*b) + b**3 - 7*b**3 - b**3.\nAnswer: 2783*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -357202.08 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-490)\/(-24500)*(-1 + -4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -41, -32, -7, 40, 115, 224, 373?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*9\/(72\/(-392)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i + 41*i - 28*i + 62*i - 35*i + 62*i**2.\nAnswer: 62*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1402 is divided by 112?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide -1 - -1009 - (-1 + (-10 - -19))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 417.6278 millilitres?\nAnswer: 0.4176278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z = -13*z - 219672. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 8*p**2 + 8*p - 4. Suppose 8*c - 44 = 4*c. Suppose 2*b + c = 3*a, -5*a + 2*a - 5*b + 46 = 0. What is f(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 276.\nAnswer: -5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 6*n**3 - 3*n**2 - 20*n - 12 = 0. Calculate n.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/3 - 8\/(-3))*13572\/21112?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -1\/8*p**4 + 0*p**2 + 0*p - 1\/6*p**3 + 2. Find k such that c(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3193 - 213?\nAnswer: 2a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -65 - (-33856)\/(-529).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 3*h**2 + 2*h - 5. Let t be g(-4). Put t, -5, 9 in ascending order.\nAnswer: -5, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 times -39390.3?\nAnswer: 9059.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 + 2 + (sqrt(1872) - (-4 + 0 + sqrt(1872))))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110055 divided by 11.\nAnswer: -10005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 - 144. Solve -2*n - t*s = -12, 5*n + 3 - 17 = -s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 165*i**2 - 337*i + 1772. What is g(163)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -663 (base 15) in base 7?\nAnswer: -4131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-184)\/6*(7 + (-138)\/3). Suppose -11*d - y + 11019 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuuuuuuuuuuuuuuwuu. What is prob of sequence wu?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.7 + 57.7. Sort 5\/3, 0.017, f, 2\/5 in increasing order.\nAnswer: f, 0.017, 2\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1836))\/sqrt(3) + (sqrt(34)\/sqrt(2) + 5 - (sqrt(17) + -1*sqrt(425))).\nAnswer: -7*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5248*v**4 - 2*v**3 + 19*v**2 - 12607*v + 3 wrt v.\nAnswer: 62976*v**2 - 12*v + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v**2 - 2*v - 2*v**2 + 3*v**3 - v**4 + 4*v**2 to the form g*v + z*v**2 + n*v**4 + q*v**3 + l and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97020188*m**2*n**2 - 146*m*n**2 - 65205*m*n - 3*n**2 wrt m?\nAnswer: 194040376*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -28*a**2 - 747*a + 1142. Calculate c(-29).\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 769548503 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = 0, -14 = -2*r + 3*n - n. What is the highest common divisor of r and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 6*c**4 - 2*c**4)*(-8153 + 120*c + 8153) + 0*c**5 + 0*c**5 + 2*c**5.\nAnswer: 122*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (432\/6318)\/((-16)\/(-104))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 + 22*w\/15 - 4\/15.\nAnswer: -2*(w - 2)*(5*w - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v**4 - 3*v**3 - v**2 + 5*v**3 + 1 - 12*v**4 as y*v**3 + w*v**4 + a + i*v**2 + u*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -121 - ((-43 - 82) + -119).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 4. Let k(r) = r**3 + 5*r**2 - 17*r - 15. Let x be k(-7). Give u(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 681762, -5 in descending order.\nAnswer: 681762, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4596820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 20*j + 16*j - 4, 13 = 4*g - 3*j. Solve -2 = 42*h - 40*h, 9 = g*l - 5*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-5)*(-10)\/(-4) - ((-446 - -176) + 263)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6834 is divided by 848?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9167471 - -b?\nAnswer: -9167462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -263 - -77. Let j = 557 - f. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + 10. Let n be f(4). Let m be 4\/n + (-16)\/(-65). Is 0.2 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/12 and -143\/588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-84))\/(60\/42). Let i(m) be the first derivative of -2\/3*m + r*m**5 + 2\/3*m**2 + 2 - 1\/3*m**4 + 0*m**3. Factor i(w).\nAnswer: 2*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*u - 458 = 1358, -5*u + 1327 = 3*a. Let w = -314 + a. Suppose -2*c + w = 3*c. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -19.2. Let d = 18.99 - p. What is the second biggest value in d, -2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Suppose 24 = -4*u - 0. Let v(b) = -b**2 - 5*b + 7. Let s be v(u). Let f(l) = s - 4*l**2 - 1 + 21*l**2. Give f(y(q)).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195821532*h*i**4 - 32705*h*i - 2453*i**2 wrt i?\nAnswer: -4699716768*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**3 + 6*a**3 + a**3)*(-52 - 32 - 39) - 2*a - 4*a**3 + 2*a to f*a**2 + m + g*a + p*a**3 and give p.\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:44 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/72*(-5754)\/(-147) and -145\/258.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 486 and 2844?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17850 divided by -5?\nAnswer: -3570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 20. Let z(w) = -26*w - 161. Let v(a) = 34*g(a) + 4*z(a). Let t(r) = -12*r. What is v(t(u))?\nAnswer: 24*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2)\/(-2) + 6\/12. Let s = 6 + -4. What is the closest to s in 1\/6, b, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148\/11 greater than or equal to 0.015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86325.16 weeks in milliseconds?\nAnswer: 52209456768000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -649, -1444, -2557, -3988, -5737, -7804?\nAnswer: -10189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 123849672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 82 = 3*i - 71, -3*i + n = 19. What is the closest to -6 in -0.2, -0.5, i, 3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.8 + -5. Let n = h + -0.8. Which is the closest to 1? (a) n (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 28. Let p(t) = t**2 + 11*t + 15. Let l be p(v). Is 3 a factor of -3 + 15\/l*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5 - 196308*f**4 - 10410726*f**3 - 132617412*f**2 + 143224443*f = 0?\nAnswer: -27, 0, 1, 65489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125884952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = 4*y, -2*y = -2*q - 1 - 3. Let n be 16\/24*((-33)\/(-22))\/(4\/(-6)). What is the nearest to y in -12, n, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-10))\/(648\/180 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 35. Find the third derivative of h*t**6 - 5*t**2 - 2*t**2 - 2*t**2 - 6*t**6 wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3737600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3762)\/(-37620))\/((-3)\/(-1830)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l - 5302720 + 5302772 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -11*p**5\/20 - 23*p**4\/12 + 32*p - 2. What is the third derivative of g(m) wrt m?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8976\/2312 + 8\/68. Let n = 3 - 6. Which is the biggest value? (a) -2\/7 (b) n (c) 0.4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 != -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + 12. Let x = 82 - f. Calculate the remainder when 13 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccb. Give prob of picking 1 b and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5941 is divided by 5633?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-3))\/((-50)\/75). Suppose -v = 10*i - 11*i. Solve -10 = -i*z + 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 5*r - 27 + 40 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(931) + -5)*-6 + (sqrt(931)*-1 + 3)*-5 + 0 + -4)**2.\nAnswer: -6622*sqrt(19) + 1721540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + -7 + (6 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*((-16686)\/(-432) + -48).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 4:26 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpqqppqpqpqqpqqqq. What is prob of picking 3 q and 1 p?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5380366 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a09c6c + -1?\nAnswer: a09c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**3*z**3 + 147331*x**3*z - 3336*x**2*z**3 - x**2*z**2 - 7*x*z wrt x.\nAnswer: -12*z**3 + 883986*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 9, 65, 175, 357, 629?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(5\/3)*k*k**(-1\/3)*k*k*k**(-7\/4))\/((k*k*k\/k**(1\/15)*k)\/k*k**2)**(-4) assuming k is positive.\nAnswer: k**(413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:05 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -269*w**2 - 235 wrt w?\nAnswer: -538*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 5:41 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*6\/(-8))\/(12\/104). Let w = -8.6 + 9. What is the nearest to -2 in 4, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*d + 141*d + 2*d**2 - 71*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -0.2, 40, -2 in increasing order.\nAnswer: -2, -0.2, 1\/9, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 2, 6 in descending order.\nAnswer: 6, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -34, -71, -130, -217?\n\"Answer: -m**3 - 2*m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.044 and -2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107501\/86 + 1250. Which is bigger: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29501.11961 - -29501. Let y = -767 + 766.881. Let x = y - v. Round x to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -78175.7723 to the nearest 1000.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4)*u)\/(u\/u**(-4)))\/(u\/(u\/(u\/u**(-6)))*u**(2\/9)) assuming u is positive.\nAnswer: u**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 43 = 3*t, -2*k + 18 = -3*t + t. Suppose 15 = k*x - 5*x. Is -2 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + 2*c - 2*c - 44*c**2 - 22*c**3 + 44*c**2 + (0*c - 3*c + c)*(-c**2 + 2*c - 2*c) to d + l*c**2 + q*c**3 + a*c and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:09 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 554242, 1108582, 1663128, 2217982, 2773246, 3329022, 3885412?\n\"Answer: 17*t**3 + t**2 + 554218*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143942, -287935, -431966, -576035, -720142, -864287, -1008470?\nAnswer: -1152691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338929?\nAnswer: 3, 86627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27564388 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 177 = -51. Suppose -4*c = 5*s + 64 + 54, -3*s + 129 = -5*c. Let w = c + v. What is the remainder when 43 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 + 5*y + 11. List the prime factors of f(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9941.\nAnswer: 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 1.96. Let u = -68043\/5 - -13493. Let c = u - -116. Which is bigger: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 304.4505 litres?\nAnswer: 304450.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 95 = -3*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41373867 rounded to 4 decimal places?\nAnswer: 0.4137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516352 is divided by 1739.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/81)\/(4\/6). Let d = 11\/9 + w. Let o be 2\/7 + 44\/140. Put d, -5, o in increasing order.\nAnswer: -5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let j(a) = -3*a + 6. Suppose b = 6*b + 5. Let v(w) = b*j(w) + 2*p(w). Let c(t) = -3*t**3 - 2*t**2 - 2*t - 1. Let g be c(-1). Calculate v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1967 + -1963. Solve -2*v - 5*n + 22 = 0, -3*v + 0*v + p*n = 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**30\/(x\/(x\/(x*x*x**35\/x*x))*x))\/(x**40\/x*x*(x*x**(-13))\/x) assuming x is positive.\nAnswer: x**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426502823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shz when three letters picked without replacement from qeyzqsh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:59 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 45*d + 37. Let j(z) = -224*z - 186. Let y(h) = -16*f(h) - 3*j(h). Differentiate y(t) wrt t.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*l + 12 = r, -3*l = 3*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-394)\/(-5319) + (104\/54 - 2). Let q be (44\/90)\/((-2)\/(-6)). Is b < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -1875, -6448, -15317, -29880, -51535, -81680?\nAnswer: -121713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 39, 77, 111, 141?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -28716563\nAnswer: -86149689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-3)\/((-6)\/(-4)). Suppose 0 = -z*m + 32 + 32. Suppose 0 = -5*r + r + m. Solve -r*k - 20 = -4*w, 2*k = 3*w + 8 - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 - 80*c - 6. Let i be r(-11). Solve -5*w + 20 = 0, -i = 4*t - t - 3*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 0*f + 0*f + (3*f - 3*f - f)*(1 + 2 + 1) - 1 + 5*f + 1)*(121*f**2 + 67*f - 67*f) to the form g + y*f + p*f**3 + w*f**2 and give p.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*a - 100*a + 6*a + 13 + 33*a - 128*a.\nAnswer: -324*a + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f\/(f*(f*f**(3\/17))\/f)*f))\/f)**47)**(-20) assuming f is positive.\nAnswer: f**(45120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + -4 + 1 + sqrt(539).\nAnswer: -8 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from hihnphzhiipq?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 476 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 10. Let s be q(5). Solve 5*m + 4 + 11 = s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 12 = -3*d. Suppose 0 = -3*r + 5*z + 39, -d*z + 4 = 2*r - 0*r. Calculate the remainder when 22 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(16\/(-35) + (-12 - (-756)\/60)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 418 - 410. Solve d*f + 12 = 12*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-4\/5)\/(l*l*(l\/l**(1\/2))\/l)**(8\/3))\/((l\/l**2*l)**19*l**(-1)*l*l*l**(5\/3)\/l) assuming l is positive.\nAnswer: l**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.45 (c) 5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and (-63)\/(-4)*-2 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) - sqrt(10)\/(sqrt(2)*-2)) + 3.\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553171, 1106340, 1659509, 2212678?\nAnswer: 2765847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12. Let x = 941 + -948. What is the second smallest value in p, x, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 92?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1) + (-6 - -2). Are n and -3\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187310542 to the nearest integer?\nAnswer: 13686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**5\/20 - 5*p**4\/12 - 4*p**3\/3 + p**2\/2 - 3*p. Let a be (4 - 80\/35)\/(2\/7). Give z(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -35*h + 32*h. Suppose h*a - 5*s - 290 = 414, 3*a = s + 1030. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -6. Let w = -1.64 - -0.04. Let v = w - -2.1. Which is the second smallest value? (a) v (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -g + 10, 2*z = -2*z + 20. Let s(i) = 2*i - 5. What is the remainder when 8 is divided by s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6567.7 + 6568. What is the third biggest value in -1, -68, -0.5, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -132, -151, -182, -231, -304, -407, -546?\n\"Answer: -f**3 - 12*f - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -7372.\nAnswer: 1\/7372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -66.885. What is k rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319 + -315. Let g(z) = -3*z**2 - 5*z - 5. Let s(w) = -2*w**2 - 4*w - 4. Let y(b) = r*g(b) - 5*s(b). Let f(i) = -83*i. What is y(f(m))?\nAnswer: -13778*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1448240 divided by -181030\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1192 + 1196. Let a = -8.89 - -9. Which is greater: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89944 times 145?\nAnswer: -13041880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407740 and 719872.\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 0*m - 2*a, -3*m + 2*a = 0. Suppose -y = 2, m = -c + 2*y - 3*y. Solve -5*h + c*s + 10 = 0, 0 = -4*s + s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((15\/(-10))\/(12\/16))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 + 4*o**3 - 3*o - 2 + o**3 in the form q*o**3 + p*o**2 + b*o + f and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j. Let r(k) = k**2 + 3*k. Determine -6*n(s) + 7*r(s).\nAnswer: 7*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 1. Let y(n) = -n**2 + 18*n. Let o(a) = -2*d(a) + y(a). Let x be o(9). Suppose p + j = 22, 4*p - x = j - 2*j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4505672, -9011334, -13516996, -18022658, -22528320, -27033982?\nAnswer: -31539644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 2, u: 1, h: 4, j: 1}. Give prob of picking 1 u, 1 j, 1 o, and 1 y.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.9419 + -0.0581. What is the third smallest value in b, -2\/21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - p - 35, 57*p = 60*p + 9 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:11 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, u: 1, o: 1, c: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292482081?\nAnswer: 3, 29, 47, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64\/126 - (6\/21 + 0)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -2. Let l = w - -70. Solve -3*s + 0*s - 9 = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + 2*m**2 + 3*m + 14. Give x(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5562695, -11125377, -16688061, -22250747?\n\"Answer: -t**2 - 5562679*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -633872.3302 rounded to the nearest 100?\nAnswer: -633900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 + 3*b - 3. Suppose -2*i = 3*g + 16, 4*g - 7 + 31 = -4*i. What is the lowest common multiple of 4 and s(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -49, -72, -83, -70, -21, 76, 233?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-3) - 1\/4*20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, q: 8, a: 8, i: 1}. What is prob of picking 2 q, 1 i, and 1 x?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 88 = -11*g + 7*g, 4*g + l - 88 = 0. Calculate the lowest common multiple of g and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 2*w**3 + 0*w**3)*(w - 3*w + 3*w) + (0*w**3 - 2*w**3 + 4*w**3)*(-19*w - 11*w + 12*w).\nAnswer: -38*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 9*y**2 - 3*y + 13. Let v be (-2 + -1*10)*1. Let x be m(v). Let r = x + -328. What is the greatest common divisor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let r(l) = -2*l - 4. Suppose 4*y - 7*y - 9 = 0. Let a be r(y). Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.9 + -14.9. Let z(r) = r**2 + 7*r - 12. Let c be z(-8). What is the second biggest value in o, 3\/5, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1827 - 1827. Let d(u) be the second derivative of -1\/51*u**3 - 2\/17*u**2 + t + 1\/102*u**4 - 4*u. Factor d(z).\nAnswer: 2*(z - 2)*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.5. Suppose 2*a - 6 = 0, 4*a = 3*c - a + 6. Put k, c, 0.3 in descending order.\nAnswer: c, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90510 divided by -70\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442487, -442485, -442483, -442481, -442479?\nAnswer: -442477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 18) + (32 - (-32 - -18))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*r + 738 = 3*h, 2*h = -r + 738. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d - 2. Suppose 9*k = 10*k - 2. What is n(k)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/5 - n**4\/8 - 16*n**2. What is the second derivative of z(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01225863 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12)*-3*(-1)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jpjjpjpjpjpjp.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 60311933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363037209?\nAnswer: 31153, 43753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-108)\/504*119?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - 6*w + 7. What is the remainder when a(3) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-15))\/((-4)\/(-10)). Suppose -m - 284 = -5*i, 0 = -z*i + 6*m - 5*m + 172. Calculate the remainder when i is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67835468?\nAnswer: 2, 131, 129457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096400708 rounded to 5 dps?\nAnswer: 0.0964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 180078320*y + 4053525166752800.\nAnswer: 2*(y + 45019580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 1, u: 1, r: 6, l: 3, x: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 208, 798, 1780, 3154, 4920, 7078, 9628?\n\"Answer: 196*w**2 + 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2026*j**2*k**2 - 5772*j**2*s - 15*j*k**2*s + j*s + s wrt k?\nAnswer: -4052*j**2*k - 30*j*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21838490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/((-24)\/4)*5*(-7)\/21. Sort -3, 20, d, -1.\nAnswer: d, -3, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31112805*z**2 + 154148550*z wrt z.\nAnswer: -62225610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14187*q + 14187*q + 0*q**3 + 11*q**3 - 6*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909155?\nAnswer: 5, 23, 41, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/6*r**2 + 1\/6*r + 1\/3 = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 6:52 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g - 289. Let s be -30 - -28 - (-33 - -8). Calculate b(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 1?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2326385900 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41\/5 - 364\/45. Is n at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by ((-258)\/172)\/((6\/124)\/(-1)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 18*s. What is the thousands digit of a(49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 389 (b) 4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(5 + -3*-1*sqrt(1053)))**2 + -4.\nAnswer: 972*sqrt(13) + 37985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 18 - 4. Suppose 5*i - 323 = -4*y, 0 = 2*i - 5 - o. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 9527 = 15*p - 5*s, 4*s = -4*p + 19036. What are the prime factors of p?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 90*r**4 - 25*r**3 + 55*r. Let a(c) = 15*c**4 - 4*c**3 + 9*c. Let u(x) = 25*a(x) - 4*n(x). Find the second derivative of u(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*k + 2*k = 1813, 2*w = 4*k + 926. Suppose -2*c = -a - 3*a - 244, -140 = -c - 4*a. Suppose -d - c + w = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66 or 403\/6?\nAnswer: 403\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-200)\/(-2))\/((-20)\/(-112)). What is the greatest common divisor of 518 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/9)\/(-5*(-20)\/(-192)) + (-1114)\/(-13925).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lohoxxooo. What is prob of sequence xo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43706, -87843, -131974, -176099, -220218, -264331?\n\"Answer: 3*v**2 - 44146*v + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 257667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 619*v + 3095. Let g be m(-5). Sort -13, g, 1, -1, 6 in ascending order.\nAnswer: -13, -1, g, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b + 3*g, 0*b - 4*g - 12 = -2*b. What is the remainder when 45 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*(6\/(-63))\/((-17)\/969).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 6029*j + 36182. Determine r(6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357949846.\nAnswer: 2, 178974923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 258 = 3*d, -3*h = 5*d - h - 430. Suppose -59 = -5*v + d. Calculate the remainder when v is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 3*d**2 + 1. Let w(u) = -11*u**3 + 10*u**2 - 6*u**3 - 4 - 5*u**3 - 7*u**3 + 21*u**3. What is -3*w(t) - 10*x(t)?\nAnswer: -6*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50519789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 8*a - 4. Let l be o(-7). Solve -p = -5*p, l*c = -5*p - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*f - 8 = 0, 0*j + 5*j + 4*f - 36 = 0. Let r be 2\/j - 1\/4. Let d = 5 + -10. Which is the biggest value? (a) d (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 20 = 3*x - 30*g, -2*g + 12 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s + 4. Let d be b(8). Suppose 0 = -0*o + 2*o - d. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghhf when four letters picked without replacement from {h: 6, f: 7, g: 2, b: 1, k: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 7.1 (b) -2 (c) 0.3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d5a5 (base 14) to base 5.\nAnswer: 32023133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from eeegeegeeggeegpeepj.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 8*y**2 + 3. Let b be i(-8). Suppose b*m + m = 16. Let p be (7\/m + -1)*4. Solve 6 = -2*z - p*u + 2*u, -4*z + u - 24 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 - -173. Let h = q - 75.9999934. What is h rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13535 is divided by 183?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 + 43 - 40 - 3.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 22*g - 1743. Let r be n(79). Let u be ((-2)\/(-4))\/(2\/1536). List the prime factors of (r\/4)\/((22\/u)\/(-11)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 1479143 = -22*k + 5*l, 3*l = -2*k + 739571. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from {k: 2, i: 1, a: 4, h: 2, z: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**3 + 6*z - 7. Let i(f) = -9*f**3 - 11*f + 11. What is -3*i(h) - 5*n(h)?\nAnswer: 2*h**3 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 17*g + 43. Let u(s) = s - 10. Let c be u(-9). Let o be j(c). Suppose 266 + 619 = o*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 54. Suppose 5*o = o + 216. Let q(d) = -49*d**2 + 98*d**w - o*d**2. Let l(y) = -2*y**2. Give q(l(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*l**4 + 395*l**4 + 158*l**4 + (-l - 2*l + 5*l)*(-4*l - l**3 + 4*l) - 3*l**4 + 2*l**4 - 4*l**4.\nAnswer: 643*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/8 and (-1)\/6*(-54)\/(-48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12001243 and -132013675\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3)\/(6\/3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 699, 1555, 2751, 4287, 6163, 8379?\nAnswer: 10935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 3*c**2 + 7*c - 7. Let b be j(4). Suppose -24*s + b*s + 38 = 0. Let o(z) = 4*z**3 + z**2 - 2. Give o(s).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:05 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 3*c + 7. Let n be q(6). Let y = 4 - n. Suppose 0 = d - y - 5. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**6\/6 - 179*i**5\/5 + 40*i**3\/3 - i**2\/2 + 236. Find the third derivative of h(p) wrt p.\nAnswer: -60*p**2 - 4296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*m - 10 + 40, 5*m - 10 = -3*u. Let z = 17 + -20. Let j = z + u. Solve j*n - 2 = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2402 - -244104?\nAnswer: 241202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0 - 1\/60*r**5 - r**4 + 0*r**3 + 2*r**2 + 0*r. Let l(p) = -p**2 - 8*p**2 + 10*p**2 + p**2. Determine l(q(z)).\nAnswer: 2*z**4 + 96*z**3 + 1152*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*y = -90, 5*k = -5*y + 3*y - 190. Let p be 2\/10 + (-112)\/k. What is the nearest to -0.1 in 1, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15931\/4 - 3960. Let w = x - 23. What is the third smallest value in 1\/4, -3\/7, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000202410836 to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12729, 12726, 12723, 12720, 12717, 12714?\nAnswer: 12711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 10*a**2 - 8*a - 4. Let z be t(9). Solve -3 = -5*i + 4*f, -2*i + 9 = -4*i + z*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 34*d**2 - 105*d - 64. Is p(-23) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 plus -8.577628?\nAnswer: 82.422372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/10 + -1)\/(158\/395). Let u = 0.1 + -0.6. What is the closest to -0.4 in y, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 54*v + 57.\nAnswer: -3*(v - 19)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 + 4*t**2 + 6. Let y(u) = u - 5. Let r be 12\/(-3)*-2 - -1. Let n be y(r). Let q(j) = -j**3 - j**2 - 1. Determine n*q(p) + i(p).\nAnswer: -2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*h + 7, -h + 2726 - 2731 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 + 258. List the prime factors of t.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4613668*v**3 + 4*v**2 + 69956817 with respect to v.\nAnswer: -13841004*v**2 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 34. Let s be r(15). Suppose 2*v - 12 = -s*v. Put 14, v, 5 in descending order.\nAnswer: 14, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 67868344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111021 (base 3) in base 15?\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29b4 (base 13) in base 4?\nAnswer: 1132232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/35)\/((-4)\/182))\/((-2)\/(-1))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 + (-1 - 4)) - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*a**2 - 65*a**2 - 13*a**2)*(0 + 0 + 3*a) + a**3 - a**3 + a**3.\nAnswer: 103*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 6. Let d = o - -9.7. Let f = 0.699999 - d. What is f rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111110010000 (base 2) in base 9?\nAnswer: 62026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from fnfnnoqfnwwwffw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (5 + -1*2). Let i(s) = -10*s - 2. Calculate the lowest common multiple of i(t) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**9\/5040 - p**8\/2240 - p**7\/840 + p**6\/240 + p**4\/24 + 42*p**2. Let c(n) be the second derivative of w(n). Factor c(k).\nAnswer: 3*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 9\/((-18)\/32) - 28.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22896*q**4 + 24893*q**2 wrt q.\nAnswer: 549504*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -38*z**2 + 718*z + 76 = 0?\nAnswer: -2\/19, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 27 = -5*q, -4*h + 10*q = 11*q - 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 12. Suppose -y + 2*y = -9. Let a be h(y). Let w(m) = 4*m - 7*m + a*m - m**2. Let t(s) = 4*s. Calculate t(w(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*j + 90, 2*j - 24 = j + 2*i. What is the remainder when j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 7. Let m be z(-5). Suppose j - 2*f - m*f + 12 = 0, 12 = 3*f. Solve -y + 11 = -3*d - 1, -21 = -3*y + j*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 (base 11) in base 8?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*8*(-18)\/(-96).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 14\/6)\/((-98)\/(-21)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 963890424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -4. Let z(d) = 2*d**2 + 5*d + 132. Let y(k) = 12*k**2 + 24*k + 638. Let j(w) = 6*y(w) - 29*z(w). Determine j(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 13 = -r + 45, 2*z + 3*r - 62 = 0. Calculate the remainder when z is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*j**2 - 4490792*j + 8981539*j - 4490747*j.\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:35 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 330\/(-82) + -316 + 320?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 4. Suppose -11*n + 6*n - 15 = g, -8 = -3*n - 4*g. Sort r, -3, n, 4.\nAnswer: n, -3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**3\/3 + 17*c**2\/2 + 3*c + 2911. What is p(12)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 11, 18, 25?\n\"Answer: 7*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.69573 millennia in centuries?\nAnswer: 176.9573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/3 - -16\/15. Let h = -3145.945 + 3158. Let y = h - 0.055. Which is the smallest value? (a) w (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 + 56*d + 84. Let q be w(-6). Solve q = -736*k + 734*k + 14 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**6\/360 + b**3 + 2. Let f(v) be the third derivative of h(v). Let t(o) = 4*o**2. Determine t(f(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j - 7. Let d be f(4). Let s = d - 10. Let y(p) = 5*p - 1. What are the prime factors of y(s)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20427, 40855, 61281, 81705, 102127, 122547, 142965?\n\"Answer: -t**2 + 20431*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247276 greater than or equal to 247275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 76*y - 39*y + 2*y**2 + 2*y**4 - 35*y - 3*y**3 as h*y**2 + g + o*y**3 + b*y + p*y**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o - 5*q = -57*o, -2*o + 4*q = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - 12. What is q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w - 2*x + 8546, w - 4277 = -3*x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*k = 1099869 + 14929391. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3\/4 - 27497*f**2 + 1540420*f - 21568624 = 0.\nAnswer: -110044, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/220 and 59\/92840.\nAnswer: 92840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. What is the remainder when 18 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 28 = -0*o. Solve 15*c - 16*c = -3*n - 2, -c = -o*n - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 22. Suppose -n = -5*s - 15, -n - x = -2*n + s. Solve -4*f = -g - 8, n*g + 5*f - 44 + 9 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 5. Let l be q\/7 - (-20)\/(-28). Let p(d) = 4*d - 3. Let x be p(-1). Are x and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 821202?\nAnswer: 821202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkm when three letters picked without replacement from jmkccj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 128.0261 meters?\nAnswer: 128026.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 7\/11, 8399 in descending order.\nAnswer: 8399, 2\/3, 7\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2860 and 512512?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7781217 and 2699?\nAnswer: 2699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine quarters of a minute?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1802)\/(-636)*(-6)\/(-68).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 29. Suppose 0 = 5*g - p - 3. Suppose y + 10 = -y - 4*s, y = 3*s + 15. Solve -6*t - 2*a + g = -y*t, 2*t - 33 = 5*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*d - 290 = 329*d. Suppose 59*l - d*l = 697. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mccd when four letters picked without replacement from dcmdmccccccddcd?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-21))\/(-2 - (-6 - -6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2119 by 2119.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(170)\/sqrt(90)*-2 - ((sqrt(85) - -4*sqrt(85))\/sqrt(5)*-4)**2).\nAnswer: -13600 - 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -14 - (97 - 114). Solve 2 = 3*u - t, 14 + 9 = -3*u - n*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + 2*n**2 - 1. Let a be (-4)\/(-16) + 6\/8. Let r be t(a). Suppose -7*w - 4*y + 77 = -2*w, -59 = -3*w + r*y. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + 364\/(-26) - 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4361090 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by ((-153)\/(-6))\/((-33)\/(-66))?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4679*j**2 - 1 + j**3 + j - 2345*j**2 - 2335*j**2. Let s(v) = -7*v**3 + 5*v**2 - 12*v + 7. Give -5*h(l) - s(l).\nAnswer: 2*l**3 + 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*p - 2*v, -p - 4*v - v + 34 = 0. Suppose 0 = -4*f + 2*j - 5 + 3, 2*f - p = 3*j. Is -3 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*m + 4*f + 15, -2*f = -4*m - 6. Let o be 0 + 0 + m - -8. Let r(z) = 10*z + 3. What is the remainder when r(o) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6020, 1, 2, 2\/11, -4, 4, -1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(1 - (-1)\/2). Is (4\/a)\/(1\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.89 + 9. Let v = 0.02 - n. Round v to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c - 1 + 7*c - 33*c + 3.\nAnswer: -50*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1244\/21 + 410\/7. Which is the closest to -0.2? (a) o (b) 3\/2 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740792650.\nAnswer: 2, 5, 13, 1139681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 468 = 2*c, 4*c - 938 = -0*t + t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68018 divided by 4\nAnswer: 34009\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40048 less than 32804655?\nAnswer: 32844703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*d - 630, 4*w - 380 = 2*d + 880. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15 - -25928718364626.\nAnswer: 25928718364626.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.55 - 4.55. Let u be (-54)\/10 - (-4)\/10. Which is the third biggest value? (a) u (b) 6\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 681, 1023?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -c + 74. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0 + 1\/12*v**4 + 0*v + 0*v**3 + 6*v**2. Let w(u) = 82*u**2. What is w(n(o))?\nAnswer: 328*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3 + sqrt(1372) + sqrt(1372) + (sqrt(1372) - -2*sqrt(1372)) + sqrt(1372) + 0)**2 + -2)*-6.\nAnswer: -296364 + 2016*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121901\/14 - 8711. Let j = 236 - 146. What is the common denominator of (-76)\/6*j\/(-48) and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*v = 35 + 10, 0 = -50*s + 5*v - 570 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/3 + 368*u\/3.\nAnswer: 4*u*(u + 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*c = 12, -4*c + 837 - 821 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -15682570\nAnswer: 15682566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37.760041 and -223.\nAnswer: -185.239959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-664)\/(-2369) - (-157 - 253190\/(-1610))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*9\/(-36)*10\/(-8). Solve n*l**3 + 1\/2 - 2*l**2 + 1\/4*l = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*3\/(-12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, 4, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:15 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 0 - 11 + 1 + 718*f**3.\nAnswer: 718*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*478.45\nAnswer: -956.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 11:14 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/3 - 482*g**4 - 76540*g**3 + 11644888*g**2\/3 - 20429360*g = 0. What is g?\nAnswer: -382, 0, 6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3987 - 1971. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*s = -14, -p - s - s = -8. Let g be ((-12)\/(-7))\/(-1*p\/14). Let c be (1\/g)\/(132\/32). Is 0.1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 1 - 3*m**2 - 2*m - 1\/3*m**3. Let b be f(-5). Solve 5*h + b*w = 4*h + 2, 4*h - 5*w = -9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 43\/5*i**5 + 0*i**4 - 32*i - 24 + 0*i**3 + 0*i**2. Find the first derivative of s(y) wrt y.\nAnswer: 172*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f*s**2 - 26*f + 6*s**2 + 64 wrt f?\nAnswer: 3*s**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**2 + 22*z**2 - 11*z**2)*(-3*z - 19 + 19) + (z - z**2 - z)*(4*z - z - 5*z).\nAnswer: -58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 - 678*k + 7848 = 0 for k.\nAnswer: 12, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-5)\/(-2))\/(-5)*4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3692791, -3692793, -3692797, -3692803?\nAnswer: -3692811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(2)*6.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q)\/q**(-2\/45) assuming q is positive.\nAnswer: q**(47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -31?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1915417, -1915406, -1915395?\n\"Answer: 11*r - 1915428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9247 - 7061. List the prime factors of s.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388370\/90 + 2\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 3}. Give prob of sequence ll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7 - 6)*(3*y + 0*y - 5*y).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -0.04, 0.2, 3 in increasing order.\nAnswer: -57, -0.04, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855571 (base 10) to base 12.\nAnswer: 353157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(475) + sqrt(19) + -4 + sqrt(1216).\nAnswer: -4 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -16. Let g = 36 - 36. Suppose 2*j - 10 = 5*q + z, -2*j + 4*q + 52 = g. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + 30 + (4\/(-18))\/(141\/(-5076))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-84))\/(1*(-5)\/120).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 618 = -3*p - 31, -20 = -5*x. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/11))\/w**(1\/6))\/((w**11*w*w)\/w**2) assuming w is positive.\nAnswer: w**(-659\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 - -0.1. Let i = -3.6 - -4. Let f = 6.7 - 6.6. What is the nearest to w in i, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8 + -1.4. What is the third smallest value in 4, o, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-50)*1\/12)\/((-1)\/(-1)).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 408, 999, 2140, 4011, 6792, 10663, 15804?\nAnswer: 22395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -81. Solve a + 1 + 0 = i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = -0*u. Let x be (-2)\/u - (-22)\/(-4). Sort -2, 5, x in increasing order.\nAnswer: x, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 2655. Let k(d) = d**3 - 13*d**2 + d - 13. Let y be k(13). Let h be x(y). Let o = -1336 + h. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1488347798 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1111 and -95\/64438?\nAnswer: 64438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(30\/(-2084)) - 4\/6. Calculate the common denominator of 77\/20 and (-35)\/7 - q\/160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 1)*(108 + 2*w - 148 + 0*w).\nAnswer: 14*w - 280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1196)\/414)\/(2\/3) - -5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*(-594)\/90 - 105*106\/1855\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23781915 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y. Let r(q) = -q. Let l(i) = c(i) + 5*r(i). Let k(x) = -x + 2. Let v(o) = 3. Let a(j) = 3*k(j) - 2*v(j). Determine a(l(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -12.2061 (c) -2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5 + 6*(sqrt(75) - (sqrt(75) + -2)) - (sqrt(75)*1 + -3)*-3) + -4)**2.\nAnswer: -180*sqrt(3) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 553, 549, 543, 535, 525, 513, 499?\n\"Answer: -o**2 - o + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**5\/30 + 5*g**4\/8 + 25*g**3\/6 - 2*g**2 + 1. Determine c(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - (-1335 + -2 - (0 - -3)). What is the highest common factor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 4*w + 3*a + 1 = 0, -4*w + 17 = -3*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-100*w**3 + 0*w**2 + 2*w**2 + 101*w**3)*(w + 2*w + 4*w) in the form u*w**4 + c*w**2 + v + i*w**3 + s*w and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 7080?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(3*c**3 - 6*c**3 - 12*c**3) - 2 - 13*c**3 + 9*c**3 - 8*c**3.\nAnswer: 18*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let z be (3213\/9)\/(-7) - 5. Let q be (15\/(-6) + 1)*z\/(-294). Sort 3, f, -1\/4, q in descending order.\nAnswer: 3, f, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/8 and 42\/32626873.\nAnswer: 261014984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**6\/45 + 5*m**3\/3 - 5*m + 41. Let r(d) be the third derivative of n(d). Let s(a) = -7*a. What is r(s(o))?\nAnswer: 392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let r(s) = 265*s. Determine w(r(m)).\nAnswer: -530*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 183810 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 461368 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 27*j**2 - 24*j = 0.\nAnswer: 0, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:29 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 84.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 4*j + 3. Let v be o(-4). Let u(t) = -4*t + 0*t + v*t - 3. Suppose 0 = 10*q - 8 + 38. Determine u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*t + 299*t - 14940 = -71007 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3970324.\nAnswer: 2, 73, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(sqrt(153) - sqrt(153)*1))\/(sqrt(9) + 1*sqrt(576) + sqrt(9) + (sqrt(99) + (sqrt(99) - sqrt(99)*-2) + sqrt(99))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 - -333. Let n(i) = i**3 - 17*i**2 - 16*i + 16. Calculate the remainder when r is divided by n(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11*f = 294. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -11*u + 24. Suppose 0 = -u*i + 4014 + 2046. List the prime factors of i.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1156 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 315*s - 3 - 161*s - 149*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39866246?\nAnswer: 2, 7, 43, 47, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 - 4.03. Let p = i + -0.170028. Round p to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 - 88. Let h = p - -45. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 22607133\nAnswer: 8\/22607133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -312, -622, -932, -1242?\n\"Answer: -310*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3 + 18. Let d = k - -10. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 > 107615242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3 - 69*v**2 = 0.\nAnswer: 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 5*l**3 - 190*l**2 + 1440.\nAnswer: 5*(l - 4)**2*(l + 3)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v**2 - 478*v - 333. List the prime factors of r(-57).\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83281.\nAnswer: 11, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7667)\/374)\/((-4)\/8).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. What is the third derivative of r**2 - 8*r**6 + 6*r**6 + l*r**4 - 3*r**4 wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 m, and 1 p when four letters picked without replacement from pjjjpppmpmjppmpp?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 23*f - 3. Let r be n(-3). Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1116.454cm to kilometers.\nAnswer: 0.01116454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 69*f**3 + 0 - 32*f**3 - 20*f**3.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 19\/5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)\/r)**(-49)*r**(1\/10)*r\/(r*r**15) assuming r is positive.\nAnswer: r**(4731\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -454, -1413, -3416, -6811, -11946, -19169, -28828?\nAnswer: -41271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67, 70, 73?\n\"Answer: 3*d + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 39*r - 2510 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32.78 and 0.8?\nAnswer: -26.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(1375)*-2 - sqrt(1375)) + sqrt(1375))\/sqrt(11) + 2))**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 14\/(-70)*10\/3*24\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - n - 4 = 15*d, 3*d - 4 = 2*n. Suppose -4*b = -4*t - 3*b + 114, 32 = t - 2*b. Calculate the greatest common divisor of t and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c. Let i(p) = -p**2 - 33*p - 187. Let z be i(-26). Determine a(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1651 + 175 = 4*u. Is -370 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 51 + -38 - (-1 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 7:27 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6184 and 0.4.\nAnswer: -0.2184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -23, 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.12 in -1, 5, -2, 3\/7, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -4, 0.033?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -41*r**2 + 2*r - 3. Let c(v) = -30*v**2 + 2*v - 2. Calculate -4*c(s) + 3*o(s).\nAnswer: -3*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-339)\/(164415\/(-388)))\/((36\/5)\/(-4))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823494?\nAnswer: 2, 107, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 38*u = -13*u - 168 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/3 (b) -3 (c) -1 (d) -0.22 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21*40\/4)\/(2\/(-12)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (261 - 264 - (1 + -12))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/13)*v))\/(v**(-6\/11)*v))**3\/(((v**(1\/10)*v)\/v**(-1\/4))\/(v**2\/v*v**0)) assuming v is positive.\nAnswer: v**(-3581\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpbpoonznznnnnobnk. What is prob of sequence nb?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19533 and 239292.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvgpa. Give prob of sequence up.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:49 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.380078 or 2?\nAnswer: -1.380078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 10*b + p + 6199, 5*p = 3*b - 18601. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 2*j - 3. Let r be v(-1). Let w(m) = 6*m + 5. Let z(h) = -25*h - 21. What is r*z(c) - 9*w(c)?\nAnswer: -4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**2 - 748*y - 82. What is the units digit of g(-41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72003879 to the nearest integer?\nAnswer: 8486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -21*x - 108 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - n**4 - 1710*n**3 - 2*n + 1712*n**3 - n**2 - 112 to g + d*n**2 + w*n**3 + m*n + h*n**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 2. What are the prime factors of w(4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38043928997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -54 (b) 1\/2 (c) -0.2 (d) 0 (e) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1291639531 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44446852 divided by -584827?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/18)\/(2*(-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2 + 2. Let g(d) = d + 6. What is the remainder when (-95)\/(-8) - 9\/(-72) is divided by g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.8, -1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2*l = -14, -4665*v + 2*l + 13 + 7 = -4669*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (-5 - -14)*((-17)\/(-3) + 6\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68076\/72468*(-99)\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.7344892 to two dps.\nAnswer: -14.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z**2 + 2*z**2 + z**2)*(72275 + 72103 - 144723 - z**2) in the form n*z**3 + t*z**4 + b + m*z**2 + r*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -293336.9121 rounded to the nearest one hundred?\nAnswer: -293300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 0*w + 123 - 142)*(-2 + 2 - 1) in the form m + n*w and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/((-44)\/(-8) - 4). Suppose 3*x - 3*o = w + 27, -3*o = 2*x - 10. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.0029 rounded to zero dps?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1223, -9812, -33115, -78488, -153287?\n\"Answer: -1226*z**3 - z**2 - 4*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/33 or 2\/289?\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 322817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.62 + 1.61. Sort 0.2, p, -2\/15 in decreasing order.\nAnswer: 0.2, p, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1307*b**3*n**3 + b**3*n - 11681*n**3 wrt b?\nAnswer: 3921*b**2*n**3 + 3*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 1, 2\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/((-3)\/(-7))*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7559, 15110, 22641, 30146, 37619, 45054, 52445, 59786?\n\"Answer: -u**3 - 4*u**2 + 7570*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7298 - 6799 = -184*v + 6617 + 5842 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 5415*u**2\/2 - 86881*u\/2 + 81465\/2.\nAnswer: (u - 15)*(u - 1)*(u + 5431)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -68. Suppose 3*s + 21 = 81. Let x = s - z. Is x != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, -0.16, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 38*h - 154. What are the prime factors of y(33)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13322012*v - 3196 = 13322059*v for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-189)*455\/(-780)*(-5)\/(5\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -36*a. Let i(m) = 28*m. Give i(w(n)).\nAnswer: -1008*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*q**4\/7 + 1072642*q**3\/7 - 134016*q**2\/7 - 4290568*q\/7 + 536320\/7 = 0. Calculate q.\nAnswer: -2, 1\/8, 2, 67040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 319 + -3?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39268067 to the nearest integer?\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8240299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.07.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.066 - 0.028. What is c rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*394.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.17758+0.4\nAnswer: 0.22242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 + -50. Let o(s) = -s**3 - 6*s**2 + 5*s + 9. Let b be o(-6). Let n = b + f. Is n less than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1069 or -1274?\nAnswer: -1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2766180 or 2766181?\nAnswer: 2766180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50541 by -14.\nAnswer: 50541\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250.87 - 46.97. Let a = -204 + m. Suppose -4*n - n = -4*h - 32, -2*n - 4 = 4*h. What is the closest to a in n, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1592 + 9280. Let b = v + -583. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20247 and 1266033?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 54*y**2 + 10*y + 34. Let x be r(8). Suppose -4*h = -6*h + 4*z + x, -4*z + 8869 = 5*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a9 (base 11) in base 2?\nAnswer: -111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459304 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2019\/8 - -252. Which is the biggest value? (a) -0.4 (b) -1\/2 (c) -1\/4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -13. Let t be 80\/12*r\/(-10). List the prime factors of 46\/(-5)*t\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/45)\/(2\/72). Let t(f) = 21*f**3 - 12*f - 6. Let v(i) = -i**3 + i + 1. Let w(p) = g*v(p) + t(p). What is the first derivative of w(z) wrt z?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705*a + 15312 = 51*a - 60*a. What is the remainder when 36\/(-15)*(-1 + -34) is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 15, -4*n = -2*q - 12 - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000850247 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*v**2 + 48*v**2 - 951*v**3 - 69*v**2 + 768*v wrt v.\nAnswer: -5706*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12181, 24527, 37035, 49705, 62537?\nAnswer: 75531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4 - 4*i**3 + 5*i**3 - 2. Suppose -8 + 0 = -4*q. Suppose -3*h - 12 = -4*r + 8*r, q*h - 5*r - 15 = 0. Calculate x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0125 and 0.35?\nAnswer: 0.3625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*s*t**3 - 9*b**3*s*t - b**2*s*t - 4*b**2*t**2 - 353*b*s*t**3 + 4*b*s + 2*b*t**2 - 39*s*t**3 wrt t.\nAnswer: 12*b**3*s - 2118*b*s - 234*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4489*q**2 - 3200658*q + 713.\nAnswer: (q - 713)*(4489*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y - 6. Let f be h(5). Let j(k) = -k**2 + 9*k - 16. Let d be j(9). Let o = d + f. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5466 at most as big as -5465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86458 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - a + 8 + 9 - 3 to the form d + w*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13237, -13239, -13241?\nAnswer: -13243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/698540 and 103\/5658174.\nAnswer: 56581740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 3*k + 11 = k - 4, 0 = 4*w - 2*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*6\/(-36)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -129*q**4 - 7867*q - 6981. Differentiate j(z) wrt z.\nAnswer: -1548*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/107588 and 19\/1969688.\nAnswer: 25605944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395785620 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*13.6.\nAnswer: -122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1052 and 178051?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2230 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u + 69. Let q be i(9). Which is the smallest value? (a) -1\/4 (b) 289 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/115*(-760)\/24.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 8. Let q be 4\/(-3)*117\/26. Let v(m) = -3*m - 7. Determine q*n(l) - 7*v(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -11.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 112*y**2 + 464*y - 30910. Give p(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1002?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 - 86*q**2 + 8694*q - 71442.\nAnswer: 2*(q - 189)**2*(q - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llpplpp. What is prob of picking 4 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let z(v) be the third derivative of -2*v**4\/3 + 7*v**3\/6 - 41*v**2. Let n(g) = -5*y(g) - z(g). Give n(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 325 (base 7) to base 3\nAnswer: 20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92, -683, -2246, -5267, -10232, -17627?\n\"Answer: -81*n**3 - 24*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609221 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 + -6. Let c = 30 + -28. What is the nearest to 1 in c, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2097)\/693 + 3)\/(5\/35)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 477751470, 477751467, 477751462, 477751455, 477751446?\n\"Answer: -v**2 + 477751471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*s - 31455, 13*s - 20969 = -2*o + 16*s. What are the prime factors of o?\nAnswer: 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 23.24. What is c rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - -1.07. Suppose 5*w - 5*w = -5*w. Let b be 0 - w*(3 - 2). What is the second biggest value in b, 0.2, r, 15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51 + -26ce?\nAnswer: -267d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - v + 2*v + 2*v. Let c(k) = 7*k**2. Give c(j(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2469a6 + 1?\nAnswer: 2469a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1246 * 0.4\nAnswer: -0.04984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let q = -23 - -73. Let c(m) = -50 + q - m. What is c(w(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 10 + r**2 - 8*r + 5. What is l(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 1528*h**2.\nAnswer: 1528*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8190*w - 8284*w - 1880 = 0 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 15*c**2 + 451*c + 1704. Calculate g(-4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2001774 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162.4 - 131. Let o = j - 35.4. What is the nearest to o in -2, -5\/3, -2\/19, -1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -64. Let i = -275\/3 + 94. Are j and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1788*i + 2 + 2*i**2 + 887*i + 5*i**3 + 897*i + (5*i - i - 2*i)*(-13 + 5*i**2 + 13).\nAnswer: 15*i**3 + 2*i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9353, -9344, -9335?\n\"Answer: 9*x - 9362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 263 and 4?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6710 and 8075180.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72771692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 10*q**2 - 14*q - 43. Let y be a(-9). Suppose 4*f + y*l = 5*l + 542, 5*f - l - 672 = 0. Calculate the remainder when f is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 15 = j. Let r = 6 + j. Suppose -2*u + 2*x + 6 = 0, -r*x - 1 = -u - 0. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 7 + 2 + -41 - 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/(10\/30). Let z be 0*(0 - v\/4). Is (622 + z)\/(4 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -36.7. Let a = -3.69619 - r. What is a rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -3 + -4 + 1 + -4. Let d(o) = -o**2 - 2*o**3 + o**3 + 6*o**2 + 3. Let r(p) = -4*p**2 + p**3 - 1 + 2 - 3. Calculate l*d(g) - 5*r(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2587*l. Let u(s) = 2*s**2 + 19. Determine n(u(j)).\nAnswer: -5174*j**2 - 49153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -787558, 5, -5, -2, 31 in ascending order.\nAnswer: -787558, -5, -2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3240 and 1620.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59002.3 litres in millilitres?\nAnswer: 59002300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*d + 7, 2*k - 6 = 5*d - 6*d. Solve k*z = -0 + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:57 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 - 124 - 178*s to o + q*s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -224128, -223991, -223854?\n\"Answer: 137*q - 224265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18229 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from rzlrrzzzrrlrl?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 8, i: 1, g: 5, w: 2}. What is prob of picking 2 h and 1 w?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1130*i + 496*i - 469*i - 1338*i to the form c*i + b and give c.\nAnswer: -2441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395\/4 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-22) - 1) + (-3068)\/(-143).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8)*-1 - 27\/(-12). Find the third derivative of 12*h**6 + 0*h**6 - 17*h**2 - 6*h**2 - h**v wrt h.\nAnswer: 1440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/4 - (-2 - -1). Suppose -h*s = -0*s - 102. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 58*q - 119. Let f be r(-31). Solve 5*d = 2*w - 0*d - f, 0 = 2*w - 2*d + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.61 - 0.01. Let l = -0.2 + s. Let a = -2 + l. What is the closest to 1\/5 in a, 1, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44304 (base 5) to base 6.\nAnswer: 22131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 2:10 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/56*-4*114\/10.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*v - 47 = -2*c, -19 = -3*c - 2*v. Let p(r) = -r**2 + 9*r - 1. Calculate p(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -141035, -282072, -423109, -564146, -705183, -846220?\n\"Answer: -141037*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-30) - -5) + 16\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let n be 2\/(-4)*(-12 - -6). Let j(r) = 5*r + 6*r - 3*r - n*r. Determine w(j(d)).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 - 13*t - 4. Let r = -77 + 67. Let u be y(r). Calculate the common denominator of (7 - (-306)\/(-42)) + u\/(-175) and -15\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 - 5*a + 7. Let p = -34071 - -34067. Calculate x(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(130) - (sqrt(130)*-1 - sqrt(130))))\/((-1*sqrt(490) - sqrt(490)) + sqrt(490) - -1*sqrt(90)).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-5))\/(2359\/70). Let s = 25965\/1348 - b. Let r = 21\/178 + -516\/979. Find the common denominator of s and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141 + (-149 - 19) + -85?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 5*g + 5. Let y be w(-5). Suppose -2*z - y = x - 6*x, 0 = 2*z + 3*x - 19. Suppose 0*n = -z*n + 15. Solve -n*o = -i + 6, o - 4 = 2*i - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + g**2 + 5*g - 2*g**2 + (-3*g + 5*g - g)*(-4 + 4 + 5*g).\nAnswer: 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (sqrt(833) + -1)*-4) + sqrt(833))*1 + (sqrt(833)*-2*-4*3)**2 + 5.\nAnswer: 42*sqrt(17) + 479809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76) + (sqrt(76) + 0 - sqrt(76) - sqrt(76) - sqrt(76)))**2 + 2.\nAnswer: 8*sqrt(19) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -61 (c) -3 (d) 0 (e) 107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 992355839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3206? (a) 1 (b) 13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 8*g. What are the prime factors of c(11)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/((3 - 7) + 2 - -3). Suppose -60 = -16*a + g*a. Suppose -32 = 3*p - 5*p. What is the least common multiple of a and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*q + 34, -5*q = 7651*a - 7656*a - 15 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-805*y + 3637*y - 704*y + 6641*y + 1765*y + 2832*y)*(-6*y + 6*y + 7*y).\nAnswer: 93562*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-1)\/2*2). Suppose 3*u - 15 = 4*q - 0*q, -5*q = -4*u + 20. Suppose 14 = u*c - 1. Solve 0 = -f*w + c - 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {w: 1, q: 1, e: 2, m: 1, f: 1, y: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.38281 take away 14960086?\nAnswer: -14960067.61719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 179475 (base 12) to base 9\nAnswer: 684618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -579*b**2 - 7*b**3 + 606*b**2 - 2265 + 2659 with respect to b.\nAnswer: -21*b**2 + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5 + 314*z**4 - 12478*z**3 + 11854*z**2 + 12480*z - 12168 = 0.\nAnswer: -1, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111198, -222396, -333594?\nAnswer: -444792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231.4 - -231. What is the closest to 2 in 0, v, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.022885501 - -0.3.\nAnswer: 0.277114499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2429*x + 334. Is t(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k**9)*k*k)\/k**9*(k**(1\/4))**(-24) assuming k is positive.\nAnswer: k**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (2 + -6 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -405*g - 9222. Determine s(-23).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -73*s - 512. Determine d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -1\/6, 5, -58.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/9)\/i*i*i\/((i*i*(i*(i*i\/(i\/(i\/i**(-14))))\/i*i)\/i*i*i)\/i)*i)**11 assuming i is positive.\nAnswer: i**(-1562\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h + 1. Let l(q) = q**2 + 4*q + 1. Let f be l(-4). Is s(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 23 = -35 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121202 - 10021210?\nAnswer: -2200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a7cc (base 13) in base 12?\nAnswer: 67739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114284467*n**3*o**3 - 71099019*n**2*o**3 wrt n.\nAnswer: 685706802*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*z = 61*z - 144. Sort -7, 27, z.\nAnswer: -7, z, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 27 = 3*d, -2*u + d + 13 = -6. Suppose 4*o + u = -18. Let v(l) = 29*l + 3. Let t be v(o). Round t to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -54. Let a(c) = 40*c. What is the remainder when a(1) is divided by 1 + (o - -3 - -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694213961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5\/3, -1, -4, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891 divided by 297.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-20) + (-6)\/10. Let h be s\/(-2)*(1 + 1). Sort -1, h, -2 in decreasing order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 0.6 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2051 + 2004.9. What is a rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00419 rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 + 0.025?\nAnswer: 831.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -36. Suppose 3*y = 3*r - 23 + 2, 0 = -j*r - 2*y + 7. What is the second derivative of 10*s**r + 0*s**3 + 24*s - 32*s wrt s?\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1 (c) 25 (d) -2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-186)\/(-9))\/(-2 + 20\/12). Let i = h - -77. What is the remainder when 68 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -4 (c) 1 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -c + 3. Let k = 35 - c. What is the highest common divisor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 s when three letters picked without replacement from {s: 1, x: 1, c: 2, m: 1, h: 1, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251168 - 251168. Factor i*w + 24\/5*w**3 + 2\/5*w**4 + 0*w**2 - 2\/5*w**5 + 0.\nAnswer: -2*w**3*(w - 4)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*c**2 - 7*c**2 - 1932*c**3 - 31 - 4*c**2 + 29 - 10*c**2 in the form z + a*c**3 + u*c + i*c**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16399373989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 16. Let d be a\/21*14\/(-4). Suppose d*v - v = 0. Solve -3*b - b = 4*r, v = 5*r + 4*b + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6175053.\nAnswer: 3, 686117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 28797496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135691 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: Let u = -83 + 242. Suppose 0 = -3*y - u + 483. Does 27 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d (base 15) in base 6?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 392 + -394. Put m, 2, -5, -5\/6 in descending order.\nAnswer: 2, -5\/6, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*z)*(-134 + 189 - 115)*(-2*z + 3*z + 0*z + (0 + 3 - 1)*(0*z - 4*z + 2*z)) to the form t*z**2 + h*z + y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1442823028 to the nearest 1000000.\nAnswer: 1443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 182*b + 6945. Let r be t(129). Let v(f) = 19*f - 4. Let o be v(4). What is the greatest common factor of o and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 1. Let s be 4\/6 - (-10)\/(-5). Sort j, -5, s in descending order.\nAnswer: s, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 6:52 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2893701574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m + 763*m**2 - 4*m - 748*m**2 as a*m**2 + v + r*m and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(1900)*1 - sqrt(1900))) + 1.\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g + 5*g. Solve 7*h - 6*h + 2 = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2 (c) 45 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.95 + 0.05. Let l = 7.138 + -7.438. Which is the closest to 1? (a) l (b) 0.4 (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151408249?\nAnswer: 103, 1469983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2088446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2\/2 - 117375*l\/2 + 1351135 = 0. What is l?\nAnswer: -23498, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7\/2 (b) -4 (c) 0.4 (d) -2.74 (e) 0.157\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x + 32. Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -847084\/1599 - -6343\/41. Let p = 1292 + -917. Let y = f + p. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 1. Let h be v(-2). Calculate the highest common factor of 35 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 + 5*l**2 + 0*l**2)*(l + 0*l - 4*l) + 2*l**3 - 2*l**3 - l**3 - l**3 + 0*l**3 + 0*l**3 to the form p*l**2 + g + i*l**3 + w*l and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 79, 110, 153, 208?\n\"Answer: 6*n**2 + n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3844 + 126878\/33. Let x = s + -1655\/132. Which is smaller: x or -11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 times -0.3?\nAnswer: 108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12393 is divided by 95.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8185 - -14330. List the prime factors of u.\nAnswer: 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2934, 2933, 2932, 2931?\n\"Answer: -l + 2935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/105 bigger than 0.0387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 times 194?\nAnswer: -31622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a - 2. Let y(o) = 12*o - 3. Let k(p) = 4*q(p) - 3*y(p). Let h(m) be the first derivative of 3*m**2\/2 + m + 22. What is -6*h(t) + 5*k(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005088157 to the power of 1\/2, to the nearest integer?\nAnswer: 31703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151\/3 - -773\/15. Which is the smallest value? (a) 29 (b) j (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**3\/5 + 51*p**2 + 2067*p\/5 + 3549\/5.\nAnswer: 3*(p + 13)**2*(3*p + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*j**3 - 265*j**3 + 768*j**3 - 270*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6*l - 40 = -8*l, 4*d + 50 = 2*l. Let x = 21 + d. Solve x = 4*f + 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -42*y - 7. Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 6)*(-14)\/(-8). Let n(r) be the first derivative of 6*r + 4*r**2 - 1\/4*r**4 - 32 - 2*r**3. Calculate n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 2007?\nAnswer: -32\/2007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 2 (c) 0.8 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -13*g**3\/6 + 36*g. Let y(x) = 2*x**2. Give y(j(l)).\nAnswer: 338*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = -25*w + 16. Is w != 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41317514532 + -4.06.\nAnswer: 41317514527.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/255*-2)\/(90\/(-225))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let h(i) = 51*i. Let l(p) = 1887*p. Let k(b) = 221*h(b) - 6*l(b). Determine g(k(x)).\nAnswer: -2601*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/6)\/(4\/(-114)). Suppose 13 = -u + r. Let i = u - 48. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 25*a**2 + 42*a - 7. Let x be c(-23). Calculate the highest common factor of 221 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26163 and 1005210.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 3}. What is prob of sequence sa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 17 = -5*m + 4*r, -4*m + 5*r + 24 = 0. What is the remainder when 58 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31 and -96?\nAnswer: -29.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 31, -816 in ascending order.\nAnswer: -816, -84, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 338 = -2*x, -2*a - 1467 = -3*x - 940. What is the remainder when x is divided by 119?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {d: 7, y: 6, t: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/20)\/((-2)\/(-10)). Let z be -21 + 15363\/729 + 74\/(-270). What is the closest to 0.1 in h, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1796976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 1, h: 10, n: 4}. What is prob of sequence hvcn?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (32 - -1) + (-14 - -28) + -18 + 6\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 1, f: 1, m: 1, s: 1}. Give prob of sequence msy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806995 is divided by 2217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*d*d\/d**(-7))))*d\/(d\/(d**4\/d)))\/(d**(-6\/5)\/(d*(d**(-3\/8)\/d)\/d)) assuming d is positive.\nAnswer: d**(-247\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 8*y + 6*y)*(-2 + 1 - 1)*(y - 5*y + 2*y) in the form w + n*y**2 + r*y and give n.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1255383.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 108114400 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: Expand 3*q**2 - 3*q**2 - 2*q**2 - 3*q + 3*q - 2*q**2 + (3*q + q - 5*q)*(-2*q + 7*q - 3*q) + 133*q**2 + 2*q - 135*q**2 - 4*q.\nAnswer: -8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wobicrrrbwwr. What is prob of picking 2 b and 2 r?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 9*t - 23. Let q be a(10). Let k = q + 36. Solve -d + 14 = k*s, 5*d + 0*d + s = 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2332005522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0044 and -2.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-50)*(-5)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:00 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**8\/40320 + d**6\/1440 + d**5\/20 - 3*d**2. Let r(h) be the third derivative of j(h). What is a in r(a) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14892 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 2, t: 3, v: 1, d: 5}. Give prob of picking 1 v and 2 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -53. Let c = -7 + 7.6. Let u = k + c. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22299 (base 14) to base 10\nAnswer: 82847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68.6 + 68.1. Is m less than or equal to -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c + 2*c - 8 + 5*c + c + 6. What is m(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 681 = 28*q + r, 3*r - 42 - 69 = -5*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2285ab + -4?\nAnswer: 2285a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -9) + (204 - 216).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/65 + -2\/13. Let x = 4.7 + -0.7. Let i = -11 + x. What is the second biggest value in -2, i, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0 - 21*m**2 + 0*m - 13\/6*m**3 + 1\/2*m**4. What are the prime factors of c(5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2\/15, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (1 + -1 + -2). Suppose -g = -0 - b. Suppose n - 75 = -g*n. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 1. Let f(s) = -s. Give -2*f(p) - 2*i(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 10:40 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2135, -4252, -6369, -8486, -10603?\nAnswer: -12720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 191087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -5*q**3\/3 - 25*q**2\/2 - 217. Let v(a) = 0. What is a?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/19)*q*q\/q**(-3\/2)*(q*q**(-5))\/(q*q*q**1))**(-50) assuming q is positive.\nAnswer: q**(2475\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.0505 (b) 5 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 547 + -558 - ((0 - 0) + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -319102 by 4.\nAnswer: -159551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, f: 3, b: 1, e: 2}. Give prob of sequence bffz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v - 6 + 26 + 23.\nAnswer: 4*v + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-1 + (-12)\/(-8)). Let o(b) = b + 10. Let j be o(w). Suppose -7 - 4 = -3*h - u, j = 2*u. What is the second smallest value in h, 0.2, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210050 (base 6) in base 3?\nAnswer: 12121011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -1000, 3, -5.\nAnswer: -1000, -5, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131501837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008394 to 7 decimal places.\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 3, g: 1, p: 1, v: 1}. What is prob of sequence pi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - m - 49 = 0, -u + 0*u + 4*m = -1. Which is smaller: -12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 14) in base 13?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34057?\nAnswer: 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34ba3 (base 14) to base 7.\nAnswer: 1043463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 134\/8)\/(13\/52). Let w = 162 + d. Suppose b = 64 + w. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1227*c*x**2 - 2*c*x - 2*c - 1479*x**2 wrt c.\nAnswer: 1227*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 1 + 7*b**2 + 7*b**3 + b**2 wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7934 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-2) - (5 - 2). Let t be (-10)\/(-25) + v\/(-45). Let r(h) = h + 1. Let q be r(-2). Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -11*s**4\/24 - 3*s**2. Let p(k) be the first derivative of -k**3\/3 - 1424. Determine t(p(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Let c be j\/(-4) + (-142)\/(-124). Let h = -322\/403 + c. Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 32 = 2. Let x be 17\/((r\/(-20))\/3). Let n = x - -74. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-201828)\/(-110))\/(-139))\/(-2 - (-13)\/5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 503.8 - 465. Let u = 39 - g. Let n = -24 + 24. Which is the third smallest value? (a) 4 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205 + -412. Let l = k - -319. What is the greatest common factor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -157744, -315486, -473228, -630970, -788712, -946454?\n\"Answer: -157742*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -12555?\nAnswer: -12554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + 0.11. Suppose -5 + 11 = 3*b. Is b at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 188, 439, 812, 1319, 1972, 2783, 3764?\nAnswer: 4927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((0 - 7) + (592 - 589))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25788609 is divided by 12537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 6*k + 6. Let p = 22 - 8. What is the remainder when q(-5) is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33067671 and 44090228.\nAnswer: 132270684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t**3 - 2*t**2 - 6*t - 5. Let c be g(-1). Suppose -4 = -c*l + 73. Solve l*i + 21 = -7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2716.94254 and 1.035621?\nAnswer: 2715.906919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -44, -66, 0 in increasing order.\nAnswer: -66, -44, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.632*1941\nAnswer: 8990.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 31. Let x(p) = -2445*p**2 - 7*p + 17*p + 346*p**2 - 431*p**d. Let g be x(-8). Round g to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-3)\/(-24) - -2. Let x be ((-8)\/(-260))\/((-2)\/(-10)). What is the closest to -0.1 in x, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 79. Factor 4*z**3 + 7*z**d + 48*z + 31*z**2 - 90*z**2.\nAnswer: 4*z*(z - 12)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138146 + 1886329\nAnswer: 2024475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873*h**3 - 4636 + 941*h**3 + 4636.\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5438, 10881, 16322, 21761, 27198, 32633?\nAnswer: 38066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8294)\/(-3003)*(135\/(-2))\/5 - (-4)\/14.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1660 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 21*s**3 + 48340*s**2 - 145027*s**2 + 48343*s**2 + 48344*s**2.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -18. Find the second derivative of -8*g - g - 9*g**2 + w*g wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 25, -4, -31, -1\/4 in ascending order.\nAnswer: -31, -7, -4, -1\/4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.0115 millennia in months?\nAnswer: 1620138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11716*d + 0 - 2 - 292*d**2 + 11724*d - 35160*d + 11720*d.\nAnswer: -292*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248489?\nAnswer: 17, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 1584.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*w - 2*t, -3*w + 4*t + 4 = 5*t. Let q(i) = -i**3 + 2*i**2 - i + 3. Let c be q(w). Solve -12 = -2*o + k + c*k, -17 = -5*o - 3*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 2*r + 4. Let l(p) = -3 + 4*p**2 - 3*p**2 + p + 3*p**2. Let n(u) = -u**3 - 7*u**2 - 6*u - 46. Let o be n(-7). Give o*l(f) - 3*v(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -58) + (-2 - (-1 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2871 and -201.47.\nAnswer: 2669.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 15) in base 16?\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231112202223300 + 0?\nAnswer: -231112202223300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5379, -5378, -5377?\n\"Answer: y - 5380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2. Let m(n) = -n + 2*n - 2*n. What is i(m(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241346 + 3?\nAnswer: -241343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:46 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-36)*3*176\/22\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -300, -791, -1718, -3231?\n\"Answer: -25*i**3 + 7*i**2 - 51*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express x - 192 + 192 - 9*x**3 as u*x**3 + a*x**2 + z*x + n and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i + 55. Does 4 divide j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 19*j - 1. Let z be n(-10). Solve -z - 1 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 47064, -37, -7 in decreasing order.\nAnswer: 47064, 3, -7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 27*g - 178 + 2 = 0. Calculate the least common multiple of 11568 and g.\nAnswer: 11568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**1*t)\/t)**14)**(1\/78))**(-16) assuming t is positive.\nAnswer: t**(-112\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 20547733.\nAnswer: 3\/20547733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - d - 1)*(-569 + 569 - 289*d)*(8 + 5 - 2)*(d + 0 + 0).\nAnswer: 3179*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.12 * -2.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*l*p - 17*l - 924*p with respect to l.\nAnswer: 10*p - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (415 + -414)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 179413 and 26.\nAnswer: 4664738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 7*c + 4. Let q(u) = -u**2 - u + 5. Let d be q(0). Is w(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18\/7 - -16\/7. Let b = -0.06144 + 0.08144. Put b, v, -1\/2 in descending order.\nAnswer: b, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(-9) + 0 + (1 - 3). Let b(p) = 11 - f*p + 5*p - 2 + 2. Calculate b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3*r**2 + 3369*p**3*r + 20*p*r**3 - 17*r**5 - 2*r wrt r.\nAnswer: -2*p**3 + 120*p*r - 340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203354 is divided by 3765.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-18\/13)\/m)\/m)\/(m\/m**16*m))**31 assuming m is positive.\nAnswer: m**(4278\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -27\/14. Let z = -4.9 + 1.7. Let c = -3 - z. What is the second biggest value in w, 3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -351\/1113235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5*m - 4. Let t be n(-6). What is the third derivative of -2*o**t + o**2 + 11*o**4 - 6*o**4 wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16\/(a*a\/(((a*(a*a\/(a\/a**6)*a)\/a)\/a)\/a))*(a**(-3\/10)\/a)\/a*a\/a**13)**25 assuming a is positive.\nAnswer: a**(285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 28*x**2 + 148*x - 18. Let d(u) = 107*u**2 + 592*u - 73. Let s(a) = -4*d(a) + 18*r(a). What is b in s(b) = 0?\nAnswer: -4, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - -3.67. Let g = i + 128.83. Let l = g + -128.9929. Round l to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/200 and 79\/108.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 808659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077174053 rounded to six dps?\nAnswer: 0.007717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 72*y**5 + 468*y**4 - 452*y**3 - 1452*y**2 - 324*y + 280 = 0.\nAnswer: -7, -1, -5\/6, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1983?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -114.16 and 0.623.\nAnswer: -71.12168","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -11 (b) 0.3 (c) 2\/29 (d) 4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -6\/5 (c) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14053403.1934 + -14057349. Let x = 3949.2 + k. Let q = x + -3.4. Round q to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -j - 4, -4*h + 5*j + 197 = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -114*f**3 - 33*f**2 + 6*f - 6. Let w(y) = -115*y**3 - 35*y**2 + 7*y - 7. Let a(q) = -7*v(q) + 6*w(q). Find the third derivative of a(l) wrt l.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548\/5754*(-7)\/8.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45122925 or 45122934?\nAnswer: 45122934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 1 + 1 + sqrt(108) - (sqrt(1452) + (sqrt(1452) - sqrt(1452)*-2 - sqrt(1452)))**2.\nAnswer: -13066 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77 - 19?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779530599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -78d + -2?\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(5\/7)\/(u**(-6)\/((u*u**(2\/5)*u)\/u)) assuming u is positive.\nAnswer: u**(309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d + 5. Let f = d + 4. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-10)\/(-90))\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 + 4*a**3\/3 + 238*a**2 - 14768*a\/9 - 5632\/3 = 0. Calculate a.\nAnswer: -33, -1, 8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/81*(-459)\/(-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/w**(-1\/2))\/(w**(2\/5)\/w)**(-27) assuming w is positive.\nAnswer: w**(-187\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 10. Let y(h) = 2*h**3 - 26*h**2 - 10*h + 2. Let t(x) = x**3 - 17*x**2 - 7*x + 1. Let o(s) = g*t(s) - 5*y(s). Factor o(w).\nAnswer: -2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:08 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 h when three letters picked without replacement from {n: 5, r: 2, h: 6}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -7)\/3 - -1. Let w(d) = -4*d**2 - 2*d + 3. Let s(f) = -11*f**2 - 6*f + 9. Let a(j) = 6*s(j) - 17*w(j). Is 13 a factor of a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*(3*(-2*sqrt(162) - sqrt(162)) + 5 + -1).\nAnswer: -1215*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let y(d) = d**2 - 5*d - 6. Let w be y(k). Let p(o) = 4*o - 3. Let s(v) = 9*v - 7. Let t = 50 - 36. What is t*p(i) + w*s(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -21*d + 11. Let h be 33\/(-22) + 3\/(-2). Let s(y) = 4*y + 4. Let j be s(h). Is o(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1236 or -97480?\nAnswer: -1236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2391 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 0*g**2 - 3*g**2 + (65*g - 74*g + 55*g)*(0 + 2 + 1)*(3*g - 2*g - 4*g) + 3*g**2 - 2*g**2 + g**2.\nAnswer: -415*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2 + 23*y - 22. Let t(o) = -2*o**2 + 9*o - 8. Let m(x) = 3*a(x) - 8*t(x). Give m(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let l(g) = -2365165*g**2. What is l(k(b))?\nAnswer: -9460660*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/30 + g**2. Suppose v + 9 = 2*v. Let o(d) = -2*d**2 - 2*d**2 + v*d**2. Determine o(n(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29.58654 months?\nAnswer: 0.02465545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18213000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (4 - -2) + (-1 - -1) + -1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*sqrt(143)*-1 + sqrt(143) - (sqrt(143) + (4*1*sqrt(143) - sqrt(143)) + sqrt(143))))\/(sqrt(220)\/((sqrt(75)\/sqrt(3))\/sqrt(5))) + -2.\nAnswer: -sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58126 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/8 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*v - 32 = 0, 2*s + 50 = -v + 4. Let z = -18 - s. Solve -3*k - 5*l + 1 = 15, -k = -z*l - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 3*q**2 + 365*q - 1878. Determine d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/25 and 2273351 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*n**3 + 0 + 73*n**3 + 0 + (-3*n - 2*n + 3*n)*(-n**2 + 3 - 3).\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 3*r**2 - 3*r**3 + (6*r**2 - r**2 - 4*r**2)*(-2 + 2 - 2*r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 11*j**2 + 3. Let c be t(11). Suppose c*k - 13 = 11. What is the smallest common multiple of 2 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*w + 6*w**2 + 18*w)*(-25*w**2 + 35*w**2 + 28*w**2) to the form o*w**3 + x*w**4 + v*w + q + a*w**2 and give x.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/4 + 19*b**2\/4 + 30*b + 63 = 0. Calculate b.\nAnswer: -7, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z + 9*z + 7*z - 44*z as b*z + l and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (-1 + sqrt(325)))*3)**2 + 1 + sqrt(325) + -4 + 5 + -3.\nAnswer: 8 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -k + 523*h - 521*h, 5*h - 30 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -969\/49 or -80?\nAnswer: -969\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 72. Solve g + 18 = -5*i + 3*d, i + 3 = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5122882 to the nearest integer?\nAnswer: 2263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**4\/3 - 38*w**3\/3 + 26*w**2 - 58*w\/3 + 14\/3 = 0.\nAnswer: 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192644?\nAnswer: 2, 17, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4483 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 183273 divided by -42\nAnswer: -61091\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 50 - 30)*(2*k - 2*k + k)*(3*k + 0*k - 2*k).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174193628 by -5123342.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288 * 7.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*u + 75*u - 9 - 148*u)*(u**3 + 3*u**3 + 0*u**3 + (-5*u + 3*u + 0*u)*(2*u - 2*u + 4*u**2)).\nAnswer: 12*u**4 + 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82.4 - -83.4. Which is the biggest value? (a) 4 (b) o (c) 5\/4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -652378958 or -2\/5?\nAnswer: -652378958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 54, 51, 46, 39, 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -10. Suppose 9*a - i = 39. Solve 4*r = -u - 18, r + 2*u = u - a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*z - 20 = 3*z, -3*z - 15 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9903239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - 0.3. Suppose -5*x + 17 = k - 12, 5*x - 41 = -4*k. Let c = -0.1217 + 0.4217. Sort x, c, t in descending order.\nAnswer: x, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(1\/10)\/((-66)\/(-165))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13181359 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2140\/1083 + 2947195\/45486. Let u = a + -1063\/18. Let x = -59611\/9 + 6631. Find the common denominator of u and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 + 24134*s**3.\nAnswer: 2*s**3*(s + 12067)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**2)**48 assuming i is positive.\nAnswer: i**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1296*b**3 + 4*b. Let s be u(-3). Let h = 20795 + 220. Suppose 5*c - s = 4*w, 0*c - h = -3*c - 3*w. Round c to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/4 - (-3)\/12. Let d be 3 + t - (-32)\/(-12). Factor 2\/3*c + 0 + 0*c**3 - 2\/3*c**5 - d*c**2 + 4\/3*c**4.\nAnswer: -2*c*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 15*l + 3 - 5*l + l**3 - 6*l**2 + 16*l**2 + 6. Let s be m(-9). Suppose s = -5*z - 5*d + 105 + 115, 0 = 2*z - 2*d - 108. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1264439 - 22\nAnswer: -1264461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25039 (base 15) in base 3?\nAnswer: 20000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 902021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 84, 110, 156, 228, 332, 474, 660?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 2)*(-55*k + 173*k + 60*k)*(-2 + 4 - 1)*(-43*k - k - 54*k + (-2 - 5 + 5)*(-2*k + 2*k - k) + k + k - k) in the form b*k**2 + p*k + h and give b.\nAnswer: 16910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1314133 - -4?\nAnswer: 1314142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50408, -202160, -455228, -809606, -1265288?\n\"Answer: f**3 - 50664*f**2 + 233*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 784 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232770 and 5772696?\nAnswer: 28863480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 - 2*g**2 - 255*g. Let f(l) = 4*l**3 - 2*l**2 - 255*l. What is 2*f(q) - 3*v(q)?\nAnswer: -q**3 + 2*q**2 + 255*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 8, 864*f = 868*f - 2*b + 3*b - 48 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 - 12*d - 40. Let w be s(-7). Let u(o) = -5*o - 7. What is u(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1543 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -18060000 to the nearest 100000.\nAnswer: -18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 17 - 9)*(7*r + r - 5*r) - 3 - 2*r + 3 + (-1 + 2 - 2)*(2*r + r - 4*r) + (-6*r - 4*r + 2*r)*(3 + 0 - 2).\nAnswer: -99*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14461 - -15048. Solve t*r - 40 = 595*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 - 24 - 57)*(-5552 - 46*f + 5552) as y + n*f and give n.\nAnswer: 5014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3. Suppose 4*r + 0*r = -5*j + 29, -2*r = 5*j - 27. Suppose o = -j - 0. Which is the nearest to t? (a) o (b) -3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3*t**2 + 4*t**2)*(4*t + 0*t + t)*(0*t**2 - 11271 + 2*t**2 - 11*t + 11269).\nAnswer: 30*t**5 - 165*t**4 - 30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4246978 is divided by 349?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 16 - 60 - -39.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3804 - 2543. Let k = w - 705. What are the prime factors of k?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.23525 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 112 - 2*m**2 - 8*m)*(-m + 2*m - 2*m).\nAnswer: 2*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -97. Solve -q - 6 + p = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13410466 plus 47361281?\nAnswer: 33950815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 10, i: 7, r: 1}.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 89*d + 156. What is the smallest common multiple of p(12) and 240?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = 45*d + 1258 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -13.4. Which is the closest to -1? (a) 5 (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*k + 4. Let m be (1 - k)*(6 + -4). Let x(v) = -v + 0 + 0*v + 9. Give x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*(1 + sqrt(17)))**2*2.\nAnswer: 576*sqrt(17) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4617 = 466*c + 14385 + 5230 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -26*g**2 + 4*g - 2. Give r(-3).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57780 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - 5*i - 5. Let j(c) = 2*c**2 - 3*c - 3. Let z(y) = 5*j(y) - 3*x(y). Let m(q) = 17*q**2. What is z(m(l))?\nAnswer: -578*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 (base 7) in base 15?\nAnswer: 1de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4119528*m**3*t**2 - 4*m**3 + 4*m*t**2 - 3267*m*t - 2*m - 26*t**2 - 3*t - 2 wrt m.\nAnswer: 24717168*m*t**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10706110306 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 571140436, 571140438, 571140440, 571140442?\n\"Answer: 2*u + 571140434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 110\/844191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 13*v**4\/12 + 3*v - 79. Let w(l) = -10*l**2. Give w(q(z)).\nAnswer: -1690*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2515 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 172*g**2 - 1820*g + 5684.\nAnswer: -4*(g - 29)*(g - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2. Let i(c) = 9*c. Let d(n) = -19*n. Let w(b) = 6*d(b) + 13*i(b). Determine u(w(g)).\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2. Let k(u) be the third derivative of -14*u**2 + 0*u**3 + 0*u + 0*u**4 + 0 + 1\/60*u**5. Give k(h(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 110*k**2 - 2*k + 7. Let c(z) = 55*z**2 - z + 4. Let s(n) = -7*c(n) + 4*r(n). Let v be s(-1). What is the highest common factor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/17574 and 113\/1044.\nAnswer: 105444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**2 - 11*a**4 + 10*a**4 + 2*a**2 + 48*a**3 + 0 + 3 wrt a.\nAnswer: -24*a + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-13 - -4) + -2 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 4*v + 1. Suppose -c + 0 + 6 = 0. Suppose -c = -2*n + 3*l, 0*l + 14 = -2*n - 2*l. Calculate f(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5771304)\/32 - 2\/(-8). Let d = -126334 - v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 - 0.36. Let m = q + 0.786. Let g = -0.04 + m. What is g rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -25, -21, -185\/4 in decreasing order.\nAnswer: -2\/7, -21, -25, -185\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q + 5. Let p be v(5). Suppose p*z = -z + 123. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 3. Let z be i(-7). Suppose 0 = -4*k - s + 42, z*k - k - 34 = -2*s. Let j(h) = 2*h**2 - 8*h + 11. Is j(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + (-9 - (-7 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 13 = -2*p, 4*y - 5*y = -3*p - 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1*((-19)\/7 - -3). What is the closest to 0.1 in -2, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -164720 to the nearest one thousand.\nAnswer: -165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5634305 + 22?\nAnswer: 5634327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 1 i when three letters picked without replacement from ieueeueuxiexeee?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 39 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101101110101011101100111 (base 2) to base 11\nAnswer: 6867439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -4 - 0) + -2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28756\/57 or 503?\nAnswer: 28756\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162 + 42*r**2 + 162 to b + q*r + s*r**2 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -39*z - 977. Give f(-28).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -225340?\nAnswer: 225335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-68))\/((-68)\/(-2244))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 51 = 3*l, -20*f + 12 = -17*f. Let u be (10\/4)\/((78\/12)\/l). Which is the biggest value? (a) -0.3 (b) -15 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i. Let x be h(1). Suppose x*y - 200 = -7*y. Let d = y + -19. Sort -2, d, -5, 4.\nAnswer: -5, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*1 - (-22)\/((-308)\/42). Find the third derivative of -116*v**w + 149*v**2 + 1201*v - 1201*v - 47*v**2 - 2 wrt v.\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and 0.01?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-6))\/((-7)\/(3444\/8)). Let b = 125 + w. Differentiate -8 + 2 - 15*h**2 + 2 - 25*h**b wrt h.\nAnswer: -80*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*x - 9*x - 317*x.\nAnswer: -264*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 69*j**2 - 446*j - 712. Determine u(-62).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-8) - ((-110)\/28 - 1\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 7:31 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2 - j + 5. Let k(h) = -46575*h**2 + 0 + 1 - h + 5 + 46585*h**2. What is -6*d(v) + 5*k(v)?\nAnswer: -4*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5\/3 - 16*a**4 - 112*a**3 + 2008*a**2\/3 + 1604*a + 840 = 0.\nAnswer: -7, -1, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -77*g + 420. Let y(u) = -13*u + 70. Let x(l) = -6*h(l) + 35*y(l). List the prime factors of x(20).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -325 - -325. Let d(f) = f - 8. What is d(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*h + 8, -22*h - 1439 + 1459 = 10*b - 15*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46512880 to the power of 1\/2, to the nearest integer?\nAnswer: 6820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by -5\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:21 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 13. Let x be z(-5). Calculate the common denominator of -30\/41 and (-36)\/(-27)*9\/x.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5383584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 + 380 - 102 = -65*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8976.5 - 8977. Let b = -8 - 0. What is the closest to b in -2, d, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.485801l?\nAnswer: 2485.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 3. Let h be (-570)\/(-133) - 4\/14. Suppose 5*d - b = -5*b + 21, 3*d = h*b - 13. Let t be p(d). Solve t = -3*r - 13 + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23213*o + 23246*o - 132 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -6117915 and 3\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phefkehefffpeq. Give prob of picking 1 k, 1 q, 1 p, and 1 f.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t = 911 + 23594. What is the greatest common divisor of 52 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 10608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 27. Put m, 2, -4, 4 in increasing order.\nAnswer: -4, 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -452, -1, 2567, 4, 0 in descending order.\nAnswer: 2567, 4, 0, -1, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*268\/((-16348)\/6161)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p + 4*n - 28 = 0, -p + 7 = -4*n. Suppose -13*s + p*s + 5730 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623*q = 624*q - 11. Suppose -q*v + 50 = -16. Solve -3*l + v*l = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12 + ((-38)\/35*2)\/(1850\/10175).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 200\/(-35) - 4\/14. Let a(h) = 8*h - 12. Let m(y) = 8*y - 11. Let k(b) = q*a(b) + 7*m(b). What is the derivative of k(v) wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-11)*(-150 - -177)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 7*l - p - 23, -11 = 5*l - 3*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lww when three letters picked without replacement from {n: 2, l: 3, w: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 28 = -6*p, 4*j + 25 = -4*p + 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 9*n**2 + 43*n + 9. Suppose 0 = -10*b + 16*b + 84. What is the tens digit of w(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*w - 229*w - 480 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3561 + 1183 + 3256 - 400*y + 5*y**2.\nAnswer: 5*(y - 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 39 = -136. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -18*k + 3035. What are the prime factors of z(57)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 259 + 259)*(-1 - 2*h + 1).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3108 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2 + 1300*z - 1305 = 0.\nAnswer: -261, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(10\/3))*r*r*r)\/r)**(-24\/5)\/(r**(-4))**(-45))**(1\/20) assuming r is positive.\nAnswer: r**(-257\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/72)\/((-8)\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose 0 = -4*k - 2 - r. What is the common denominator of (k\/12)\/(2\/(-404)) and -14\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1029540 and -15\/16.\nAnswer: 4118160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66.86238 millilitres?\nAnswer: 0.06686238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21413 = -98*b + 17787 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -66*o**2 - 1101*o - 536. What is n(-16)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750580 to the power of 1\/2, to the nearest integer?\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 6*u + 2. Let o be i(4). Let m = -9 - -18. Suppose -m = -10*p + 7*p. Solve -2*q - 2*q + o = -2*c, -p*q = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105324 is divided by 105318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*a - 507 = 2*s, 0 = -2*s - a - 349. Let j = 175 + s. Solve -z = 3*z - 20, -j*z - 5 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:08 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -3*i + 11*l - 7*l + 3*l, 0 = -2*i - 13*l + 70 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(5\/14)*w*w\/(((w*w**(-3))\/w)\/w)*w**(3\/11) assuming w is positive.\nAnswer: w**(494\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -246, -370, -494, -618, -742?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 45 = -q - w, -2*q = 2*w - 102. Let t = q + 23. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*v = -i - 20, -i = 2*v - 1. Let w(y) = 115*y - 148. Is w(i) a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013 (base 6) to base 4.\nAnswer: -3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43069, -86140, -129211, -172282, -215353, -258424?\n\"Answer: -43071*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/1 + -3)*0. Suppose -2*g + 3 = -c*g - 5*n, -g + 4*n = 0. Suppose g*b - 5134 = -674. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 10221100222?\nAnswer: -10221101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 670204*c**4 + 471999 wrt c?\nAnswer: 2680816*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 28, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71.6 or 0.1?\nAnswer: -71.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 1:14 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 < 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 2*g. Let j be k(3). Solve -j*o = -4*r - 18, 0 = 3*r + 2*o - 0*o + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*g = -1087*g + 67065 + 80846 - 37031 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1311*p + 10517 + 32746 = 0 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - b**3 + 0*b**3 - 2*b - b**3 + 2*b + (3 + 0 + 0)*(-2925 + 2925 - 1839*b**2)*(-2*b - 3 + 3).\nAnswer: 11035*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4782*z - 47 = 4779*z, 16*l - 7 = -3*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6085.3 + -6085. Sort -1\/2, 49\/5, -0.2, 1, o in ascending order.\nAnswer: -1\/2, -0.2, o, 1, 49\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 83873689 and 83873695 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1280)\/(-3680))\/((-4)\/(-46)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 12. Suppose 5*k = 4*g - 701, o*k = -4*g + 3*g + 154. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 14*d + 16. Let r be z(-15). Find the common denominator of -101\/16 and r\/12*(-405)\/(-25).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/5 - 24*d**4\/5 + 57*d**3\/5 + 1214*d**2\/5 - 1248*d\/5 = 0.\nAnswer: -6, 0, 1, 13, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {j: 4, q: 7, v: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o. Suppose -q + 4*q - 60 = o. Calculate the lowest common multiple of 14 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9287 times -1\nAnswer: -0.9287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5274814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**3 + 5932*p**2 - 1976*p.\nAnswer: -4*p*(p - 494)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 4. Let m be f(5). Suppose 0 = m*i - 8*i - 66. Let y = 56 + i. Solve 2*c = 10, 3*x - y = -6*c + 2*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(0 + sqrt(99)) + sqrt(99) + 2 + -1 + sqrt(99) + sqrt(99))*-5)**2.\nAnswer: -2500 - 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/2)\/t**0)\/((t\/(t\/(t\/t**(5\/4))))\/(t*t*t**0\/t)))**26 assuming t is positive.\nAnswer: t**(195\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 - 271. Let g = m - -613.99673. What is g rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1138\/(-5121))\/(6\/(-3294)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -15169.1.\nAnswer: -15169.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 666 - 666)*(-3*k**3 - 7*k**3 + 4*k**3) - 2*k**4 - k**4 + k**4.\nAnswer: -44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 - 650 = -4*g, 3*z = -15. Is g\/6 - 5\/15 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2821981777 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 2 = 4*u, 3*g = -12*u + 3*u - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*f**3 + 1284 - 1284)*(-f + 3*f**2 - 8*f + 11*f).\nAnswer: -240*f**5 - 160*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i + 3. Let o be (-2)\/(-10) - (-118)\/10. Let x = o - 7. Let y(k) = 7*k - 2. Give x*r(p) + 8*y(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8100, 5, 13, 1\/4.\nAnswer: 1\/4, 5, 13, 8100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/3 (b) -19 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 13*q**2 - 55*q + 12. Calculate z(-6).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*m - 17, t = -5*m - t - 59. Let i = -28 - m. What is the tens digit of (i\/(-10))\/(3\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 21*j = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19\/1292*34 + 3\/6*125. Solve -11*d - w = -2*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-90)\/1215 + 9773\/87\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmu when three letters picked without replacement from uuumuubuuuuuvubmbsu?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 25?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:47 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1295 + -921. What is the remainder when s is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -437 equal to -1758015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 137 = t, -j + 5*j - 8 = 0. Let o(y) = -y**3 + 9*y**2 + 25*y. Let a be o(-3). Let f = t + a. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19391789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*g = 25, -14 + 4 = -2*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74481, -74880, -75241, -75546, -75777?\n\"Answer: 3*m**3 + m**2 - 423*m - 74062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.8. Let x = 0.07 + -4.07. Let s = x + 3. Which is the closest to s? (a) 0 (b) -3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17640*p**2 + 11112*p + 2 wrt p?\nAnswer: 35280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + y**2 - 2*y - 3. Let x(w) = -3*w**3 - 2 + 4*w - 3*w**2 + 6*w**3 + 9. Give -7*t(u) - 3*x(u).\nAnswer: -2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufdu when four letters picked without replacement from ztduzudzuuffdudtuu.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 4*u. Calculate n(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*b + 42, b - 3 = 65*k - 64*k. Let g be k\/30*60\/(-6). Solve 2\/3 - 2\/3*d**g + 8\/3*d - 8\/3*d**3 = 0 for d.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 4:44 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 7*f\/3 - 26\/3.\nAnswer: (f - 2)*(3*f + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/23, -1\/4, 9\/8.\nAnswer: -2, -1\/4, 1\/23, 9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 3*m**2 - 4*m - 5. Let s be j(-4). Sort -1, 4, s.\nAnswer: s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2687.\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -60161.8049 rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 6*r**2 + 40*r - 183. Calculate p(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 896 + -1271. Let z = 237 + -722\/3. Find the common denominator of (a\/550)\/(1 - (-23)\/(-20)) and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.225 and 16655392.\nAnswer: 16655396.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 8*d**2 + d - 4. Let j be k(-8). Let g = j - -6. Is -5 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5481007, -5481009, -5481011, -5481013?\n\"Answer: -2*g - 5481005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -216*b**2 - 89*b**3 - b**4 - 215*b**2 - 17*b**3 - 11*b**3 + 428*b**2 - 2 to q*b + c*b**2 + u + l*b**4 + w*b**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20015, 39987, 59957, 79925, 99891?\n\"Answer: -o**2 + 19975*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5 - 4679*m**4 + 5352619*m**3 + 282302279*m**2 + 3493369880*m - 3781020100 = 0?\nAnswer: -26, 1, 2365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2. Let a be -6 - (1 - -2) - 1. Let w(c) = 3*c. Let i(b) = b. Let k(t) = a*i(t) + 4*w(t). Give k(s(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 35)*(-8*c + 8*c + 1 - c**3).\nAnswer: -33*c**3 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 3\/1016230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 73*u**3 - 12*u**2 + 4*u - 1. Let o(a) = -219*a**3 + 33*a**2 - 11*a + 3. Determine -4*o(v) - 11*t(v).\nAnswer: 73*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o - o - 3*o + (4*o - 2*o - 4*o)*(-2 - 3 + 1) + 2*o + 3*o - 4*o + 0*o + 0*o + 5*o + 2*o + o - o to the form p + h*o and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9272*c**3 - 250*c**2 - c + 3. Let j(u) = 9276*u**3 + 250*u**2 + 4*u - 4. Let b(h) = -3*j(h) - 4*v(h). What is the third derivative of b(o) wrt o?\nAnswer: 55560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w - 4. Let y(r) = 12*r + 9. Suppose 17 = -6*c - 19. Determine c*y(v) - 14*l(v).\nAnswer: 12*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7314 and 3180.\nAnswer: 73140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-30))\/(((-198)\/630*7)\/((-6)\/10))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2, 1\/7, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*n + 4 = 0, -4*n - n = -20. Let w(g) = -10*g - 3. Let b be w(o). Let f = 84 - b. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002013772338 to 6 decimal places.\nAnswer: 0.002014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 51. Give c(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2823, 0 in descending order.\nAnswer: 1, 0, -2823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -360.4 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 3. Let q be a(3). Let t = -4 + q. Let o = 5 + -3. Solve -o*b = -0*b - t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5c245 (base 14) to base 16.\nAnswer: -558175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 4*a + 2. Let i be q(-4). Suppose 4*n = j + 396, -4*j + i*j = 5*n - 482. Suppose -4 = 4*w, f - 8*w + 3*w - n = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 9*s + s**2 + 3*s**2 - 63 + 3*s**2.\nAnswer: 4*s**2 + 9*s - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + -5 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -d + 21, -5*d + 2*v + 66 = 0. What is the highest common divisor of d and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 1. Let b(y) = -6*y**2 - 9*y + 1. Let z(r) = b(r) + t(r). What is the second derivative of z(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9\/12)\/((-396)\/(-2695440)).\nAnswer: 5, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 9*p + 2. Suppose -8*s + 4*s + 3*k + 30 = 0, 4*k - 17 = -s. Let h be t(s). Suppose -h*b = -3*b - 2. Sort b, 0, -4.\nAnswer: -4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133947 = -10887*n + 1200873 for n.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (8 - (0 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -89 + 487. Let n = -65 + t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llulullllll. Give prob of picking 2 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let f be (-8)\/(-20) + (-16)\/(-10). Let w be (f\/(-5))\/((-2)\/70). Let u(q) = -w + 14 + q. Determine i(u(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 14 = -l, 2*l = -3*l - 5*f - 5. Let k = -1.9639 + 4.9639. What is the third biggest value in l, k, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/39420 and 52\/405.\nAnswer: 118260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22734 and 918.\nAnswer: -20869812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*p = -2*s + 626, -s - 624 = -2*p. Let r = s - -1173. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 22. Calculate c(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 133\/76*(-1 + 2) - 2. Which is smaller: 43\/16 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -17. Suppose d + r = 3. Let x be (0 + d)*24\/16. Sort -6, x, -2 in decreasing order.\nAnswer: x, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3 - 3)*(-2 + 0 + 3) + (-3 + 1 + 5)*(-26 + 26 + 4*k).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14266\/11 + -1296. What is the fourth biggest value in -0.1, j, -1\/6, -2\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -45. Suppose o = -2*t - 5*l + 234, -3*t - 5*l + 107 = -2*t. Let z = t - 71. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -15*t**3 - 817*t - 1644. Give b(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.1, -3\/8, 3, -0.81.\nAnswer: -0.81, -3\/8, 0.07, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let s(o) = 8*o + 5. Let z be 32\/(-14) + 405\/315. Calculate z*s(a) + 4*n(a).\nAnswer: -12*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1673 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 31089400 to the nearest ten thousand.\nAnswer: 31090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b*p*t**3 - 6904*b*p*t**2 + 250*p*t**3 - 298*p*t**2 wrt b.\nAnswer: 3*p*t**3 - 6904*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*t - 34. Suppose t*w = 10*w + 168. Calculate the highest common factor of w and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o. Let k(w) = -4*w. Let s = 13 - 5. Let h = s - 13. Give h*k(r) - 2*v(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*f - 4*t + 12, 4*f - 4*t = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 82*b**2 - 158*b + 78 = 0. What is b?\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwnwwnnwww. Give prob of sequence wnnw.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1277700*f**3 + 2*f**2 + 14982*f + 12.\nAnswer: -7666200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6039751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189887743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -18. Suppose -5*t + 36 = s*d, 2*d + 2*d - 56 = -4*t. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 257*l**2. Let f(k) = -k**3 + k**2. What is -257*f(v) + q(v)?\nAnswer: 257*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(78)*-1 + sqrt(78))\/(sqrt(54)*5).\nAnswer: -2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(325)) - (-1 + sqrt(325) + 2))**2.\nAnswer: 10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/13 + 644*c\/13 - 9210\/13 = 0.\nAnswer: 15, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 7:12 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:39 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 153*m - 2138. Give g(-49).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attmkxrx. What is prob of sequence ak?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**2 - 2*b - 1. Let c(w) = -w**2 - w. Let a(y) = -4*c(y) + f(y). Let q be (-73 - 6878\/(-95)) + 8\/5 + 0. Calculate a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Suppose -h*p - p - 36 = 0. Let x(u) = -3*u**2 - 6*u + 14. Let i be x(-4). Are p and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233535019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7443097 is divided by 372149?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 25299.\nAnswer: 126495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:51 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 1. Let o be g(1). Let c = -10 - -37. Let q = c - 22. Solve -3*i = -o*i + q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (-1*sqrt(275))**2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342541 = 156*b - 354397 for b.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5244.627 weeks?\nAnswer: 36712.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401957179?\nAnswer: 3, 73, 1218649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 330815591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 2*r**2 + r. Let c be q(1). Let d be (-4 - -4)*(-1)\/(-1). Suppose 8*p + d*p = -40. Sort p, 3, c in descending order.\nAnswer: 3, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -178. Let q = i + 97. Is q at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40505 = -16*y + 11*y - 5*s, -4*s = -4*y + 32396. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/9? (a) 0.1 (b) 10 (c) 2 (d) 4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5373.845 centuries to years.\nAnswer: 537384.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -90777, -181556, -272333, -363108, -453881, -544652, -635421?\n\"Answer: v**2 - 90782*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 - -19.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 2*t, 3*f = 8*t - 4*t - 6. Suppose -7 = -2*q - t. Solve 11 = 3*o + 4*h, -q*h + 3 = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1934*j + 1856*j - 3867*j - 892 - 1957 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9437604.5 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 447.1961 millennia?\nAnswer: 4471.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/21 (b) 0 (c) 0.7 (d) -32 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.66 + 37.66. What is the third smallest value in n, -0.5, -2\/189?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31226124 (base 7) to base 15.\nAnswer: -36dd99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 533.0785511 to the nearest integer.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**6\/24 + 3*y**4\/8 + 2*y**2 + 7. Let j(l) be the second derivative of q(l). Find the second derivative of j(k) wrt k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + j**2 + 0*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206120?\nAnswer: 2, 5, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6286*m**5 + 49*m**3 - 562407*m wrt m?\nAnswer: -125720*m**3 + 294*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 142959502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnnv when four letters picked without replacement from xnnnxvvvyxxvvxn?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6952909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 + 186*y + 5257\/4.\nAnswer: -(y - 751)*(y + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.737379 grams?\nAnswer: 7737379000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.2955373 to 2 decimal places.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37395 divided by 7479?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from {v: 3, d: 9}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1766054*i + 8684 + 28300 = -1765652*i for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 621785807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 237*o + 12. Let k(x) = -105*x - 6. Let d(f) = -9*k(f) - 4*n(f). Let y(p) = 5. Let i(j) = -3. Let c(a) = 7*i(a) + 4*y(a). What is 4*c(q) + d(q)?\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dfddy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208 + 667 + 133)*(-l + 0 + 0).\nAnswer: -1008*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1013 - -2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504414110 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/2)\/(4\/(-8)). Suppose 20*x = 25*x - 90. Let y = x + t. Solve 11 - 1 = -y*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:17 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -2*a + 45. Suppose 4*f - 349 = -a*r, -2*f + 6*r - r = -197. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29712396.\nAnswer: 2, 3, 7, 17, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = x, -1529*j + 1534*j - 2*x = 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 4*j - 1 + j. Suppose q + 0 = 3*y - 8, 4*y = -q + 20. What is d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**5\/15 + x**2. Let t(w) = 2*w + 8. Let v(o) = 5*o + 51. Let a(m) = 4*t(m) - v(m). Give z(a(k)).\nAnswer: 36*k**2 - 456*k + 1444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 0.1004?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x - 4*v + 131 = -84, -x + 2*x = -4*v - 0 - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/12)*b*b**(4\/7) assuming b is positive.\nAnswer: b**(139\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 350 = -14*x. Let o = 1 - -4. Suppose -j + 65 = j + o*v, -2*v + 10 = 0. What is the highest common divisor of x and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at least as big as -230\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 2*y + 5. Calculate m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 9*g + 3*g)*((6 + 2 + 6)*(-3 + 7 + 1)*(-3 - 2 + 2) + (-2 + 1 + 3)*(3 - 3 - 1)).\nAnswer: -2120*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 36*d - 27. Is 18 a factor of q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 451 - -1275. Suppose 34*i - 32*i = z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/60 + y**4\/8 - 2*y**3\/3 + 2*y**2 + 23*y. What is r(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1724, 12574, 41664, 98114, 191044, 329574, 522824, 779914?\nAnswer: 1109964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.38 + 0.02. Let n = l - 5. Which is the closest to 1\/3? (a) n (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.039.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x - 7. Let c be q(3). Suppose 3*a - c = -5*u + 19, -2*u = -5*a + 9. Find the third derivative of -2*p**3 + 5*p**2 - 4*p**a - 2*p**2 wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124606003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 3\/2*k**2 - 1\/4*k**4 - 1 + 6*k - 4\/3*k**3. Let z be d(-5). Calculate the highest common divisor of z and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*n - 1 + 1)*(21*n - 2881 + 2881).\nAnswer: -483*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 18 + 4)*(-4*p**3 + 5*p**3 - 3*p**3) + 0*p**3 + p**2 - 2*p**3 + 0*p**2.\nAnswer: -36*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -46\/9 (c) 5 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 41 = -49. Suppose 6832 = -2*k - j*o + 23258, 24629 = 3*k + o. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v\/v**(-1)))**(2\/3)*(v*v\/v**(1\/4))\/(v**(1\/2)*v) assuming v is positive.\nAnswer: v**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 2. Let p be g(4). Suppose -i + p = i. Is 9*26 - (i - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.35 + 11.4. Let j = 0.05 - u. Which is the smallest value? (a) -1\/6 (b) 3 (c) j (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14088 is divided by 1270?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 107 - 1. Suppose -x = -2*l + 21. 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: Is -36 < 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-1 + 1 + 17). Let i = k - -18. Suppose -5*m - i = -2*m + j, 3*m + 13 = 5*j. What is the closest to 1\/3 in 4, m, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*y + 1296*n - 49*y - 5 with respect to n.\nAnswer: 2*n*y + 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from {c: 1, i: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/sqrt(7))\/sqrt(11) - (sqrt(60) - sqrt(300)\/sqrt(5))\/sqrt(12).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63 + 16 + 66 + 289)*(-2*q + q**4 + 2*q) as y*q**2 + x + c*q**4 + p*q**3 + d*q and give c.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 3128424?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve s - 17 = -x, 25*s + x - 21 + 52 = 28*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**4*s**2 - 12245*j**3*s**3 + 2*j*s**3 - 174*j*s - 9 wrt j?\nAnswer: 36*j**2*s**2 - 73470*j*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-95))\/((-153)\/561)\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.053 and 559637.\nAnswer: -589297.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-18)\/(-30))\/(1728\/(-720))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 62567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*c**5*s + 2*c**4 - 3*c**3*s - 19*c**2*s + 2*c**2 wrt c?\nAnswer: 1800*c**2*s + 48*c - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2805 - 2805.1. Which is the smallest value? (a) 10 (b) t (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -63.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**44\/(u*u**(-2\/39)*u) assuming u is positive.\nAnswer: u**(1640\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 462821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 + 52*s - 154. What is i(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/9 + (-5054)\/6498\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*f + 588 + 346, -2*f = 6. Let a = h + -917. Solve -4*l + 4*n = -4, a = 3*n - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1122*l**2 - 50*l + 91. Let k(y) = 748*y**2 + 33*y - 60. Let m(x) = 8*k(x) + 5*u(x). Is m(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.201 + -0.001. Let v = -31 + r. Let f = -4.8 - 0.2. Which is the third biggest value? (a) v (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/5)\/((-6)\/45). Suppose -2*d - 2*t = -10, d - t + 1 = 6. Solve -d*w + k = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330726 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*1 + -5*sqrt(68)*2 + sqrt(68))\/(-4*(sqrt(256)*1 + (sqrt(4) - -2*sqrt(484)))).\nAnswer: 11*sqrt(17)\/124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833303 a multiple of 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -j + 69, 17*j = -5*u + 21*j + 132. Calculate the lowest common multiple of u and 174.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 divided by 71?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(11) + sqrt(11))**2*5 + 0.\nAnswer: -100*sqrt(11) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4885mg to nanograms.\nAnswer: 488500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60172.9ng in tonnes?\nAnswer: 0.0000000000601729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -77, -97, -135, -197?\n\"Answer: -i**3 - i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i + 2. Let n be d(0). Suppose v - 2*v + n = 0. What is the third derivative of -4*z**2 - 4*z**2 + 2*z**v + 6*z**4 wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1377) + -1)*2)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20030 (base 5) to base 6\nAnswer: -5505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2100 and 42?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 72\/(-108) + ((-230)\/(-3) - 2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -1033\/16?\nAnswer: -1033\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -169634\nAnswer: 848170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004934 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1868)\/(-516) - (-1 + 4). Let p = 2\/43 + x. What is the third smallest value in -0.1, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13762*h + 151370. Determine s(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5199107 + 1793\nAnswer: -5197314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 1888?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*7473\/(-4982)*31\/3.\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-20)\/(-246)) - (-65)\/(-26). Solve 3*n - f = 62*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1618, -3084, -4246, -4948, -5034, -4348, -2734, -36?\n\"Answer: 26*l**3 - 4*l**2 - 1636*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 2, s: 2, w: 1, l: 2, y: 1}. What is prob of sequence lywl?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 28*p**2 + 24. Let r(k) = k**2 + 1. Let v(x) = d(x) - 20*r(x). Find the first derivative of v(c) wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.8316um in nanometers?\nAnswer: 495831.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:57 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 6. Let f be s(-6). Let l = 2 - f. Solve -l*d = d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35390 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20839840 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 13. Let p be 28*(-7)\/(-28) + -13. Let a(n) = n + 1. What is p*a(z) - h(z)?\nAnswer: -3*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z + 35 = -70 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:43 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 6336.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1691 - 663 - 668)*(6*d - 2*d - 2*d)*(0*d**3 + d**3 + 2*d**3).\nAnswer: 2160*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -24*((-2 - -1) + -1). Let d = 47 - h. Let b(o) = -5*o. Determine b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-7)*(-12516)\/(-1192)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 + 2*i. Let k be c(1). Let q be (k + 1)*(3 + -1 - 3). Which is bigger: 1\/184 or q?\nAnswer: 1\/184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07934 + -0.077582. What is d rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-8\/5)*t*t)*t)**(-1\/44)*(t*t*t*(t**(2\/39)*t)\/t)\/(t*t**(2\/25)) assuming t is positive.\nAnswer: t**(20752\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -t + 16, -4*t - 5*d + 55 = t. Suppose t = -3*b + 6*b - i, 0 = 2*i. Let o(p) = 2*p - 36. Let w be o(21). Solve w = -b*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4194545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 2903 + 2903 - k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 259020 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 17 = 6*j. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034292357 to seven dps.\nAnswer: 0.0000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(-6)*(b**6\/b)\/b*b)**(-10) assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aja when three letters picked without replacement from {j: 5, a: 5, w: 3}.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*37\/(185\/(-150))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115601 + 46?\nAnswer: 115647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 217 = -4*j, 0 + 16 = 4*j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**7\/210 + 11*b**6\/120 + 49*b**4\/8 - 136*b**2. Find the second derivative of d(g) wrt g.\nAnswer: 12*g**2 + 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-936))\/((-33)\/110)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 1, a: 1, b: 1}. What is prob of picking 1 a, 1 b, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/567 and (-2975)\/(-510) - ((-10)\/(-6) + -2 - 0).\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + 3*w - w + 3*w - 3*w + (-2 - 1 + 5)*(0*w - 4*w + 5*w) + 2 - 2 + 2*w - 2*w + 0*w + 0*w + 5 + 3*w - 5 - 3*w + w + 4*w)*(5*w + 0*w - w).\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/20 - j**4\/2 + 5*j**3\/6 - 7*j**2\/2 - 2*j. Is 13 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.24 + 0.84. Let x = -4.6 + p. Let o be 3\/2*(-4)\/12. Is o > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/25 + -1\/25. Let h = 67126 + -67127. Sort h, 0.8, o.\nAnswer: h, o, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 105, -3, 0, 609 in increasing order.\nAnswer: -3, 0, 4, 105, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 - 80. Calculate the remainder when 46 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/((-42)\/(-4)))\/1. Let k = 12 - 14. Is k < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9097?\nAnswer: 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 9. Let c = w + 5.9. Let v = 19 - 75\/4. Which is bigger: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1415 + -334. What are the prime factors of j?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b**3 + 6*b**2 - 154*b + 30. What is the hundreds digit of j(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c + 3 - 4*c - 2*c)*(2*c + 2*c**3 - 2*c).\nAnswer: 2*c**4 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5575979 + 5575976.100029. Let x = p + 2.9. Round x to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -0.1. Let i = 104300 + -104304. What is the nearest to -4 in i, h, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 891, 0.1 in descending order.\nAnswer: 891, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - q - 6, 0*u + 4*u + 2*q = 16. Let d = -6 - -11. Suppose u*a = 0, d*t = -a + 4 + 1. Sort 2, -5, t in decreasing order.\nAnswer: 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2*s**3\/3 + 15*s**2 - 11*s + 2. Let t(n) = n**2 + 15*n - 5. Let x(p) = -6*q(p) + 11*t(p). Is x(-14) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 485 = -5*r, -9*r + 8*r = 3*h - 97. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x + 8. Let b be v(2). Sort -1, b, 2 in ascending order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 16.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1503 = 5*j + 30, 0 = 2*w - 2*j - 1480. Suppose 3*f = -4*m + 512, w = 4*f - 5*m + 15. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 11 = -a + 2*r, -5*a + 113 = 4*r. Suppose 4*b = c + 2*c + 251, b - 5*c = 67. What is the remainder when b is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (22 + -6)) + (-2 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1410164 (base 8) to base 7\nAnswer: 3243453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -25.1.\nAnswer: -43.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-76) - (2\/(-5))\/(570\/(-150))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {f: 5, i: 1, c: 5, p: 1, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 225725188 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**6\/600 + 14*d**5\/75 + 11*d**4\/24 + d**2 + 1110. Find b such that m(b) = 0.\nAnswer: -55, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2856 + -0.1144. Which is the nearest to 1? (a) 4 (b) s (c) 60 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 4*j - 12, 4*j + 24 - 20 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46700 and 580.\nAnswer: 1354300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4037 and 53\/121?\nAnswer: 44407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/2*(-4)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*o - 68, 1106*o - 1104*o + b - 47 = 0. Solve -o*c = -42*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129032.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {t: 2, j: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + 0.29. Let s = 3.3 + -0.3. Suppose 2 = -5*y - 3. Which is the nearest to y? (a) 2 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/((-78)\/(-26))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + (-12)\/24. Solve k + 2\/9*l**3 - 2\/3*l**2 + 4\/9*l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27.477708 months?\nAnswer: 2.289809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 6. Suppose 0 = -5*h - 3*m + 5 - 30, s*m = 3*h + 39. Let k = h - -23. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17131385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8822 - 3513 = 5*p, -5*p + 4*h = -5327. Let a = p + -4239\/4. Factor -a*o**3 - o + 0 - 1\/4*o**5 + 3\/2*o**4 + 3*o**2.\nAnswer: -o*(o - 2)**2*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5681 is divided by 2837.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 23 - 89 + 1194*s - 1189*s)*(-3*s + 6*s - 2*s).\nAnswer: 5*s**2 - 130*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -954566 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-24)\/(-27)) - (-2 - -4). Let y be 2\/6*(-2)\/2. Which is the closest to 0? (a) -4 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 5*r**2 + 13*r + 10. Let o be c(7). Suppose 0 = -x - 5, -o*a + 5*x = x - 320. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*s**2 - 3*i*s + 55006*s**2 - 63557 wrt s.\nAnswer: -4*i + 110012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffjjfffffjjjfuu. What is prob of picking 2 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2409\/(-9) + (-3 - (0 + 2)). Let q = f + 282. Solve 14\/3*t - q*t**3 - 8\/3*t**2 + 4\/3 + 4\/3*t**4 + 14\/3*t**5 = 0 for t.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 10:10 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 470581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 + -21241778?\nAnswer: -21242105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 + 61*y**2 + 189)*(2 + 1 + 0).\nAnswer: 183*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let r be s\/(-8) - 1979\/36. Let f = r + 55. Put f, -4, -0.2 in ascending order.\nAnswer: -4, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.4403 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16446116 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9873.9991942 - -9874. Round c to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3233?\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19ac74 (base 16) to base 12.\nAnswer: -691844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a factor of 1386531191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - j - 13 = -s, 11707*j = 11706*j + 2*s - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9800225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -5*a**4\/12 - 10*a**3\/3 + 4*a**2. What are the prime factors of m(-9)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d - 2. Let q(a) = -67*a - 9. Give -2*q(f) + 11*w(f).\nAnswer: -9*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9 + 2\/3. Let v(q) = -q + 3. Let m be v(6). Let c = m - b. Sort 1, 0, c in decreasing order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Let j be q(-1). Suppose 8*u - 3*u - 100 = j. Let c be u\/(1\/3*2). What is the greatest common divisor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0550978 and -0.91.\nAnswer: -0.050138998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1299.41 and 0.01?\nAnswer: 1299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14337609 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1053, -535 in decreasing order.\nAnswer: -5, -535, -1053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39474 and 41.2?\nAnswer: -1626328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/807 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7633, 15493, 23817, 32833, 42769, 53853?\n\"Answer: 38*b**3 + 4*b**2 + 7582*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 39 = -10*f + 7*f, 5*a = 2*f + 53 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**16*t)**(-2\/3)*t**(-32)\/(t**31*t*t))**(-6\/7) assuming t is positive.\nAnswer: t**(458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(12 + -18 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1254 and 5\/30822?\nAnswer: 585618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**3 - 1. Let b be k(-1). Differentiate b - 3 - 2 - 3*v wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/6656 and -21\/416.\nAnswer: 6656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - (300 + -186) - (0 + -3 - (69 + 0)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -12. Let i be (9*-1)\/3 - b. Suppose 84 = i*v - 4*n, -v - 3*n + 12 = -20. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.8154mg in grams?\nAnswer: 0.3518154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1646762623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2632 and 20.\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529902763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224114863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18600 divided by -155\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14010269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p + 177 - 128 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 2*a**2 - 4*a - 5. Let v be s(-2). Solve 2*c - z = 2, -c + 4*z = v*c - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*f**4 + 28*f**4 + 15*f**4)*(5 - 3 - 3) + (-10*f + f + 3*f)*(f**3 + 0*f**3 - 2*f**3) in the form t*f**4 + l*f**3 + j*f**2 + p*f + k and give t.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27886 and 169502?\nAnswer: 197388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-20 + 20 + 17*k**2) + (-244*k + 1012*k - 431*k)*(0*k + 0*k + 2*k).\nAnswer: 640*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Suppose 2*h + 5*x - 163 = -2*h, 3*h - 126 = -3*x. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - c = -6*c + 3889, -5*m + 6455 = -5*c. Suppose -1635 = -4*w + m. Suppose -w = 12*v - 16*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 32 = -8*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 140, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 + (8 - 18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, -14, -3, -2\/3, 3.3.\nAnswer: -14, -3, -2\/3, 3.3, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 26. Solve -2*q - 6 + 17 = 5*u, 4*q - 14 = -y*u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111.27696 - 200.7077. Let z = 89.39074041 + h. Let d = z + 0.04. What is d rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.6 - 7. Let a = f + -0.5. What is the third smallest value in -3, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 388*c + 41*c - 620 + 74.\nAnswer: -340*c - 546","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 + 4. Let y be x(4). Suppose -4*u = l + 2*l - 1, 5*u = -y*l. Suppose 6 = t - u. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15840631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-66))\/(4\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1544180703 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 1:57 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 40. Let x be c(-6). Calculate the highest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/5 (b) 1\/20 (c) 0.03 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 244904 and 117128.\nAnswer: 2693944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 179 (b) 9\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeepyeexeypxtxrpe. What is prob of sequence rt?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -92*f + 559. Let o be i(6). What is the greatest common divisor of o and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69.3 * -10.5\nAnswer: -727.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239304029*i**4 - 106411111*i - 3 wrt i?\nAnswer: 2871648348*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1060, -1188, -1560, -2308, -3564, -5460, -8128?\nAnswer: -11700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = s - 2*s. Suppose 6*p = p + s. Suppose -2*z = -3*x - p*z + 110, 0 = -5*z - 10. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166641 (base 7) in base 8?\nAnswer: 447313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*p - 6 = -r, 0 = -r + 2. Let v = p + 5. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 != 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 771\/17 - (40 + (-33026)\/833)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 130*u + 148. What is the units digit of z(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80565, 80667, 80769, 80871, 80973, 81075?\n\"Answer: 102*a + 80463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.9 + -44.9. Let i = 30.1 + r. Let g = i - -7. Sort -0.2, 2\/3, g in increasing order.\nAnswer: -0.2, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -637177 (base 9) to base 15\nAnswer: -77571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.14303 (b) -4 (c) -9\/2 (d) -457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l - 2 + 2 + 0*l as w + o*l and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15248981 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.36305 plus 5?\nAnswer: 8.36305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 30 = 2*s. Suppose -3*d - l + s = -3*l, -3*l - 6 = 0. Determine p so that -4\/9*p**d + 0 - 2\/9*p**3 - 2\/9*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536879 is divided by 322?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12085*v + 19. Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 + 315. Let z = 0 + 1. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 55*q + 838. Let i(h) = 23*h**2 - 31*h - 25*h - 839 + 22*h**2 - 48*h**2. Let b(a) = 6*i(a) + 4*y(a). Suppose b(d) = 0. Calculate d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -3. Let g be -3 + ((-8)\/(-4) - b). Suppose r - g*m = 19 + 8, -3*r = 2*m - 53. Calculate the remainder when 73 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90099396?\nAnswer: 2, 3, 2502761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25468188643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59.6938 + 501671.6938. Let h = -501610.7000096 + o. Let c = h + -1.3. What is c rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 154 = -4*p - 3*n, 3*p + n = -94. Let i be p\/(-132)*(-9)\/(-12). Which is the second biggest value? (a) i (b) 0.2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289391703?\nAnswer: 3, 96463901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87258 or -823?\nAnswer: 87258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -963*l + 446*l + 5111*l + 2475*l to v*l + h and give v.\nAnswer: 7069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -109, -119, -129, -139?\n\"Answer: -10*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-18 - 70) + 23 + (-2 - -13)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*c**3 + 1200*c**2 + 6435*c - 1210.\nAnswer: 5*(c + 11)**2*(11*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gstgsqnv. Give prob of picking 1 v and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -635, -1415, -2495, -3869, -5531?\nAnswer: -7475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30192, 49426, 68660?\n\"Answer: 19234*q + 10958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5 - n + 5 + n**3 + 28. Does 16 divide x(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 11*m**2 - 14*m - 10. What is the units digit of z(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l**3 + 31940*l**2 - 25528*l + 5104 = 0.\nAnswer: 2\/5, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 277635.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5472 = 128*k - 104*k. What is the remainder when 459 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f - 16 = -36*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19\/4*r + 17\/2 + 1\/4*r**2.\nAnswer: (r + 2)*(r + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrerrrrrre. Give prob of sequence err.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 7. Suppose p*q + 2*q - 36 = 0. What is the third derivative of 61 - 61 - q*j**3 + 7*j**2 wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 9*q - 7*q, -39 = -4*q + 5*s. Solve 5*b + q - 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631490685.\nAnswer: 5, 11, 29663467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/3962 and 248.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = -l. Let j(o) = o + 12. Let q be j(l). Solve -20 = -2*r - q*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1198195\/83 or -14435?\nAnswer: -1198195\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 665620 (base 7) to base 6\nAnswer: 2302531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 135*t**2 + 414*t - 145. Does 22 divide f(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2 - -3.1. Let n = i + 1.2. Put n, 2\/7, 1 in descending order.\nAnswer: 1, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7 + 5 + 33*o + 33*o - 67*o. Give t(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -328d - 3?\nAnswer: -3292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 8*w**2 - 3*w + 5. Let b(c) = c**3 + c**2 - c + 1. Give 3*b(j) - m(j).\nAnswer: -j**3 - 5*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**7*x))**(-38))**(8\/3) assuming x is positive.\nAnswer: x**(2128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {v: 2, s: 3, r: 4, h: 1, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2. Let d(k) be the second derivative of 5*k**3\/2 + k + 7. Calculate p(d(t)).\nAnswer: -1125*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16564963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4565251 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*u - 16*u**2 + 48 - 4*u - 45 + 15*u**2 in the form o + f*u + q*u**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 6199\/(-6) - 1. Let c = 1028 - a. Let o = c - -313\/78. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/7 - 258*y**3\/7 + 783*y**2\/7 - 4*y\/7 - 1044\/7 = 0. What is y?\nAnswer: -261, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 greater than -71752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (418 - -22)\/((1\/1)\/1). Suppose 8*y - 488 = -h. Solve j + 3 - y = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*b + 16*b = 1188 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.412649um in nanometers?\nAnswer: 5412.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -35. What is the remainder when 33 is divided by -38*3\/(-18) + u\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4965840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1034?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272308036 by -20946772.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 + 12 - 3*l + 142 to t*l + q and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343996 divided by 4.\nAnswer: -85999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - y**2 + y + 3. Let z be h(0). Suppose 1 = -4*r + z*r. Let m(s) = 7*s**2. What are the prime factors of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672 is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -14*r - 1071. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 8, 2\/145, -0.2, 0.098 in decreasing order.\nAnswer: 8, 1.1, 0.098, 2\/145, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c - 18. Calculate q(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*l - 22 = 0, 9 = 2*f + 4*l - 11. Suppose 2*y = -f*y + 8. What is the units digit of y\/5*4*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhh when three letters picked without replacement from {h: 4, b: 14}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2458*a + 983356. Determine s(503).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 13*c**2 + 12*c - 14. Calculate i(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (5 + 13 + -1 + 1 + 6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 4*h. Let y be l(4). Suppose y = 4*c + c. Let f be c\/(2\/6*3). Solve -5*z + 2*q + 14 = f, -z + 6*q + 12 = q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 minutes before 11:04 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3 + 44*c. What is i(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -623.7 + 624. What is the second biggest value in p, 38, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 15*w - 11*w + 15, -2*k - 4*w - 6 = 0. Suppose k*g + 3*c - 20 = 2*g, -2*g - c + 30 = 0. What is the highest common factor of g and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let n be j\/6*-13 - 2. What is q in n*q**4 + 0*q**3 - 1\/3*q**2 + 1\/6 + 0*q = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 = -70*j + 275. Let v = 9 + -4. Let o = 4 + -3. What is the second biggest value in -0.1, o, j, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-6)\/3*101*(-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 222\/(-21)) + (-6)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -48\/43?\nAnswer: -48\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/5 - 6436*z\/5 + 5093088\/5 = 0.\nAnswer: 924, 5512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40052 and 988?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 16?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -0.0370857\nAnswer: -0.8900568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/356 and -47\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 7*d - 2. Give l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 15*l - 24. Solve 0 = -2*w - l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0144 times -197.24\nAnswer: 2.840256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q**3 - 2*q - 1. Let l be w(2). Let s be l\/(-6)*(-24)\/15. Solve i + 4*i = s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/1628 and 95\/444?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12 + 82\/12. Let l = -3 + b. Solve 5*g = -3*o - 17, -l*o + 6 = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*z**3 - 15*z**2 + 2*z**2 + 74*z**3 - 173*z**3.\nAnswer: -11*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2.1, 5, 0.05 in ascending order.\nAnswer: -4, -2.1, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*v - 104*v + 86*v = -1290 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266 by 12.\nAnswer: 133\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, 10, 29, 50, 73, 98, 125?\n\"Answer: j**2 + 14*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u**2 + 9*u + 9. Let t(x) = -17*x**2 - 10*x - 11. Let f(b) = -4*t(b) - 5*z(b). Calculate f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 5*f**2 - 5*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -91, -5, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*y + 4*p + 16 = 244*y, -5*y + 20 = 3*p. Let s(t) = 4*t**2 - t**3 - 5*t + 0*t**3 - 4 + 1. What is s(y)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4))\/(5*2496\/320)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 48*y**2 - 261*y - 212.\nAnswer: (y - 53)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -6\/5, 656\/5, -1\/13 in decreasing order.\nAnswer: 656\/5, -1\/13, -2\/9, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11232824 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/2 + -15. Calculate the common denominator of 23\/20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -401.3, -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-76)\/133*105\/10*-2. Sort -54, k, -3 in increasing order.\nAnswer: -54, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2\/9 (b) -6\/17 (c) -11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1585466 divided by 2\nAnswer: 792733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.61 and 117187.\nAnswer: -423045.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207 by -2370.\nAnswer: -69\/790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) 0 (c) 1.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063128091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbubbuubuuubbbubu. Give prob of picking 2 b.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7813*n**6 + 48*n**5 - 4*n**4 + 3*n**2 + 1304*n - 187 wrt n.\nAnswer: 937560*n**3 + 2880*n**2 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127629930.\nAnswer: 2, 3, 5, 83, 51257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -896 + 10?\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, n: 7, a: 4}. What is prob of sequence nj?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 12) to base 13\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 3, 0.7, 4\/21, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54700 rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0, 5, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5911468 and 7310?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/6)\/(4\/6). Suppose -c*f - 25 - 98 = -3*i, -5*f = 2*i - 82. What is the highest common factor of i and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266\/5 at least -2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8448 and 880.\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbnbbnn. What is prob of sequence bbnb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2020 + 2015. Sort -6, q, 2, -24 in descending order.\nAnswer: 2, q, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 33*c - 3*i = -9, 2*c + 4*i - 18 = 0. Put c, -283, 3 in descending order.\nAnswer: 3, c, -283","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, s: 5, f: 2, y: 3}. What is prob of picking 1 s and 1 f?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 67*s - 1036. Let w be k(13). Sort w, -2, 6, 7.\nAnswer: -2, w, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 156*h**3 - 126*h**3 - 96*h**3 - 2*h.\nAnswer: -379*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let i = 5 + -2. Let h(a) = -4*a**2 + 5. Let r(z) = -2*z**2 + 3. Let p(k) = i*h(k) - 5*r(k). Calculate g(p(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let a(p) = -64898*p. Determine a(i(d)).\nAnswer: 64898*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w*x**3*z - 2*w*x**3 - 2151*w - 57236*x**3*z - 2*x**2 + 7*x*z wrt x?\nAnswer: -12*w*z - 12*w - 343416*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caajacccacaaajajqa. Give prob of sequence jc.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3056 divided by -268784\nAnswer: 191\/16799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from oeeelokkoooekoddeo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -0.02\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00666688 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110677631941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w, -43 = -3*s - 3*w - 1. Let z be s\/(-88) - (400\/(-55))\/(-4). Put z, -5, -31 in descending order.\nAnswer: z, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 35.46314ug?\nAnswer: 0.00003546314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121824195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-4680)\/(-39)*-4*(4 + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11856189 - 3*n**2 - 11856189.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11 = 224. Suppose -25 = -5*z, 2*o + 2*z = 3*z + x. Calculate the remainder when o is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15902 or 15947?\nAnswer: 15947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + (-117)\/(-18). Suppose 0 = 12*b - 8*b - 196. What is the highest common divisor of b and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.592 + -0.408. Sort q, 0.3, 79 in ascending order.\nAnswer: q, 0.3, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o + 1 - 1)*(1 + 1 + 2) + (-2 + 2 - 2*o)*(1 + 0 + 1))*(-1 - 1 - 10).\nAnswer: 144*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Put 4, k, -3, 2 in ascending order.\nAnswer: -3, k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -54. Let z = o - -95. Suppose -u + z = -184. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bf - 2?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - 3 - (17 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let q(g) be the second derivative of g**6\/360 - g**4\/12 + 4*g. Let s(l) be the third derivative of q(l). Give s(y(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - j = 184, 3*z - 279 = 2*j - 4. What is the remainder when 100 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - (-179 - (66 + -146))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*w + 305, -4*w - 158 = 3*n - 1051. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883009347.\nAnswer: 3, 11, 26757859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/18)\/((-2)\/(-20)). Suppose -2*w - 109 = 2*c + 3*w, -3*w = -3*c - 132. Let t be (c\/(-5) - 10\/25)*1. Solve 5*h - 35 = -5*y, -o*h + 14 = y - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -33, 1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-60) - (14 - (-116070)\/(-8550)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*d - 1628*d = -102810 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 60*m**3 - 6*m**2 - 176*m + 120.\nAnswer: 2*(m - 1)**2*(m + 2)*(m + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 7*k**2 - k - 7. Let c be q(-7). Let j = -7\/52 - -265\/1196. Do c and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 244 = 46. Calculate the lowest common multiple of p and 884.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4123 and 84630.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*i + 34, i = 2*q - 7*q + 17. Solve 3*m - 8 = i*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 30. Let c be -92*(0 + g\/(-8)). Suppose -4*t - 4*l = -217 - 59, -t = 3*l - c. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8584 is divided by 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2726 - -197. What are the prime factors of m?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f\/f**(1\/7))\/f)\/((f*f\/(f*f*f\/(f\/(f**(-1\/6)*f))))\/f))**(12\/11)*(f\/(f\/(f**(-3\/2)\/f))*f*f**5)\/(f*f*f**(-1\/3))**(3\/46) assuming f is positive.\nAnswer: f**(13136\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265*d**2*p*s**2 + 2434*d**2*s**2 + 2*d**2*s - 2*d*p*s + 15*d*p + 59*d*s**2 + 3873*d*s wrt d.\nAnswer: -530*p*s**2 + 4868*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuauauuuuaaaauua. What is prob of picking 3 u?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5\/h*h*h\/(h**0*h)*h*((h*h\/(h\/(h\/(h*h**(2\/5))))*h*h*h*h*h*h)\/h)\/h**(4\/3) assuming h is positive.\nAnswer: h**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k + 20. Let a = 0 + 4. Let d(f) = 1 - 2*f + 3*f**2 + a*f**2 + 4 - 8*f**2. Give d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 + 3*d - 5. Let b(k) = -23*k**2 - 9*k + 14. Suppose 3*y - 45 = 5*p, p + 3*y = -2*y + 19. Calculate p*b(q) - 17*h(q).\nAnswer: 2*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 2*o**2 + o + 3. Let g(f) = -114*f + 17 + 236*f - 120*f. Let x be g(-8). Let l(s) = -s**3 - s**2 - s - 1. What is x*z(b) + 2*l(b)?\nAnswer: -b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31876, 60724, 89572?\nAnswer: 118420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/5 + 3292*y**2 - 509537*y\/5 + 3910102\/5 = 0?\nAnswer: 14, 17, 16429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4188314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose -t*o + 7*o - 12 = 0. Which is the closest to 0? (a) o (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29752201 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -438838?\nAnswer: 438845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (149\/894 + 1876\/(-24))\/2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 9. Let h be (-2)\/((-2)\/(-9)) + 33 + -13. Solve z*c - h = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1270140 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 + 24*x**2 - 16*x**2 - 20*x**2 - 15*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(84))\/(sqrt(588) + 2*sqrt(588) + sqrt(588))*-1.\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 11*g**6\/180 + 142*g**5\/45 - 349*g**4\/36 + 6*g**3 + 2*g**2 - 45. Solve h(k) = 0 for k.\nAnswer: -27, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*n + 28, -3*n - 8 = -6*z + z. Suppose 1 - z = -w. Find the third derivative of w*f**5 + f**2 - 2*f**5 + f**2 wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21574 + 22928. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 109 - 29 + 159 - 2576*j.\nAnswer: -2576*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000733934 to 7 decimal places.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*i**3 + 23*i**3 + 17*i**3 + 12 - 12 + 17*i**3 + i**2 - i**2 - i**3 + (0*i + 4*i - 3*i)*(2*i**2 + 3 - 3).\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 375135.526 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40590 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4012 - -202230?\nAnswer: 143213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiilweuuluuuuwee. Give prob of picking 1 e and 1 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 25*o**2 + 68*o + 1382. Give n(29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.55 + -0.75. What is the closest to 2\/11 in 4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 2*w**4 - 89*w**2 + 119*w**2)*(8 - 8 - 5*w + (1 - 2 - 1)*(w + 3*w - 3*w) + (-1 - 4 + 2)*(0*w - 5*w + 4*w)).\nAnswer: 4*w**5 - 120*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252447478 to the nearest integer?\nAnswer: 15889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n + 386. What is the remainder when i(-9) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 31, -11, -5, 3.\nAnswer: -11, -5, -3, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 8. Let b be (133\/(-28))\/(n\/(-72)). Suppose 4*f - 69 = 4*k + b, -f + 56 = 3*k. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 25164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/29)\/v*v\/v**(1\/4)*v**(-16)\/(v\/((v*v**16)\/v)) assuming v is positive.\nAnswer: v**(-137\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1367a (base 12) to base 14\nAnswer: -9b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.31 - 2640.71203083.\nAnswer: -2640.40203083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5482 is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*t = -2, 3*k + 2*t = -k + 16. Is 4 a factor of k\/(-5) + (-22)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -5\/2, 2836?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 16\/1438913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 7*f + 224. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j + 224. What is g(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 2*t + 5 = -4*x - t - 3*t - 2*t + 43, -202*t - 2020 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:34 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169199 = -209*q + 140121. Calculate the highest common factor of 760 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 7. Let w be 2\/8 - (-360)\/(-160). Let h be q(w). Solve -x = 4*x + 3*i - h, -x - 17 = -3*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 9544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + 4 - (sqrt(11) - (4 + sqrt(396)))) + 5.\nAnswer: 13 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -43*i**3 - 3*i**2 - 3*i - 2. Let n be y(-2). Suppose 0 = 2*s + s - n. Suppose -d - f = 2*d - 366, s = d - 3*f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**5\/20 - c**4\/3 - 2*c**3\/3 - c**2\/2 + 4*c. Let s(b) = b**3 + 3*b**2 + 3*b + 1. Let t(k) = -5*s(k) - 4*w(k). Factor t(u).\nAnswer: -(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.024 - -5.006. Let r = -1296 + 1301. Let u = v - r. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4772021l?\nAnswer: 477.2021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 468*a - 456*a = -64, -3*k = 5*a + 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*f - 10 = 13, -5*v = 2*f + 17. Let r = v - -16. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.4582 - 0.4508. Round c to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9850477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, s: 5, r: 8}. Give prob of sequence ssro.\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-4 + (-10 - 3) + 25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7076 + -6916. Calculate the greatest common factor of z and 1180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 617223323*t**2 - 411687802*t wrt t.\nAnswer: 1234446646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/376 and 11\/1580.\nAnswer: 148520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, i: 2, h: 6}. What is prob of sequence hi?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 - 2*l + 17. Let y be m(5). Calculate the highest common divisor of 160 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = 0, -2*c + c - 21900002 = -k. What is k rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.287 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6747 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-72 + 69 - (-20 - -5)) + -23\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1077*u**2 + 1069*u**2 + 7*u - 7*u. Let d(k) = -31*k. Determine d(m(i)).\nAnswer: 248*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose n + 3*y - x = 4*y, 2 = -n + 3*y. Solve 0*v - v - 5 = 0, -n = i + v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 3 = 0, 3*s = 2*x + 9. Suppose x = 3*t - 13591 - 4178. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 207*q + 27. Let b(d) = -1 - 1 + 5*d - 15*d - 6*d. Let z(y) = -27*b(y) - 2*f(y). Give z(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-23)*a**(-10)\/a)\/((a\/a**(-16))\/((((a*((a*a**(-14)*a)\/a)\/a)\/a)\/a)\/a*a*a*a)) assuming a is positive.\nAnswer: a**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4884 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (4 - 0) + (-3)\/4. Factor -3\/4*r**2 - 1\/4*r**4 + g*r + 3\/4*r**3 + 0.\nAnswer: -r*(r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 - 4*y**2 - 132*y - 252 = 0. Calculate y.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-5)\/1)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/4*503188\/(-21). Let t = -7925161\/147 + i. What is the common denominator of 80\/231 and t?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:59 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + -1*sqrt(65))*4)\/(sqrt(45) + (sqrt(405) - sqrt(45))))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, 1994, 4035, 6076, 8117, 10158?\nAnswer: 12199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00151406 to 5 decimal places.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 1)*(6*t + 4 - 4 + (2 - t - 2)*(2 + 3 - 6)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j - 14. Give d(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1793, -3605, -5407, -7193, -8957?\nAnswer: -10693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-115)\/20)\/(1\/(-4)). Let o = -14 + k. Calculate the lowest common multiple of 4 and (1 - 1)\/(-2) + o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4801.093 minutes?\nAnswer: 288065.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6467563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/52*9 + 4\/(-26). Suppose z*v - 130 = -2*o, 0*v + 5*o + 137 = 4*v. Calculate the remainder when (v\/9 + -1)*66\/8 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/(-15)*41\/(-6). Let v = r - -28. Sort v, -5, -15 in increasing order.\nAnswer: -15, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in -1\/5, 0, -7, -88, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/4 + 241\/52. Let k = n - -11\/39. Let m = -264 - -261. What is the closest to k in 0, m, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 797471499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-56) - (-2)\/16. Suppose l = 3*o + j - 13, -8*o + 4*o + 19 = 3*j. Solve o*v = 5*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Suppose -3*g + 4 = -z, 2*z - 5*g + 0*g = -i. Solve -l + 3*l - 6 = z*v, 5*l - 15 = 3*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -65. Suppose -5*d - 3*a + 3548 = 0, -10*d + 5*d - g*a = -3547. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47183.\nAnswer: 29, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2895596426?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/(-84) + (-7)\/(-3). Sort 0, 3, l, -21 in ascending order.\nAnswer: -21, 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/11440 and 17\/1716.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -12.3. Which is the nearest to 0? (a) -1\/10 (b) 0.17 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2092 + -2094. Which is the third smallest value? (a) 1\/7 (b) 17 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10.45. Let p = h - -2.55. Put 1\/6, -5, p in ascending order.\nAnswer: -5, 1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-13)*(-10)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 4*o**2 + 10*o - 10. Let j(d) = -3*d**3 + 10*d**2 - 29*d + 28. Give -6*j(h) - 17*x(h).\nAnswer: h**3 + 8*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 = 72*s - 264 + 77. What is the remainder when 31873 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359497349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, -5, -477491 in ascending order.\nAnswer: -477491, -14, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 2167?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(-a - 10*a + a)*(60 - 16*a**2 - 60) + (-3*a**2 + a**2 + a**2)*(0*a - 2*a + a) as u*a + d*a**3 + n + s*a**2 and give d.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 - 11*x**3 - 10*x**3 - 16*x**3.\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -94 (b) -19 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(11) + 5) + 0 + sqrt(11) + -4 + -4)*-4*3.\nAnswer: -144 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*d - 17*d**2 + 4*d**2 + 60*d + 12*d**4 wrt d?\nAnswer: 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 equal to 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 2162544?\nAnswer: -2162550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -10.9.\nAnswer: -32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(1 + (-2 - -1)). Suppose 2*z - 4*z - 4 = s. Let f(k) = k**2 + k + 1. List the prime factors of f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.238 - -0.371. What is v rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(2 + sqrt(208)) - (-5 + (sqrt(208)*-1)**2 - sqrt(208))*-2.\nAnswer: 8*sqrt(13) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = q - 5*q. What is the least common multiple of 6 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + (-118)\/24 + 6 and -45\/26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 1\/6*r**4 - 1\/2*r**2 + 7*r + 0*r**3 + 0. Find the first derivative of j(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-315036)\/1073456*4\/(-54)\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + 20 - (-4)\/(-1). Let a be ((-4)\/(-3))\/((-16)\/h). Does 8 divide ((-16 - -3) + 3)*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28839000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/2 - 3875*a**4\/2 + 34801*a**3\/2 - 27053*a**2\/2 - 17401*a + 15464 = 0.\nAnswer: -1, 1, 8, 3866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 3, f: 1, x: 3, q: 1, l: 2}. What is prob of sequence qx?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -14*z**2 - z + 22*z + 4*z**3 + 20*z - 4*z**2 - 3*z**3 + 64. Let v be i(15). Solve 0 = -0*t + 4*t + v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 401 + 3291. Let m = -1951 + r. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 11*l**5\/10 + 6*l**2 + 8*l. Find the first derivative of k(w) wrt w.\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 700?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573141 by -191047.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (9 - (-12 - -20)) + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584, 661, 2738, 5647, 9388, 13961, 19366?\nAnswer: 25603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4966\/9 - -636215\/1152. Find the common denominator of -95\/64 and p.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*k = 203, 6*b = 2*b - 4*k + 208. Let p = 144 - b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 6*d + 1. Let f(w) = 2*w**2 - 17*w - 3. Calculate 6*f(i) + 17*j(i).\nAnswer: -5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-42) + (-10)\/3. What is the common denominator of -42\/25 and l\/24*-58*(-3)\/(-2)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 200*(-9)\/(-18) - -8. Suppose 5*g = s - x, -19 + 10 = 3*g. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*r + 59*r - 22*r = 1005 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.0662843 millimeters?\nAnswer: 66284.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 27 - 35. Find the first derivative of -119*a**3 + a**p + 119*a**3 + 39 - 18*a**4 wrt a.\nAnswer: -68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (0 - -2) + 108 + -103.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47613.09 millennia in centuries?\nAnswer: 476130.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -867.0425264 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/32)\/(1\/(-4)). Suppose -l*j - 5*s = -65, -3*s - 54 = -3*j + 3. What is the highest common divisor of 30 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*x + 25 = -5*h, 822*x - 14 = 818*x + 2*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (66 + -72)\/((-6)\/2). Let v(w) be the second derivative of 0*w**3 + 0 + 0*w**6 + 1\/60*w**5 + 0*w**4 + 0*w**m - 1\/126*w**7 + 3*w. What is q in v(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 19) + (64 - 32)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 5)*(6 + 9 + 3)*(-3 - x + 3).\nAnswer: -72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2445, 0.5, 2\/9?\nAnswer: 2445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255 divided by -251?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121177 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 64. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -9*a**2\/2 + 18*a + 6. Let x be y(-10). What is the remainder when 14 is divided by (-24)\/x - (-29)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155620274?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 2*o - 7. Let v = 2 + -1. Let p be 3*-2 - (-3)\/v. Let m = p - 2. Determine s(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3854 by -4684.\nAnswer: -1927\/2342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n*n\/(n*n*(n*(n**0\/n*n*n)\/n)\/n))\/n)\/n*n)**(-24))**(-1\/50)*((n*n*n**6)\/n**(-2))**(-2\/9) assuming n is positive.\nAnswer: n**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 - -0.03. Let m = -4.04 - n. Let o = 0 + -0.5. Which is the second biggest value? (a) 1\/3 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*k = k - 1, -2*v - 4*k + 10 = 0. Suppose -u + 2*u = -4. Let w = 4 + u. Sort -1, w, v in increasing order.\nAnswer: -1, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2270 + -4804. Let g = -1527 - d. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:21 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 10201210000?\nAnswer: 10201210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 4 (c) -18 (d) -13 (e) 0.06 (f) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aye when three letters picked without replacement from zzeazzzazzzzaayaz?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 861*y - 37. Let s(j) = 12*j - 44. Let v be s(4). Is a(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704.3295 millimeters to nanometers.\nAnswer: 704329500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1016 - 3?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*c - 139*c = 21. Solve -5*d - 12 = 4*g - c, 45 = 5*g - 5*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*p - 7, 3*z - 4*p = p + 27. Let s(t) = -3*t**3 + 29*t**2 - 66*t + 3. Let w be s(6). Solve -2*u + 7 = w*u + z*f, -5*u + 4 = 3*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(-1)*p))**33*(p**(2\/5))**(-29\/4) assuming p is positive.\nAnswer: p**(-359\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 3*q + 2)*(-1 + 5 + 1) + q - 2*q - q + (q - 3*q + 3*q)*(0 + 4 - 3).\nAnswer: -16*q + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2824464 and 1824.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(15\/(-4))\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 14) in base 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 316. Let h = w + 131. Suppose -2*d + h = p, 5*d - 66 = 3*p - 0*p. Calculate the lowest common multiple of d and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**7\/2520 - k**6\/360 + k**5\/30 - 19*k**4\/12 + 17*k. Let p(b) be the third derivative of i(b). What is p(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19842143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**(-2\/7)\/u)\/u*u)*u)\/u)**12\/(u*u\/u**(-3)*u**(4\/9))*(u*u**0)**(-10)*(((u\/(u**3\/u))\/u)\/u*u)\/u*u\/u**(-8) assuming u is positive.\nAnswer: u**(377\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 308957900 to the power of 1\/2, to the nearest integer?\nAnswer: 17577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15701\/14097 + 128\/111. Is o greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18262 + -18198. What is the least common multiple of 416 and n?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64313601, -128627199, -192940797, -257254395, -321567993, -385881591?\n\"Answer: -64313598*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/125*(-63)\/1434. Let y = -16090549\/17925 + i. Let s = y + 906. What is the common denominator of s and 13\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + (-1)\/10. Let n = -0.5 - -0.8. Let u = 0.2 - n. What is the second biggest value in u, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p = 0. Let t be (-2)\/(-9) + 34\/9. Solve p = -3*k - 0*k - 2*z + 4, 0 = t*z + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2509957 + 281.01.\nAnswer: 2510238.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + -3 + (0 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 4:12 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 7*m**2 + m + 6. Let b be p(-6). Suppose 228 + 677 = 5*o. Let d = o + b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let q(y) = -9*y + 4. Let o(r) = -11*r + 4. Let f(a) = 3*o(a) - 3*q(a). What is -f(l) - 3*p(l)?\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = -3. Let k = 1440 + 2503. Suppose -q*c - 2*c = 2*l - 1566, -4*c - k = -5*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02391196 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c = 535540. Suppose 2*u + h + 29481 = 227023, 296302 = 3*u - 4*h. Let x = u + c. What is x rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -499 * -151.\nAnswer: 75349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 5, y: 5}. What is prob of sequence yy?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -l + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45032927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/10*(-2585)\/(-4653)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -162, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7073, 7041, 6995, 6929, 6837, 6713, 6551, 6345?\nAnswer: 6089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 - 5*p**3 + p**3 + p + p**3 + 0*p**3 - 2*p**3 - 14*p**3 - 40*p + 40*p + (-2*p**2 - 2*p**2 + 6*p**2)*(5 + 3*p - 5).\nAnswer: -13*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176144882 is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 43 - 15 - -92?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 20*u - 24. Let r be x(-17). Suppose 4*t - 3*v = 42, -5*t - 34 = -9*t - v. Let p be (-43)\/t - 6\/r. Let o(n) = -n**2 - 5*n. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/28159272 and -53\/42238908.\nAnswer: 84477816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3689438 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5 + 19*i**4 + 98*i**3 + 176*i**2 + 96*i = 0?\nAnswer: -12, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88975 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5224 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**6\/150 + n**5\/20 + n**4\/30 - 4*n**3\/15 - 1210*n. Factor j(y).\nAnswer: y*(y - 1)*(y + 2)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-208)\/16*18\/1287\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -4\/3, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1872) + 2 + 4 + sqrt(1872) + -1 + sqrt(1872))**2 + -6*sqrt(52)\/(-2*sqrt(36))*-2.\nAnswer: 430*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 304.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 255.1, -1\/539 in increasing order.\nAnswer: -0.3, -1\/539, 255.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 2*g**4 + 4*g**2 + (-2*g**2 + g**2 - g**2)*(0*g + 8*g**2 + 0*g).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 b when four letters picked without replacement from {j: 6, n: 2, k: 3, o: 1, b: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*s = -46 - 12, -2*z - 4*s = 56. Let i = -26 - z. Let t be 220\/(-72) - (i - 7). Is 1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31671 + -a8?\nAnswer: -31759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3203*x**2 - 140*x**5 - 6313*x**2 + 3669*x**2 - x**3 wrt x?\nAnswer: -8400*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13748060 != -13748054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:35 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5256 divide 43093944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**3 + l**2 + l + 1. Let z be c(-1). Let j = 3 - z. Solve 2*o = j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(44)\/sqrt(4)))\/(4*1*sqrt(7))*-2 + 2.\nAnswer: -sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/27))\/f*f**(-15)*f*((f*f**8)\/f)**(1\/13) assuming f is positive.\nAnswer: f**(-4724\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((3 - -4) + -1 - 8 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 1045 - 45. Suppose b = 6*r - 1261. Suppose -r - 419 = -18*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 divided by 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y - 14. Suppose 0 = -y*h + 2*h + 25. Suppose -2 = h*k + 3*f, 5*k - 4*f - 33 = -7. Solve -k*w - 15 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(3) + sqrt(3)*-2))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.8 + 35.941. Let x = o - 0.141. Which is the third biggest value? (a) -0.2 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/4))**(-6\/23))**27)**(26\/7) assuming d is positive.\nAnswer: d**(1053\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9000 and 220776?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11 = -4. Let p(j) = j**2 - 11*j - 12. Let x be p(12). Suppose x = 2*v - h*v - 3. Is v smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -486320.\nAnswer: 3\/486320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 46 = 4*n, h + 0 = n + 2. Suppose 0 = 4*i - h*i + 18. What is the smallest common multiple of 3 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4\/5 + 6441*f**3 + 1550448*f**2\/5 + 24831744*f\/5 + 132501504\/5 = 0.\nAnswer: -16, 10783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6058625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1031*g**2 - 4*g - 13. Let p be l(6). Let x(r) = r + r + 37070 - p. Let k be ((-4)\/10)\/(3\/(-45)). What is x(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035, -1778, -9349, -24042, -48221, -84250, -134493, -201314?\nAnswer: -287077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -24 + (-58 - -33).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 + 6*o - 3. Let u be l(6). Let q = -95.4 - 1.1. Let p = q - -96. Which is the second biggest value? (a) u (b) -3\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55\/258 + -2\/43. Let f(w) be the first derivative of -4 + 0*w + 0*w**4 - b*w**6 + 1\/3*w**3 + 0*w**2 + 0*w**5. Find the third derivative of f(t) wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -11. Let u = r + -5. Let y = 0.1 - 8.1. Sort y, u, -5.\nAnswer: y, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 3*q + 5. Calculate p(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 + 1. Let f be a(-1). Let w(n) = -n**2 + 4*n + 3. Let t be w(4). Suppose t = 3*z - 3*u, 1 = u + 4. Sort f, -5, z.\nAnswer: -5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:18 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28433 - -84340\/3. Let h = -4841\/15 - y. Find the common denominator of -49\/45 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -23.34 + -4\nAnswer: -27.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -15 + (2 - 15) + 37?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - t. Suppose -44*d + 43*d = -2*y - 2, -5*d = 0. Let f(b) = -2*b**3 - b**2 + 2*b - 2. Calculate y*a(m) + f(m).\nAnswer: -2*m**3 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + sqrt(98) + 4))**2.\nAnswer: -224*sqrt(2) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 164, 481, 1050, 1943, 3232?\nAnswer: 4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + 2*f + 2*f)*(-1 - 3 + 5)*(10601 + 12068 + 12307 - 1829 - 3286) as n + h*f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 62*d + 65*d + 11 + 4 = 0, d = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 224170328 and 224170328 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1910232?\nAnswer: -1910232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -12.1, -4, -1419, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 3*a**2 + 1\/2*a**4 - 1\/60*a**5 + 0 - 2*a**3 + 0*a. Is k(8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77981178*g**2 - 30952985?\nAnswer: 155962356*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*d**6 + 904409*d**3 + 3305*d**2 - 4202*d wrt d.\nAnswer: 5880*d**3 + 5426454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3\/10))\/q**(2\/53) assuming q is positive.\nAnswer: q**(669\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(4\/(-18)) - 7\/35*(-37950)\/836\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001 + -121002?\nAnswer: -201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -101. Let k = v + -32. Let i = k + -15.1. Is -0.1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 891*g - 354*g - 13 - 351*g. Is j(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460584852 divided by -281\nAnswer: -1639092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00652 rounded to four decimal places?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 12:59 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -33e (base 15) to base 14\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 93118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*l + 2, -n - 3*l = 3*n + 7. Let w = n - -1. Let b = -0.2 - -0.2. Is b smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1904*q**2 - 9292*q**2 - 3700*q**2 - 9*q**3.\nAnswer: -9*q**3 - 11088*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(68) - (sqrt(68) - -2*(sqrt(68) - (sqrt(68) + 0 + sqrt(68))))) + 3 + sqrt(68)*-1 + -1)**2 + -5.\nAnswer: 24*sqrt(17) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6978 or -6976?\nAnswer: -6978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 287*p**2 + 158*p - 162. What is the units digit of d(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 173*q - 172*q - 5, 3*d = -2*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 - 699099.9336.\nAnswer: -698994.9336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -23. Suppose 0 = -m + 3*i - 19, 3*m - 2*i + h*i = -45. Let c = m + 44. Calculate the highest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39575, 72944, 106303, 139646, 172967, 206260, 239519?\nAnswer: 272738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(252) - sqrt(28)) - (1 + sqrt(28) + -2)) + -1 + sqrt(28) + 0 + 4)**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b08ab (base 13) to base 16.\nAnswer: 1025ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlt when three letters picked without replacement from zttzulltztz.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 9. Let q = 3\/83 + -181\/415. Which is the closest to n? (a) 2\/9 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-388)\/(-2522) - (1 - 80\/(-13)). Let r(t) = t**2 + 13*t + 20. Give r(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r + 42. List the prime factors of v(-16).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14647467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(((l**(1\/2)\/l)\/l)\/l)\/l)**(-8)*(l*l**(2\/13))\/(l*l*(l*l**(-1\/20))\/l) assuming l is positive.\nAnswer: l**(4993\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -39. Let j(h) = h**3 + 14*h**2 + 14*h + 1. Let o be j(u). Let b = o + 27. Calculate the greatest common divisor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -20, -9, 18, 67, 144?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 9)*(3 - 1). Let h(z) = z**2 + 7*z + 7. Let c be h(-5). Sort 5, j, c in ascending order.\nAnswer: c, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let c(s) = 14*s**2. Give y(c(h)).\nAnswer: -392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 - 38\/88. Let a = -14 - -13. Let g be ((-6)\/9 + 1)*a. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 12*j - 110. Let m be -15*(120\/(-90))\/(20\/18). Let u be i(m). Let q(n) = -2*n - 4. Let k(w) = w**2 - 5*w - 9. Determine u*k(c) + 5*q(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**7\/504 + c**6\/36 - c**5\/8 - c**4\/12 + c**3 - 35*c**2. Let z(u) be the second derivative of f(u). Factor z(q).\nAnswer: -5*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/9, 2, 579989.\nAnswer: -17\/9, 2, 579989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/(-230)*6*(-20)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 22 - 6. What is the remainder when 7 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + -3 + (-3)\/(-1) - -3. Is 2 + s + (-1 - -418) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*z + 1376 = -129*z + 89*z - 66*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -29612.\nAnswer: 5922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 79.17906 millennia?\nAnswer: 950148.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27612*i**4 - 15*i**2 + 924*i - 2 wrt i?\nAnswer: -662688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (521370\/(-12) + 10)*4*-32. What is n rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/324 and 79\/6.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 19211*z - 3. Let k(y) = 6404*y - 1. Let r(v) = 3*g(v) - 8*k(v). Let h be (7\/21)\/(2\/6). Let b be r(h). Round b to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*p + 1. Solve 0 = 4*i - 4*x + 4 - 0, -5*x = -p*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45695695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 1, u: 1, t: 1, b: 1, p: 2}. Give prob of sequence htp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124*o**2 + o + 436.\nAnswer: 248*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -269657?\nAnswer: 269655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -23*q - 25. Solve 2*a + 8 + 9 = q*y, 5 = y - 2*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 13a8249?\nAnswer: 13a8248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*u**4 + 2*u**3 - 11319*u**2 + 29*u + 35435?\nAnswer: -1236*u**2 + 12*u - 22638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 2*a**2 - 9*a + 19. Let m be n(0). Which is smaller: m or 123\/7?\nAnswer: 123\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 2*u + 228 = 0, -129 + 96 = -3*f - 3*u for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/8 and 81\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -726a (base 13) in base 7?\nAnswer: -64036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 + 5*o**4\/12 + 5*o**2\/2 + 8*o. Let n be -4*(0 + 5\/4). Let i(k) = 0 - k**2 + 3*k**2 + 2. Give n*i(s) + 2*w(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -22. Suppose -270 = -756*y + 629*y + 1000. Calculate the highest common divisor of y and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 51*h - 291 = -3 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -12. Suppose 4*f - 21 = -3*y - 0, -j*f + 33 = -3*y. Find the second derivative of 8*v + 16 + f*v**3 - 30 + 14 wrt v.\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 2*m - 5. Let y be c(-5). Let l = 88 - y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 5. Let r = 2 + 3. Let g be (-4)\/20 + (-44)\/r. What are the prime factors of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*i - 2*h + 58 = 273*i + 276*i, 5*i + 78 = -3*h for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 157*b = -160*b + 10965, 4*b - 7324 = -2*j. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2. Suppose -r - g = -7, -r - 2*g + 3 = -9. Let a be (-28)\/(-224) - r\/16. Let u(d) = -d - 3*d + 16*d + a*d. Calculate n(u(v)).\nAnswer: 432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (-4 - -65) - (-45)\/(-43).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3672 + -3671.8. What is the closest to 3\/4 in -41, -1, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1379*r + 9715. Let m be d(7). Put 10, -4, 0, 5, m in decreasing order.\nAnswer: m, 10, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 < 18362\/1287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1066 (b) -5 (c) -3 (d) 2 (e) 128\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1936 + -1917. Let g = 575 - 237. What is the remainder when g is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177550 is divided by 3073.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 6 = 4*v. Let d = 22 + v. Suppose -7*t - 432 = -d*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231264651 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(112) + -1))**2 + -1 + sqrt(28) + 2.\nAnswer: -126*sqrt(7) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 3)\/2 - (8 + -6). Let a be 3 + -1 - (h + 0)*1. Solve 6 + 14 = -a*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -32c1?\nAnswer: -32c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2 - 2 + s - 1. Let n be m(5). Suppose 4*r - 28 = n. Solve 0 = g - 3*g - r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98483743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1355972 + -1a3?\nAnswer: -1356065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -51.7. Let u be 2 - (-21)\/56 - (0 + 3). What is the second smallest value in u, -3, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 9. Calculate the lowest common multiple of 12 and c(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57704 and 2012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.011 - -21.989. Let k = -0.01868 + -21.87132. Let x = a + k. What is x rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 - 453241*t.\nAnswer: -453241*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 11*l**2 - 10 + 32 + 718*l**2 + 5*l**2 as i*l**2 + b*l + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 24 = 4*c, -4*b = -3*c - 0*c + 17. Let q be (0 - 1)\/(4\/(-20)). Solve 4 = q*l - c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(7)*2) - ((sqrt(70) - (sqrt(70) - (sqrt(70) - -1*sqrt(70))))\/sqrt(5) + sqrt(14)))\/((sqrt(21) + 2*sqrt(21)*-2)\/(1*sqrt(3)*2)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102443503 (base 6) in base 3?\nAnswer: 10101221220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155093919?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2646*g + 260 + 958 = 2688*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 10*c - 18. Let h = -39 - -27. Let x be k(h). Suppose 378 = 2*v + 5*v. Calculate the highest common factor of v and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59755 less than 548971?\nAnswer: 489216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -830 (c) -0.24 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 18*r**5 + 422*r**4 - 2210*r**3 + 2410*r**2 + 32*r - 672 = 0.\nAnswer: -28, -4\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from ffqz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2. Let t = 2 - -2. Let z(f) = -3*f - f + t*f - 5*f**2. Give z(y(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49245081 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 8*z + 30. Solve -6 = -z*u + 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679836475 to the power of 1\/3, to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*n - 20, 5*n + 2*d - 9 = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*g*k**3 - 3300*g*k**2 - g*k + 457*g - 2*k**3*v**2 + 2*k*v - 114*v**2 wrt k?\nAnswer: -906*g*k - 6600*g - 12*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124 and -5.221718.\nAnswer: -647.493032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 571\/63 + -309415\/34083. Let x = u + 54124\/1623. Let i = x + -33. Which is smaller: 2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120885 * -156.\nAnswer: 18858060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15. Which is greater: -0.4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2133.056331 - 0.103669. Let k = b - -2133.1699979. Let d = -0.01 + k. What is d rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*m = 124*m + 5*c - 9, 3*m = -2*c + 15. Let x(p) be the third derivative of 0 + 0*p**m + 4*p**2 - 1\/24*p**4 + 0*p. Let t(j) = j**2. What is x(t(i))?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + (-6)\/(-8). Let d be (-25)\/(-2) + a\/(-2). Let x = -48 + 50. Solve -6*k + x*k - d = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22346 - -22881. Calculate the remainder when b is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 25162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 + 3156*z**3\/5 + 221760*z**2 + 26166000*z + 51450000.\nAnswer: 3*(z + 2)*(z + 350)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -27*d - 1. Let q(x) = 158*x + 3. What is q(r) + 6*u(r)?\nAnswer: -4*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101120020 (base 3) in base 15?\nAnswer: -14ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25652691 greater than or equal to 25652688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.789217392 to three dps.\nAnswer: -8.789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2144442 + 23?\nAnswer: 2144505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -21*r**3 + r**2 - 21*r - 21. Does 56 divide c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c4 (base 13) in base 6?\nAnswer: -2150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -15. Which is the nearest to 2\/3? (a) -0.4 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/14 + 20\/7. Suppose 7*y = 4*y + 3*i, y - f*i = -6. Suppose 12 = -2*j + y*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 776\/5 - 7739\/50. Let n = m + 369\/50. Let q = 8545\/582 + -50\/97. Calculate the common denominator of q and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/140693336 and 24\/197603.\nAnswer: 140693336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 0) + 304 + -303 + -59\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2)*(-60)\/(-9))\/((-23060)\/5765)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - q - 8 = -3*m, 3*m - 3*q - 12 = 0. Let b be 1 - -2*m\/(-4). Let s(f) = -6*f + 26. Let n be s(4). Is b <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2145*n**3*s + 2*n**3 + 162*n - 10*s wrt n.\nAnswer: -12870*n*s + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3 - 46*w**2 + 90*w = 0.\nAnswer: 0, 5\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - 3. Let f(h) = -2*h - 14. Let q be f(s). Let n(j) = 2 + 8*j - 13*j**2 + 12*j**q - 7*j. Give n(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -338 - -338. Let n = -16 + 12. Which is the nearest to j? (a) n (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 50. Let x be u(32). Solve 13*z + 5*z = -x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**3\/3 - 4*u**2 - 5*u + 44. Calculate x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 2\/7 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*n + 8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 2*s - 5*s + 4*g, 369 = 4*s + 3*g. Suppose 13*k + 66 = -s. Let r be k\/(-6*3\/(-27)). Is r at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 7*s**2 - 14*s + 5. What is m(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -224866 divided by -29\nAnswer: 7754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-2*(-1)\/(3\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 753\/521566 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**5 - 25868*b**4 - 51764*b**3 + 77628*b**2 = 0?\nAnswer: -3, 0, 1, 6469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695799.\nAnswer: 3, 13, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 0, -t - 5*n = -3*n + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -20. Let s = -9 + u. Solve -s*d + 8*d - 3*v + 18 = 0, 5*d - 5*v + 20 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73696 + 73771 + 2*u - 147517.\nAnswer: 2*u - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (80 + -63 - (-3 - -22)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**9\/336 - l**6\/40 + 5*l**3\/6 + 4*l. Let m(j) be the second derivative of v(j). Find the third derivative of m(s) wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m**2 - 5*m - 1. Let d be q(6). Suppose -3*l = -d*c - 6*l + 234, 5*c - 238 = -l. List the prime factors of ((-1)\/(-2))\/(6\/c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*j = -3*d - 420*j + 27, 4*d + 5*j = 71 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 627012*t - 32762004012.\nAnswer: -3*(t - 104502)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or 286019?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 511343, 1021359, 1531377, 2041397, 2551419, 3061443?\n\"Answer: c**2 + 510013*c + 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 261960162 a multiple of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237729.\nAnswer: 947, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Let i be c(4). Let d be -153 - 0\/5*i. Let u = d + 217. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3727\/33867 - 4\/3763. Let r = 139\/5 + -28. What is the biggest value in -0.3, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 11*g**2 - 9*g - 13. Let d be c(12). Suppose 0 = -5*s + d - 8, 5*s = -j + 21. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1196*s + 207. Let i(x) = 23*x + 4. Determine -4*c(v) + 207*i(v).\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2753860168 - 4.2559.\nAnswer: -2753860172.2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 17. Let f be n(-11). Suppose 3387 = 2*w - f*o, 4*w + 4*o - 6735 = o. Let a = 1504 + w. Round a to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -5*f**2 + 3 - 2*f - f**3 + 6*f**2 + f**3 + 2*f**3. What is the units digit of y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(-5))**6 assuming t is positive.\nAnswer: t**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97096109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkkxxkxxaxxkx. What is prob of sequence xax?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2268972 (base 10) in base 13?\nAnswer: -6159b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-38 + 8)\/(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)*(2 - -1). Let u(r) = -32*r + 12. Let c be u(h). Suppose c = a + 44. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -189 in descending order.\nAnswer: 5, -3, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*j + 20 = 0, -194*o - 2*j - 5 = -195*o. What is the remainder when 22 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1076577672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -431*-855\nAnswer: 368505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - -2*(sqrt(99) - (sqrt(99) - 1*sqrt(99))))*-6)\/(sqrt(36)*-2 - 2*sqrt(441)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 211, 4, 5, -4 in ascending order.\nAnswer: -13, -4, 3, 4, 5, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, -5, -24.\nAnswer: -24, -5, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 17*m - 356 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 15. Let m be n(-12). Let y(r) be the second derivative of 0*r**m - 1\/2*r**2 - 2*r + 0*r**4 + 1\/10*r**5 + 0. Differentiate y(s) wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60b9 + -cb8?\nAnswer: -6d93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011110011101101100 + 11011?\nAnswer: 100011110011110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 7}. Give prob of picking 1 t and 2 n.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4724088*b + 2776473*b - 1 + 7579285*b + 1119823*b.\nAnswer: 16199669*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 1. Let p be l(-5). Let m be ((-10)\/4)\/(3\/p). Let n = 0 - m. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 84*q**2 - q + 79. Let z(j) = -2*j**2. Calculate y(z(p)).\nAnswer: -336*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 - 31290*o**2 + 2612484*o - 54751032 = 0.\nAnswer: 42, 10346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 2*p - 4. Let x(l) = -4*l + 0*l - 4*l**2 - 8 - 3*l**2. Let u(b) = 9*r(b) - 4*x(b). Calculate the remainder when 60 is divided by u(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16*d + 11. Let p be g(-16). Let b = -93 + p. Find the second derivative of -328*y**3 + b*y**3 - 49*y + 171*y**3 wrt y.\nAnswer: 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 36*n**2 + 82*n - 224. Let g be j(38). Let k be 1*2\/12*4. Let r = -8 - -6. Which is the closest to 0.2? (a) k (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + 9*z**2 - 11*z**2 + 6*z**2 wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-752346)\/(-60) - 4\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*k = 19, 9*d - 4 = 8*d - k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or 26977?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 102) + -1 + 21.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4989.7 (c) 14\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, 3, 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2908 + -343147\/118. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11066 + 1156*j**3 + 11066)*(7 - 3 - 3) to w*j + i*j**2 + a*j**3 + d and give a.\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8*g + 12 = 0. Let h be 1*2 - (-1 - -1). Suppose 8 = g*w + 4*i, h = w + 2*i - i. What is the second smallest value in 0.5, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 3:07 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) -3\/4 (c) 0.2 (d) 3 (e) 5 (f) -301\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10179873 divided by -10571?\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8 - 33 = 0. Let o be l - (-1 - -2)*1. Suppose d = -3*b + 12, -o*d + 2 = b - 2. Solve -2*n - b*y - 10 = 0, -3*n - y + 2*y + 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56417653 to the nearest integer?\nAnswer: 7511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -27. Let c = 9 - y. Let q = 3 + c. Solve 4*b - 3*k + 11 = 2, q*b = -k + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23417447 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 + 201 - (-1 - -1 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 1 + 2)*(-6 + 1 + 4) + 4 - 6 + 1)*(-v**3 - 5938*v**4 + 1945*v + 5940*v**4 + 2402*v) to o*v**2 + p*v**4 + h*v + f + q*v**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.792514 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(((sqrt(88)*1 - sqrt(88)) + sqrt(88))\/sqrt(8)) + 5.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 2\/9 (c) 0 (d) -17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 - 10 = 0. Is (1870\/(-10))\/(0 + u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653 is divided by 122.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 - 28956699 + 28956699.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115977878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n - 22. Let s be u(6). Suppose 2*r + 30 = 82. What is the remainder when r is divided by 11 + 1\/((-2)\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15029270 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1308282449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.89982 to the nearest integer.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 2*j)*(-14*j + 0*j + 6*j)*(4*j - 2*j - 3*j).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1331) + 1) + -3.\nAnswer: -22*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/5)\/(u\/(u*u**(9\/2)))*u**(-3\/14)*u*u**17 assuming u is positive.\nAnswer: u**(759\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1019 and 1.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*o**4 - 761943*o**3\/5 - 538922*o**2\/5 - 111732*o\/5 - 7208\/5 = 0. Calculate o.\nAnswer: -901, -2\/5, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -5*h + 30*h + 225 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -146 + 143 - ((-11 - (2 - 8)) + 57)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*y + 9, -2*f - 9 = -4*y - 3. Let h be (y - 754)*32 - (9 + -5). Round h to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:33 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1953, -4470, -6977, -9468, -11937, -14378?\nAnswer: -16785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 279*d**3 + 78*d**3 + 40.\nAnswer: -201*d**3 + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59289119?\nAnswer: 59289119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1140*w + 71 + 61 - 35.\nAnswer: -1140*w + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 16) in base 15?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19939 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.596132ml?\nAnswer: 0.007596132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-613305)\/(-4779))\/((-25)\/(-15)*-1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 11?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 5*q**4\/12 - 95*q**3 + 16245*q**2\/2 + 284*q. Suppose n(p) = 0. What is p?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 30206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewew when four letters picked without replacement from ewwewe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) - 1\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*i = 320*i - 3329 - 22957 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*h**2 - 24*h - 26*h + 50*h to s*h + r + g*h**2 and give g.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*h - 39244 = 0, 5*q - 4*h = h + 98160. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 16) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11682*m*r**3 - 645*m*r**2 - 6*m*r - 5*r**3 - 8*r**2 wrt r.\nAnswer: -70092*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81, -95, -121, -165, -233?\n\"Answer: -v**3 - 7*v - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v - 78. Let c be 2 + 1 - (-82)\/v. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 4 - 1 + 25*h + 10*h.\nAnswer: 26*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 28. Suppose -870 = -5*x - 4*q, -q + o*q - 696 = -4*x. Suppose -3*w - 2*c = -w - x, -5*w = 3*c - 435. List the prime factors of w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108991392 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -306522\/13 - -23579. Put a, -5, -45 in decreasing order.\nAnswer: a, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27270000 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1751 - -a151?\nAnswer: 108a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*w**5\/8 + 135651*w**4\/8 - 4166223*w**3\/8 + 33300765*w**2\/8 - 10194525*w\/4 = 0. What is w?\nAnswer: -15103, 0, 2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4168 is divided by 95.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 20 = 161. Let w = c - 23. What is the highest common divisor of w and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54 (b) 0.255 (c) 5 (d) 1\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -24*p + 6275. Suppose 2*f - 136 = -3*t, -t - 3*t + 2*f + 172 = 0. Calculate the remainder when p is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**37*a)\/((a**(-24)*a)\/a) assuming a is positive.\nAnswer: a**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 231092056 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g. Let v(c) = -4*c**2 + 6*c + 5*c**2 - 3 + 8. Let r(h) = -6*l(h) + v(h). Differentiate r(y) wrt y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4218*l**2 + 2 + 4239*l**2 - 2. Let u(y) = 7*y**2. What is m(u(h))?\nAnswer: 1029*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-12)\/9270*(-75)\/(-24 + -1)\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21834*b**2 + 21933*b**2 - 43698*b**2 + 4*b - 4*b.\nAnswer: 69*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.35. Let o = 4.95 + x. Let q = 0.7 + 0.3. What is the second smallest value in q, 0, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 31099518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n - 534*n**3 + 14*n**2 + 7 + 535*n**3 - 3. Suppose 5*k = -25, -q = 7*k - 3*k + 29. Is w(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -17) + (5 + -106 + -17 - 6).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472746221.\nAnswer: 271, 317, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 43, 64, 89, 118?\n\"Answer: 2*a**2 + 11*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -475.43 + 555.5. Let b = -80 + y. Let v = b - 0.31. What is v rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:19 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 + 28*a**4 + 152*a**3 + 400*a**2 + 512*a + 256 = 0. Calculate a.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euul when four letters picked without replacement from {s: 2, e: 5, l: 2, x: 3, u: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162757 is divided by 3209.\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/5 - 57*z**3\/5 + 33*z**2 - 163*z\/5 + 54\/5.\nAnswer: (z - 54)*(z - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**10)\/(t*((((((t\/((t*t*t**(-4))\/t))\/t)\/t)\/t)\/t)\/t)\/t))**(-48)\/((t**(1\/4))**35\/((t**(-2\/7)*t*t)\/t)**42) assuming t is positive.\nAnswer: t**(-2219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*a + 4, 5*m = -a - 0*a + 2. Sort -9, 0.26, m in ascending order.\nAnswer: -9, m, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 120184306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g - g + 4*a, 2*g = -5*a - 12. Suppose g*l - 268 = 3*y, 3*y - 23 = -l + 44. Suppose -72*b = -l*b - 14695. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92738.47 centuries to months.\nAnswer: 111286164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14922*d - 89433. What is f(-6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3758656 millennia in years?\nAnswer: 375.8656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/4 + 549*q**3\/5 - 132*q**2 - 3*q + 122. Factor m(r).\nAnswer: 3*(r + 220)*(5*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/40 - (39\/15 - 3). Which is the second biggest value? (a) g (b) 2\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2987, -6189, -9379, -12557?\nAnswer: -15723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98349621 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 1\/((-175)\/555). Let c = d + -661\/140. What is the common denominator of -11\/40 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1500)\/(-9))\/((-8)\/(-564)). Suppose 0 = 4*i - 2*m - a, 2*i - 6*i + 11753 = -m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 - 3*1\/(-3). Is 27*3 + (-8 - q) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60040510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by (2 - -2)\/(-4) + 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 67?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902*p = -2451 - 4687 + 1726 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.667389 to 2 dps.\nAnswer: 6.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2020675115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, 3172, -1, -5, 0 in increasing order.\nAnswer: -14, -5, -4, -1, 0, 3172","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 96683 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-2 - 9))\/((-9)\/(-6)). Let a(u) = -4*u - 1. Let p(z) = 3*z + 1. Calculate x*p(c) + 5*a(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -956, -1911, -2866?\n\"Answer: -955*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 134 = -3*a + 157, 3*a = 3*k + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.5 (c) 4.73 (d) 4.42 (e) -20 (f) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0 + q**2 + 2*q + 5\/6*q**3 - 1\/12*q**4. Calculate the remainder when a(3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qddkdrrd. What is prob of sequence dk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) 5 (c) -2\/7 (d) -0.2 (e) -2\/13 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, -11, 8\/5, 2\/3, 22, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (593950389\/54540 - -2) + 3. Let t = -490792\/45 + s. Let g = t - -6\/101. Calculate the common denominator of 57\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*f - 5*y, -3*f - y - 18 = 2*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/13497220 and 45\/18896108.\nAnswer: 94480540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*y + 8, 75 = j + 5*y + 55. Solve 10*k - 16*k = j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 29127\/26741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((sqrt(720) - (sqrt(720)*-2 + -2)) + (-3*1*sqrt(720) - sqrt(720)))*-1)*6 + 2)**2.\nAnswer: 2880*sqrt(5) + 26320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = n + 8, -3*s + 2*n + 8 = 0. Let p(t) = t + 406. Let j be p(s). Suppose 0 = 5*c - j - 14. Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, h: 9, v: 1, u: 1}. Give prob of sequence huhv.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4403546437377.999999 - 4403544248622. Let f = c - 2188753. Let b = f + -3. Round b to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 532*g*u**3 - 28*g*u - 7*g + 1140790*u**3 wrt g?\nAnswer: 532*u**3 - 28*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1592505 divided by 7.\nAnswer: -1592505\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2532276 is divided by 2414?\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 676362*h**4 + 17*h**3 - 4303391*h**2.\nAnswer: 16232688*h + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132243 - -48.2846.\nAnswer: -132194.7154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 12, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - w = -53 - 140, -3*r + 3*w + 213 = 0. Suppose -6*y = -78 + r. Find the second derivative of -6*c**2 - 16*c**2 - 39*c**3 + 22*c**y - 33*c wrt c.\nAnswer: -234*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -7. What is the smallest common multiple of 1\/(6\/40)*(-18 - -21) and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3331, 27960, 94805, 224974, 439575, 759716, 1206505, 1801050?\nAnswer: 2564459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -5 (b) 1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*u - 1. Suppose 0 = u*c - 31 - 57. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.46?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*f**3 + 0*f**3 + 4*f**3 - 3*f**2 wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1160575 and 975.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - o + 1. Determine d(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -g + 6*g - 619, -3*h + 6 = 0. Suppose -48 = 5*i - g. Solve k - 3*o = 0, 0*k - 4*k - 3*o - i = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 7.5022 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let j be u(-4). Suppose 2*t = -6, j*t - 28 = -r - 3*r. Is 6 a factor of 4\/(-10) + 124\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.0661 times 0.1031\nAnswer: -0.31611491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 24*b**2 - b. Let a be t(-1). Suppose 3*r - 30 = -3*l, a = l + 4*l. Solve 5*s = 4*n - 0*s + 23, -n + r*s = 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*q**2 + 2*q**2 + 7*q**2)*(-44 - 134 - 35) to the form o*q**2 + l*q + j and give o.\nAnswer: 1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 40. Suppose -4*c + 25 = j, -j + 5*c - l = 2*c. Let n = j - 2. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -237 in descending order.\nAnswer: 0, -4, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6, -6.9, 4, 1, 2089, -3?\nAnswer: 2089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 229165.14 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from kcctcltickccikt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -109. Suppose -p = -5*a - 0*a + 5*n, -2*a = -n - 11. Factor 22\/15*l**a - 4\/15*l**2 - 32\/15*l**4 + 14\/15*l**5 + 0 + 0*l.\nAnswer: 2*l**2*(l - 1)**2*(7*l - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17166?\nAnswer: 2, 3, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18 - 2709\/(-147)) + 1)\/((-12)\/7)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3374 - d - 3374.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1223.305771 to one dp.\nAnswer: 1223.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1318, -1302, -1284, -1264, -1242, -1218?\n\"Answer: o**2 + 13*o - 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 2\/3, -0.08, 1079.9?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62525408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26387 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10201351.\nAnswer: 23, 71, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f = -38 - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -839759.43 rounded to the nearest 10000?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {i: 3, o: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2830.21704 - -2830. Round z to 3 decimal places.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3725 + 3?\nAnswer: 3730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) + (-93)\/5. Let c = 29 + l. What is the smallest common multiple of c and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 4*y**2 + 3*y - 12. Determine o(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -828823, -828822, -828821?\nAnswer: -828820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 6, o: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**8\/560 - j**7\/140 + j**6\/120 - 17*j**3\/3 - 45. Let h(z) be the third derivative of s(z). Solve h(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26271.70292 less than -1.832?\nAnswer: -26273.53492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, f: 4, s: 1}. Give prob of sequence fzz.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 126 + -3f?\nAnswer: e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9.999449 minutes?\nAnswer: 599.96694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 3*g**2 + 0*g**2 + 12*g**2 + 3*g**2 + 2*g**2 + (-3 - 2*g + 3)*(g + g - g).\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3687324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 7 - 1, 3*i + 531 = 3*b. Let f = i - -365. List the prime factors of f.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 - 16*w - 1. Let q(o) = o**2 + o + 1. Let z(u) = m(u) + q(u). Find the second derivative of z(c) wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 8*c + 5*c)*(-4 + 4 - 2 + (-2 - 2 + 3)*(1 - 7 + 2)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -33. Suppose f - 2*s = -3*s, -f + t = 3*s. Put f, 4, 0 in decreasing order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(3*sqrt(378) - sqrt(378))\/sqrt(9))\/((sqrt(72) - (sqrt(72) + (sqrt(72) + -2*sqrt(72) - sqrt(72))))\/sqrt(12) - sqrt(66)\/(sqrt(11)*-3)).\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 6*x + 9*t + 171, 4*x - 5*t = 193. Let g = 3 + -4. What are the prime factors of x\/56 + g*1167\/(-12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -29. Suppose d*g + 609 = 15*g. Suppose -86*k = -g*k. Solve 0 = -u - 5*v - 5 - 21, k = -u + v + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518 = -31*m + 2099. Let x = m + -29. What is the greatest common factor of x and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1763.06 - 1763. Let z = -1.7 + 2. Which is the nearest to 0.1? (a) x (b) z (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239446646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 + 9*r + 2. Let t be 23 - 110*7\/35. Determine u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6196162?\nAnswer: 2, 7, 157, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 707891668 rounded to the nearest 100000?\nAnswer: 707900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6*(-6 - -12). Suppose -c + a*v + 27 - 11 = 0, 0 = 2*c - 3*v - 29. Solve 0 = 4*s + 10 + c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9)\/r)**(19\/2))**21 assuming r is positive.\nAnswer: r**(-1463\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*d**3\/9 + 46*d**2\/9 - 82*d\/9 + 4\/3 = 0. What is d?\nAnswer: -1, 6\/35, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 501 + 252 - 3*d + 3*d - d.\nAnswer: -d - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300217, 600464, 900711, 1200958?\nAnswer: 1501205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 65*y**2 - 883*y + 37299. What is o(70)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4. Suppose 0 = -d*i - 0*i + 28. Suppose 0 = -8*q - 3*q + 1694. Calculate the greatest common factor of q and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.4, 0, -5, 36, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 4\/3 (c) -62581\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n - 791 = -5*u, -4*u + 640 = 2*n. Let i = u + -167. What is the second biggest value in -0.3, i, -4\/5, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15889*g**2. Let o(s) = s. Determine o(f(j)).\nAnswer: 15889*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 31 = 2*j + b, -5*j - 5*b = 35. Let y(m) = m - 4. Let v be y(j). Let p = v + 82\/7. What is the second biggest value in 0, p, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1738, 1741, 1754, 1783, 1834, 1913, 2026?\nAnswer: 2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5, -178.\nAnswer: -178, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-15))\/(4\/10). Let j = -9.8 + 10. Which is the closest to -2\/7? (a) m (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gisw when four letters picked without replacement from {w: 3, i: 5, c: 4, s: 1, g: 1}?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((5 - 14) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, u: 2, t: 1, v: 6, x: 5}. Give prob of sequence ii.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 286513971 plus 36061?\nAnswer: 286550032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.79052 litres in millilitres?\nAnswer: 3790.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 0*v - 8*v - 1 + 9*v. Let d(q) = 3*q - 3. Suppose -4*r - 74 = -6. What is r*i(b) + 6*d(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -46, -54, -60, -64, -66?\n\"Answer: v**2 - 13*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19154 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: Let m(l) = -l**3 + 14*l**2 + 20*l - 73. Let b be m(15). Solve 5*j - 5*y + b - 7 = 0, -3*j = -y - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/9793 + -111121\/587580. Let r = l - 1\/84. Let o = 2 + -2.1. Which is the third biggest value? (a) r (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 770670679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -a - 6, 3*p - 36 = -2*a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13965253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 + -236. Let v(r) = -r**2 - 3*r + 1. Let n be v(-3). Let q = h + n. Calculate the highest common factor of 40 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 862 or 864?\nAnswer: 862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 0, -1\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 74414 (base 12) to base 6\nAnswer: 3134424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 70. Let c = h + -11. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245383 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -13 + 0*h**5 - 1\/4*h**4 + 0*h**2 + 0*h**6 - h + 37*h**3 + 24\/7*h**7. What is the third derivative of a(s) wrt s?\nAnswer: 2880*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/(-3)*(1 - 2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15198?\nAnswer: -15198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -618*f + 608*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g**5\/2 - g**4\/2 - 45*g**3\/2 - 19*g**2\/2 + 19*g + 12 = 0. What is g?\nAnswer: -1, 12\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 16. Let y be (-49)\/k + 3\/(-6). Let j be 1701\/y - (-3)\/1. Round j to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/11020 and -73\/15370?\nAnswer: 584060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0111535838 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27834, 27837, 27834, 27825, 27810, 27789, 27762?\nAnswer: 27729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 392*m - 5. Let d(g) = 392*g - 6. Let q(r) = -3*b(r) + 4*d(r). Is q(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-2))\/(35*(-11)\/(-77))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/2859 + 162953\/28590. Let r = -964 - -5753\/6. Let y = r + 77\/3. Find the common denominator of y and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 258470106 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 4*f + 19, 2*f = 4*f - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p. Let s(n) be the second derivative of -7*n**3\/6 - n**2\/2 - 194*n. What is s(g(v))?\nAnswer: 63*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/7 + 12\/(-42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(1\/3))\/g)**(-1\/17) assuming g is positive.\nAnswer: g**(-4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - 16*g + 14. Let a(t) = 9*t**2 - 33*t + 29. Let m(x) = -3*a(x) + 7*k(x). Determine m(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439059 is divided by 2940?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**2*q*q)**(-5)\/(q**(-1\/3)*q**8\/q)*(q**7*q\/(q*q**6))\/(q**(1\/11)*q\/(q**5\/q)) assuming q is positive.\nAnswer: q**(-1081\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*u + 4 - 4 + 7*u as i + v*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*k + 9, -k + 0 = -o + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -13*n**4\/12 - 14*n**3\/3 + 42*n**2. Differentiate m(v) wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 103*k**2 + 168*k - 877. What is l(50)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 1726 - 4*q**2 - 1726.\nAnswer: -4*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9915540 divided by -84030?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 47 = 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1331)*-1 - (3 + sqrt(176))*1) + (-2 + sqrt(1584) + -2 + sqrt(1584) - sqrt(1584))**2 + sqrt(1584) + 4 + 2*sqrt(1584).\nAnswer: -42*sqrt(11) + 1601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -573 + 577. Let d be ((-14)\/56)\/(1\/(-2)). What is the third biggest value in 4\/7, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n + 25. What is p(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -967.31 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16880 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4177345.\nAnswer: 5, 835469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18399\/35 + 2842\/5. Let g = f - 43. Which is the nearest to -0.1? (a) 5 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*y**3 + 1860*a**3*y**2 + 2*a**2*y**4 - 110*y**4 + y**2 wrt y.\nAnswer: -6*a**3 + 48*a**2*y - 2640*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2\/(-2))*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 2 y when four letters picked without replacement from wywyfejywwf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-j - 2*j + 6*j)*(74*j - 85*j - 185*j) to c*j**2 + k*j + i and give c.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4911 - -0.088.\nAnswer: -4910.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26524 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - 8329?\nAnswer: -8309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 26*d. Let w(y) = -9*y**2. What is w(a(b))?\nAnswer: -6084*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Suppose 3*n = 7*n - 8. Let p be n - -3 - (-9 - -15). What is the third smallest value in p, k, -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(5 + (2\/15 - (-81975)\/(-15750))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404707 is divided by 58.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 12*n = -794505042. Let y = n - -6960831. Round y to the nearest one million.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a - 3. Let u(t) = -9 - t - 34*t + t + 7 + 27*t. Calculate 5*k(h) - 7*u(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1868*p**5 - 1255*p wrt p?\nAnswer: 37360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**3 - 10*m**2 + 37*m + 7. Let w(h) = 17*h**3 + 28*h**2 - 110*h - 19. Determine -11*b(t) - 4*w(t).\nAnswer: -2*t**3 - 2*t**2 + 33*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15532895471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (5 + -9)*(5 - (7 - 0)) and 293.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202122 (base 3) in base 8?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 3, f: 4, q: 1, j: 2}. Give prob of picking 1 q and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*o - 96 = -293*o, 0*h - 5*o = 2*h - 0*h + 41 + 117 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -9 + (-4)\/(-1). Let b be (11 - (-2 - q)) + -6 + 6. Let n be -2 - 3*-2*4. Calculate the highest common divisor of b and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(190) - (sqrt(190) + sqrt(190)*1 + sqrt(190))) + sqrt(190) - -2*sqrt(190)*1)\/(-2*sqrt(810) - (-1*sqrt(110))\/sqrt(11)).\nAnswer: -7*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362090621?\nAnswer: 37, 97, 233, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 18. Let w = k + -24. Let n = w + -9.6. What is the biggest value in n, -2\/11, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 3.4. Which is the biggest value? (a) 0.5 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - m + 9*m - 4*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2287 - 9319. Let o = -4871 - n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22908, -93881, -212902, -379965, -595064, -858193?\nAnswer: -1169346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 20*r**2 - 4. Let k be t(20). What is the hundreds digit of -5 - k - (-36)\/4*21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1692 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12 and -4\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.91 + -0.09. Let i = -14.5 - d. Which is the third smallest value? (a) i (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30023*z**3 - 13785*z**2 - 3 + 13785*z**2.\nAnswer: -30023*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/28216 and 25\/33616.\nAnswer: 118563632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**3 + 271*g**2 - 316*g - 109. Calculate j(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -3\/4*f**4 + 0*f**2 + 0*f**3 + 0*f - 11. Let s(c) = 13*c**3 + c**2. What is -2*s(a) - 9*v(a)?\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*u - 24, -15 = -4*k - u + 12. Let y be (0 + -3)*112\/(-6). Calculate the highest common divisor of y and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/26)\/y)\/(y\/(y*y**13)*y) assuming y is positive.\nAnswer: y**(313\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3133 and 482.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 18*n + 9. Let d be q(18). Suppose d*p - 259 - 821 = 0. Is 33 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from ykxxxxdyyyyx?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 16*d**2 - 147*d - 7. Let i(s) = -9*s**2 + 74*s + 4. What is -5*i(n) - 3*x(n)?\nAnswer: -3*n**2 + 71*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67934867 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*j + 8 = w - 131*j, 15 = 5*j. Calculate the least common multiple of (-3)\/((-9)\/2)*15 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*h, 8 = 5*h - 0*z + 3*z. Let k(t) = t**2 + 12*t - 85. Let a be k(-17). Solve d - 3 + h = a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24354 - -24353.9988789. Round o to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.001 (b) 3903\/8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:28 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 14*w**2 - 20*w - 277. Let o be l(-14). Sort 12, o, -0.1, -4 in decreasing order.\nAnswer: 12, o, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3*3*sqrt(264) + sqrt(264))\/(sqrt(864) + sqrt(24) - sqrt(6)))**2.\nAnswer: 120*sqrt(11)\/13 + 5921\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + 1.615. What is t rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*k = 1, 5*x + 3*k = 4*k - 110. Let p = -17 + 39. Let r = x + p. Solve -r + 2 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 483 - 268. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2.97939.\nAnswer: -0.893817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/10)\/(2*(-5)\/100). Let m(q) be the third derivative of -q**5\/60 + 3*q**4\/8 + q**3\/6 - 24*q**2 + 7*q. What is m(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1283*s + 63183. List the prime factors of o(0).\nAnswer: 3, 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 21*m**3. Let c be y(1). Let u = 16345 + -16321. Let p = u - c. Solve -3*l = 5*n - 9, 5*n = 2*l - p - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*c + 328*c = 1331 - 5181 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-6 + 5 + 6)*(26 + 85*r + 26 - 42)*(-3 + 0 + 2) to the form i*r + p and give i.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + a - 7. Suppose 3*c - 1 = -7. What is the remainder when x(-6) is divided by (-20)\/c + 1*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let w(x) = -x**2 + x + 1. Suppose 0 = 3*f + 72 - 60. Let r(i) = -6*i**2 - 67*i + 4. Let l(z) = f*w(z) + r(z). Give l(v(g)).\nAnswer: -2*g**4 - 71*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 - i - 19. Let z(g) = -2*g**2 - 2*g - 18. Let r(f) = -6*v(f) + 7*z(f). What is p in r(p) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 16*n**2 - 3*n - 5. Let z be m(-3). Calculate the greatest common factor of z and 1850.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6351 divided by -3.\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971384?\nAnswer: 2, 3, 82141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1879b (base 14) in base 15?\nAnswer: -13502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 12*c**2 + 3*c**2)*(-2 + 2 + c + (3 - 1 - 1)*(-2*c - 2 + 2) + (-5 - 1 + 3)*(-2 + 2 + 6*c)).\nAnswer: -171*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-4 - 3) + 4 + (12 - 36)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*s + 1664 = 14204 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424 + 424 - 1596*o**2 + 4358*o**2.\nAnswer: 2762*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14106490181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 16472 = 16241 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = v - 11, 0 = -a + 9*v - 10*v - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**6\/360 - h**4\/12 + h. Let l(j) be the third derivative of q(j). Let y(s) = 3*s. Determine l(y(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 20 = -3*r, -2*r + 2*l + 35 = 7*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222925889.\nAnswer: 43, 5184323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**34)**(-4)\/(w*w**(2\/67)*w)**48 assuming w is positive.\nAnswer: w**(-15640\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 25*p**2 + 6*p + 1. Calculate q(-2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 533853707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 + -473137\nAnswer: -473134.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-314)\/9 - (-20)\/(-180). Suppose 0 = -3*t - 0*t - 126. Let m = y - t. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 7*y + 10. Let v be i(-10). Let b = -10 - v. Solve 4*j = 5*j - 3*d - 2, 3*d + b = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52338 + 52338 - 4*y**2 + 6*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -222, -178 in increasing order.\nAnswer: -222, -178, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyycycpcypcpy. What is prob of sequence yc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*n = -3082, 395*n = 2*h + 397*n - 2028. Sort h, -3, 14 in descending order.\nAnswer: h, 14, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7 - 4*w - 7 + 0. Let x(c) = -3*c. Give x(y(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f + 41854 = 699694. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + q = 3*q + 452, 0 = 4*y - q - 611. Let n be 0 - (-5)\/(10\/28). What is the greatest common divisor of y and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53655*a**5 + 2918817*a**4 - 40594557*a**3 + 52355931*a**2 - 14622444*a - 4092 = 0. Calculate a.\nAnswer: -1\/3577, 2\/5, 1, 22, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 4. Suppose i*t - 4*u = -26, 2*t - 3*u = -t - 18. Let o(z) = -z**3 - z**2. Determine o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819 is divided by 473.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2284 and 5139.\nAnswer: 20556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let b = 80 - 25. Suppose -c = -5*v + 3*c + 72, v = -3*c + 3. Let j(p) = v*p**2 - b + 55. What is j(x(w))?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 32, 5 in ascending order.\nAnswer: -5, -2, 0, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.24, 6, -2, 16\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c - 879 - 63 = -226*c - 132 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1848)\/(-198)*(-153)\/136.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 55 + -42 + 1 + -5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + (3 - -1 - -28).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 a factor of 739836168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 6*s**2 - 1 + (-3*s + 0*s + 2*s)*(-3*s + 3*s - 2*s) + (-6*s + 2*s + 2*s)*(s - 2*s - s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 5) to base 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1505 and -0.1.\nAnswer: -1505.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819352?\nAnswer: 2, 23, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378 is divided by 85.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113*(38276\/16404)\/((-1)\/(-6)*14).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42663828 and 5380173?\nAnswer: 2431838196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/11, -1\/4, 32 in decreasing order.\nAnswer: 32, -1\/4, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 12:33 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-18)\/3402*49\/(-21).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4117126 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -j - 18, -2*j - r = j + 38. Let b be 24 + j - (-1)\/1*5. Solve b*k - 14*k - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Let m(k) = k**2 + 4*k + 3. Let h(u) = m(u) - 3*x(u). Let c(d) = -7*d**2 - d - 2. Let n(j) = -c(j) - 5*h(j). Find z, given that n(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 11. Let k be h(-5). Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*w + 8 - 2, 2*w - 24 = -5*c. Suppose -w*u - 304 = -4*u - o, -152 = -u - 5*o. Calculate the highest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1408874388 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/36 and -103\/68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 5. Does 4 divide (45 - s) + -1 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 67*b - 12 - 7.\nAnswer: -67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 3, -4, 165.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9709 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 2*x)*(-2*x + 2*x + 2*x**3) + 5448*x + 1072*x**4 - 5448*x.\nAnswer: 1070*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2) - ((-882)\/56)\/(-9). Let i be 0 + 0*(-1)\/2. Factor 0 + w*c**3 + 0*c**2 + i*c.\nAnswer: c**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 7}. What is prob of sequence ppd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 682 = 6*h - h, -h = k - 166. Suppose 213 = 5*y + 4*v, 0*v - 2*v + k = 4*y. Which is greater: 42 or y?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**3\/3 + 9*n**2 - 43*n - 31. Let z be l(15). What is the third derivative of -507*h**2 + 4*h**6 + 500*h**z - 41*h**6 wrt h?\nAnswer: -4440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**6\/39 - 2*w**5\/13 + 3*w**4\/26 + 6*w**3\/13 - 3. Suppose l(o) = 0. What is o?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10111?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0 - 9\/7*y**4 + 3\/7*y**5 - 3\/7*y**3 + 0*y + 9\/7*y**2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/(-12))\/(2*(1152\/32)\/864).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5 - 24*p**4 + 94*p**3 - 104*p**2 - 96*p + 128 = 0. Calculate p.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 98\/35 + 4)*4\/24. Let s(o) be the third derivative of 0 + 0*o**5 + 2\/525*o**7 + 0*o**3 - 1\/50*o**6 + f*o**4 + 0*o - 14*o**2. Factor s(j).\nAnswer: 4*j*(j - 2)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**4\/4 + 10*h**3\/3 - 7*h - 4. Let f be k(5). Is f less than or equal to 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*z - 7626 = -349*z - 29496 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k - 1. Let u be z(1). Let t(o) be the first derivative of 4*o**3\/3 - 2*o**2 + 5*o - 2. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/(-42))\/((-8)\/72). Solve n*g - 21 - 3 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 2. Let y(i) = 2*i - 1. Let v(p) = -3*g(p) - 4*y(p). Let l(t) = t - 1. Let f be 22 - -16*(-12)\/8. Calculate f*v(s) + 3*l(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 2, f: 3, j: 6, p: 2, h: 4}. Give prob of sequence fcj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-20)\/15)*(-264)\/198)\/((-12)\/138)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 c when four letters picked without replacement from {c: 7, y: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 26 in decreasing order.\nAnswer: 26, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 219588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -2*m. Suppose 4*n - 3 - m = 0. Solve -b = -0*b - n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 3*l**5 + 5*l**5 + (148*l**3 + 45*l**3 + 100*l**3)*(-2*l**2 + 2*l - 2*l).\nAnswer: -583*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*t + 12*t - 6*t - 197*t + 59*t - 10*t.\nAnswer: -200*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5180783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854375979 to the power of 1\/2, to the nearest integer?\nAnswer: 62084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 6, 5*h = -0*w + 2*w + 19. Let c be 10\/5 + 5\/w. What is the nearest to -0.1 in -3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.12 (c) -0.4 (d) 722 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 3}. Give prob of picking 1 z and 1 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -19*u**2 - 50140*u. Let y(w) = 2*w**2. Give d(y(k)).\nAnswer: -76*k**4 - 100280*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989351385.\nAnswer: 5, 7, 433, 131267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367 - 344. Solve -9 = u*p + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14701070 and 0.2?\nAnswer: 14701069.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 808.6 - 807\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -315*s**5 + 74108*s**3 + 14615*s**2 + 4215 wrt s.\nAnswer: -18900*s**2 + 444648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*w + 1322 + 253 = -683*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*x = 134*x - 531 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 22. Let f be 13*1 + ((-24)\/(-14))\/(21\/(15582\/(-212))). Solve l = 2*u + f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3314748506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsl when three letters picked without replacement from {t: 5, s: 3, l: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5056 + 19485 = 170. List the prime factors of x.\nAnswer: 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-27)\/(-2))*1092\/910. Suppose -i*a = -37 - 98. Solve 0 = -5*d + c + 20, -4*d + 4*c = -a*d + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2984*b**3 + 2987*b**3 + 2853*b**3 - 8829*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*5*(-3)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 368 or 362?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let c = 3 + l. Sort 3, 1, c in decreasing order.\nAnswer: c, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*d + 12081 + 4363 = 4278. Calculate the remainder when 5133 is divided by d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllllllrllllll. What is prob of picking 3 l and 1 r?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 8 - (2 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 + 2*i - 12. Let t be n(-5). Suppose 0 = t*z - z - 60. Let j be ((-3)\/2)\/((-5)\/z). What is the greatest common factor of j and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {o: 2, y: 3, a: 1, d: 3, m: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 59 + 173724\nAnswer: 173783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 38 = 5*v, -4*c = 115*v - 118*v - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 97*c**2 - 19*c - 20. Let b(n) = 33*n**2 - 7*n - 7. Calculate 8*b(k) - 3*t(k).\nAnswer: -27*k**2 + k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1563 - 1710. Which is the third smallest value? (a) z (b) 3 (c) 0 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*c - 23050 = -92*c. List the prime factors of c.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 + -4)*(-7)\/14)\/(-2 + (-147)\/(-74))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 + 20*z - 40. Let q be g(2). What is the greatest common factor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4317 = -36*g + 33*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = j - 17, -2*j - k - 19 = -5*j. List the prime factors of -121*(30\/j)\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 18 - 2 - (1 + -1). Let v = 43 - -1. Let t = h + v. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 3029969*p\/2 - 19694883.\nAnswer: (p - 13)*(p + 3029982)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4\/7 + 2031*g**3\/7 + 199935*g**2\/7 - 57993*g + 203988\/7 = 0. What is g?\nAnswer: -89, 1, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -156, 5, 1\/3, 7\/15.\nAnswer: -156, 2\/17, 1\/3, 7\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 0.05 (c) 450\/23 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/152838489 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/100746377 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47 - 90 + 42 - 6*k**2 + 51*k + (-3 + 3 + 2*k)*(2*k - 4*k + 0*k) - 2*k**2 - 2 + 2.\nAnswer: -12*k**2 + 51*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 - j + 1. Let y(d) = -34*d**3 + 3*d**2 + 4*d - 4. What is -3*n(z) - y(z)?\nAnswer: 37*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o. Let c(y) = -9*y. Let m(g) = 6*c(g) + 4*f(g). Let x(b) = 28 - 85 + 32 - b + 25. Determine x(m(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/4)\/(u\/(u\/(u*u\/(u*u\/(u*u\/(((u\/(u\/(u*u**(1\/20))*u))\/u)\/u))*u))))*u**27*u*u\/u**(-10) assuming u is positive.\nAnswer: u**(363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-6) + 18722\/44. Let j = 436 - r. Solve -4*m = -2*y - j - 0, -m - 5*y = -24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -691.91 - -707. What is o rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0830057 nanograms?\nAnswer: 0.0000000830057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -26. Let o(s) = 2*s**2 - 8*s + 5. Let q be o(r). Let w = -71 + q. Calculate the greatest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 44 + f**3 + 2*f**2 + 46)*(-2*f + f + 2*f).\nAnswer: 4*f**4 + 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:08 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) - 84\/(-35). Let s = -0.7 - -0.8. What is the smallest value in u, s, 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 159 + 57 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(1300) + -1 + 2))**2*-2.\nAnswer: -94248 - 4320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 12*z - z + (z + 0 + 0)*(3 - 5 + 3) - 2*z + 2*z - 2*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80574 is divided by 275.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/684)\/((280\/21)\/(-4))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -25. Suppose -4*l + m = -2*u, -4*l + 5 = 4*u - 31. Suppose -4*k = 3*j - 6 - u, 5*j + 35 = 4*k. What is the greatest common factor of 40 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0 + 4 - 3)*(50*h**4 + 61*h**3 - 61*h**3).\nAnswer: 100*h**5 + 50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 4*d**2 + 4*d**2 + 4*d**2 + 22*d to g*d**2 + x*d + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4640.16 - 4640. Let u = -0.73 - -0.33. What is the nearest to -1 in -3, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-4*a**2 - 4 + 4) + 4 + 1 + 8*a**2 - 2.\nAnswer: 20*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -446*z - 836. Let c be p(29). What is c rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + (42 + -31 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:06 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 356 - 2. Let d = 75 + i. Suppose 13 = -w + 16. Solve 5*r + 32 = -0*r - w*o, -3*r - o - d = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(80)*-3*5.\nAnswer: -60*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17752125 - -1?\nAnswer: 17752126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**3. Suppose 5*n = 3*j - 3, -2*j + 0 = -n - 2. Calculate u(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/12 + 2*h**3\/3 - h**2\/2 - h. Let k = 33 - 40. Let y be w(k). Solve -4*n = -0 + y, 0 = 2*l + 3*n + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owppcgwoogcgpwog. What is prob of sequence cwow?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 2*c + 5*c)*(-313 - 476 + 269 + 1 - 5 + 2 + (3 - 3 - 2)*(-3 + 0 + 2) - 2 - 2 + 5) to the form s*c + k and give s.\nAnswer: -4152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 2*u - 2*u)*(0 - u + 0)*(11*u - 4*u - 4*u).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 3*o + 0*o + o. Let t(p) be the second derivative of -2*p**3\/3 - 5*p. Calculate t(w(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -72. What is the second biggest value in -5, -1.2, q?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20565372 - -2?\nAnswer: -20565370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let a(u) = -4*u**2 - 9*u**r + 14*u**2. Let y(z) = -3*z**2. Give a(y(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12283\/6 + 53191\/26. What is the common denominator of b and 61\/195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -1, 6, 2 in descending order.\nAnswer: 6, 2, 3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:34 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(2*sqrt(5)) + 3.\nAnswer: sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1101 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-2\/5))*n)\/n)\/n*n)\/(n**(-6\/11)\/n*n)*n*n\/(n*n**(-3)*n)*n*n**(-6\/5)\/n assuming n is positive.\nAnswer: n**(107\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 + 4*c**2 - c - 11. Let t(o) = 3*o**3 + 19*o**2 - 14*o - 2. Let y be t(-7). Let p be f(y). Solve -28 = -3*h - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -357.\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*n = -4, -29*z + 24*z - 3*n = 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*j + 121*j - 200 = -5*w, -160 = -4*w - 2*j. What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219.081 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 m, and 1 n when four letters picked without replacement from {b: 2, m: 4, n: 7}.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 + 6 = 0. Factor p**4 + 6*p**t - 2*p**4 - p**3 - 3*p**3.\nAnswer: -p**3*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.79 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14121 plus -2514133985?\nAnswer: -2514119864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 36. Let u = 39 - k. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) - 92\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18461672791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*x + 0*x - 3*x) + x - 5*x + 2*x + 350 - 522*x - 350 + (3 + 2*x - 3)*(-3 + 0 + 2).\nAnswer: -525*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 33. Calculate the greatest common factor of c and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, -39 in increasing order.\nAnswer: -39, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*r - 7731*r**2 - 8*r - 93*r to y*r**2 + l + k*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 94431?\nAnswer: 94460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/8 - 11*y**4\/8 - 17*y**3\/4 + 13*y**2 = 0.\nAnswer: -4, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56917 + 56884.9906. Let n = -32 - z. What is n rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 + 156. What is the greatest common divisor of 38 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -206, -308, -410, -512?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*z = 2*c + 29, 0 = -3*c - 5*z + 37. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + 1 + 3 + (sqrt(1872)*-2 + 4 + sqrt(1872))**2.\nAnswer: -87*sqrt(13) + 1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.137*2122.19\nAnswer: 290.74003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 361\/5. Let g = -2 - -1.6. What is the second smallest value in s, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*l - 106*l = 182775. List the prime factors of l.\nAnswer: 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134.9 + 135. What is the closest to 0 in 1\/3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l**2 + 4. Let o be b(0). Suppose -h + 2 = -0. Sort 5, h, o in descending order.\nAnswer: 5, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 24 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.85863049 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40298.\nAnswer: 2, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 10*v + 13. Let u be d(-11). Suppose -w + u - 5 = 0. Let s(a) = -a**3 - 4*a**2 - 4*a - 3. Let f be s(w). Solve 3*k - k = f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -1178101 in increasing order.\nAnswer: -1178101, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)\/d*d*d**(2\/5)\/d*d)\/(d*d**(-2\/13)*d\/(d*d\/d**5)) assuming d is positive.\nAnswer: d**(-1091\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 17. Let l be b(-10). Let j(g) = 12*g**2 - 25*g + 6. List the prime factors of j(l).\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Let k be ((-1)\/4)\/(12\/(-36)). Which is the nearest to 1? (a) k (b) w (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*64\/(-672).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 350573.6ml?\nAnswer: 350.5736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/(4\/24). Suppose 0 = z - 3*x - 82, l*z + 2*x + 28 = 314. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/5289998 and 69\/6045712?\nAnswer: 42319984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - 2*2*sqrt(11)) + 5)*-2)**2.\nAnswer: -120*sqrt(11) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/3*(-39)\/13. What is the smallest value in -1, -3\/2, f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*36.583\nAnswer: -18.2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2822 + 1168 + i**2 - 3193 + 675 - 924.\nAnswer: i**2 - 5096","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 214 + -211. Suppose 0 = y*x - 26 + 8. Solve 0 = -x*o + o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/2646*(-2)\/((40\/12)\/(-5))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1661*t - 2*y + 6*y = -1663*t - 52, 2*t - y - 3 = -70 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -3.68\nAnswer: 2.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -18*b**2. Let i(l) = -2790*l**2. Give i(v(u)).\nAnswer: -903960*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:13 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -14.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -109827 < -109603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143*d**3*j**3 + 2*d**3*j*k + 35*d**3*j + 5*d**2*j**3*k + 7*d**2*j**2*k + 7*d*j**2 - 87*d*j*k + 42*j**3*k wrt j.\nAnswer: -858*d**3 + 30*d**2*k + 252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2608 - -2612. Factor 1\/2*b**n - b**2 - 3\/4*b**3 + b + 1\/4*b**5 + 0.\nAnswer: b*(b - 1)**2*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*-1 + -2. Let g be 2\/1 - (-1 + -2). Suppose -g*v = -2*v - 12. Sort w, v, 3 in decreasing order.\nAnswer: v, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*v = 11, -v - 20 = 5*z + 4*v. Let h(m) = 6*m + 18. Let a(s) = -7*s - 27. Let n(j) = -2*a(j) - 3*h(j). Calculate n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13403.996 + -13404. Let y = 1.607 + 4.397. Let s = f + y. What is the closest to 2\/3 in -0.5, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98542336 and 67929?\nAnswer: 295627008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-327)\/9)*(-3)\/(-2). Let l = 173 + c. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 2, 3, -4, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dozkkokkkzoz. Give prob of sequence oko.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1114 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1680 and 10962000?\nAnswer: 10962000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0, 2\/11, -56\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 440 + -439. Let j(r) = r**2 - r + 1. Let y be -5*((-1)\/1 - 0). Let m(q) = -q**3 - 5*q**2 + 5*q - 5. Calculate g*m(u) + y*j(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**9\/126 + j**5\/10 - 2*j**2. What is the third derivative of k(v) wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -68 (b) -0.4 (c) 1 (d) -6 (e) 0.2542\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44))*6 + sqrt(11) + 4*1*sqrt(11) - ((sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*-2) + sqrt(88) + sqrt(88)))*-6)\/sqrt(8).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**19*d**7 assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from {c: 3, t: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 9, 72, 165, 288, 441?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5 - 5. Let o be 1\/1*(w - 1). What is the units digit of 2 + 2 + -2 - o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51968444951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjd when three letters picked without replacement from damjpararraa?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.20276. What is v rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 6)*(3*v - 3*v + 2*v**2) + 3*v**2 + 8*v**2 - 17*v**2 + (v**2 + 13*v - 13*v)*(2 + 0 + 1).\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272 - -280. Put -6, 3, x in descending order.\nAnswer: x, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pip when three letters picked without replacement from hpiptiptppipip?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/120 + a**5\/6 + a**4\/8 - a**3\/6 - 10348*a**2. Determine s(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-19) - -2*(-77)\/(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)*3 + sqrt(1176) - sqrt(1176) - sqrt(24))\/(sqrt(24)\/(sqrt(3)*1)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 18. Let l = -15 - -18. Suppose l*b = -0*b - 4*a + 4, 2*b - 1 = -a. What is the tens digit of u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*t + 15, 0 = 5*t + 3*s + 1 - 29. Let u(h) = 24*h**3 - 6*h**2 - h + 5. Let w be u(t). Is 3 + w\/2*(-4)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 + 3*g**4 - 4*g**4 + (g - g + 2*g**3)*(6*g + 3*g + 0*g) to v*g**2 + s*g**4 + l*g + r*g**3 + f and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(2 - 3 - 2)*(207*c + 208*c - 414*c + 3).\nAnswer: -6*c - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*c + 8, -19*l + 0*l - 4*c + 9*c - 304 = 19*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5348 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 6*c + 5. Suppose s = -3*s, 2*p + 4*s + 14 = 0. Determine x(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 37437*l**3 + 74871*l**2 + 37435*l.\nAnswer: l*(l + 1)**2*(l + 37435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -190 - (-24 + -162) - (1 + -78).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2414.9 - 918.1. Which is smaller: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v + 35. Let j(l) be the first derivative of l**4\/4 + 8*l**3\/3 + 2*l**2 - 4*l - 3. What are the prime factors of j(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16065089 to the power of 1\/2, to the nearest integer?\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -130\/57, -1059\/7, -0.16 in increasing order.\nAnswer: -1059\/7, -130\/57, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -277 - -272. Which is the third biggest value? (a) 11 (b) l (c) 2\/11 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**5\/10 + 4*i**3\/3 - 3*i**2\/2 + 5*i. Let j be s(6). What is the common denominator of -37\/10 and (-2)\/(-8) + j\/(-60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 10*j)*(0 + 0 + j)*(-j + 5*j - 2*j)*(0 + 0 - 1) - 8*j**2 - j**3 + 8*j**2 to x*j**3 + d*j + a + q*j**2 and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 442 divided by 17\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s**2 + 6*s + 13. Let j be i(-2). Let y = -43 + j. What is the units digit of y*(0 - -2)*(-31)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10864 is divided by 5420.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 3*g**2 + 2*g + 1. Let l be q(-3). List the prime factors of 4\/10 + l\/((-75)\/1374).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 - 84*u**3 + 82*u**2 = 0. Calculate u.\nAnswer: 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 165. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.4 (c) -4\/38981 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o**2 - 558*o - 58. Calculate the smallest common multiple of u(40) and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -28 (b) 1 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**6 + 63*d**6 - 35*d**6 + 20*d**2 wrt d.\nAnswer: 3720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -13.09. Let b = -1239 - -1250.61. Let k = w - b. What is k rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 - 34680*k**3 - 135180684*k**2 + 131412195720*k - 28717270679682 = 0.\nAnswer: -9087, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 417655 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-13 - (-5 - 17)) + -25 + -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, p: 2}. Give prob of picking 2 s.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13815362?\nAnswer: 2, 11, 79, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/9816 and -25\/14.\nAnswer: 68712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 49. Let m = g + -71.00424. What is m rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(3*x + 2*x - 2*x + (-4*x + x - 2*x)*(-4 + 1 - 13)).\nAnswer: -166*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 - 2 - 761*k - 1 - 3 to the form y + a*k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2. Let j(v) = 4*v**2 - 6*v. Let d(s) = -s**2 + s. Let r(y) = -3*y**2 + 3*y. Let f(z) = 2*d(z) - r(z). Let k(t) = -6*f(t) + j(t). Give k(i(u)).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3351 and -0.95.\nAnswer: -3183.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 200\/(-112) - (-6)\/4. Let n = -0.04 - -0.13. Which is greater: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386674567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 0, 1961 in descending order.\nAnswer: 1961, 0, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11350\/4911 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20b970 + -8?\nAnswer: 20b967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 31*y - 29 + 82 = -72*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-1\/2)*l)))\/l**(-3\/8)*(l*l**(3\/7))\/((l\/(l**4*l))\/l)*(l**(-4\/5)*((l\/(l\/l**1))\/l)\/l)\/(l**(1\/2)\/l)**(16\/7) assuming l is positive.\nAnswer: l**(1861\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8867 - -8903) + -1 + -28?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75\/238 + 1\/34. Which is the nearest to d? (a) 10 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -12, -4 in descending order.\nAnswer: 4, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/3)*v)\/v*v\/(v*(v**(3\/2)\/v)\/v)*(v**(-1))**(2\/17))**(2\/47) assuming v is positive.\nAnswer: v**(277\/2397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 76.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 - 804902*a**2 + 1267011*a.\nAnswer: 12*a - 1609804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 518 - 542.3. Let l = -24 - j. Put l, -0.1, 6 in descending order.\nAnswer: 6, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/540*-12 + (40624\/(-18))\/4. Is -563 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 619.6594m to centimeters.\nAnswer: 61965.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5190*p + 1671. Let l(t) = -1732*t - 555. Let d(r) = -3*h(r) - 8*l(r). What is the first derivative of d(u) wrt u?\nAnswer: -1714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 7*m + 7 + 6*m**3 - 5 + 8*m**2. Let s(o) = o**3 - 7*o + 5*o**2 + 4*o**3 + 2 + 0 + 2*o**3. Let d(p) = -5*s(p) + 6*t(p). Give d(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25606360 by 104.\nAnswer: 246215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1\/2 (b) -2 (c) -0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + v. Let m(c) be the second derivative of -3*c**4\/4 - c**3\/6 + c**2\/2 + 291*c + 1. Calculate -b(r) - m(r).\nAnswer: 10*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22871053\/7 at most as big as -3267294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 - 32. Suppose -28*x = -25*x - s. Solve -4*i - x = 4*u, 3*i - 4 + 29 = -5*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -74*o + 1048. Let b be a(13). Solve -30*v - b = 13*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**3 + 2*l + 5. Let w(z) be the first derivative of -3*z**4\/4 - z**2\/2 - 2*z - 8. Give 2*d(s) + 5*w(s).\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -0.1, 2\/29, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w**4\/8 - 103*w**3\/8 - 40*w**2 + 25*w\/2 = 0. What is w?\nAnswer: -10, -5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j**2 + 31*j + 12. Let k(r) = -r. Suppose -c + 5*v = 2*c - 8, -2 = c + 3*v. Let q(m) = c*h(m) - 5*k(m). Solve q(z) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27361 is divided by 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 3*r)*(-4 - 1 + 0)*(3 + 3 - 3)*(1 + 3 - 2).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/319964 and -79\/319964.\nAnswer: 319964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 27. Let l = -36 + 45. What is the remainder when r is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (0 + -6))*(-4)\/(-56). What is the second smallest value in 3\/2, -3, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 + 5*o**3\/3 - 3*o**2 + 3*o + 19. Let q be j(5). What is the units digit of 0 + -2*(q - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, c: 14}. What is prob of picking 1 z and 2 c?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 747.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s**2 + 40*s - 16. Let p be n(4). Let b(o) be the second derivative of p + 21*o + 0*o**2 + 7\/4*o**4 + 0*o**3. Let i(v) = -2*v. Determine i(b(x)).\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -21*l + 1. Give i(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13018?\nAnswer: 2, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, 4, -12841 in decreasing order.\nAnswer: 24, 4, 1, -12841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48.9, 1, -0.3, -1\/6, -5\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*v**3 - 1075*v**2 + 2157*v**2 - 1080*v**2 - 48*v**3.\nAnswer: 160*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 + 2)*(4 - 4 - 7*m**4).\nAnswer: -70*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 22*g**2 + 3*g + 3. Let u be s(-3). Let l = u - 1543\/8. What is the common denominator of -131*((-50)\/24 + 2) and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - l**2 + l - 1. Calculate b(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 672, -4\/109, 1\/3?\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -4)**2 + 5 + -2.\nAnswer: -64*sqrt(19) + 1235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.4831 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/60 + b**4\/12 - 3*b**2 - 19. Let n(o) = -o**2 - 5*o - 4. Let s(k) = n(k) - 5*z(k). Solve s(u) = 0.\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 2*c**3 + 23*c**3 + 11*c**3 + (-4*c**2 + 3*c**2 - c**2)*(-c - c + 0*c) - c**2 + c**2 + 2*c**3 - c + c + c**3 + c**3 + 5*c**3 - 4*c**3.\nAnswer: 43*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u**3 + u**2 + 2*u + 14. Let m(j) = 22*j**3 + 2*j**2 + 2*j + 15. Let g(k) = 7*c(k) - 6*m(k). Factor g(q).\nAnswer: (q - 4)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obobooooo. What is prob of picking 2 o?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -61. What is the common denominator of (-2572)\/(-72) + (-4)\/b and 73\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 = -3*x, 4*p - 18 = 55*x - 58*x. What is the greatest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2316*m**2 + 6424*m + 2 wrt m?\nAnswer: 4632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**6\/6 + 7*a**4\/12 - 15*a. Find the third derivative of k(u) wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47422 < 6686366\/141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3040 * -0.1.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -14*n - 6. Let y(m) = 14*m + 5. Let s(c) = 4*g(c) + 5*y(c). Suppose 8 - 11 = 3*p. Give s(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 9*f + 4. Suppose -51*r + 53*r - 17 = -u, -5*r + 59 = -3*u. What is n(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m - 13 - 17. Let x(a) = a**3 - a**2 + a. Let g(t) = 7*t**3 - 9*t**2 + 9*t + 1. What is m*g(k) + 18*x(k)?\nAnswer: 4*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 21853.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.8825585 rounded to three dps?\nAnswer: -14.883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81.954 + 0.046. Let s = 1319607 - 1319524.99868. Let j = q - s. What is j rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210 - 105500?\nAnswer: -105710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 + 2*s**2 - 2*s**2)*(0*s - 2*s - 4*s) - s**3 + 0*s**3 - s**3 in the form g*s + t*s**3 + h + z*s**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, and 1 i when three letters picked without replacement from {j: 7, b: 2, m: 2, s: 3, h: 1, i: 3}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)*-6)\/(-2*sqrt(75)).\nAnswer: 9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**2 + 7*p - 7. Let d(t) be the first derivative of 3*t**2 - 4 - 6*t - 7\/3*t**3. Determine -7*d(s) + 6*v(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 11 + 6*g - 1 - 5 - 4.\nAnswer: 9*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d**2 + 0 + 1 + 5*d + d**2. Let j(m) = -m**3 + 4*m**2 - 4*m. Let n be j(3). Let r = n + -1. Determine q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/6)*a**(-5))**45 assuming a is positive.\nAnswer: a**(-435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:07 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 964 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 800412571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -50*l**3 - 7*l**2 - l + 3. Let p = 44 - 49. Let j be c(p). Let w = j + -3934. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38053 divided by -5?\nAnswer: 38053\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i + 13 - 53. Let s be -6020005 + (12 + -2)\/i. Round s to the nearest one hundred thousand.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5\/4 - 14895*f**4\/4 - 18510741*f**3\/4 - 55398249*f**2\/4 = 0. Calculate f.\nAnswer: -2481, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viicciicci. Give prob of picking 1 i and 2 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) 11 (c) 15912 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97063 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssss. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51640, 103288, 154936, 206584, 258232?\nAnswer: 309880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 84*t**2.\nAnswer: 3*t**2*(t + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -22\/3 (c) -2 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d - 5. Let u(k) = -12*k - 8 + 15*k - 6 + 12. Let l(p) = p + 5. Let t be l(-14). Determine t*u(o) + 4*i(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*u - 2*u. What is the third derivative of -54*k**3 + k**6 + 54*k**3 + u*k**2 wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 234 by -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5149*m - 130958 = -1612*m + 119846 + 39919 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4 + 105584*t**3 - 844720*t**2 + 1689472*t = 0.\nAnswer: -105592, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and -5.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/28 + 0\/1. Let d = z + 5\/12. Are 1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1436, -3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15)\/a*a**11)**30 assuming a is positive.\nAnswer: a**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001087 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43825.08mm?\nAnswer: 4382.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 297\/165*30\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -32728 (c) 394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 9, -13 in decreasing order.\nAnswer: 9, -3\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142346521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1235990 and 0.3.\nAnswer: 370797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 985 = 3*i, -5*z = -z - 20. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2038275 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 814, 6 in ascending order.\nAnswer: -2, 2, 6, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*i + 10 = -235*i - 221*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 5*g + 31, 43*y + 5*g - 29 = 41*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 40. Let f be h(10). Let j be (-2 - (-24)\/10)\/(f\/(-50)). Let r = -4 - -2. Which is the closest to -1? (a) r (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 11:24 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-1)\/(-4) + (22 - 171535\/(-116))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424870?\nAnswer: 2, 5, 42487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*x + 25. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -26?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -12?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -7)*(-10)\/2. Let m(a) = a**3 - 22*a**2 + 21*a + 3. Let x be m(21). Suppose -x*v = -s*v + 318. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*h - 3*r, -h + 92 = 3*h + 5*r. Let s = h + 8. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.6050303 to one decimal place.\nAnswer: -104.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + 3851?\nAnswer: 3878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b + 73. Calculate z(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, 41, 5, -2, -3 in decreasing order.\nAnswer: 41, 5, -2, -3, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -384?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325159 is divided by 443.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 289*s**2 - 295*s**2 - 231 + 129.\nAnswer: -584*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 h when four letters picked without replacement from {q: 1, e: 3, b: 1, h: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 691.6911 micrometers?\nAnswer: 0.6916911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1086953 millilitres in litres?\nAnswer: 0.0001086953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*j**2*m*n - 13492*j**2*m + 7*j*m*n - 1028*j*m + 2*j + 28*m*n + m + n wrt j?\nAnswer: 58*m*n - 26984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*-2 + sqrt(100))\/sqrt(5).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12400*t - 12400*t + 165*t**5 + (-2*t**2 - t**2 + t**2)*(-4 - 2*t**3 + 4) + 3*t**2 - 2*t**5 - 3*t**2 - 7*t**5 + 2*t**5 - 4*t**5.\nAnswer: 158*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*s - 26*s - 321. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.81, 0.4, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 222 + -227. Let q(t) = 5*t**2 - 3*t. Let x(y) = -9*y**2 + 5*y. Calculate c*q(m) - 3*x(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -402611\/129 + 3121. Let v = -379\/516 + f. Let h = 1 + -3. What is the smallest value in h, v, -3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 126679 + 126639 = -2*g, -u + 37 = 2*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((30*p**2 + 154*p - 154*p)*(0 + 0 - p) - 9 + 1 - 1 - 2*p**3)*(-2*p - 3 + 3).\nAnswer: 64*p**4 + 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*k + 1 = -3*k, -o + 4*k - 7 = 0. Let y be -2*-2*(-40)\/32. Which is the smallest value? (a) y (b) 40 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) + (sqrt(114) - sqrt(114)*2*4) + sqrt(114) + sqrt(114)))\/((sqrt(6)*2 + sqrt(6))*-2).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(5\/7)*r**(-2\/7))**(-33) assuming r is positive.\nAnswer: r**(-330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 717557111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 10. Suppose v*n + 216 = 5*m - n, m + 3*n = 47. Let u = 44 - m. Solve f + 17 = 4*c, u*f + 4 = 3*c + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.5, -2, -5\/12, 33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -1357*p**3\/3 - 1067. Let u(y) = y. Calculate z(u(g)).\nAnswer: -1357*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 771 = 2*j + 21, 2*j - z - 750 = 0. Suppose 2*a - i + 0*i - 139 = 0, 0 = -5*a - 3*i + j. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 6*s - 4. Suppose 35 = 8*a - 21. Calculate x(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -98.6, 5, -51\/5, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 3*t**2 - 4*t. Let c be s(-3). Let r = 0 + c. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1ab97b?\nAnswer: -1ab97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g - 1230727 = 1999519. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -29*d - 5. Let p(v) = -92*v - 16. Let n(y) = -16*l(y) + 5*p(y). Let x(j) = -36*j. Give x(n(c)).\nAnswer: -144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2087 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/74280 and -97\/58452.\nAnswer: 361817880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 1\/3*j**3 - 2 - 3*j**2 - 8*j. Let p be r(7). Put p, 1, -4 in increasing order.\nAnswer: -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*d + 7*d + 196 = 0, -254 = -5*g - 4*d. What is the remainder when g is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 w, and 1 f when four letters picked without replacement from {n: 2, c: 2, r: 2, w: 1, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 - 2*x**2 + (-2*x - 1 + 1)*(x - 3*x + 4*x))*(x**3 - 3*x**3 - 2*x**3).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6103578 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/256 and 13\/64.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + 0 + 15 + -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 + 4*k - 12. Let u(j) = 5*j**2 + 5*j - 15. Let m(x) = 5*b(x) - 4*u(x). Let o(w) = -25*w**2. Determine o(m(q)).\nAnswer: -2500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -5*k + 191. Suppose a + k = 3*j, -61 = 8*j - 10*j - a. Calculate the highest common factor of 160 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - 56. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/29 (b) 1 (c) -10 (d) 2\/11 (e) -199\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/2 (b) -2\/11 (c) -181 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*m + 181, g - 4*m - 6 = 34. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11922692 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349359449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3972*g + 126*y = -3974*g - 770, -5*g = -5*y + 5 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 9*w + 3. Let i be p(-7). Let d = i + -11. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2857 divided by 1\nAnswer: 2857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 7\/(-2))*64\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2. Let w(x) = -8*x + 35. Determine z(w(q)).\nAnswer: 384*q**2 - 3360*q + 7350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.7 - 0.7. Let v = 51.3 + -51. Which is the second smallest value? (a) k (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -20*n**2 + 3*n + 2. Let s be (-4)\/(-6)*(-29)\/((-638)\/(-33)). Calculate q(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -9, 2, 4, -1558, 5 in increasing order.\nAnswer: -1558, -9, -5, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5494059244 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s + 2. Let l = 2 - s. Let d be (-1 - -2) + l*54. Calculate the highest common factor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:38 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -397*w**2. Let u(t) = -3*t**2. What is n(u(k))?\nAnswer: -3573*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 11:00 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -42. Let l(o) = 40*o**2 + o - 1. Calculate the remainder when l(1) is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -34519 and -34520 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 6. Let y be n(0). Suppose -5*g + 191 - 36 = 0. Calculate the remainder when g is divided by (-36)\/(-2) + y\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286347246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuubuubbuuuubu. Give prob of picking 3 u and 1 b.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, o: 1, j: 4}. What is prob of sequence lll?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2288*c + 20. Let w(z) = -z - 6. Give w(a(i)).\nAnswer: 2288*i - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 1400*m - 528580.\nAnswer: 5*(m - 214)*(m + 494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 8*s**2 - 10*s - 22. Let f be o(5). Suppose -f*i = -3*d + 681, -19*d + 470 = -17*d + 2*i. What is the remainder when d is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307991 is divided by 51317.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 9}. Give prob of sequence ljj.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288 + -285. Factor 1\/3*t**z + 2\/3*t**2 - 2\/3 - 1\/3*t.\nAnswer: (t - 1)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018880762 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10857 take away -4.643941?\nAnswer: -10852.356059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*p + 10 + 1, -2*p + 5 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 7*n + 18. Calculate the remainder when 64 is divided by k(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29464 = h + 2*y, 3*y = -2*h + 87202 - 28280. List the prime factors of h.\nAnswer: 2, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20292615*g**2 + 0*g + 3*g**3 + 20292615*g**2 + 0*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(((-2*sqrt(90))\/sqrt(3) - sqrt(30) - sqrt(30)) + sqrt(30) - sqrt(30))\/(sqrt(640)\/sqrt(4)) + 4.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1.0551127\nAnswer: 0.0551127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/5))**38)**(1\/3))**(-9\/8) assuming q is positive.\nAnswer: q**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnn when three letters picked without replacement from nncnsnnnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 + 24*b**4 + 184*b**3 + 368*b**2 + 300*b + 88.\nAnswer: -4*(b - 11)*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c8 - -1?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) 27 (c) -2\/5 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-156)*8\/(-10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4077 + 0.0077. Which is the nearest to -1\/3? (a) -71 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 328. Let g(q) = -4*q**2. What is w(g(n))?\nAnswer: -4*n**2 - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-32)*(r\/(r*r**1))**(3\/20))\/(((r*r\/r**(-3\/7)*r)\/r)\/r*r**(-4)*(r**1*r)**(-27)) assuming r is positive.\nAnswer: r**(12379\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmj when three letters picked without replacement from {j: 2, m: 3, t: 2, d: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4\/11 (c) 1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w - 73. Let i(q) = -5*q + 36. Let s(b) = 5*i(b) + 2*y(b). Let l be s(10). Suppose 6 = 5*k - l. Solve -2*f = -k*d - 10, -3*f = -d - d - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15686783*s**3 + 41310874.\nAnswer: -47060349*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4\/2 + 251847*k**3\/2 + 5285450025*k**2\/2 - 5285701875*k\/2 = 0.\nAnswer: -41975, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 8253?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0 - 4\/3*i**3 - 3*i**2 + 0*i**5 + 1\/30*i**6 + 0*i + 0*i**4. Differentiate s(p) with respect to p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) 0.05 (b) -13\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -2*w - 2. Suppose -4*p + 3 = -3*p. Solve -p*n = -4 - w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 1 + 1)*(326 - 134 + 5*m - 149).\nAnswer: -5*m**2 - 43*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**3 - 6*i + 3 - 9\/2*i**2. Factor r(k).\nAnswer: -3*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5373 + 11299. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*267\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 17*v**2 - 1. Suppose 9*b - 24 = 13*b. Is m(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123017570*d**4*g**2 - 2*d**2*g**2 - 125*d**2*g + 2*d*g**2 - 4*d*g + 157*d + g**2 wrt d.\nAnswer: -2952421680*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/1544 - -84927\/10808. Find the common denominator of -38\/23 and y.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivd when three letters picked without replacement from {d: 1, m: 6, i: 3, v: 3, j: 1, u: 6}?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.23, -18, 0.3?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -479, -721, -963, -1205?\nAnswer: -1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3155\/1206 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*p**2 - p**3 + 4*p**2 + 0*p**3 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1286?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in hours?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28354, 1, 4 in descending order.\nAnswer: 4, 1, -28354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**8\/420 - z**4\/12 + 2*z**3\/3 + 5*z. Let y(f) be the second derivative of n(f). Differentiate y(l) wrt l.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 1)\/(9\/12). Suppose i*h - 91 - 81 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 26. Let f(c) = -6*c + 26. Let j(r) = 6*f(r) + 5*q(r). Is j(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -757a?\nAnswer: 7581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2842525 + 48*o**3 + 2842525 + 366*o**2 - 53*o**3 - 366*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4169519mm in centimeters?\nAnswer: 0.04169519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18)*-2*5\/(-4).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, c: 2, z: 4}. What is prob of picking 1 z and 1 m?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*d - d. Suppose 3*b - 6 = -27. Let v = -5 - b. Solve -3*w - 16 = -v*a, -4*a - 8 = w + d*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*j = 2*v - 30, -110 = -4*v + 2*j. Let p = 218 + -216. Solve -5*x = -c + 17, -4*x - p*c = c + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 8712.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 5:48 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 33*a - 164. Calculate t(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07268 - 0.56654. What is s rounded to 2 decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*w = 0, 3*o + 0*o - 5*o + 1 = 5*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 19. Let g(o) = -m + 15 + 0 - o - 2*o + 3*o**2. What are the prime factors of g(-3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/6 - 62*l - 9. Let k(c) be the first derivative of n(c). Let g(b) = 44*b. Give k(g(z)).\nAnswer: 3872*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.297051\nAnswer: 0.0297051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o - 76. Suppose i + o = n, -n = -5*i - 3 - 4. Let r = n - 9. What is the greatest common factor of 143 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/77 and -61\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t**3 + 7*t**3 - 46*t**3)*(-2 - t + 2) + 2*t**3 + t**4 - 2*t**3 - 4*t**4 - t**4 - 16*t**4 in the form z*t**4 + c*t**3 + d*t + f*t**2 + l and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**3*j*j)*(j*j**9)\/j*j*j*j)\/(j*j*j*j\/j**2)**19)**(1\/20) assuming j is positive.\nAnswer: j**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129829017.\nAnswer: 3, 17, 89, 28603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -8 - 5) + (5 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by -14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/12859 and 69\/189574.\nAnswer: 31658858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351545 + 0?\nAnswer: -351545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**8\/168 + m**6\/60 - 11*m**2. Let b(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwpawzzzzzrzwzwww. What is prob of sequence zza?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031 - 4639 - 4716 = 577*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2067428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*d*i*s**2 - 18*d*i*s*w - 2*d*w**2 + 3*d - 6*i*s**2*w**2 - 2*i*s**2*w + 236*i*s*w**2 - 2*s**2*w wrt w?\nAnswer: -4*d - 12*i*s**2 + 472*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 3*z + 2*z**3 + 36 - 34 - 9*z**3 - z. Let m(i) = 29*i**3 - 9*i**2 - 9*i - 9. Determine 2*m(v) + 9*x(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16951097?\nAnswer: 19, 449, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*u + u + 400, -5*q + 500 = 5*u. Suppose -5*z + 10*z = q. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69135*h**2*u**2 - 920*h**2*u + 4*h**2 + 2*h*u**2 + 6*h wrt u.\nAnswer: 138270*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.4 + -21.4. What is the closest to 1 in 3, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012 + 222100120?\nAnswer: 222021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/5, -12\/173, 0.3, 1.\nAnswer: -5, -12\/173, 1\/5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 39 = -9*r - 2*n, 2*n = -4. Let c = -4 - r. Solve -2*h = -3*m + 7, -c*m + h + 7 + 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**2 + 229*o + 381. What is t(-27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -64. Differentiate 2*a**3 + 2*a**3 - 14 + a**r + 18*a**3 wrt a.\nAnswer: 69*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3.6. Let p = l + -2.6. Let q = -2.1 - -2. Sort q, 2, p in decreasing order.\nAnswer: 2, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 143 = -4*u + 116, 4*u + 24 = -4*q. Which is greater: -24\/13 or u?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (53 + -82 + 26)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62382 and 1405?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 34*b**2 - 12*b + 412. Let o be y(34). Solve 2 = o*c + 2*v, 6*c - 10*c + v = 13 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.4 (b) -2 (c) 0.1 (d) 391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*p. Let x be (p - -1)\/5 + 84\/30. Solve x*d**3 + 3*d**3 + 4*d**5 - 11*d**3 + 10*d**2 - 10*d**4 + d**5 = 0 for d.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17415*o**2 - 2*o**3 - 17368*o**2 + 4*o**3 as w*o**3 + u + g*o**2 + v*o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(171) - -2*(sqrt(171)*-1 + sqrt(171))) + sqrt(171))\/(sqrt(90)\/(sqrt(40)\/sqrt(4)))*-4*1.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/20)\/(8\/(-5))*5126\/(-7689).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482407081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2872, -3005, -3138?\nAnswer: -3271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14606978 to the power of 1\/2, to the nearest integer?\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*g + 8, 5*y - g + 5*g - 15 = 0. Let m(d) = -2*d**3 - 2*d**2 + 2*d - 1. Let j be m(1). Let z = j + y. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u - 5. Let o be l(-2). Suppose -o*z + 4 = -38. What is the least common multiple of z and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010621668 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a672a (base 12) to base 16\nAnswer: 35692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*k*y**3 + 94*k*y**2 + 795*k - 1157*y**3 + 31255*y**2 wrt k?\nAnswer: 83*y**3 + 94*y**2 + 795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(90\/50))\/(113\/1695)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3851 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 6*o**2 + 8 + 0*o**2 - 4*o**2 + 5*o**2 + (-o + 3 - 3)*(297 - 297 + 178*o).\nAnswer: -183*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 > 616\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000132570255 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((3 - 1) + (2 + 5 - 12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 3460*n + 6940 = 0.\nAnswer: -2, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0629*-86.7\nAnswer: -5.45343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25548193 + 2?\nAnswer: 25548195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) 5\/4 (c) 0 (d) -1 (e) 3\/5 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99009 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895191 is divided by 138.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -18\/5*i**5 + 0 + 68\/5*i**4 + 8\/5*i - 74\/5*i**3 + 16\/5*i**2 = 0.\nAnswer: -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 4, 8, 5, -72, 3 in decreasing order.\nAnswer: 8, 5, 4, 3, -28, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-2\/55))**(1\/3) assuming h is positive.\nAnswer: h**(4\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.572915 weeks?\nAnswer: 1556098992000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o = -172*o - 185*o + 5811 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256907651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 728 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**5 + 0*l**5 + 20*l**5)*((3 - 4 + 0)*(1 - 5 + 1) + 1 - 5 + 2).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*j**3 - 11226*g*j**2 - 69*g*j + g + 2*j**3 + 49*j wrt j?\nAnswer: -6*g*j - 22452*g + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260312 = -1429*c - 2604*c - 973*c for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 25*d - 13. Give z(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:31 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 750828, 1501622, 2252416, 3003210?\nAnswer: 3754004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/343 or 48815?\nAnswer: 48815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/8 of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 5. Let w be q(6). Let p be 2\/(-1*(w - -3)). Is 2\/7 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 2002243423?\nAnswer: -2002243433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 3*z + 41*z**2 - 20*z**2 - 47*z wrt z.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (728*k**3 - 1300*k**3 + 645*k**3)*(-13*k - 11*k + 11*k + 2) in the form w*k**4 + t + h*k + n*k**2 + y*k**3 and give w.\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*-5 + (sqrt(170) - (-5*(-1*sqrt(170) - sqrt(170)) - sqrt(170)) - sqrt(170)))\/(-1*sqrt(810)*-2 + sqrt(810)).\nAnswer: -14*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h**3 - 12*h**2 - 11. Suppose 0 = -3*n - 3*j - 24, 38 = -4*n - 5*j + 3. Let k(b) = -7*b**3 + 8*b**2 + 7. Determine n*w(l) - 8*k(l).\nAnswer: l**3 - 4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7102375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -70\/20859647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 4*a + 19*a - 18*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -49078, -14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c - 99. Let q be p(14). Solve -f - 12 = -q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 6, r: 5, f: 2, x: 5}. What is prob of picking 2 r and 1 n?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35186\/111 + -317. Let j = b - -5777\/555. Calculate the common denominator of j and -16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i**2 - i**2 + 0*i**2)*(-i + 4*i - 2*i) - 1 - 2*i**3 + 1 - 7*i + 12*i**3 + 7*i)*(i**2 + 1 - 1) + 0*i**5 - i**5 - i**5.\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 5 + sqrt(243)*-1)**2*4 + -2 - ((-1 + (-2*sqrt(243))**2 - (3 + 0 + sqrt(243))**2) + 3).\nAnswer: -624 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2645 (base 7) in base 8?\nAnswer: -1765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/9))\/u**(-7\/6)*(u\/(u*u**(1\/23)))**(-18))**(-24\/11) assuming u is positive.\nAnswer: u**(-4700\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37637 and 488?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 8*b + 3. Let z be d(-7). Let y be (-2 - z - 2) + -3 - -6. Suppose 0 = -2*f + y*f - 6*f. Solve -n - 4*n - 25 = f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25043, -25051, -25057, -25061, -25063?\n\"Answer: p**2 - 11*p - 25033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 33*v**2 + 17*v + 19. Let r = -42 + 58. Is c(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d + 4 = 41*d. Let s be d\/17 - (-5082)\/714. Solve -s*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1628.3 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.854 - 23.854. Sort t, 64, 4, 13 in decreasing order.\nAnswer: 64, 13, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*t - 24 = 0, -6*t + 3 = n - 2*t. Let q be 3\/(-3) + 1 - -45. Let r = q + -26. Calculate the remainder when r is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = -i, 0 = -i - 4*i + 10. Let w(f) be the first derivative of f**3\/3 - 266. Let u(y) = y. What is s*w(b) + 2*u(b)?\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-2 + 2)*1. Let k be 6\/3 + (2 - -1). Suppose c*z + 4*z = -o + 11, 3*o = 2*z + k. Solve 0 = -p - o*a + 6, 0*a + 2*a + 7 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s**2 + s - 2. Let i be p(3). Suppose -5*h - i + 133 = 0. Solve h*v = 6*v + 3*g - 12, 0 = v - 2*g - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33562 - 67145 + t**2 - 15*t**3 - 5*t**3 + 33583.\nAnswer: -20*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/17388 and 43\/7084.\nAnswer: 191268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 11*q - 33. Determine j(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3379210 and 8.\nAnswer: -27033680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (622 - 622 - 42*u)*(14 + 20 - 17)*(u - 6*u - 8*u).\nAnswer: 9282*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 21696596?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 8*n - 22. What is the hundreds digit of h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212112 + -112?\nAnswer: -220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/6411 + -50578\/14959. Let h = -314\/13 - -9959\/429. What is the common denominator of h and r?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -565*l**4\/24 - 42*l**2 - 19*l. Let d(q) = 3*q. What is b(d(p))?\nAnswer: -1695*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2.2. Let x = 0.075 + 1.925. Is x <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 6. Suppose 0 = -k - q - 7, -3*k + 2*q = k + 16. Let w(z) = -2*z. Let o(l) = -2*l. Let g(t) = k*o(t) + p*w(t). Let y(i) = i. Give g(y(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*o*z**3 + 4*o*z**2 + 4*o*z - 123*o + 8*z**5 + 3011*z**4 - 991*z**2 - 2 wrt z?\nAnswer: -1020*o + 480*z**2 + 72264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -2, 143 in decreasing order.\nAnswer: 143, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.9141 + -11.64172. Let j = -0.291 - -2.561. Let l = u - j. Round l to four decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1146656 - 53*p**2 + 1146445 - 2293101.\nAnswer: -53*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -8 - 46. What is the second biggest value in -2, 1\/5, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139283343 is divided by 657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9257953 litres in millilitres?\nAnswer: 925.7953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-534)\/3 - (0 + 0). Let m = 249 + d. Suppose 42 = 2*h + 4*g - 2*g, 0 = 3*h - 5*g - m. Calculate the greatest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 617414123 and 0.5.\nAnswer: 308707061.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8293.12326 to one dp.\nAnswer: -8293.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 at least 41\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -25053*j + 776647. What is h(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-276)\/(-322) - (-898188)\/28.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5, 1, 0, -61, 6 in descending order.\nAnswer: 6, 5, 1, 0, -45, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17621456, -17621455, -17621454, -17621453, -17621452?\nAnswer: -17621451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -6*p + 3*a - 13, 4*p - 3*a = -8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3494*y**2 + 59667*y + 336. Give i(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12 - -2)*(-1)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77469 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 5*m**2 - 4*m + 10. Let q be x(-6). Let v(k) = -8*k - 2. Calculate v(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxdxdxxd. Give prob of picking 3 x.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 11 + (412 + -375 - 93)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57394, 114317, 171240?\n\"Answer: 56923*h + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149570, 149562, 149546, 149522, 149490, 149450, 149402?\n\"Answer: -4*r**2 + 4*r + 149570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2355)\/1150)\/((-648)\/30) and 61\/20.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 479641540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 8:20 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 - 4*i**5 - 3*i**5 + (12 - 2 - 1)*(-4*i**3 - i**5 + 4*i**3) + 3*i**2 - i**5 - 3*i**2.\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124777009*z**5 + 2*z**2 + 287*z - 7910.\nAnswer: -7486620540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -m + 14, 7 = -l + m + 3. Which is the nearest to l? (a) 2\/7 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 550*c**2. Let q(f) = -f**2 + 5*f**2 - 5*f**2 - 25*f + 25*f. Give q(m(d)).\nAnswer: -302500*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v**2 + 1)*(-76*v - 36*v - 177721 + 21*v**2 + 177721).\nAnswer: -42*v**4 + 224*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 17*f + 4*f**2 + 5*f**2 - 11*f**2 - 5 + 11*f**3 to p + o*f + k*f**3 + t*f**2 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 10\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 2*i**2 + 0 + 0*i + 5\/24*i**4 + 0*i**3 - 1\/12*i**5. Factor h(v).\nAnswer: -5*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 7*g - 7. Let p be q(-6). Let a = 4 - p. Suppose -4*f - 3*m = -99, a*f - 115 = -0*m - 2*m. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 2?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -5. Which is the second biggest value? (a) 0.2 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-5) + 112\/30)*-24. Let o = u - -82. Suppose 9 + 9 = -2*b - 4*j, -2*b + o*j = 0. What is the smallest value in -0.02, -1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265 * -3\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 490 + 459. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37423 = 37416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1458, 5826, 13102, 23286, 36378, 52378?\nAnswer: 71286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w - 1. Let g(j) = -27*j**4 + 5*j**2 + 5*j - 59. Let l(u) = g(u) - 5*h(u). What is the derivative of l(c) wrt c?\nAnswer: -108*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**5\/4 + 363*k**4\/4 - 333*k**3 + 363*k**2 - 60*k = 0. Calculate k.\nAnswer: 0, 1\/5, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.103 - -4.897. Which is the nearest to -0.1? (a) k (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 18*i - 2*i**3 + 28*i - 9*i.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, -0.3, 2, 3\/149.\nAnswer: -0.3, -0.1, 3\/149, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d**2 + d**2 - 9*d + 0*d**2 + 2. What is the units digit of p(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/4*8\/(-6). Suppose -w + j = 1. What is the derivative of -w*g**2 + 2*g**2 - 18*g**3 - 7 - 11 wrt g?\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*t - 23*t**2 + 47*t + 24*t**2 + (-t**2 - 2 + 2)*(0 + 0 - 2) + 0*t**2 - 6*t**2 + 5*t**2.\nAnswer: 2*t**2 + 79*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 22*l - 4*l. Factor 9*j + l*j - 3*j + 12 - 2*j**2.\nAnswer: -2*(j - 6)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -39*a**2. Let q(s) = 204*s. What is q(x(k))?\nAnswer: -7956*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, x: 4, s: 5}. Give prob of sequence ss.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 5, -36, -4, 1065 in descending order.\nAnswer: 1065, 20, 5, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28604106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 9*t + 5. Let h(f) = -2*f**2 - 199*f + 162. Let a(o) = 29*o - 23. Let n(c) = -15*a(c) - 2*h(c). Give -9*j(z) + 2*n(z).\nAnswer: -z**2 + 7*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -26*a**4\/3 + 109*a**3\/3 - 50*a**2 + 77*a\/3 - 10\/3 = 0?\nAnswer: 5\/26, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43961 by 9.\nAnswer: 43961\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-40)\/(-12) - 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8183696.\nAnswer: 2, 97, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 11*z + 5. Let u be c(-4). Suppose -26*g - 854 = -u*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.04, 4\/3, -0.61 in descending order.\nAnswer: 4, 4\/3, -0.04, -0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-31)\/o*o**(-2\/27)\/o*((o*o**(-11\/2)*o)\/o)\/((o*o\/((((o**19\/o)\/o)\/o)\/o*o))\/o) assuming o is positive.\nAnswer: o**(-1219\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9008, -18013, -27030, -36065, -45124, -54213, -63338, -72505?\n\"Answer: -m**3 - 8998*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-135)\/(-300))\/((-2)\/(-16)). Suppose -2\/5*l**2 + 12\/5*l - i = 0. Calculate l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/245)\/(46\/(-1725)*-90)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o - 13. Let a be d(5). Let u be ((-162)\/a)\/((-6)\/(-16)). Let q be 2 - ((-11)\/(-9) + 8\/u). Which is smaller: -6\/25 or q?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 - 3*c - 10. Let q(y) = 16*y**2 - 5*y - 20. Let d(p) = 5*b(p) - 3*q(p). Find the first derivative of d(t) wrt t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(sqrt(20) + sqrt(40)\/sqrt(2)) + (-1*sqrt(80))\/sqrt(4))\/(((sqrt(60)*-2)\/sqrt(3))\/sqrt(2)).\nAnswer: 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + 4*i**4 - 2*i**4 + (-i**4 + i**4 + i**4)*(-4 - 9 + 1) + (-i**4 - i**4 + 4*i**4)*(2 - 3 + 2) - 3*i**4 + 3*i**4 + i**4.\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 36*u + 37. Determine h(-34).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339 - 122 - 63)*(-3*a**4 + 3*a**4 - 2*a**4).\nAnswer: -308*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/15 - 2*t**3\/15 + 12*t**2\/5 + 104*t\/15 + 16\/3 = 0. What is t?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*m**2*q**2 - 137*m*q**2 wrt m?\nAnswer: 680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 + 2*p**3 - 3*p**2 + 0*p**4 + 4069*p - 4064*p as a*p**4 + i*p + c*p**2 + j*p**3 + q and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + f**4 - 4 - 3*f**2 + 0*f**3 - 8*f**2 + 9*f**2 in the form m*f**3 + q*f**2 + h + s*f + c*f**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 120, 143, 166?\n\"Answer: 23*j + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5 = 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19*v**2 - 2*v - 3. Let b be x(-1). Let l = b - -105. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 3, -112, 4, -6 in descending order.\nAnswer: 4, 3, -2, -5, -6, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 12*q**3 + 9*q**2 + 40. Let p(h) = -10 - 90833*h - 3*h**3 + 90833*h - 2*h**2. Calculate -9*p(x) - 2*v(x).\nAnswer: 3*x**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**8\/24 - 2*b**7\/105 + 7*b**6\/60 + b**5\/15 - 17*b**2. Determine i, given that m(i) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/(21\/9). Let v(k) = -k**2 + 13*k - 4. Let o be v(13). Which is the closest to w? (a) 3 (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 277\/6 - 2\/(-6). Let j = 833\/18 - q. Is 3 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -837?\nAnswer: 2\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + 53.09. Let x = -20 + d. Let b = x + -34. Put b, 0.1, -0.13 in descending order.\nAnswer: 0.1, -0.13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 3*u**2 + 9*u**2. Let d(i) be the first derivative of 0*i - 8 - 1\/3*i**3 + 0*i**2. Calculate l(d(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -192, -296, -400, -504?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 - 1964*d**4 + 62184*d**3 - 174728*d**2 + 170780*d - 56268 = 0. What is d?\nAnswer: -521, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 18 (b) 0.1 (c) 1451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 7832.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.7 (c) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca7c (base 15) to base 2.\nAnswer: -1010011101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 42. Let o be 96\/f + 9\/21. Suppose -4*g + 19 = -o. Sort 2, 3, g in decreasing order.\nAnswer: g, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.3 - -36. Let j = q - -12. Let d = 1.011 + -6.011. Which is the second biggest value? (a) d (b) 3\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.56? (a) 2\/11 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.043527 - 4876373.\nAnswer: -4876372.956473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 13*l - 35. Let j be m(-5). Solve -3*u + 4 = -j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345164056 divided by -86291014?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 + -11000001110110?\nAnswer: -11000001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*110\/(-13200)*(3\/1)\/(3\/220).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.0033755 to two dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 3*w**5 - 2*w**5 + (-20*w + 27 - 27 + (3*w - 4*w + 2*w)*(5 - 4 + 0))*(5*w**3 - 5*w**3 - 3*w**4).\nAnswer: 54*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27153 + 27161. Calculate the least common multiple of h and (0 - 1)\/((-4)\/96).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (-53 + 111 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 - 3*b**2 - 2*b**2. Let n(z) = -2*z**2 - 5*z - 5. Let v(l) = -l**2 - 2*l - 2. Let t(i) = -4*n(i) + 10*v(i). Determine c(t(s)).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 37. Let n(f) = -2*f + 73. Let w(d) = -5*h(d) - 2*n(d). Suppose q - 17 = 6. Calculate the remainder when 31 is divided by w(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 20*y**2 - 10*y - 22*y**2.\nAnswer: -2*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 15) to base 4.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7379282 and 43312?\nAnswer: 59034256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1786055.\nAnswer: 5, 357211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 3*r - 3. Let u be p(-2). Let s(o) = -8*o. Determine s(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -3*y**6\/10 - 2*y**4\/3 - 8*y. What is the third derivative of q(a) wrt a?\nAnswer: -216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -51. Let y be (-8)\/(-36) + (-19)\/45. Let u be (-3)\/(-1) + 0 + -3. Which is the third smallest value? (a) y (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.009 - -0.159. Let i be 1*-2 + (14 - (17 - 9)). Which is the nearest to -1? (a) -2\/3 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 14*q**2 + 11*q + 6. Let x be (-1)\/2*-5*13\/(65\/12). Give b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137948040 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 32*g**2 + 39*g + 63. Is x(20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4478 + -4590 + 44 + 1.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -65145 (base 10) in base 9?\nAnswer: -108323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/18223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 5*k + 11. Let p(a) = -a**2 + 6*a + 10. Let i(v) = -5*p(v) + 6*x(v). Let j be i(0). Solve -j*r - 23 = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffawfjfwofwz. What is prob of picking 1 f, 1 a, and 1 o?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1 + -2 + 4). Let s be (f - 1)\/(54\/24). Let n = 31.9 + -32.1. Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**3 - 5*a**2 - 6*a**3 - 2 + 1 in the form c*a + z*a**3 + s*a**2 + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2686345 plus 0.5?\nAnswer: -2686344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4))**16)**(1\/10) assuming s is positive.\nAnswer: s**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -956 + 130699.51?\nAnswer: 129743.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.2. Let i = 250 + -1746\/7. What is the closest to 1 in i, -3, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from {b: 3, r: 10, x: 2, l: 3}?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 + h + 2. Suppose t + 2 = f + 8, 0 = 2*f + 8. Let y be z(t). What is the greatest common factor of 64 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 113 + 41 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.449 - -2.249. Let h = 0.524 - 0.024. What is the nearest to 0 in h, -1\/6, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -50. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1582, -6068, -13634, -24280, -38006, -54812, -74698?\nAnswer: -97664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171b80 (base 12) to base 5.\nAnswer: 100204032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -1029.3 (c) -4 (d) -1\/4 (e) -0.3 (f) -113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**3 - 1199*h**2 + 37*h - 27. Let f(m) = -3*m**3 + 600*m**2 - 17*m + 14. Let c(o) = -2*d(o) - 5*f(o). What is the second derivative of c(a) wrt a?\nAnswer: 6*a - 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -1642320461?\nAnswer: -1642320462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l - 2. Suppose -d + 2 - 8 = 0. Let a be y(d). Suppose q + 3 = a*q. Solve o - 4 = -3*k, -k - 2 + q = -2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, 2, -2 in increasing order.\nAnswer: -17, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14 = 4*w, -2*w + 15 = -4*v - 3. Solve -4*k - 26 + 1 = 5*g, -30 = 5*k + w*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/40 + 16*b**5\/5 - 525*b**4\/8 + 8*b**2 + 4*b + 5. Find the second derivative of p(m) wrt m.\nAnswer: 18*m + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107984850 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -12. Let o(w) = w**3 - 3*w**2 - 5*w + 4. Let t be o(s). Suppose 3*z - 448 - 185 = t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23085 - 1177376\/51. Let o = 8\/11 + -142\/165. What is the common denominator of b and o?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1810\/197901 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**4*q)\/((q\/(q*q\/q**0))\/q)*q*q**7\/q*q**0 assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1982.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000492012115 rounded to seven decimal places?\nAnswer: 0.000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16420 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 30. Let d(i) = -8*i + 90. Let n(w) = -8*c(w) + 3*d(w). Let f be n(3). Solve -2*h + f*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1582*f + 6*f**2 - 1582*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 5*r**2 - r - 2. Let z be j(5). Suppose -4*k + 2*m + 53 = -3*k, 2*m - 69 = -k. What is the remainder when k is divided by (-2)\/7 + (-149)\/z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + -22 - (-24 - (-5 + (-1 - 12)))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + 0. Suppose -2*j = 2*v + s, 22 = -v + j + 2. Let w = v + 31. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -490 - -689564?\nAnswer: 689074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 497952 and 6473376?\nAnswer: 6473376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.184975 and -29.\nAnswer: -29.184975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let d be w(5). Is 5 a factor of (-28)\/(-5) - (-9)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + -3.8. Let z = -3.6 + 0.6. Let m = w - z. Put -2\/3, 3, m in descending order.\nAnswer: 3, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from xxixrxxrixixrxixxx?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/5, 50, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -87, -116, -141, -162?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2968\/28 - ((-2)\/11 + 2133\/297 + -2)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 474 or 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 3 (c) -0.5 (d) 246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 4*r**2 - 6*r - 10. Let a be g(-4). Let w be (-5)\/(-10)*(a - 2). Find the first derivative of -6 + 6*n + w - 5 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240972 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.11 - -0.11. Suppose 0 = 4*o + 4*j, 5*o = -2*j - 2*j + 5. Suppose 0*y = -o*y - 10. Which is the nearest to 0? (a) 2\/19 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 9. Let b(k) = 6*k + 8. Let l(f) = 3*b(f) - 2*v(f). Let r(d) = 22*d + 13. Let u(t) = -13*l(t) + 6*r(t). Let s(a) = 93*a**2. Determine s(u(z)).\nAnswer: 372*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -1, 0 = 2*u - 2*s - 16 - 20. Calculate the remainder when 28 is divided by u - 0 - 2 - -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008 + 2750 = 24*v + 110*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 550*u**2 + 2*u + 1. Let o(d) = 2201*d**2 + 9*d + 6. Let h(n) = 9*b(n) - 2*o(n). What is the units digit of h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from appccacbbczcccpppb.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 - y - 1. Let h(x) = 15*x**2 + 3*x + 10. What is -2*g(u) - h(u)?\nAnswer: -9*u**2 - u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47395 + -0.070925.\nAnswer: -0.544875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 12 = -142*h + 128*h - 0*w, 3*h - 5*w + 8 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**3 - 46*z**3 + 24*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -15*w + 812. Let l be g(54). Let n(a) be the first derivative of 28\/5*a**5 + 0*a - 7 + a**l + 5*a**3 + 9*a**4. Find y such that n(y) = 0.\nAnswer: -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 7\/(-9) - (-12 + 10). What is the closest to 0 in 1\/3, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4995*k + 25*k**3 + 10*k**3 - 37*k**3.\nAnswer: -2*k**3 - 4995*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (524\/(-760) - (-2)\/4) + (-4811)\/85 + 57?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y - 1739. Let h be n(-88). What is the greatest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4))**(-50)\/(((r**12*r)\/r)\/(r\/(r**(1\/8)*r)*r)) assuming r is positive.\nAnswer: r**(-389\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 6142*a**3\/3 - 7479*a**2\/2 + 6991. Find the second derivative of x(g) wrt g.\nAnswer: 12284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*j = 20, 2*c - 27 + 3 = -4*j. Let v be -10*(15\/(-6) + c). Put 4, v, -5 in descending order.\nAnswer: v, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 1 - 9. Suppose -u*z - z + 310 = 0. Suppose 3*w - z = w. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrttw. Give prob of picking 1 r, 1 w, and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by -52?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -44 (b) 4.59 (c) 1 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12022 + -11?\nAnswer: -12033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -157, -14, 494 in increasing order.\nAnswer: -157, -14, -2, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = 47*z - 132. Suppose 5*g - 40 = 5*y, y + y - 9 = -3*g. Calculate the smallest common multiple of z and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113208 and 23532?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64, -89, -116, -145, -176, -209, -244?\n\"Answer: -u**2 - 22*u - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94 and 15416?\nAnswer: 15416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12777136?\nAnswer: 2, 37, 113, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 269600 = -28*r. Round r to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5653 is divided by 97.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r - 4*r)*(11*r**2 - 30*r**2 - 22*r**2).\nAnswer: 123*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 22. Suppose 0 = 5*t - 3*a - 15, -4*t - a + 19 = -2*a. What is the lowest common multiple of (-13 + 10)\/(t\/(-32)) and z(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-36)\/16) + (1 - 3). Solve -1 = 5*f - 4*m, -i*f + 4*m - 13 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k**3 - 54*k**2 - 9*k + 12. Let j(g) = -42*g**3 + 161*g**2 + 26*g - 34. Give 11*d(y) + 4*j(y).\nAnswer: -3*y**3 + 50*y**2 + 5*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 12. Let m be (12 - 2) + g\/(-5). What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**3 + 2*i**2 + 15 - 16 + 4*i + 2*i**2. Let n(m) = -14*m**3 + 11*m**2 + 11*m - 2. Calculate 11*j(v) - 4*n(v).\nAnswer: v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-85))\/((2\/160*-2)\/((-188)\/1504))?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 25 = 14*j. What is the third derivative of -10*l**4 - l**2 + 5*l**4 + j*l**6 - 17*l**6 wrt l?\nAnswer: -1560*l**3 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25\/6, 0.12, -2\/13, 6\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*d - 0*a + 3072, 3086 = 4*d + 3*a. What is the remainder when d is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -8. Let s = -0.17 + 0.57. Let b = 9 - 8. Put b, s, d in descending order.\nAnswer: b, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 23 - -11) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -504.5 (b) -1 (c) -4.958\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 228*m + 234. Let l be z(-5). Let x = l + 904. Let i = 1 - -1. Put 5, x, i in descending order.\nAnswer: 5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5209.078kg to tonnes.\nAnswer: 5.209078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - w = -2*w - 3, 4*w = -3*x - 12. Let p(l) = -l**3 - 8*l**2 + 7*l - 16. Let z be p(-9). Put 3, x, 8, z in increasing order.\nAnswer: x, z, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 789 and 312040295?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f*z**4 - 96*f*z**3 - 30*f*z**2 + 6*f*z + 2*f - 2*z**4 wrt z.\nAnswer: 96*f*z - 576*f - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = 0, 4*o - 3*o + 1 = 2*v. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 356*j - 354*j - 14 + 118 in the form v + x*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 1, f: 1}. What is prob of sequence fpm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -16. Let f = q + 6.7. Let t = 36 + -37. Which is the second biggest value? (a) f (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/2 - 3000*c**2 + 2857239*c\/2 + 72210501 = 0. Calculate c.\nAnswer: -46, 1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 7*q + 16. Suppose -3 = 3*d + 15. Let v be x(d). Suppose y - 5 = -4, 2*b + 4*y = v. Solve -b*p + 3*h + 9 = 0, -p - 3*h + 0*h = -11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1 + sqrt(68) - sqrt(68))*2*4 + 5.\nAnswer: 5 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -326010?\nAnswer: 325ccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*q = 162*q. Let o(a) = -a - 1. Let y(m) = 5*m + 36. Let t(x) = -3*x - 18. Let r(i) = -5*t(i) - 2*y(i). Let g(c) = 6*o(c) + r(c). Give g(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6 - (-256)\/42)\/((-80)\/(-1275)) and -107\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**6\/120 - l**5\/6 - l**4\/12 - l**3\/3 - 2*l**2. Let z be v(-10). Suppose -36 = -3*h + z. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/(-1))*-1. Let m(n) be the first derivative of -5*n**3 + 1 + 0*n + 4*n**3 - n + u. Find the first derivative of m(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.3 and 2.\nAnswer: -30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7841761 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(18) - (sqrt(144) - sqrt(144)*-1)\/sqrt(8)))\/(sqrt(6) + (-2*sqrt(24)\/sqrt(4) - sqrt(6)) + sqrt(24)\/(1*sqrt(4))).\nAnswer: 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {d: 2, m: 9, b: 7}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 74, 2 in increasing order.\nAnswer: -3, 1, 2, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -199, -395, -591, -787, -983?\n\"Answer: -196*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 7. Let f = -45 - -44. Let w be l(f). Solve -4*a + 24 = -a + 5*v, 3*v - w = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p + 3. Calculate l(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1 - (-7 - -9)) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.007 - -11.007. Let g = 20 + -15. Sort p, g, -0.3 in ascending order.\nAnswer: -0.3, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5866 - -32?\nAnswer: 6008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 12 + 48 = 0. Let l be (-5 - (-6 + 4))\/(-1). Solve 2*c = l*w - 9, 4*c - u*w + 14 = 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - -32. Let q be 1\/(-3 + y\/20). Is 4878\/30 + (-2)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 16*d - 35. Let x(y) be the third derivative of 3*y**2 + 1\/630*y**d + 0*y**4 + 0*y - 1\/90*y**5 + 1\/18*y**3 + 0*y**6 + 0. Factor x(v).\nAnswer: (v - 1)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 4, -x = 4*a - 8*a + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/16323826 and 41.\nAnswer: 16323826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11720000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7775 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 21*w + 1. Determine l(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*q - 52970163*f**2 + 15*f*q + 5249269*q wrt f?\nAnswer: 2*q - 105940326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 337 (base 9) to base 2\nAnswer: 100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -880, -826, -772, -718?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/112440 and 91\/187400.\nAnswer: 562200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3711, 7357, 11003, 14649, 18295, 21941?\nAnswer: 25587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13182447 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 55. Let y be ((-21)\/27)\/(1 + (-25)\/15). Which is the smallest value? (a) 4 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/((-1)\/4*2). Calculate the common denominator of 53\/22 and 0 - (740\/x)\/5.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 429*t**2 + 18*t + 433*t**2 + 22*t - 54*t.\nAnswer: 4*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*((-20)\/(-12) - 2). Let m(x) = -6112*x**3 - x**2 + 6*x + 3. Let z be m(a). Round z to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 66*y**2 + 149*y + 288. Calculate k(30).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 2*x - 2044. What are the prime factors of x?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-14))\/(r*r\/(r*r*r*r**10)))**(-22) assuming r is positive.\nAnswer: r**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68809556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, g: 3}. What is prob of sequence xxgx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -519837572*p**3 + 96*p - 196505?\nAnswer: -3119025432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s + 3. Suppose -2*j = -72*j - 137 - 423. What is b(j)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:55 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g - 15, 5*r = -3*g - 20. Let o = -8 + r. What are the prime factors of (-4)\/((-3)\/o*-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-3 + sqrt(119)\/sqrt(175) + -4)**2.\nAnswer: 1312*sqrt(17)\/5 + 457632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*n - l = 193, 0 = -3*l - 3. Suppose 18*v - n = 14*v. Calculate the lowest common multiple of 10 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2077855836 to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = d, -d - 35 = -3*q. Let l(o) = 9*o**3 - o**2 - o + 1. Calculate the smallest common multiple of q and l(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5197 - 10370 + 4*l + 5173.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 5 + (-6 - 9 + 6)*(0 + 2 - 3))*(-3*x**2 + 3*x**2 + 2*x**2) to the form g*x**2 + d*x + h and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 39*m**2 + 29*m - 123. Let a(z) = 15*z - 85. Let h be a(3). What is the tens digit of y(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w + 3, -5*w - 9 = -j. Suppose j = 2*s - 32. Let k = 1 - -1. Solve -4*c - s = k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 18. What is the remainder when 7 + (-16)\/(-4) + 4 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191055*u**3 + 237*u + 127 wrt u?\nAnswer: -1146330*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*p. Suppose p*x + 9 = 5*x. What is the common denominator of (-1)\/(x\/(-5) + 0) and -79\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84457, -84642, -84953, -85390?\n\"Answer: -63*s**2 + 4*s - 84398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*b = -26, -2 = -b - 4. Let j(i) = -i**3 + 9*i**2 + 8. Let l be j(y). What is the greatest common divisor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(304) + sqrt(304) + -1)**2 + 2).\nAnswer: -64*sqrt(19) + 4876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 - 3*s**2 - 2*s - 19. Let n be w(-6). Suppose 7*p + n = 4451. Suppose -36*i = -39*i + p. What is the remainder when i is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/259668 and -47\/42.\nAnswer: 1817676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 38102, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b346b7 (base 12) to base 7.\nAnswer: 32601322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 6. Let u be a(7). What is the common denominator of 121\/10 and (-876)\/48*u\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/(-273) + (-232)\/13. Let b be (-76)\/f + 2\/(-9). Suppose -b*n + 177 = 9. Calculate the greatest common factor of 105 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 50, -0.1, 1166?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, o: 6, h: 1}. What is prob of sequence doh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from {p: 2, q: 3, u: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iffi when four letters picked without replacement from iiiiiiiiiiiiiiiffi?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - -90. Which is greater: v or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Suppose -2*l - g*l = -145. Let o = l - 16. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 4. Let l be k(-4). Determine q, given that 2\/5*q + 2\/5*q**5 + l*q**4 - 4\/5*q**3 + 0*q**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*c - 116*c - 53*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(3\/((-9)\/6)). Let h = -11 + 21\/2. What is the closest to i in -4, h, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*q**2 + 6 - 9\/4*q.\nAnswer: -3*(q - 2)*(q + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:46 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - ((-832)\/48 - -20). Put 2, 1269, o in increasing order.\nAnswer: o, 2, 1269","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in -0.1, -0.4, 4.1, -5, 3.44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n + 2. Let d be y(-3). Let r be -84*(-75)\/90*8\/10. What is the greatest common factor of r and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:43 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.77.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 1. Let p(f) = 2 + 0 + 184*f - 181*f. Let y(c) = -p(c) + t(c). Let u(r) = 2*r**2 + 4*r + 4. Determine 3*u(s) + 4*y(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3965259664 to the nearest integer?\nAnswer: 62970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56944869 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 17\/2*q**2 + 5\/24*q**4 - 12*q + 0 + 0*q**3. Let x(g) be the first derivative of n(g). Let u(k) = -6*k**2. Give x(u(z)).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8346 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 924350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 5, -54, -185, -412, -759, -1250, -1909?\n\"Answer: -4*b**3 + 17*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/11)*v**(-3))\/(v**7\/(v\/(v*v*v**(-1)*v))) assuming v is positive.\nAnswer: v**(-117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8581445 or -34325783\/4?\nAnswer: -8581445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.72 - -3.28. Let m = -0.775 + 0.275. Which is the smallest value? (a) m (b) 3 (c) -10\/9 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 + 415325*a**3 - 15*a**2 - 1245965*a + 830650 = 0.\nAnswer: -83065, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 1132401144?\nAnswer: 1132401232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -49*v + 108. What is the smallest common multiple of -1*1\/(4\/(-20)) and n(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 98\/(-5) - (-16)\/(-40). Let z(v) = -2*v + 2. What is the remainder when (312\/20)\/((-8)\/f) is divided by z(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-62)\/217)\/((-1)\/7). Let i(b) be the third derivative of 2*b**y - 5\/6*b**3 + 1\/24*b**4 + 0 + 0*b. Calculate i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 65, 41, 17, -7, -31?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/(-12) + (-3)\/(-12) + (-574 - -577).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)**(-38))**(30\/7)*n**(-2)*n**(-4)*n\/(n**4*n)*n*n**2 assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/15450 and -1\/84975.\nAnswer: 169950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11942 and 4.\nAnswer: -47768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.1. Let s = -3730\/7 + 3732\/7. Sort s, 6, 2, a.\nAnswer: a, s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 445*n**3 + 551*n**3 + 0.\nAnswer: 996*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*k = -97*k + 288*k + 51040 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 3185.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k - 5964 = -68*k. Suppose 5*x - k = -513. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -137 + -3?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 10:37 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39768 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16016 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 24. Let w be t(-5). Suppose 0 = -10*v + w*v + 12. Solve 0*r + v*r + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1837*u**2 + 1855*u**2 - 3699*u**2. Let n(d) be the second derivative of d**3\/6 - d. Determine p(n(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.2153 (b) -2 (c) 2\/43 (d) 28.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1468 - 1472. Put 5, -3, d, 33 in decreasing order.\nAnswer: 33, 5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5396 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.005 + -12.005. Let a = r + 11.9999945. What is a rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15\/((z\/(z\/(z*z*z**(3\/17)*z*z)))\/z))**(-7) assuming z is positive.\nAnswer: z**(-1407\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 + 3*k + 308 + 299 - 922.\nAnswer: 3*k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 93402.94 seconds in milliseconds?\nAnswer: 93402940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322*n*w**2 - 626*n*w wrt w?\nAnswer: -644*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 5) to base 4.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 22059.\nAnswer: -49\/22059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 0. Let x = -83161\/5 - -16691. Let m = x - 59. Is m > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1008 and 47\/16023.\nAnswer: 769104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygyhyhyhhghyy. What is prob of sequence gyg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 4*u**5 - 3*u**5 + (u**2 - 2*u**2 + 0*u**2)*(-3 + 3 - 7*u**3).\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357.782l in millilitres?\nAnswer: 1357782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 - 14.454417.\nAnswer: -60.454417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 - 7*g + 25. Let z = -59 + 50. Let s(w) = -6*w**3 - w**2 + w + 1. Calculate the lowest common multiple of d(z) and s(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 + y - 1. Let u(b) = -5*b**3 + 2*b**2 + 3*b + 8. Let h(t) = 6*f(t) + u(t). Let n be h(-7). Let c = n + 25. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6 = -w, -3*q = 5*w + 121 - 93 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114 - -490601?\nAnswer: 490487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7367468 + 117831011\/16. Let o = h - -3027. What is the common denominator of o and (-2)\/(-5) + 53\/(-5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1025998, 1025966, 1025912, 1025836, 1025738?\nAnswer: 1025618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 30*y + 30 = 3*w, 3*y = -w + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from xmxxttxxxuxux?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-2\/105)*(g**(2\/3))**(-4\/23))\/(g**(-6)*((g\/(g\/(g**(-5\/6)\/g)))\/g)\/g*g\/(g\/(g\/g**(-4\/7)))*g*g*g**(3\/5)*g) assuming g is positive.\nAnswer: g**(3163\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c**(-8)))*c**12)\/(c*c\/(c**(3\/4)*c)*(c\/c**(-13))\/c) assuming c is positive.\nAnswer: c**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 19*f. Let k(p) = -161*p**2 - 15*p - 1. Determine o(k(d)).\nAnswer: -3059*d**2 - 285*d - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = 0, -2*d = -3*d + 2*x + 59. Suppose -m + 0*n = -5*n - 129, -m - 5*n + 99 = 0. Let r = m - d. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 53. Which is the third smallest value? (a) v (b) -1 (c) 18 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 4*k - 78, 97*q + 85 = 5*k + 92*q for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose 9 = h*t + 1. Solve t*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 121*h**2 - 14*h - 29993. What is c(-119)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171)*1 + sqrt(171) + sqrt(171)*3*-2)\/((sqrt(144) - (sqrt(144) - sqrt(144)*2)*1)*-3).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 5*z**2 + 4*z - 3. Let p be (-3)\/(((-72)\/20)\/6). Let g be d(p). Suppose 5*r + g = 4*m, 2*r = -m - r. Solve 4*j + m = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 10 - y**2 + 3*y**2 + 12 - 4*y in the form t*y + j + c*y**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 17, l: 1}. What is prob of sequence el?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d - 1. Let p be u(-2). Let v be (-152)\/(-12)*p\/(-2). Solve -4*s + 1 = -v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3556 and 43876?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567801 and 2015?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 29*c**2 - 26*c + 69. What is u(-28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 take away 1.27?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 3785*u**2 - 33700*u + 29920.\nAnswer: -5*(u - 748)*(u - 8)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -80\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from xnllfmn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15)\/(-2)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/12 and (-6)\/224*1*871\/39.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39560 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.243381 to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 2, c: 2, q: 1, s: 1}. What is prob of sequence gsg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 29*v + 32 - 16*v - 12*v. Let h be 2 + 0 + -1 + -1. What is the tens digit of j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a kilogram in grams?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875490 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1097\/2 - 531. Suppose 2*j = -3*j - 70. Find the common denominator of b and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 150, -3\/4, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 652, -558, 0 in ascending order.\nAnswer: -558, 0, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 15) to base 3\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 - 2.22. Sort -4, q, -2\/3 in decreasing order.\nAnswer: -2\/3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 3*w + 6*w + 15 + 27 - 15*w.\nAnswer: -12*w + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3736*m - 97894 = 37384 - 42018 + 41236 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 24 = -2*z, 6*z - 3*z = -9. Suppose 0 = 4*o - 2*p - p - 17, -o + 4*p = -1. Solve h*k - 2*k - 13 = o*r, 2*k - 2 = -2*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 738*n + 709*n + 492*n - 1241*n to h + s*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - 6*sqrt(24)\/sqrt(3)) + sqrt(18) + -1 + sqrt(18) + -1*sqrt(8).\nAnswer: -6*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-117)\/2 + 5)*-6 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 37. Calculate the remainder when 371 is divided by n(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*x + 144 = -403, -5*l + 660 = x. Let a = l + 47. What is the highest common divisor of 72 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011624 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348462 by -1434.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sszm when four letters picked without replacement from {z: 3, s: 3, m: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-5 + 6 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 6. Let w be c(6). Let h be (w + -8)\/(6\/(-3)). Let p be 3 - 0 - h\/(-2). Solve 3*t + t + 2 = -3*v, 5*t = p*v - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33872*i**5 - 29873*i**5 + 57453*i**5)*(4 - 1 - 2).\nAnswer: -6292*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -23 - (-8 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227761?\nAnswer: 421, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 97*l**2 + 4*l + 3. Let t = 8 + -9. List the prime factors of f(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 31 + 89. Let r be (15\/6)\/((-6)\/y). Calculate the highest common divisor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2*3*6.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 18. What are the prime factors of (-1)\/(3\/w*-3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -771*p - 1688*p + 251*p - 105984 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -27, -92, -213, -408, -695, -1092?\n\"Answer: -3*c**3 - c**2 - 3*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -2087*j**4\/12 + 636*j**2 - 4215*j. What is the derivative of l(r) wrt r?\nAnswer: -4174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g + 16. Let c be b(-8). Let y = 28 + c. Suppose 4*o = t + 5 + 10, 40 = y*t + 4*o. Solve t*f = f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1532, -1566, -1622, -1700, -1800?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-21)\/(-36))\/(-7)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 8. Let f = 3 - g. Let y = 51 + f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-8)))\/o**(-14\/3))**39 assuming o is positive.\nAnswer: o**455","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 667836904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(((n*n**(-2))\/n)\/n*n*n*n*n)))**(18\/7)*((n\/(n**0*n*n))\/n)**(-27)*(n**(-1\/3)\/((n\/(n*n**10\/n))\/n))**(-2\/23) assuming n is positive.\nAnswer: n**(28160\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjajjj. What is prob of sequence jjja?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 209\/110 + 2\/20. Suppose -2*a - 29 = 3*h - 7*a, -10 = -2*h - 4*a. Put 4, h, m in ascending order.\nAnswer: h, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 53.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aarg when four letters picked without replacement from {a: 7, g: 11, r: 2}?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -238454141.7 to the nearest 1000000.\nAnswer: -238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11496*0.2.\nAnswer: -0.022992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16*2\/(-2)*2 - 6. Let o = 0.13 + 0.87. What is the smallest value in -1\/3, o, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 263123423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + 0*x)*(-187*x**2 + 125*x**2 + 174*x**2 + 209*x**2).\nAnswer: 642*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 697667 divided by 43?\nAnswer: 697667\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 11 + 4 + 0 - 3 - 1 + (-1 + 2 + 1)*(2 - 2 + 2) - 3 + 2 + 3)*(-w + 4*w + 0*w).\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 2*x**2 + 403*x - 134*x - 142*x - 130*x - 3 as b*x**2 + i*x**3 + f*x**4 + s*x + w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:14 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 15*t**2 + 3*t - 456. Calculate w(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14158314 by -1.\nAnswer: -14158314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:54 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3115, 3105, 3087, 3061, 3027, 2985, 2935?\nAnswer: 2877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 528159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 875, -4, -7, 2, -6 in increasing order.\nAnswer: -7, -6, -4, 2, 875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28189 is divided by 28182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 5. Let c be -100*(3 + 5597)\/h. What is c rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**3\/3 + 2*x**2 - x + 2. Let j = -5255 - -5259. Determine v(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (1 - 1) - -80. What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12222 + 12859. Which is smaller: 639 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 19 = -7*y - 21, 8*m - m - 4*m + 28 = y for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/3 (b) 3 (c) 2 (d) -387 (e) 1168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 - 1. Let w(p) = 16*p**2 + p - 3. Calculate 7*m(t) - 2*w(t).\nAnswer: 3*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 + 25.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 71, 1002, 0.3, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (12 - -2) - 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 754671754 to the power of 1\/2, to the nearest integer?\nAnswer: 27471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7544889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4*s + 2*s)*(2*s**3 + 0*s**3 - s**3) + (3*s + s - 5*s)*(5*s**2 - 5*s**2 + 2*s**3).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(171))**2 + 3 - sqrt(171) - (sqrt(171) + -6*4*sqrt(171)))*5.\nAnswer: 330*sqrt(19) + 13695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s = 102*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95310609.\nAnswer: 3, 41, 61, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from smbmmseesshhb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 8. Let x(t) = -211*t - 4223. Let n be x(-20). Let m(s) = 1. Give n*m(l) + z(l).\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 + -91. Let s = -52 + u. Solve 5*h = 4*h - s*i - 14, 4*h + 5*i = -21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 12 = -3*z. Let s = -11 + 44. Calculate the greatest common divisor of s and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8869, -8604, -8343, -8086, -7833, -7584?\n\"Answer: -2*l**2 + 271*l - 9138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 513 and 8577.\nAnswer: 488889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9540)\/2915*(-8)\/30*(-155)\/31?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 divided by 101?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 4*p**2 + 2*p - 2. Let w be x(-2). Suppose -j - 2 = -2*b + 5, 4*j - w*b = -10. Let t = 149\/188 - 2\/47. What is the closest to j in -4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(72\/(-16))*2*(-45)\/(-230)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -617341 divided by -4.\nAnswer: 617341\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + -21 - -71) + -28\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 - 7*h**2 - 4 + 9*h - 3*h**3 + 7 - 3*h**2. Is g(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -0.3 (b) -12687 (c) -5 (d) 4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -21*s**5\/100 - 46*s**4\/5 - 1123*s**3\/10 - 459*s**2\/5 - 2*s + 4061. Suppose w(x) = 0. Calculate x.\nAnswer: -17, -9, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 11*b - 2. Let o = -17\/8 + b. Which is smaller: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 21 = 3*i. Let a(q) = -2*q. Let o(c) = -6*c - 12. Let x(h) = -2*a(h) + o(h). What is x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9020167583.\nAnswer: 7, 3079, 418511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1202.747777 * -0.5.\nAnswer: 601.3738885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 41. Let o(y) = y**2 + 17. Let n be o(0). Let g = n + -5. Calculate the remainder when t is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 24*t**2 - 29*t - 32. Let j be f(24). Does 11 divide (9\/(-6))\/(((-6)\/j)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) - (-31)\/(-21)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(192)*-2*5 - (3 + (-2 + 2*sqrt(3) + sqrt(3))*-6)**2).\nAnswer: -1197 + 780*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -116135.4032 to the nearest 100.\nAnswer: -116100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.2 - 21. Let m = -4.8 - -2.8. Put x, m, -2\/11 in decreasing order.\nAnswer: x, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5425)\/266 - -20 - 1\/38*4)\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6830771.7 + -62027\nAnswer: 6768744.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41, 326, 1093, 2582, 5033?\n\"Answer: 40*b**3 + b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*j - 111*j + 12 = o + 4, -12*j + 10*j + 42*o - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 6*g - 2. Let h be c(6). Let i be h\/(1 - 2 - 1). Let r be (-3)\/(-10) + (-1)\/(-5). Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nff when three letters picked without replacement from {q: 1, n: 1, f: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q - 193 - 1\/45*q**6 + 2\/45*q**3 - 2\/75*q**5 + 13\/30*q**4 - 4\/5*q**2. Determine r, given that g(r) = 0.\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108.11 + 112. Round g to one decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272174759.\nAnswer: 272174759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-6*(-5)\/(-135).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25077*g - 75237. Calculate n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/((s*s\/(s**(1\/2)\/s))\/s))\/s))**(-28\/5)*s**(-1\/9)\/s*s*s**(-1\/2))\/((s\/s**(-1))**(-41)\/((s*s\/s**(-1\/4))\/(s*s**(-2)*s))) assuming s is positive.\nAnswer: s**(2507\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (492 - 209 - 239)*(2*u + u - u) in the form b + m*u and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36128925 is divided by 2698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.1 (c) 7309 (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110802 and 531?\nAnswer: 332406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2) + 2970\/36. Let r = u - 88. What is the remainder when 85 is divided by 24 - r\/((-4)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8666801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4\/7 - 12*t**3\/7 + 10*t**2\/7 + 24*t\/7 = 0.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(209) - sqrt(209)) + (sqrt(209) - -5*sqrt(209)*6 - sqrt(209)))\/(5*(sqrt(11) - (6*sqrt(704) + sqrt(704)))*-4).\nAnswer: 3*sqrt(19)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**2 + 11*s**2 - 6*s + 0*s - 20*s**2 - 3. What is f(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 503?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 take away -65888?\nAnswer: 66240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6*h + 182 = -5*h, 0 = -w - 4*h - 28. Let m = -106 + w. Round m to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -2*s**3\/3 - s**2 - 4*s. Let l be k(-1). Solve -l*y = -0*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 800 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/((-8)\/(-32) + 2\/8). Solve 4*z = -4*z + w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeh when three letters picked without replacement from {i: 6, e: 3, q: 2, h: 1, y: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 9*r - 4. Let f be h(6). Let w be f\/(-33) - 448\/(-3). Calculate the greatest common factor of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47\/3 - -15. Let z be ((-6)\/8)\/((-2)\/4). What is the closest to -0.2 in -3, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2176*n**2 + 2463*n**2 + 2*n - 11*n + 9*n to m*n**2 + o + x*n and give m.\nAnswer: 4639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, b: 7}. Give prob of picking 2 b.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*b**2*i - 2*b*i - i + 223 with respect to b.\nAnswer: -148*b*i - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 6 + 9 - 7) + -1 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35783, -35712, -35641, -35570, -35499?\n\"Answer: 71*f - 35854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6997760 and -31\/59136.\nAnswer: 20993280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 3) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*v - 10 + 10 - 3*v + 1 - 1 + (0 + 0 + 2)*(5*v - v - 5*v).\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-225)*(-635)\/(-127)*-1*1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/(-7))\/(72\/(-57960)).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**6\/360 - 7*l**5\/360 - l**4\/36 - 7*l**3\/3 - 7. Let q(d) be the third derivative of o(d). Factor q(y).\nAnswer: -(y + 2)*(3*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 398*l**2 + 960*l**2 - 232*l**2 + 303*l**2 + 46*l**2 to the form o*l + n*l**2 + f and give n.\nAnswer: 1475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 21 = -b, -5*l + 3*b - 6 = 33. Let g be 22*((-2)\/4)\/1. Let a = l - g. Sort -1, a, 1.\nAnswer: -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 2 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*w - 4. Suppose 3*s = -0 - 3. Let v = w - s. Put -5, -1, v in decreasing order.\nAnswer: -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 1226732723290.273?\nAnswer: 1226732723290.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8666*s + 34660. Give l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 4*l + 2*l**2 + (2*l**2 + 2*l**2 - 2*l**2)*(-6 - 4 - 1).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 0*x + 10*x + 6*x to the form n + c*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*j + 40 = -0*c, 0 = -4*c - j - 24. Let v = c - 13. Let y be 1\/((4\/v)\/(-1)). Solve -4*f - f - y = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -272*k**3 - 267*k**3 + 869*k**3 - k**2 + 3*k - 209*k**3 as g*k**2 + z + l*k**3 + u*k and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15122 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*t + 134 - 814 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -113. Let r(z) = z + 1. Let i(g) = 6*g**3 + 14*g + 14. Let v(u) = -u**3. Let a(l) = i(l) + 8*v(l). Calculate f*a(j) - 28*r(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**4 + 2518577*p**3 + 3*p**2 + 87330251*p?\nAnswer: -72*p**2 + 15111462*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57583 is divided by 1151.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 252*z**3 - 20 + 27204*z**2 - 13611*z**2 - 13593*z**2 - 30*z**3.\nAnswer: 222*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*r + 3*r - 3*r)*(-3*r + r + 3*r) - 2*r**2 - 3 + 3)*(1 + 2 - 4) + r - 339*r**2 - 2*r - 463*r**2 as m*r + u + k*r**2 and give k.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + 39. Let x = 132 - i. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -89.48. Let b = d + -14.5200005816. Round b to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -35 (b) 9\/2 (c) 0.03 (d) -5\/59 (e) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44126527121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {x: 5, p: 6, m: 1, e: 1, v: 2, d: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 22 = 5*j + 3*g, -9 = -3*g. Let f = j + 8. Let v(q) = 0 - 2 - 2*q - f - 2. Calculate v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 27930*i + 502739. Give t(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y**3 + 0 + 15*y + 5*y**2 + 1\/3*y**4. Let l(s) = -11*s**2. Determine l(z(j)).\nAnswer: -704*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 11:56 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-2 + 1 + 0). Suppose -5*v + v + 8 = w. Let h = v + -1. Is h smaller than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*t = -58, 5*w + t = 17 + 57. What is the greatest common divisor of w and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 25540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:28 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 22*n**2 + 127*n + 8. Determine g(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f\/(f\/(f*f**4\/f*f)))\/f*f**(-4)*((f\/((f*(f**(-3\/4)*f)\/f)\/f)*f)\/f)\/(f**(-8)\/f))**(-42) assuming f is positive.\nAnswer: f**(-1071\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 787284421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 831222547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110101101010000000 - 11?\nAnswer: 1101110101101001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - q. Let r be n(-1). Suppose -3 = -r*x + 1. Suppose -3*f + 2*f = 0. What is the nearest to f in 0.4, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let f(a) = 10*a - 27. What is f(s(v))?\nAnswer: -10*v - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39595 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/20262 and 23\/18420.\nAnswer: 202620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 879882 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6251 and -4.\nAnswer: -6255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -379 + 378. Does 2\/173 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/139 - -848\/973. Suppose -10 = -y - y. Suppose -18 = -u - 2*o, -2*o + o - 123 = -y*u. Calculate the common denominator of u and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r + 53*r = 5*r + 58272. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84429414179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11969 - -263387\/22. Find the common denominator of r and 33\/76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = -5*k - 1, -2*p + k = -5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -30*y - 35. Let k be 0*((-4)\/6)\/(-2). Suppose c + y - 14 = k. Calculate the lowest common multiple of c and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230 by -133.\nAnswer: 230\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 4*x - 3. Let o be b(-5). Suppose o = -5*v + 4*m + 1, -v = 5*m - 23. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -125. Let j be (-140)\/77*(-1)\/q*1. Let z = 1\/132 - j. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + -5 + -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15006 - 15004. Solve -43*k = -41*k - 6, l*k = 2*s + 16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**5)\/(o**(-2\/37)\/o))**(11\/8) assuming o is positive.\nAnswer: o**(-1199\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 0*s + 2*s. Let k be f(8). What is the highest common divisor of k and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 4*t - 6. Let p(m) = -m. Let a(v) = -n(v) + p(v). Let y be a(-6). Suppose -4*x + 22 - 2 = y. Solve 1 = x*b - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2\/6)\/((-34)\/(-153)). Solve -2*d - 15 = s*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -874.51 - 0?\nAnswer: -874.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.41, 114674 in descending order.\nAnswer: 114674, 0.5, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v + 1. Let w = -1 - 0. Let y be u(w). Suppose 2*h - 5*i = 38, 5*h - 4*i = i + 95. Solve 5*o - y = -0*o + c, 5*c - h = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38112855.\nAnswer: 3, 5, 11, 101, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9895 + 4979 = 6*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 2*y. Let j(l) = l - 1. Suppose -m - 3 = -2*m. Let n be j(m). Which is the biggest value? (a) n (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c**(-2\/31))**29 assuming c is positive.\nAnswer: c**(-1624\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*j + d, -4*j = -d + 2*d + 16. Let a(i) = -2*i**3 - 3*i**2 - 4*i + 2. What is the tens digit of a(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 10*m + 1. Let v be h(9). Let u = v - 9. Calculate the highest common factor of u and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209 - 86. What is the remainder when c is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 2*y - 2*y**3 - 3*y**2 - 2 + 8*y**2 - 24*y - 3*y**2 to the form o*y**3 + w*y**2 + v + k*y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + x = 6*x + 20, -3*s - 15 = -3*x. Let a = s - -10. Let w(d) = -3*d**2 - 5*d - 2*d + d**3 + 3 + a*d. Calculate w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-39) + (-1 - -1). Let f = -7 - -6. Is f > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apap when four letters picked without replacement from apapaaaaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-276 + 1815 + 1231 - 148)*(2*z**2 - 2*z**2 - z**3).\nAnswer: -2622*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -2648?\nAnswer: -2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -30*r**3 - 3*r**2 + 2*r - 12. Is d(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 1:30 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/29 + -1709\/174. Calculate the common denominator of 25\/68 and x.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4 - (-22)\/84)\/(74\/15762). Let z(m) = m - 162. Let h be z(0). Let o = h + c. Is 1\/7 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3100*m - 39*m**3 - 3100*m + 2 as f + l*m + o*m**3 + g*m**2 and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -6.4. Which is the second smallest value? (a) k (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -579.229 and -0.5?\nAnswer: 289.6145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.973 - -0.027. What is the closest to 2\/13 in 0.3, q, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjss when four letters picked without replacement from {n: 1, j: 5, s: 4, v: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 + 4*i**3 + 0*i**3 - 2*i**2 - 8*i**2 - 11*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 19*d + 225 = 0. Let a = d + 79. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 46 - 13 + 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1112832 and 30629376?\nAnswer: 643216896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 16*i - 88 = 0. Let l = 58 + -58. What is the nearest to 3 in i, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nel when three letters picked without replacement from {e: 2, n: 5, l: 2, p: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/200 and 101\/420?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {i: 1, v: 1, w: 1, o: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/4 - 14*m**4 + 501*m**3\/4 - 113*m**2\/2 - 505*m + 450 = 0. Calculate m.\nAnswer: -2, 1, 2, 10, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - f + 35, -230 = 3*k - 33*f + 25*f + 56 + 81 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 1. Let l be o(-1). Suppose -l*i = 0, 5*j = -0*j - i + 220. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.6 - -27.1. Put 3, s, -329 in ascending order.\nAnswer: -329, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:03 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from ajmmzzjijjizmri.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4 (c) -0.6 (d) -1 (e) -12\/7 (f) -53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 23 - 5. Solve 0*f - z*f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:04 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 - 49*c**2\/6 + 583*c\/6 - 605\/2.\nAnswer: (c - 33)*(c - 11)*(c - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -580 + 1047. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137*1716\nAnswer: 235092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1216326785 to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3)*-3*2 + 5.\nAnswer: 5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(1573) + 1 + -3 - 3*(sqrt(1573) + 1 + -1 + sqrt(1573))).\nAnswer: -165*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4371.627ml in litres?\nAnswer: 4.371627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51242, -204372, -459392, -816302, -1275102, -1835792?\nAnswer: -2498372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222 + 1975 + 1282 = -185*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31619926*g**4 - 3631413 with respect to g.\nAnswer: -126479704*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15674746 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12) - (-250454)\/(-19788) - (144\/(-12) - 0).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 4*z**2 - 2*z**2)*(-1 - 1 + 0)*(-3 - 3 + 3).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300 - -344. Suppose 9*w + 26 = j. Suppose -12\/5*y + 2\/5*y**w + 18\/5 = 0. Calculate y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(15\/(-8)))\/(3\/(-45)). Let o(h) = h**3 + 3*h**2 + h - 1. Let y be o(3). Let u = i + y. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1735*j + 29796 = -28970 - 3694 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10 - 5 - 16 + 8 - 14*s. Let t be o(-8). Suppose -l + 5*l = -y + t, 0 = -y + 4*l + 105. What are the prime factors of y?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*n + 3*g - 18 = 21, -7*g + 23 = -2*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 19 + 18)*(-2*x**5 + 5*x**5 - 2*x**5 + (-2*x + 4 - 4)*(2 - 2 - 2*x**4)).\nAnswer: 190*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*v = -25. Let m(i) = -5*i - 30. Let t be m(v). Let h(w) = -6*w - 2. What is the remainder when h(t) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 - 9*d + 3. Suppose -52*r + 172 - 20 = -4. Let x(k) = 2*k**3 + k**2 + 17*k - 5. Give r*x(t) + 5*o(t).\nAnswer: t**3 - 2*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 67*u**2 - 2*u. What is i(1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13846*c**3*k + 4090*c**2*k wrt c?\nAnswer: 83076*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -17. Suppose -p + 1 = -4. Find the second derivative of -p*d**2 - 204 + x*d + 204 wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - v - 7. Let w be (2 + (-24)\/9)*6\/(-4). Let r be (-3)\/(-15) - (-9)\/5. Let u(o) = 1 - r + 4 - 4. Give w*l(c) - 5*u(c).\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 312851036 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: Let w = -3 + 2. Let c = -0.072 + 39.072. Let a = -39.03 + c. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2261 and 120992?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:07 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + 0 + 186 + -100?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**5\/20 - b**4\/4 + 2*b**2 - 2*b. Let a be h(3). Let u = 0.6 + -0.2. What is the biggest value in 1\/3, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1032 and 53.\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -75b5 (base 15) to base 12\nAnswer: -12508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*t + 297 = -2*t, 4*t + 12 = 0. Let a = q + -131. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 + (-23)\/3. Let j(o) = -o**2 + 4*o**2 + 0*o**2 - 2*o**2 + 2*o. Does 19 divide j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*15\/((-2700)\/(-8)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**0*d))**(-44)\/((d**(1\/5)\/d)\/((d\/(d\/(d*(d\/(d\/d**1))\/d*d)*d))\/d)) assuming d is positive.\nAnswer: d**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(136) + sqrt(136)*1 - sqrt(136)) + sqrt(136))*-3)\/(sqrt(200) + sqrt(200) + sqrt(200) + (1*2*sqrt(200) + sqrt(200) - sqrt(200)) + sqrt(200)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - -3) + 3 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74104 and 169560?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -36, -460 in descending order.\nAnswer: 1, -36, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -259 * -19.93\nAnswer: 5161.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4899 + -9529. Let o = 7340 + i. Suppose -o = -4*k - k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1127 + -1345. Sort 0.5, 0.1, w.\nAnswer: w, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131982142 a multiple of 1567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -0.16. Let b = r + 0.06. Let x = b - 0.9. What is the third smallest value in x, -1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -43 - (2817 - 2899)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**2*x**3 + 3*j**2*x**2 - 39*j**2*x - 2*j**2 - 53*j*x**3 - 2*j*x**2 - 5*x**3 wrt x.\nAnswer: 18*j**2 - 318*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595\/(-1384)*(-4)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from nfnfnfnnnnnffnnnnn.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 12*u - 13*u. Let v = 513 - 513.5. What is the nearest to 1 in v, u, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -316*x**2 - 154*x**3 + 155*x**2 - 230*x**3 + 158*x**2 to j*x**2 + g*x**3 + r + p*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -27*k**2 - 36*k**2 - 36*k**2 + 107*k**2 - k**3 - 2. Let m = 0 - -8. Calculate g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 18. What is the second derivative of -22*j + v*j**4 - 14*j**4 + 30*j wrt j?\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124363014 and 74352?\nAnswer: 9294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6909191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 6*z**2 + 24*z + 36. Let f(o) = o - 24. Let r be f(11). Is p(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 = 2*z - 1832. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 5*o**2 - 71*o + 46. Calculate j(13).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 92, 3094, -2\/101?\nAnswer: 3094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3493b (base 14) to base 11.\nAnswer: 88221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6135505 (base 8) to base 12\nAnswer: -661b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -464*t - 98370. What is u(-212)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29076 is divided by 20341.\nAnswer: 8735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7080138 - 7080660.0157. Let u = g - -0.0157. Let t = -521.999578 - u. Round t to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/(-14)*(-4011)\/(-1146))\/(-6).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4354cc (base 16) to base 11.\nAnswer: -25442a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143417030 + -5?\nAnswer: 143417023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*a = -25, 2*k + 6*a = a + 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*-1*(-4)\/6 is divided by (5 + 39\/(-6))*(-8)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4 + 2 + 4 - 4*g**2 + 2*g. What is o(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 779.39569 + -779.3. Round m to 3 dps.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 5, -34, -89?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3 - 5*j**2\/3 + j\/3 + 1\/3 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:44 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1523 - -13682\/9. Let j = 8008\/3 + -2694. What is the common denominator of v and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1386909142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -75. Suppose -6 = 5*s - 3*s + 4*h, x*h = -2*s - 10. Solve 3*i - 20 = 2*p, -p = -6*p - s*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 5*m - 3*m - 5. Let p be q(8). Is 6 a factor of 5 + 1 + -3 + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 1 + 1)*(5 - 2 + 3)*(6*d + d - 3*d)*(-80*d**2 + 86*d**2 + 78*d**2).\nAnswer: -4032*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.9. Let z = l - -0.9. Let r be 3\/(9\/(-10)) + 3. Which is the nearest to z? (a) 2\/15 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 58275503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -2*u**3 - 15. Let p(q) = 2*q. Determine l(p(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - -29 - -61) + ((-7 - -1) + 1 - -7).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(288)*1 + (-1*sqrt(8) + sqrt(8) - sqrt(8))*-6))\/((-4*sqrt(360))\/sqrt(10)*-1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1 + 2 + 1 + 1 + 3*c. Suppose -6*a + 4 = -4*a. Let y(t) = 2 + t + 2*t**2 - t**a + t. What is -2*f(s) + 3*y(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*y - 30*y - 5*t + 30 = 0, 0 = -5*y + t - 22. Sort y, -122, -1 in ascending order.\nAnswer: -122, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 != 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 2 - 3 - 4*o + o**2 - 2*o**2. Let z be q(-7). Let u = 29 - z. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 12) to base 15.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 - 6)*(9*l - 15*l**2 - 9*l)*(-2 - 3 + 2).\nAnswer: -315*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 374 + -371. Solve -4 - 5 = o*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12588 = d + 3*i, -3*d - 18904 = -i. Let b be ((-1496)\/3)\/4*d\/(-7). What is b rounded to the nearest one thousand?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + 43065\/58. Suppose c = -3*f + 275, -5*f + 71 = 3*c - x. List the prime factors of c.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 3925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15413451653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 78688 times -0.07\nAnswer: -5508.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 2*d - 5, 0 = d - 3. Let z = 47 + w. Let l(f) = -f**3 + 2*f**2 + 39*f - 16. Let j be l(7). Calculate the greatest common factor of z and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 211, -27, -431, -1007, -1761, -2699, -3827, -5151?\n\"Answer: -y**3 - 77*y**2 + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -55931\/189 greater than or equal to -296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 5. Let m be s(-1). Let g be 1 + (3 - m) - -4. Put 28, 0, g in increasing order.\nAnswer: 0, g, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*r - 73. Let g = r - 7. Solve -2*d + 2*k + k + g = 0, 0 = 2*d - 2*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**2 + 2*w**4 + 2*w**2 + 8*w - 15*w wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -56*d - 21. Let i(w) = -2*w**2 - 18*w - 22. Let c be i(-8). Let v be t(c). What is the greatest common divisor of v and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:54 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17392, -17132, -16798, -16390, -15908, -15352, -14722?\n\"Answer: 37*u**2 + 149*u - 17578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/o**5)\/o))**(-29))**30 assuming o is positive.\nAnswer: o**(-4350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-1 - 1)\/(-9 + 8). What is the remainder when 3 - 1 - x\/4*-87 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 5*r + 3. Let q be j(5). Solve q*n = 3*t + 12, 2*t - 5 = -2*n + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1264, -9746, -32782, -77650, -151628?\nAnswer: -261994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -5*d - 3*k, -d + 4*k = 54 - 18. Let p = 31 - 56. Let y = d - p. Solve y = 4*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1)*(4 - 6 - 3). Suppose -19 = 4*l + 4*q - 11, q = a*l + 4. Let x(u) be the first derivative of -3*u**3 + u**2\/2 - 1. Calculate x(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122148*u + 2355 - 6333 = 122046*u for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*c = -53*c - 3438. Suppose -3411 = -7*m - c. Calculate the remainder when m is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -676*y**2 - 12*y = 0. What is y?\nAnswer: -3\/169, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 4:34 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*d - 8*d - 6 = 0, -2*d = -5*i + 9. Suppose i*r - 489 = -3*s + 4*r, r - 659 = -4*s. Calculate the remainder when s is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737373.514 rounded to the nearest ten?\nAnswer: 2737370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 5*w - 2. Let b be l(4). Let j(m) be the first derivative of 5\/2*m**b - m - 1 + 1\/3*m**3. What is j(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8800396 or 8800397?\nAnswer: 8800397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 296, 286, 274, 260, 244, 226, 206?\n\"Answer: -w**2 - 7*w + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*v**2 + v - 579*v**2 + 414 - v - 414.\nAnswer: 66*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 244\/1467, 0.3, -2 in increasing order.\nAnswer: -2, 0.01, 244\/1467, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - -0.2. Let m be (-12)\/(-14)*11\/(-22). Sort 2, r, -1, m in descending order.\nAnswer: 2, m, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 223*p**3\/3 + 5*p**2\/2 - p + 84. Let h(l) = -l**2 - 7*l - 10. Let z be h(-4). Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20170406129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/120 + q**4\/4 + 5*q**3\/3 + 3*q**2 - 38. Factor p(z).\nAnswer: (z + 2)*(z + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1 - 5 + k + 1. Let n be t(2). What are the prime factors of n - -3 - (1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 57\/11?\nAnswer: 57\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 179*q - 176. Let n be s(1). What is the highest common factor of n and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(i - i - 2*i)*(-9*i - i + i) as s + y*i + c*i**2 and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-507)*-3*-1. Let o = -22 - -20. Let l be (-5)\/7 + (1 - 0). What is the second biggest value in o, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159539720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 716749*k**2\/3 - 128429773592*k\/3 + 899043536188\/3.\nAnswer: -(k - 7)*(k + 358378)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -28*d**3 + 11*d**2 + 10*d - 36. Is o(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*u + 64, 4*h - 3*h - u = 36. Let q(i) = -i**2 + 10*i - 6. Calculate the remainder when (h - 1) + (-5)\/(-5) is divided by q(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/18*(-1 + (-29)\/(-2)). Let a = 0 + 18. What is the highest common divisor of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 48*u + 10. Calculate the lowest common multiple of q(-24) and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743709131 is divided by 281708.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -1 (c) -2\/21 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k - 14. Let m = 27 - 16. Let b = k - m. What is the smallest value in -0.1, -2\/9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 (base 8) in base 9?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*(-14283)\/1058?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2950 and 37760.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145901\/65 < 17630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1439645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011819992 to five dps.\nAnswer: 0.01182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 120 (b) -4 (c) -5.054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234 + 665 - 474 = -75*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)*f\/f**(-9)*f assuming f is positive.\nAnswer: f**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*36\/20*(-4840)\/(-726).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8395, 8396, 8397, 8398?\nAnswer: 8399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 138*k - 1865. Give q(14).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1940*d**5 + 1575*d**5 - 3534*d**5 + 4*d - 41*d**2 + 2*d - 4*d wrt d?\nAnswer: -233940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3416 and 83\/1281.\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + n - 65, -180 = -3*b - n + 3*n. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-90))\/((-10)\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652a (base 11) to base 3.\nAnswer: -102211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1960770 and 14040?\nAnswer: 917640360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 34238487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/3 (c) 1.3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from vujcuueucjujuce.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (-115)\/9 - (-4)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -344 - -346. Let k = -9 + 9. Let v = -5 + k. Which is the smallest value? (a) z (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (3 + -2 - -1)) + -362 + 419?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*n + 2, -76*n = -75*n - 4*f - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*m + 2*m - 57 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 - 4 = 0. Suppose 4*o - 52 = -m*v, -o = -3*o - 5*v + 41. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -14*a. Suppose a = -m + 4*y - 21, -2*m - y = y - 8. Is 13 a factor of 3 + -3 + m + 1 + 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(48)\/sqrt(4) + sqrt(12) - sqrt(12)) + (2 + sqrt(1377) - sqrt(17)))**2 + 5 + 5*-3*(sqrt(17) + sqrt(17)*2).\nAnswer: -9*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyhqhyhhqsjshhhjqsh. What is prob of picking 3 q and 1 h?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**2 - 29*b**4 + b**4 - 5*b**2 + 4*b**2 wrt b.\nAnswer: -672*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -3.7. Let o = 6 - j. Let f = -0.6 - 0.4. Put o, f, -5 in increasing order.\nAnswer: -5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100490 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 263622*g + 5791379907.\nAnswer: 3*(g + 43937)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -417, -406, -429, -498, -625, -822?\nAnswer: -1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/41, -14.76, 4?\nAnswer: -14.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 3*b**3\/2 + 11*b**2 + b + 21. Is h(12) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(-14)*z*z)\/z*z**7\/z)\/((z*z**(-4)*z)\/z)**28 assuming z is positive.\nAnswer: z**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 995, 954, 997, 1166, 1503, 2050, 2849?\n\"Answer: 7*f**3 - 90*f + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5607305326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 5 (c) 3\/1735 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 4*m - 4*m)*((3 + 3 - 3)*(-1 + 1 + 2) + 0 + 2 - 3) - 3*m + 4*m + 0*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 25\/75*52*(-15)\/(-20)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 20 = -2*i + 6, 3*v = -3*i - 21. Let k = 11 + i. Let l(m) = m**3 - m**2 - 5*m - 2. Is l(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (43 + -16 + -16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/533, -0.5.\nAnswer: -0.5, -0.4, 1\/533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 39*q**2 - 44*q - 63. Calculate n(-38).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c + 1\/2*c**4 + 6*c**2 + 19\/60*c**5 - 7\/180*c**6 + 0 + 7\/3*c**3. Let b(g) be the first derivative of o(g). Factor b(f).\nAnswer: -2*(f - 3)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7873 + 1547?\nAnswer: -6329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 83?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdqqdqdqqdqqd. What is prob of picking 2 d and 2 q?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(6480)*2 + -2 - (sqrt(6480) + -2 + 4)))*4*4)**2.\nAnswer: -147456*sqrt(5) + 1675264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.02396\nAnswer: -0.1198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 2*j**2 - 3*j - 2. Let k be u(-2). Let b be k\/(-12)*-3 - -1. Suppose -9 = -b*d - 1. Solve -p = -3*a + d*p + 7, a - 2*p = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -503 - -195. Let b = h + 75458\/245. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 - (-8 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/60 + 31*b**5\/15 - 21*b**4\/4 - 1167*b**2. What is q in u(q) = 0?\nAnswer: -63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = 3*t - 323088, 3*g = 4*t - 430788. Round t to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -6, -20, -50, -102?\n\"Answer: -v**3 + v**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*m**2*o**2 + 661*d*m*o**3*x + d*x - 20*m**2*x + 2*o**3*x - 8*o*x with respect to d.\nAnswer: m**2*o**2 + 661*m*o**3*x + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0*p**3 - 8*p - 1\/4*p**4 + 0*p**2 + 0. Let n(y) = 2*y**2. Give n(q(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + -4 + 4\/4. Suppose r*i + 77 - 82 = 0. Solve -i = -2*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6237803mm in nanometers?\nAnswer: 623780.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/12 + r**3\/2 + 3*r**2 + 37*r - 2. Determine t(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7826*l - 10579 = 1833*l + 31372 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 51. Solve 2*k + 19 = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14294*f**2 - 254*f**3 + 14294*f**2.\nAnswer: -254*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38760 and 12160.\nAnswer: 620160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 5*l + 4. Calculate the remainder when x(3) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 26 - 51 = 0. Solve 0 = -f*j - 23 + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -46. Suppose -q + 17 = -5*b. Calculate the lowest common multiple of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 101. Suppose -u = 4*x - 76 - 218, 1036 = 4*u - 4*x. Calculate the highest common divisor of u and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - j**3 + (-j + 1 - 1)*(-4*j - 2*j**2 + 4*j) - 3*j + 2*j**3 + 3*j + 3*j**3 + 0*j**3 - j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k + 3. Let r be p(2). Let y(c) = r*c - 16*c + c + 19*c. Let a(g) = g. Determine y(a(t)).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -44. Put 5, 3, b in ascending order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 53 = 6*c. Let q be 1 + -1 + 3*1. Suppose q*h = -3*p + 36, 4*h - 2*h = -p + 19. What is the remainder when c is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57788 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 59*l - 2571. What is y(-88)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 15 - 10, -2315 = -5*y + 5*p. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 - 8*n**3 - 2*n**2 - 4*n + 8*n**2 + 4. What is o(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5047 divide 100485770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3542 - -9?\nAnswer: -3537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = g - 7, -133 + 127 = 4*f - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15330.432 to the nearest ten.\nAnswer: -15330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.26 in -2\/3, 2\/5, 0.08?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1334, 3, 4058 in descending order.\nAnswer: 4058, 1334, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 203*z**2 + 15 - 102*z**2 + 7*z - 102*z**2. Let m be q(-2). Which is the second biggest value? (a) m (b) -0.4 (c) -0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(3\/(-18)*-4). Suppose -n = -9 - f. Let r(t) = -t - 2. Calculate the remainder when n is divided by r(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153300 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -11200111122?\nAnswer: 11200112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/6 (b) -1\/23 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*u = -58*u - 1192. Suppose 3*n - 113 = u. Suppose d = -109 + n. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 206 + 19537*c**2 - 204 + 18*c - 19541*c**2 as j*c**2 + s + l*c and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 8*x - 3. Let h be r(10). Let p = h + 350. Suppose -135 = -5*k - 0*k. What is the highest common factor of k and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(2*(4 + -3))*2. Let c(o) = -56*o**2 - o + 5. Let m be c(z). What is m rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + p**3 - 5*p**3)*(p + 3*p - p) + (-2*p**4 + 6*p**4 - 2*p**4)*(-4 + 0 + 5).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a + 9. Let f be u(7). Let p(d) = -d + 2. Let h be p(f). Solve 5*n + 3*m - 3 = h, n - m = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 550 and 8?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d**(-1\/3)*d))*d)\/(d**4*d)*(d*d**(-1))**(-16\/3) assuming d is positive.\nAnswer: d**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -575*d**4*k + d**2*k + 457*d*k + 8*d + 2*k wrt d?\nAnswer: -6900*d**2*k + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*f = 2, -w = 4*w - 3*f + 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2078 + -1934. Calculate the greatest common divisor of 68 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-9296)\/(-21256)) - (-123 - -155)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -5409654746527?\nAnswer: 5409654746527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360 and 1014200?\nAnswer: 9127800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697745*c = -697754*c + 126 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 - -218. Suppose -h*p = -11*p + 52. Does 6 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169534 (base 10) to base 8.\nAnswer: -513076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 50?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -179930 divided by -3?\nAnswer: 179930\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2 = -2*z, 0 = -0*z + 2*z - 5*w + 22. Let r(q) = -25*q + 18. Does 28 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -44\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7713151657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21583*i**2*n**3 - i**2 + 15115*i*n**4 - 107976546*i*n**2 wrt n.\nAnswer: -129498*i**2 + 362760*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*q - 55*q - 17*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 9 - (-5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 9*n**2 + 7*n - 1. Suppose 0 = -3*x - 40 + 13. Let v be b(x). Let c = v - -241. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25126116593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fgfsccf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2125)\/182350)\/(10\/35) and 9\/10?\nAnswer: 10420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3 - 26 - 152*r + 107*r + 6*r**2 + 26 = 0. What is r?\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose -x*u + 8 = 0, -2*u = 2*w + 3*u - 26. Let s = -3 + 3. Solve 4*f = -s + w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.39 + 1.59. Let q(j) = 3*j**3 - j**2 + 1. Let g be q(1). Which is the third biggest value? (a) 0 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1522, 1499, 1458, 1399, 1322, 1227, 1114?\n\"Answer: -9*v**2 + 4*v + 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1001 + -997\/2002. Which is the nearest to -3\/10? (a) u (b) -2\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*x - 10, -21 = -4*b - 52*x + 53*x - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 3179*q**2 - 56891*q - 128. What is f(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + 6*y**2 - 4*y + 3. What is b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 245557 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*p - 18, -3*u + 4*p = 1649 - 1633 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + g = -4*g - 275, 0 = -5*g - 15. What is the remainder when 258 is divided by n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1*(-4)\/(-4). Suppose -y + 4 = p. Let k(v) be the third derivative of v**6\/120 + v**4\/12 + v**3\/6 + 2*v**2. Let n(x) = -x. Determine y*k(i) + 4*n(i).\nAnswer: 2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39457\/12 + 3296. Let r = 1340097\/49210 + 6\/1295. Let n = r + -52\/19. Calculate the common denominator of q and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 12*b + 265. Calculate g(-12).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Suppose 0 = 2*n - 4*m - 8, 4*n + y*m - 22 = 5*m. Calculate the smallest common multiple of n and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 15*v + 602. Let y be q(-33). Solve 3*m + 3 = 2*l + y, -4*l = -2*m - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/4433 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 4. Let k be z(-2). Let r(g) = g**3 - 5*g**2 - 7*g + 9. Let v be r(k). Factor h**v - 21*h**3 - 2*h**4 + 8*h**4 - h**4.\nAnswer: 5*h**3*(h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**2\/2 - y + 74. Give f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 - -1)) + 14 + -21 + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -631.1 - -631. What is the nearest to m in -2\/3, -0.2, 1\/5, 0.17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {g: 1, s: 5, m: 5, p: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4672.093 millimeters?\nAnswer: 0.004672093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2164 - -2308. Calculate the remainder when z is divided by 130.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210 - 197 - 2 + 703)*((8*h**3 - 5*h**3 - 12*h**3)*(3 - 4 - 2) + 2 - 2*h**3 - 2).\nAnswer: 7350*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -3*w**2 + 0*w**4 + 0*w**3 + 0 + 0*w - 1\/15*w**5. Let h(c) = 0*c**2 - c**2 + 3*c**2. Calculate h(f(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2850 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a milligram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -188\/1005 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (268\/536)\/(4\/(-6))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(24\/8)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-3)*(-48)\/(-40). Let l be (45\/(-6))\/(2\/z). Solve l = 5*w - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -2) + 2 + 1 + -4 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3*(-24)\/45)\/((-2)\/5). Let g(f) = 0*f + 2*f + 4*f**2 + 2*f + 8. Is g(w) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119 - 97) + 3 + -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/9 - 3295676*l\/9 - 2715370074244\/9.\nAnswer: -(l + 1647838)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 plus -884?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6f90e (base 16) in base 9?\nAnswer: 765758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -8. Let c = u + 4. Let w = c + -9. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-105))\/(((-1)\/7)\/(-1)). Let b(h) = 4*h**2 - h - 2. Calculate b(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 52. Solve 2 = y*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 192*x**2 + 38*x - 136. Calculate z(3).\nAnswer: 1706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -23*h**3 + 5*h + 2. Let l be v(-2). Let z be 84\/22 - (-32)\/l. Solve t = g - 6, z + 2 = -2*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.19, 514275, 0.2, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138703, 138706, 138709, 138712?\nAnswer: 138715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-14) + 5)*10\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.319063 - 39640.380937. Let c = f - -39349.561. Let g = c - -291. What is g rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11485, -11312, -10849, -9952, -8477, -6280, -3217, 856?\nAnswer: 6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266471323?\nAnswer: 266471323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/(sqrt(6)\/sqrt(2)))\/sqrt(7) + -4)**2*-1.\nAnswer: -19 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - (-57 - -65)) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -693.9943 rounded to the nearest integer?\nAnswer: -694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -18*b**3 + 9*b**2 + 11*b + 6. Let y = 365 - 369. Is 77 a factor of p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 3. Let y be 14 + 7\/((-35)\/20). Put w, 3, y in decreasing order.\nAnswer: y, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95970 is divided by 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 13 + 7\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*y - 137*y - 319*y**2 - 143*y - 132*y.\nAnswer: -319*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12555969 and 4506?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 171720302 rounded to the nearest 100000?\nAnswer: 171700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37\/34 - -10\/17. Let g be 28\/((-3 + 0)\/3). Let r be (4\/(-14))\/((-6)\/g). Which is the smallest value? (a) d (b) 2\/15 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-14) - ((-77148)\/2520 - -30). What is the closest to c in 7, -0.1, -41, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*n - 5*z, 20549*n - 4*z = 20554*n + 35 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**8\/(((v*v**(3\/4))\/v)\/v)*(v**(-6)\/v*v)**(-4\/5) assuming v is positive.\nAnswer: v**(261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 808144*u**2 + 27473428*u + 233514312.\nAnswer: 4*(u + 17)**2*(u + 202002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 593, 1425, 2617, 4175?\nAnswer: 6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11773 is divided by 160.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987455?\nAnswer: 5, 7, 89, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**4 - 540*a**3 + 3530*a**2 + 540*a - 3535 = 0.\nAnswer: -1, 1, 7, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19832018*d**2 - 45*d + 68216?\nAnswer: 39664036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30565*z + 15270*z + 15283*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 287?\nAnswer: -80\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d**2 + 3. Let b(n) = n**3 + 11*n**2 + 11*n + 10. Let l be b(-10). Let a be s(l). Is (2 + -1)*a + 554 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 4 + 31*g**2 + 4 + 92*g**2 to z*g + w*g**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 39*u + 116. Let f(x) = -14*x - 2. Calculate -b(w) - 3*f(w).\nAnswer: 3*w - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 36, 54?\n\"Answer: 18*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 2478187 + 2478187.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 812 + -823.3. Put b, 4, 0 in decreasing order.\nAnswer: 4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-443)\/(-3101))\/((-6)\/77)*(-2)\/22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from wwwoowooowoowwowwo.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945068.\nAnswer: 2, 191, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2826324 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9231*k**2. Let o(g) = -g. What is o(d(v))?\nAnswer: 9231*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24675086*k**3 - 56078557 wrt k.\nAnswer: 74025258*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517764.8 millennia in years?\nAnswer: 517764800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43729*f + 43731*f - 4 = -3*z, f = 9*z + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-7) - 80\/(-28). Solve y + 23 = 5*i, -c*y = 2*i + 9 - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10689 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Solve -z - 3*k = -8, -4*k + x - 2 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 454 = 2*w, 5*g - 448 = w - 0*w. Let u = g + -3. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -1061?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -7, -51, 1\/5, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**30*m)\/m)\/m*(m\/(m\/(m**(-31)\/m)))\/m*m*((m*m*m\/(m*m*m*(m\/(m*m\/(m*m*(m**(-17)*m)\/m)))\/m*m*m*m*m))\/m*m)**(-2\/75) assuming m is positive.\nAnswer: m**(-176\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20875, 83459, 187749, 333745, 521447, 750855?\nAnswer: 1021969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(5\/7))\/k*k*k\/((k**7*k)\/k) assuming k is positive.\nAnswer: k**(-23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 127*z - 67. Determine n(-63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 6*f + 595. Suppose -4*z - 12 = -0*z, -w + z = -3. What are the prime factors of x(w)?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tad when three letters picked without replacement from hwwtwadatt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 8 - (-4 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g - g**5 - g**4 + g**4 - 2*g**5 + (-g + g + 2*g)*(-2*g**4 - 2*g + 2*g) + (0*g**5 + 0*g**5 + g**5)*(5 - 9 + 15).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008046383342 to seven decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d - 7. Let c(v) = v. Let o(g) = 6*c(g) - i(g). Let h be o(6). Which is greater: h or -2\/25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 6:31 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -27ba20a?\nAnswer: -27ba212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuupggpcc. Give prob of sequence pu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 75 = 75. Suppose -9*a + 10*a = l. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1272189 divided by 1\nAnswer: 1272189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1075 by -5.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14005886 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 + 1056*s**2\/7 - 10838*s\/7 - 41964\/7.\nAnswer: 2*(s - 13)*(s + 3)*(s + 538)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -28 (b) 4 (c) -0.1 (d) 2 (e) 62 (f) 3 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*b**3*j**5 + 69426*b**3*j**3*s + b**3*s - 6*b**3 + b**2*j**2*s - 60*j**2*s - 6*j**2 - 3*j wrt j?\nAnswer: 1260*b**3*j**2 + 416556*b**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 238\/20091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 + 9 - 2*l - 5. Let i be b(3). What is the nearest to -2\/7 in 4, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -9*j + 15. Suppose -j*v + 100 = 2*v. What is the highest common factor of v and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -8 + 9 + -12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*f + 19700006, -4*x + 2*f - 15759985 = -3*f. Round x to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6283.5668 + 6283. Round f to 2 decimal places.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Suppose -5*v - y*i = -124, 4*i - 1 - 75 = -3*v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 5)*(-2*z**2 + 6*z**2 - 3*z**2) - 2*z**2 - z**2 + z**2)*(-1068*z - 714130 + 714130 + (0*z - z + 3*z)*(-1 + 3 - 3)).\nAnswer: 3210*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 + -0.01. Let p be (8\/56)\/(2\/(-4)). Which is the closest to p? (a) t (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 184\/301633?\nAnswer: 184\/301633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 13 = 3*h, -5*h - 11 + 0 = v. Suppose 0 = v*j - 3*j. Solve j = -r - 2*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + 1025895346?\nAnswer: 1025895346.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43\/2 of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -0.15.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 727 - 3?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - a**2 + 3*a + (540 + 81 + 5 + 193 + a**2)*(11 - 11 - 8) to y*a**2 + i + m*a and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1323 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 4. Calculate c(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + -1.3. Let g = m - -1.4. Let v = g - -4.4. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:12 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1883 or 1880?\nAnswer: 1880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 3486.\nAnswer: 31374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47580 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2042031341 (base 5) to base 14.\nAnswer: 7c9852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12826?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 840670.6s in microseconds?\nAnswer: 840670600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13813, 13803, 13779, 13735, 13665, 13563, 13423?\nAnswer: 13239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2982, -6173, -9364, -12555, -15746?\nAnswer: -18937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-385)\/(-14) + (-5)\/(-2) + -2. Let t(v) = -v**2 - v**3 + 23 - 46 + c. Calculate the remainder when 31 is divided by t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 695540*l\/3 - 463696.\nAnswer: 2*(l - 347772)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -1)*(8 - 234\/21). Let b be y\/(-121) + (36\/165 - -1). Find r such that -2\/5*r**3 + b*r**2 - 7\/5*r + 2\/5 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e5cd6 (base 16) to base 11.\nAnswer: 593210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -53cc?\nAnswer: -53c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 2*d**3 + 10*d**3 + d**2 - 11*d**3 + d to n*d**3 + t*d + f + b*d**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.93174 centuries?\nAnswer: 1118.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 122*h**2 + 1410*h + 2825. Give o(-2).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-60)*(-8)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49980088528 + -14?\nAnswer: 49980088514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, x: 7}. Give prob of picking 3 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.127 + 1572446660.\nAnswer: 1572446660.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 + 4 - 4)*(65 - 144 - 49*j**2 + 60*j**2) in the form z*j**2 + r*j + o*j**4 + w*j**3 + p and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -407624726 by 2.\nAnswer: -203812363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 v when three letters picked without replacement from iiyrvytytatyvyvtviyv.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 2) + 32 - -4)*((-60)\/(-2) + -32)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110977*q**4 + 639463*q**2 wrt q.\nAnswer: 2663448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 35*g + 254. Determine y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-9))\/s**(-25) assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {x: 4, q: 1, p: 1, d: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107194, -428809, -964850, -1715317, -2680210, -3859529, -5253274?\nAnswer: -6861445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 2075293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2566 = 4*s - 5*j, 5*s - 3*j + 153 - 3354 = 0. What is the highest common divisor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9147 - 3495. Suppose -n = -8*m + 1172. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 10*b + 11. Calculate the smallest common multiple of j(3) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**7\/14 + x**6\/6 + 397*x**5\/20 - 1061*x**4\/12 + 463*x**3\/3 - 132*x**2 + 2*x + 639. What is v in w(v) = 0?\nAnswer: -12, 2\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let b(w) be the second derivative of 5*w**3\/6 + 37*w. Give i(b(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 9*t - 2*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/221 + (-217)\/(-546)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352131 (base 7) in base 6?\nAnswer: -1204303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-500)\/200)\/(((-16)\/(-192))\/((-1*2)\/(-2))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 + 1072\/88. Suppose 0 = s + 4*c - 16, -3*c = 3*s + 2*s - 29. Suppose -5*p - s*q = -x, -p + 5 = -3*q - 5. Solve 4 = p*n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) 4 (c) -5 (d) -63 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((144\/5)\/4)\/(2\/(-10)). Let r = -26 - i. Calculate the highest common factor of 90 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 6, i: 2, f: 4, k: 1, u: 1}. What is prob of sequence yffi?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/14)\/(((-746396)\/(-931))\/122)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 502*k + 132. Let g(r) = -14*r**2 - 1506*r + 352. Let c(o) = 8*b(o) - 3*g(o). Find a, given that c(a) = 0.\nAnswer: -251, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 g when three letters picked without replacement from {c: 2, g: 5, r: 3, j: 8, u: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(-279*a**2 - 1086 + 1086) + (-4*a + 3*a + 2*a)*(5 - 2*a - 5).\nAnswer: 835*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179766 = -4552*m + 14539*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 2369 = -107*h + 7521 for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-63)\/(-6))*(-308)\/836?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86792 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*o - 202*o**2 - 305*o + 198*o**2 - 201*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*l - 48, l - 195 + 120 = -5*j. Let s be ((-7)\/(-1))\/((-4)\/(-128)). What is the greatest common divisor of s and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/3927*(-14)\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*y**2 + 10232*y**3 - 28321*y**3 - 92*y**2.\nAnswer: -18089*y**3 - 253*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 8. Let g be b(-5). Suppose -g*d + d + 125 = 0. What is the greatest common divisor of 50 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1378548*q + 2757057. Give p(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 816 - 545. Suppose -3*y + 719 = -v. Suppose y = r + r. Is 55 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/4))**(2\/75)\/((((c**3\/c)\/c)\/c)\/((c\/c**5)\/c)))**(-37\/3) assuming c is positive.\nAnswer: c**(3071\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-29)\/(-4))\/(6\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/66 - 5\/(-15 - 5564\/(-390))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 8. Let x(c) = -c**3 + 9*c**2 + 8*c. Let n be x(k). Suppose -2*f = -6*f + n. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 1, g: 2, x: 9}. What is prob of picking 1 g and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let c be i(4). Let m be (-2 - (-10)\/c)*2. Let g(s) be the second derivative of s**5\/20 + 2*s**4\/3 - 3*s**3\/2 + 3*s**2\/2 - 7490*s. What is g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 2. Let o(h) = h**2 + 1. Suppose -4*n + 22 = -2*c, 3*c + 13 = 3*n - n. Determine c*w(a) - 3*o(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*i - 499*i + 196*i to the form k*i + b and give k.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-156)\/234). Let y be (1 + 0)*2\/10. Which is greater: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/152 and -79\/394.\nAnswer: 29944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344236, -344252, -344268, -344284, -344300?\nAnswer: -344316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2132, -3909, -6868, -11003, -16308, -22777, -30404, -39183?\nAnswer: -49108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25747, 44.1, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 take away 0.8331?\nAnswer: 35.1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*g + 102*g - 5*a + 15 = 0, 0 = -3*a + 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -128, 0.4, -2\/21, 2\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.621929 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1. Let c(w) = -w + 22. What is c(k) - 4*q(k)?\nAnswer: -k + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + 0*k**3 - k**2 - k**3)*(-214 - 256 + 596) to w*k**2 + u*k**3 + q + m*k and give w.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**8*v*v*((v*v**1)\/v)\/v*v**1*v*v\/(v\/(v*(v*v\/(v**7\/v))\/v)) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 47 - 17 = -q, -l + q = -68. What is the tens digit of (-1 + 8\/6)*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 331, -2\/5, -0.189?\nAnswer: -0.189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 26*m = 207. Let c = m - -71. Let h = -13 + 25. Solve -c*g - h = -2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:18 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 770 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.45, -2\/29, -3, -0.4, -0.1 in descending order.\nAnswer: 0.45, -2\/29, -0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzaabzbbbbzyyab. Give prob of sequence aaa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h\/(h\/h**(-1\/7))*h))\/h)*h*h*h**24\/h)\/(h\/(h\/(h*h**(1\/2))))**32 assuming h is positive.\nAnswer: h**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -5402?\nAnswer: -5405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10467, 10482, 10507, 10542, 10587, 10642, 10707?\nAnswer: 10782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -54\/5?\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g + 11*g + 12*g - 44*g + 2*g**2 + 11*g in the form f*g + o*g**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a factor of 207742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-175)\/(-20))\/(-7)*(-4)\/(-30). What is the biggest value in f, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271534818 divided by 2.\nAnswer: 135767409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -296*l + 3. Let d(j) = -j. What is -3*d(q) + y(q)?\nAnswer: -293*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13544*m**6 + 2*m**5 - m**3 - 48090*m**2.\nAnswer: -1625280*m**3 + 120*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46920 and 660?\nAnswer: 516120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**6\/180 - f**5\/120 + f**4\/36 + 10*f. Factor b(a).\nAnswer: -a**2*(a - 1)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 0, 4*l + s - 1584 = 0. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 32 - 27 = 89*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-2)*6*(-4)\/36.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -4*z. Let t be (-349)\/6 + (-16)\/(-96). Let i = t - -66. Calculate the lowest common multiple of i and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 > -378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 41*j**2. Let k(v) be the first derivative of -v**3\/3 - 50. What is q(k(y))?\nAnswer: 41*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from {j: 2, x: 4, q: 2, w: 7, b: 1, h: 4}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 83092610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73616 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r**2 + r)*(-4 + 0 + 673*r + 4 + 197*r).\nAnswer: 3480*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 4*l + 1\/6*l**3 + 3\/20*l**5 + 0*l**2 + 0 + 0*l**4. What is the second derivative of z(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113207 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: Evaluate 1*(-54)\/(-78)*-39.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.4 (b) -0.5 (c) -20 (d) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06441815 + 273.566\nAnswer: 273.63041815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 2*j - 3. Let c be (0 + (-12)\/4)*1. Let p be (-18)\/c*(-4)\/(-6). Let t(o) = 3*o**2 - 2*o - 4. Calculate p*t(m) - 5*b(m).\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 484 - 488.29. Let p = -4.69 - l. Put -1\/5, -0.1, p, 3 in ascending order.\nAnswer: p, -1\/5, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9)\/((-4)\/(-24))*(-2145)\/(-110)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 2190623493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*t + 0 - 5*t)*(-22*t**4 - 9*t**4 + 2*t**4).\nAnswer: 58*t**5 - 29*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1419.4 times 10.09\nAnswer: -14321.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 19669?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*d + 20 = 0. Suppose g + d*s + 25 = 2*g, -s - 43 = -2*g. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 0*a + 0*a**2 + 33\/5*a**5 + 20 - 1\/4*a**4 - 49\/3*a**3. What is the third derivative of w(m) wrt m?\nAnswer: 792*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -42*x + 10*x - 9. Sort -13, -22, -0.4, x in ascending order.\nAnswer: -22, -13, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*a - 204, 2*a - 3*p - 93 = 30. Suppose -a = -4*q + 154. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1264 - 1206) + 13 + -176?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (19 - (21 + -2033)) + 0 + -8. Calculate the greatest common divisor of c and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-38)*(-28)\/12040*-86)\/(-2)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339233 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Suppose 0 = 2*q - b*s - 48, 0*s - 97 = -5*q - 4*s. Suppose 0*o - 5*o = z - q, -23 = -z - 3*o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cwwcwwwwwww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 289\/(-17)*(-27)\/(212058\/(-84))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5\/5 - 21*t**4 - 1341*t**3\/5 - 7359*t**2\/5 - 2904*t = 0. Calculate t.\nAnswer: -11, -8, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-994)\/426 - 2\/(-2))\/((-16)\/2). Which is the fifth smallest value? (a) 0.4 (b) j (c) -9 (d) 0 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 6*k - 75. Suppose -3*w = -76 - 101. Calculate the remainder when w is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -54, 73, 192?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1294, 1, -4, 941 in decreasing order.\nAnswer: 941, 5, 1, -4, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 150628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*((-11)\/33*15 + 4). Solve v - p = b, 0 = -3*v + b + 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 16. Let q(k) be the third derivative of -2*k**2 + 1\/60*k**5 + 0*k + 1\/3*k**3 + 0 + 1\/24*k**4. Give q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o + 7*o**2 - 4 - 2 + o**3 - 2 + 2. What is the units digit of g(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*((4*(sqrt(11) - (sqrt(176) + sqrt(11))**2) - ((2*sqrt(66))\/sqrt(6) - sqrt(11))**2) + (4 + sqrt(11) + 1 - (3 + sqrt(176))**2)).\nAnswer: 380*sqrt(11) + 25820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4636*b**3 + b**2 + 2*b - 2. Is w(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h + 30*h + 33*h - 4*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, -156.\nAnswer: -156, -27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922960.\nAnswer: 2, 5, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 5*z + 7557 - 7553.\nAnswer: -4*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18056 and 63\/8.\nAnswer: 18056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 41 = -4*y, s - 5*s - 3*y = 43 - 80 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g. Let b(f) = -689206*f. What is j(b(h))?\nAnswer: 3446030*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - r + 3*r + (-4*r + 3*r - r)*(3 - 2 - 3)*(4 + 1 + 0).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -1. Suppose -2*i + 3 = i. Let s = 1195 - 1191. What is the nearest to f in i, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 3*p**2\/2 - 2. Suppose -5*v + 4*o = 0, 3*o + o = 3*v. Let u(k) = k + 1 - 1 + v*k. What is u(b(j))?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 201.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 5*h, -h + 0*h = -3*v + 14. Let c = -109 + 123. What is the remainder when c is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 22. Let f be (-18)\/(-8)*(-16)\/4. Let r(w) = w + 20. Let a be r(f). Calculate the highest common divisor of m and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzzzzm. What is prob of sequence mm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 869934 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*r - 18*r + 12851 + 7057 = 4398 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -1330.6239858?\nAnswer: -1338.6239858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*p**3)*(5*p - 2*p - 2*p) + (-2*p**3 + 0*p**3 - p**3)*(-11*p + 17*p - 13*p) + 11*p**4 - 34*p + 34*p.\nAnswer: 34*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139\/3 - 47. Let d(q) = -3*q**3 + 2*q**2 - 1. Let l be d(-1). What is the closest to 2\/7 in l, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 6) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 63*m - 9402. Determine g(149).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1144 - 1144. Solve 2*j + 2 = r, -3*v = -5*j + 7*j - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**6\/36 - o**5\/30 - o**4\/24 + o**3\/18 - 174. Factor k(y).\nAnswer: y**2*(y - 1)**2*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 5, l: 5, j: 3, i: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 159\/51 + (-10)\/85. Suppose -k*g + 27 = -2*g. Let q(a) = -a**2 + 7*a - 6. Calculate the remainder when g is divided by q(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-1620))\/((-2)\/(-5))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.009+-3.936171846\nAnswer: -3.945171846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 20*d + 40 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/3 - 774*c**3 - 11644*c**2\/3 - 6216*c - 9328\/3 = 0 for c.\nAnswer: -2, -1, 1166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(196) - sqrt(196))\/(sqrt(252)*-1).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f. Let p = 30 + -28. Suppose 2*z + 3*z = -3*a - 2, p*a + 18 = 5*z. Let w(g) = -g**z - 5*g**2 + 4*g**2. Calculate d(w(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 155501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/89, 3\/4, 108, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392687 is divided by 825.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 10:32 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 145\/58*2\/5. Let h be (6\/(-51) - 1) + z. Which is the nearest to h? (a) 0.5 (b) -2\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36.9 + -37. Let m(d) = d - 3. Let f be m(0). Let t = 1 - 1. Which is the nearest to o? (a) f (b) -0.6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 211, 2\/9, 1.6, 1, 4, -4, 1\/6 in descending order.\nAnswer: 211, 4, 1.6, 1, 2\/9, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*p - 130*p - 175*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 29*v - 4*v)*(-3 - 3 + 5)*(5*v**2 - 2*v**4 - 5*v**4 + 5*v**4).\nAnswer: 64*v**5 - 160*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002101 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 2\/5 (c) -0.16 (d) 0.027 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17541408 and -3.7.\nAnswer: -64903209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-35) - 2\/5)\/((-12)\/(-10))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 7740*d**2 - 170643*d - 939202.\nAnswer: (d - 7762)*(d + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Suppose 2*f - 4*f + 3 = j, 5*f = 0. Let d(l) = l**2 - 3*l + 1. Calculate j*o(r) - d(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 divided by -1.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*m + 56 + 27*m**3 - 48*m - 8 wrt m?\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 28 - 115*b - 4 + 60*b + 52*b. What is j(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2337409 = 3*a + 2*u, -3*a + 665680 + 1671737 = 3*u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 5*m**4\/8 - 11*m**2 - 6. Let h(w) be the second derivative of t(w). Let f(a) = -6*a - 215 + 5*a + 215. Calculate h(f(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*j + r, 47 + 81 = 5*j + 3*r. Suppose -4*k + j = k. Let o(l) = 4*l**2 - k*l**2 - l**2. Let b(p) = -p**2. Determine b(o(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z - 2*b, 5*b - 2 = -3*z - 11. Let w be (3\/2)\/((-3)\/(-4)). Suppose -w*o - 1 = o + z*c, -o + 3*c + 18 = 0. Let d(j) = 3*j - 3. What is d(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 3. Let z = 70 - 46. Let a be 105\/z + 6\/(-16). Give h(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324057745.\nAnswer: 5, 11, 29, 137, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1\/26, -9\/5, -3, -8?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1464*n**3 + 757*n**3 + 698*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 + 6*w**2 - 12*w**2)*(-5*w**3 - w - 2*w + 6*w**3).\nAnswer: 4*w**5 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/5 - 308*t\/5 + 304\/5.\nAnswer: 4*(t - 76)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 472 and 6?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, j: 7}. Give prob of picking 4 q.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 96 - 103 - 58\/(-8). What is the smallest value in -3, v, 1.8, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 786375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 32 = -17*l. What is the closest to l in 2\/13, 10, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00132249 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 276906*f - 6389744403.\nAnswer: -3*(f + 46151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 7) to base 11.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 4. Calculate the remainder when 29 is divided by l(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8916061 to four decimal places.\nAnswer: 1.8916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44400 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3966*w + 33637.\nAnswer: 3966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 5, 109, -4, -5, 1, -2 in decreasing order.\nAnswer: 109, 5, 1, -2, -4, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.93 - 0.07. Let r = -9 - k. Sort r, 4, 2\/5 in ascending order.\nAnswer: r, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4839 - 24616.\nAnswer: -24616.4839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Let z = w + 5. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/30)\/((77\/(-21))\/11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - f - 2*f)*(5 - 3*f - 5) + (5*f - 4*f + f)*(2988*f - 7212*f + 628*f))*(-f + 4*f - f).\nAnswer: -14378*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0*j**4 + 0*j - 2 - 1\/20*j**6 - 23*j**2 - 11\/60*j**5. Find the third derivative of v(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*i - 92*i = 3139 - 71439 for i.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/12 + 37*c**3\/6 - 51*c**2\/2 - 141*c. Let y be f(35). Solve g + 2*r - 6*r = -y, 0 = 3*g - 3*r + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 1 = -128*m + 140*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:23 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/5)*j*j*j*j\/j**22*(j**(1\/2)\/j)**(2\/83) assuming j is positive.\nAnswer: j**(-7392\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 783 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4736 - -4736. Let v = 0.006 + 12.994. What is the closest to 2\/5 in t, -2\/9, -3, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 10 = 3*k, 12*t + 1517*k = 1521*k + 56 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 6*r - 5. Let t be a(-5). Let f(g) = 21*g**2 - g. Let u be f(1). What is the greatest common divisor of t and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 16*n**4 + 26*n**3 + 12*n**2 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43911875.\nAnswer: 5, 7, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 6*v + 1. What is r(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2158470 and 90970?\nAnswer: 23743170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 37*u - 8. Give v(32).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 350\/4*(-7287)\/(-102018).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 186 - (2\/9 + 60\/(-27)). Let n = w + -41. Suppose 9*p = 16*p - n. Sort p, 1, 4.\nAnswer: 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 4*w. Let q be x(-3). Suppose 0 = 4*b - 0*b + 8. Let j be 3\/q*b + 1. Solve m = -j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3100741639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 11*g = 4*j + 1096, 2*g - 528 = -3*j. What is the greatest common factor of g and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**2 - 7*s + 8. Let y(u) = -6*u**2 - 6*u + 8. Let j(l) = 5*v(l) - 6*y(l). Let a = -40 + 36. Let z be j(a). Solve 0 = z*f + 4 - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 21 = 29. Suppose 18 = 4*d - f, d + 5*f = 5*d - v. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35389\/2 - ((-5)\/2 - -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*m + 456*m = 3*k + 13, 0 = k + m + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -23.7 (c) -2 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l - 1316 + 1962 = 0 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + 3 - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 31*t + 102 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 73618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -550.74 + 110.74. Is 11 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942702.6 millennia in decades?\nAnswer: 94270260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 6*p + 115 = 0, -4*p - 385 + 461 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2107.663km to micrometers.\nAnswer: 2107663000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpt when three letters picked without replacement from ttbtpbbbbbtbtpt?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -14. Let t = -24 + f. Let r = -32.981 - t. Round r to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 836609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 767 and 65?\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*t**2 - t**4 + 2*t - 14*t**2 - t**3 + 2 - 20*t**2 as r*t**3 + f*t**4 + x*t**2 + l*t + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-5)\/(-3)*3. Let f(m) = m**2 + 6*m + 7. Let p be f(-5). Suppose 0 = p*h - g - 1. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 14*u + 15. Let v be z(14). Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13725387.\nAnswer: 3, 13, 73, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112544?\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 14. Suppose 0 = -2*p + h*p. Solve 0 = -3*s + 5*s - b - 11, p = -5*s + 5*b + 40 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 - -253.6. Let w be (-2 - 241) + 1\/1. Let u = 1698\/7 + w. Is u at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 4 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11860*j**3*u**3 - 1180*j**3*u**2 + 3*j**3 - 2*j**2*u wrt u.\nAnswer: -71160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91923134.\nAnswer: 2, 23, 1998329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 4, n: 2, k: 2, z: 5}. What is prob of picking 1 n, 1 z, and 1 s?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4 + 264*y**3 + 7080*y**2 + 37536*y - 541008 = 0.\nAnswer: -34, -26, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 29 + 5. Let w(t) = 4*t - 14. Let u be w(r). Solve -1 = v - q - u, 5*q + 35 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:14 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6. What is the smallest value in 0, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06758892 to 3 dps.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 + -253.9777. Let m = x + 0.3777. Which is the closest to 3? (a) -2\/3 (b) 0.1 (c) 0.5 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -911*y**2 - 6. Let w(r) = -333*r**2. What is k(w(c))?\nAnswer: -101019879*c**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 3}. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.54 at least -5674\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 7:47 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12410 is divided by 2480?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.289566981 rounded to two decimal places?\nAnswer: 3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1596 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 13*p + 16. Let i be u(4). Solve l + 2*l + i = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26184178 to the nearest one hundred thousand.\nAnswer: -26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180927 + -101227. Round a to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 133 = -5*j - 20*o, 8 = 4*o. Calculate the remainder when 344 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*3\/2. Let y(j) = -2*j**2 + 12*j - 23. Let l(c) = -c**2 + 3*c + 57. Let n be l(9). Let f be y(n). What is the second smallest value in 0, f, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -850, -1698, -2546, -3394, -4242, -5090?\n\"Answer: -848*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 39 - (-5 + 2 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44576868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6069989*l**5 + 58*l**4 - 577978157*l**2.\nAnswer: 364199340*l**2 + 1392*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 1. Let f = -102 + 106. Suppose 7*d - 5*d - f = 0. Suppose 3*r - r = 4*i + 18, 5*i + d*r = 0. Calculate w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/130)\/((-5)\/(-25))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 113.\nAnswer: -1469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 17477470549?\nAnswer: -17477470548.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110*x - 1035*x - 66*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5 (c) -7909 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 60*l + 1051. Calculate b(-14).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 986 and 254720775?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167 + 169. Solve p*q + 6 = 0, -7*i + 3*i - 3*q = 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243.15*5\nAnswer: -1215.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690452 is divided by 230112?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 22*q + 66. Suppose -o - 4*i = -0*i - 373, q*i = -4*o + 1453. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155934167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yymmymmymy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w - u + 1578 = 0, 3*w + 5*u + 930 = 0. Let m be 9*(-7)\/(w\/10). Solve -3*h = -5*v - 6 - 12, -1 = 5*h + m*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - f + 4. Determine l(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*sqrt(9)*-1)\/(3*(-1*sqrt(3) + sqrt(3) - sqrt(3))) - ((5*(sqrt(108) + 2 + sqrt(108))*6)**2 + -1).\nAnswer: -392398 - 43198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 76, -832, -2030, -3518, -5296?\nAnswer: -7364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.936 + 16.236. Let y = -9.05 - -9. Let q = y - -0.07. Which is the nearest to 1? (a) -1 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.52 and -2.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3260 less than -3800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 13) to base 12\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45068 - 29412. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 68, 178, 358, 638, 1048, 1618, 2378, 3358?\n\"Answer: 5*p**3 + 5*p**2 + 60*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 13. What is u(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1173064 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4923 (base 16) to base 5\nAnswer: -1044343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 2718*k**3 + 24660*k**2 - 41154*k + 19215 = 0 for k.\nAnswer: -915, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 47) + 9 + 21 + -40 + (1 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.44 + 99.76. Let j = 1.8 + s. Let t = -78.3 + j. What is t rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 - -12.7. Let v = l - 10.125. Round v to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48, -128, -234, -378, -572, -828, -1158, -1574?\n\"Answer: -2*u**3 - u**2 - 63*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104234059*w**2 - 92775615*w wrt w?\nAnswer: 208468118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -173*u - 13. Let a(l) = 4*l + 2. Calculate -6*a(p) - x(p).\nAnswer: 149*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbmm when four letters picked without replacement from bbmbmmbjbzzb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1503 - 1559.76. Round a to 0 dps.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 770, 766, 760, 752?\n\"Answer: -v**2 - v + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/117 - 2*(-10)\/48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5932734 rounded to 2 dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:53 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2)*j*j*j)\/j)**(3\/17)*j\/(j**(2\/3)*j*j)*j\/j**(-9) assuming j is positive.\nAnswer: j**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 + -1)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66573*i**5 + 1663*i + 32 wrt i.\nAnswer: 1331460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42160 - -27?\nAnswer: 42207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyaocwoa. Give prob of sequence do.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 305, 5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -q**6\/24 + q**5\/12 - q**2\/2 + 4*q - 39. Let w(i) be the second derivative of k(i). Factor w(c).\nAnswer: -5*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, i: 7}. Give prob of sequence llil.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 632.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - i - 10 = 5*k, 26*i - 810*k = -807*k + 29 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15731 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -18*k**2 - 16*k - 28. Calculate w(-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 8*h - 37. Give l(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2041019 divided by -479.\nAnswer: 4261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - k**2 + 3*k**2 + (-3*k + 5*k - k)*(-3*k - 2*k + 3*k) - 2 + k**2 + 0 - 2*k - 4*k**2.\nAnswer: -4*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 7*n - 2*y - 4 = 0, -20 = 5*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*n = 128*n - 308*n + 13515 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -8 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 - ((9 - 4) + -11 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a + 70*a - 63472 = -11992. Calculate the remainder when a is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21980000 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 39*v**2 + v. What is the remainder when a(1) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.412455*3.\nAnswer: -1.237365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqlw when four letters picked without replacement from {l: 5, q: 5, w: 1}.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1836 - 1799. Suppose 5*r = -4*t + 71, -4*r + 39 = 2*t - 5*r. What is the second derivative of -t*f + f**2 + l*f - 19*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221261.8 nanograms in micrograms?\nAnswer: 221.2618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3 - 59*f**2\/3 + 190*f\/3 - 24 = 0.\nAnswer: -9, 4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 8*q**2 + 2*q + 2. What are the prime factors of c(10)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 823 + 198. Calculate the remainder when b is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + (-23)\/(-3). What is the greatest common factor of 24 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -739 - -739. Suppose -9*n = 5*y - 12*n - 188890, m = -5*y - 5*n + 188930. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2978*u**2 - 3*u + 3104*u**2 - 6196*u**2 - 5*u + 10*u - 4*u.\nAnswer: -114*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 737\/83 - 615319\/68558. Find the common denominator of i and 91\/590.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 31*j**2 - 104*j + 2. Let o be n(-3). Let u(s) = 2*s**3 - 17*s**2 + 8*s - 10. What is u(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 13*j - 14. Let w be v(7). Is 4 a factor of (57 + w)*1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 16 = -7*w. Sort -3, -123, w in descending order.\nAnswer: w, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 6:58 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6 - (-3)\/(-18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 15*s**3 + 11*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 705.66 + -699. Let y = a + -6.69. Let v = 92\/147 - -2\/49. What is the closest to y in v, 2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-2 + 5 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322113332 (base 4) to base 16\nAnswer: -3a5fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 143371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**8\/672 - k**6\/240 + 17*k**2\/2 + 10. Let o(l) be the second derivative of w(l). Factor o(y).\nAnswer: y**3*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + 2*p**3)*((-p + 1 - 1)*(-p + p + p) - 4*p**2 - 2*p**2 + 5*p**2 - 2*p**2 + 21*p - 21*p + 6).\nAnswer: -8*p**5 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c. Let x be b(1). Suppose 3*q - x = 23. Calculate the remainder when ((-140)\/(-6))\/(10\/15) is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 839108?\nAnswer: 839108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 3. Let w(c) = -c + 9. Let f be w(7). Let k be b(f). Suppose 3*s + 26 = 2*o, -k*o - 23 = -8*o - 3*s. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1340640 and 157\/1008.\nAnswer: 1340640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43463702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3696361*x**3 - 1306*x - 64 wrt x.\nAnswer: -22178166*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891*j - 1146 = 17565 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 287790000 rounded to the nearest one million?\nAnswer: 288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 538.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/2 (b) 10 (c) 1\/17853 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 5. Let b(c) = 2*c**2 - 8*c - 142. Let d be b(0). Let a = d + 157. What is the highest common divisor of a and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(5) - sqrt(5))**2 - (sqrt(5) - (2*sqrt(25))\/sqrt(5))) + (sqrt(220)\/sqrt(4)*-4)\/sqrt(11).\nAnswer: -3*sqrt(5) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1111\/7 + 159. Let p = 1.012 + 0.988. Which is the third smallest value? (a) 0.06 (b) n (c) p (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1365 and 84175.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 13*v**4\/3 - 5*v**3\/6 - 7*v**2\/2 - v + 25. What is the tens digit of b(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6541, -52124, -175825, -416704, -813821, -1406236, -2233009?\nAnswer: -3333200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -12001113?\nAnswer: 12001113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = s - 2*s. Let b = 16 + s. Solve -3*f + 5 = b*t - 14, 10 = 5*f + 4*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30981*i**4 + 136*i**3 - 1278*i + 3153?\nAnswer: -371772*i**2 + 816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17517 + -10031. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2. Let g = -10 + 4. Let t = -5 - g. Let k(f) = 0 - 1 + t + 2*f. Give c(k(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*g + 14 = -b, -4*g = -3*b - 2. Let m = -2 + b. Suppose 4*n = -m*n. Solve n = -5*i - t, -4*t - 10 - 14 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4*56\/(-7). Suppose -2*s - 4 = 0, q*o - 3116 = -3*s + 6*s. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49129.5 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3684, 3686, 3690, 3696, 3704, 3714?\nAnswer: 3726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose k*u - 19 = 69. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2\/3 + 143825848*q\/3 + 47941948 = 0. What is q?\nAnswer: -35956461, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-42)*(9 + (-583)\/22). Factor -1\/6*f + 0*f**3 + 1\/6*f**o + 0 + 1\/3*f**2 - 1\/3*f**4.\nAnswer: f*(f - 1)**3*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*p - 17, -52*p + 4*v = -53*p + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -103*j**7\/42 - 97*j**4\/12 - 2*j - 4. What is the third derivative of w(d) wrt d?\nAnswer: -6180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = k - 7, 0*m + 8 = -k + m. Let j be (-1)\/k + 507\/65. Suppose 6*r = 10*r - j. Solve -10 = 5*i + 2*n, -r*i - 4*n - 26 = -6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168830208 and 3297465?\nAnswer: 844151040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.810769667 to 2 decimal places.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1098, 1178, 1262, 1350, 1442, 1538, 1638?\n\"Answer: 2*z**2 + 74*z + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3523398 divided by 19?\nAnswer: 185442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkklknntktkktknn. What is prob of picking 2 n and 2 t?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 34*h - 2. Let w be m(-19). Let a = -75 - w. Solve 0 = -g + a*d - 8*d + 8, g = 2*d + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 463*s + 458*s = -12621, 2*s = -2*p + 12636. Are 6323 and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 6. Let n(l) = 10*l + 55. Let x(a) = a**3 + a**2 - 2. Let t be x(-2). Let m = 166 + -68. Let g = 153 - m. What is g*q(c) + t*n(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 77*s + 335. What is u(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h + 4*c, -4*h + 4*c + 16 = -0*h. Suppose h*g - 20 = -3*g. Solve w - 4*l = 5, 7 = -w - 4*w + g*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(275))**2 - (sqrt(11) + 1*sqrt(176)).\nAnswer: -5*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - g - 15 = -14*z, -z - 6 = -2*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 10. Suppose -h + u = 4*h. Let w be (0 + (-2 - -3))*h. Solve f - 5 = -w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:24 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2073*a + 22803. Determine h(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39094 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (4 + -10 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3\/3 + 1328*m**2 + 813748*m\/3 + 10791200 = 0. Calculate m.\nAnswer: -123, -56, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**8*u)\/(u*u**(3\/17)))**29)**(1\/59))**45 assuming u is positive.\nAnswer: u**(195750\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*8.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00334 to five dps.\nAnswer: 0.00334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 6*w - 9*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/(-20))\/((-7)\/(-28) - (-723)\/(-2940)) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*k - 180 = -378*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22729412+-9415\nAnswer: -22738827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeqyeqyqm. What is prob of picking 1 y and 3 e?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22542\/8 + 1\/4. Let v = -377711 - -2283127\/6. Let j = o - v. What is the common denominator of 93\/10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2938 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 394, 2233, 7010, 16201, 31282, 53729?\n\"Answer: 246*g**3 - 7*g**2 + 138*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2024)\/(-660))\/((-421314)\/(-1290)).\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116600 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybzy when four letters picked without replacement from {b: 2, z: 6, n: 2, l: 1, a: 1, y: 7}?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r**4 - r**3)*(-6 + 2*r + 6) + (3*r**5 - 4*r**5 + 0*r**5)*(-3 + 7 - 3) - 2*r**5 + 2*r**5 - 2*r**5 + 882*r**4 - 882*r**4 + 30*r**5.\nAnswer: 25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5}. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -30, -133, -294, -513, -790, -1125?\nAnswer: -1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287 + -287. Suppose -v - 5*c - 10 = u, -5*v + 2*c + 40 = -3*c. Put v, -4, -17 in decreasing order.\nAnswer: v, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 1. Let i be q(-1). Let y be i\/(4 + (-10)\/5). Solve -4*a + 3*n = 0, y*n - 27 = 5*a + 3*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 5 - 6*g**2 + g**2 - 5 to the form n + h*g + q*g**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4981 - 2046. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.68 = 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/7 - (-12)\/126. Which is the nearest to s? (a) 4 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506605834 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 3*d**5\/20 + 15*d**4\/4 - 750*d**2 + d - 48. Suppose b(l) = 0. Calculate l.\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 44 = -2*c. Let m = 637 - c. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313 - 441. Is i smaller than -127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -28 (c) 5 (d) -1\/6 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3\/8, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = w - 1, -52*w = -51*i + 54*i + 2 + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273029 + 1092117\/4. Let 1\/2*m**2 - 5\/2*m**3 - v + 5\/4*m**5 - 1\/4*m**4 + 5\/4*m = 0. Calculate m.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 12.276387 months?\nAnswer: 0.00102303225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = t + y + 2*y, -543 = 3*t - y. Let j = t + 201. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**2*l)**22*(l**2)**(7\/4))**(-34) assuming l is positive.\nAnswer: l**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2 - 50. Let m = -469 + 325. Let g = m + 213. What is the remainder when g is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1414007 nanoseconds in microseconds?\nAnswer: 0.0001414007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 42. Let y(f) = -12*f**n - 1 + 30*f**3 - 2*f - f**2 - 13*f**3. Calculate y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (5 + sqrt(425) + 0 - (sqrt(425) + 1 + 4)) + 4)**2*-3.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*m - 57537 - 47825 = 0 for m.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/11 + 1940*v\/11 - 214122\/11 = 0 for v.\nAnswer: 127, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 + 16*p - 5*p**2 + 5*p + 13*p**3 - 15*p**3. Let s(t) = -6*t**3 + 7*t**2 - 31*t. Determine 7*o(y) + 5*s(y).\nAnswer: -2*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 69. Let b = -42 + y. Let l = b - 3. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-228)*-2)\/(1*(-4)\/8)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, -88, -361, -734, -1201, -1756, -2393, -3106?\nAnswer: -3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/84*(-252)\/576)\/((-7)\/(-16))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51390 divided by 10\nAnswer: -5139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/30 (b) -0.02 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/26520 and 157\/468.\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4 + 282*h**3 - 4242*h**2 + 15118*h - 11160 = 0.\nAnswer: -155, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - h**2 + 0*h**2)*(-597 - 241 - 1009)*(2 - 2*h**2 - 2)*(h + 2*h - 4*h) - 3*h + 2*h**5 + 3*h.\nAnswer: -3692*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62817552 divided by 4?\nAnswer: 15704388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1527674 centuries in years?\nAnswer: 15.27674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.3. Suppose -3*t - 15*d + 10*d - 4 = 0, -2 = 5*t + 6*d. Which is the second biggest value? (a) -2\/21 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/(-645)*626\/2817\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3415 and -4.\nAnswer: -3419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpppd. What is prob of sequence dpd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**12*n**(-47) assuming n is positive.\nAnswer: n**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:38 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k + 1. Let y(x) = -13*x**2 - 10*x + 3. Let u = 15 + -9. Let w(n) = u*d(n) - y(n). Is 23 a factor of w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 6*t**2 - 3*t + 6. Let l be x(-5). Let p(f) = -3*f + 2. Let o(h) = h**2 + h - 4. Calculate the lowest common multiple of p(l) and o(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyjj when four letters picked without replacement from xxxxxxxxjyjjxxjxxjyx.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 + 33*r**3 - 2*r**3 - 7*r**3 - 9*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8835861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*r**5 + 24*r**5 + 19*r**5 + r wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*((-544)\/30 + 18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 35 + 85. Solve -l*x + 14*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -6*k - 40, -19*o + 17*o + k + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/21 - -2)\/(72\/336). What is the nearest to -1 in 1\/4, -6\/7, i, -1\/2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201011222200020 - 2?\nAnswer: -1201011222200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-3*5)\/(-1*(sqrt(11) + sqrt(44)\/sqrt(4) - sqrt(11))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076990568 rounded to 4 dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-836 + -12)*1*(-1)\/2. Suppose -a = 4*k - 8*k. Suppose -p + 2 = 0, 5*r - 47 = 5*p + 3. Calculate the remainder when k is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, u: 4}. What is prob of picking 2 u and 1 c?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*b + 4*s, 3 = 4*b - s - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from uuttuuauuuauuauutuu.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(320).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 3*r - 3*r + (0*r + 2*r + 2*r)*(3 - 1 - 4))*(6 + 6 - 5) as f*r + n and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*t**4 + 19*t**6 - 168*t**2 - 6*t**4 - 13*t**4 - 60*t**6 wrt t?\nAnswer: -4920*t**3 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbxhlwllbl. What is prob of sequence hb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 340 = 100. Let w = v - -83. Suppose 0 = -2*l + w*l - 3*l. Sort l, 2, -2, -4.\nAnswer: -4, -2, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(-12)\/(-14)*2\/6. Suppose 0 = -5*c + 4*s - 0*s - 3, -y*s = -4. Does 2\/141 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7123 or -7086?\nAnswer: -7123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*9 - 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:10 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123950423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001977153579 to seven dps.\nAnswer: -0.0019772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1455 - -1322.3. What is r rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 + 4)*(11*y + 13*y - 5*y)*(-y**3 + 0*y**3 - 3*y**3 - 2) in the form o + t*y + q*y**3 + n*y**2 + j*y**4 and give j.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 + -11.52. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -117 - -95 - (101 - 2)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/8 + 5\/20. Suppose 0 = r*s + 5*v - 61, -5*s - 3*v = -51 - 24. Let b be -3 + (-27)\/s + 3. Which is smaller: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36017\/6357 - -2\/2119. Calculate the common denominator of p and 8\/309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -11. Let t = b + -6. Suppose 5*r = t*a + 177, 0 = -2*r + 2*a - 3*a + 76. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 + 30445?\nAnswer: 30333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-1)\/(-125) - (-5230)\/250.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16155393 is divided by 72772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 223*t + 14412. What is r(-70)?\nAnswer: -1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 8. Let m be z(5). Let f be (m\/(-6))\/(5\/10). Calculate the common denominator of 47\/16 and (f\/24)\/(4\/56).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z - 134 + 154 = -1000 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 8*b**2 - 8*b - 3. Let s be i(9). Let z be 1 + 1 - (1 + 0). Let y = z + s. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/18 or 3?\nAnswer: 31\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - 4.98. Let y = -8742 - -8738. Sort 2\/21, a, y in ascending order.\nAnswer: a, y, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-63)*-3)\/((-5)\/(-10)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2*u**2 - 3*u + 2. Let s be i(-3). Suppose -s*g = g - 3*t - 15, -3*g + 4*t + 19 = 0. Solve g = -3*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + b)*(5 + 0 + 0) + 5 - b - 5.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*h = 415, -2*r - 8*h + 158 = -6*h. Let c be (r\/(-6))\/(-9)*(-16)\/(-12). Solve 6 = -c*z - 2*t, 0 = -5*z - 0*t - t - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255 (base 8) to base 14.\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9972264 a multiple of 4604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t + 25. Let a be b(-10). What is the greatest common factor of a and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 37)*(-3*a**2 + 4*a**2 - 3*a**2).\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(105))\/sqrt(3))\/(sqrt(252)*-1).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60877 is divided by 839.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -26*p. Let o(z) = 26*z. Determine o(x(a)).\nAnswer: -676*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/688)\/(-90 + 15246\/168))\/((-3)\/(-8))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -10. Solve r - 5*m - 10 = 0, 3*m - 2*m = 4*r - l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 6*u**3 + u**2 + 6*u**3 + 6*u**3 to the form g*u**3 + d*u**2 + b*u + h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 25*z + 3*z - 408 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153113\/221 - 9012\/13. What is the biggest value in d, 1, 2, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 19386 - 1442. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 = -5*w, -5*w + 0*w + 5 = 5*j. Solve 2*d + 3 = -w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -0.12941.\nAnswer: -0.62941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -519*w**3\/8 + 94983*w**2\/8 + 47199*w\/4 - 138 = 0. What is w?\nAnswer: -1, 2\/173, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 17, 22, 25?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j - 9*j + 9*j + (-1 + 1 + 2)*(-2*j + 4*j + 2*j).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.1. Suppose -8 = 4*d - 4*i, -2*d + 2*i + 8 = 4*i. What is the closest to q in d, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-2*sqrt(152))\/sqrt(8)*-1)**2 - ((sqrt(171) + (-1*sqrt(171) - sqrt(171)))\/sqrt(9) + 1)**2).\nAnswer: 2*sqrt(19) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 1. Let t(n) = -3*n + 1. What is 3*a(f) - 5*t(f)?\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/1014*(-2)\/2.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = s, 2*y = -y - 2*s. Suppose -5*a + 5*j - 10 = 0, -5*a - 2*j - 42 = j. Let r be (y + -3)*32\/a. Solve -r = 2*z - 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d**2 + 5*d + 4. Let y be m(5). Suppose -5*c + 60 = 5*c. What is the lowest common multiple of c and (-518)\/y*1*3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11777*f - 2660 = 11682*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.42 and 0.04.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 10*w**2 + 12*w + 30. Let k be y(-9). Find the third derivative of 3*l**3 - 101*l**4 + 66*l**4 - 38*l**2 - 3*l**k wrt l.\nAnswer: -840*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -898198, -1796369, -2694540, -3592711, -4490882?\nAnswer: -5389053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -v + 25, -2*l - 5*v = -2. Let i(q) = q**2 + 8*q - 7. Let s be i(l). Suppose -2*w + 0*w = 3*c - 16, -s*c + 8 = w. Solve -f = -5*f - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000270149765 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.518 + 3.518. What is the smallest value in v, -25\/4, 0.4?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92417, 369695, 831825, 1478807, 2310641?\nAnswer: 3327327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/7*-6*7. Let w = -3 + r. Suppose 2*t + w*t - 75 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.14.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:46 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572 is divided by 260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*r**2 + 133*r**2 - 192*r**2.\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*h - 39, 0 = h + 65*l - 60*l - 12. What is the remainder when 39 - (0 - (-1 - -2)) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 51. Which is the closest to 1? (a) 0 (b) o (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1293 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.84 + -0.64. Which is the nearest to 0.58? (a) z (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*v + 17035 + 56373 = 1164*v - 91*v for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 17*r**4 + r**3 + 18*r**4 + 3*r**2 - r**2 - 3 to the form q*r**4 + n + a*r + m*r**2 + y*r**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 385 = j - 396, 3*t = -5*j + 3905. Suppose -2*g = 9*g - j. Calculate the remainder when 494 is divided by g.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 266*j**3 - 10912*j**2 + 378*j - 5431. Determine h(41).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiyyiyyiiyyyyiiyii?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-8 - -4*(-7)\/14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27918 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 p when three letters picked without replacement from prrrrrrprr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5434, 20863, 46584, 82597, 128902, 185499, 252388?\nAnswer: 329569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-14))\/((-18)\/(-4) + -4). Let f be 2\/8*-2*-4. Factor d*k**f + 2\/7 + 4\/7*k.\nAnswer: 2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 136, 3, -6\/13 in ascending order.\nAnswer: -1, -6\/13, 3, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*v + 133*v + 3 = 0. Let u(k) = 2*k. Let f be u(4). Let d = f + -2. Solve -d*m - 9 = -v*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 23*j. Let d be f(0). Let c = 22 - 15. Solve 3*z - 8 - c = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 12 - (-23 - -17 - 18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2 - 2*w + 3*w + 5*w - 5*w + w**2. Let l be n(1). Sort 1, l, 61 in ascending order.\nAnswer: l, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1704 (b) 3\/8 (c) 2\/15 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 6. Let m be b(7). Let y = 0 - m. Let a = y - -1. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -57.1. Which is the closest to p? (a) -7 (b) -0.05 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33028 and 36862 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 325*k. Let n(w) = 51*w - 26*w - 3*w - 23*w. Determine c(n(f)).\nAnswer: -325*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*h + 130 = 7*l, -3*l + 5*h + 115 = 0. Let d be (21\/14)\/((-2)\/(-20)). What is the greatest common divisor of d and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9781 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 483 in 0.3, 3\/4, -2, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/75)\/((426\/15)\/(-1)). Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*i - 6. Suppose 2*d = -0*d + i. Suppose 0*q + 12 = d*q. Solve f + q*r = -r - 20, -4 = r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226 divided by 75?\nAnswer: -1226\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.905 + 64. Round g to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 869 + 2444. Calculate the remainder when z is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*(y*y\/(y*y**(-1)))\/y)**(-34) assuming y is positive.\nAnswer: y**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*o**3 - 2*o - 40*o**3 + 142*o**3 - 49*o**3.\nAnswer: 2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*v, 157 = 5*b - 10*v + 172 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3010 - 3010.026466. What is f rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 - m + 1. Let x(d) = 2*d**2 - 29*d + 15. Let f be x(14). What is a(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6887 and -7.\nAnswer: 48209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89624 - 84324 = -212*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13900 divided by 100?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 913302506 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*f - 48 = 0, -286*f + 15 = -4*k - 289*f. Let m(o) be the first derivative of 8\/5*o + 3\/5*o**2 - 25 - 2\/15*o**k. Solve m(u) = 0 for u.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1298 - 1300. Let w = 2 - 7. Let j be (w\/(-1) - 3) + y. Solve j = -4*b + 3*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -150, -430, -896, -1548, -2386, -3410, -4620?\n\"Answer: -93*f**2 - f - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87\/7 + 181\/14. Let l be 547\/(-5) + 1\/1*3. Let u = 106 + l. Which is the nearest to z? (a) 0.3 (b) u (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220110112 - 2101121?\nAnswer: -11222212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -143713?\nAnswer: -143716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2 - 3*t. Let u(g) = 8*g**2 + 2*g. What is 2*c(y) + 3*u(y)?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -104455551 (base 6) to base 15\nAnswer: -27972a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100512851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 15*x - 32. Let j be t(-12). Suppose 0*u - u = -j*c - 25, 0 = -2*c. What is the remainder when ((-276)\/2)\/(-3) - -2 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1067*x. Let q(b) = -10*b**2. Calculate f(q(u)).\nAnswer: -10670*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 17 + 13*c)*(4*c**2 - 2*c**2 + 0*c**2) + (-4 + 2*c + 4)*(0 + 0 - 3)*(1 + 2 - 2)*(-9*c**2 + c - c) to f*c**3 + l*c + t + a*c**2 and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 8:51 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78371 (base 12) to base 5.\nAnswer: 20100433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0802 - 0.0285. Let v = 0.047 - q. What is v rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 221, 552, 1013, 1604, 2325?\n\"Answer: 65*m**2 + 6*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 9*s**2 + s - 9. Let n be g(9). Suppose 3*k + 3*x = -k + 47, 4*k - x - 27 = n. Suppose 0*o + k = 2*o. Put o, 3, -4 in ascending order.\nAnswer: -4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 810 and 31371570.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5*d**3 + 22 + 5.\nAnswer: 5*d**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*g + 7 = 93*g. Let f(m) = 2*m**2 - g*m + 2*m + 5*m. Let d(q) = 4*q**2. Calculate d(f(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 13704*p**2 - 926804*p + 913104.\nAnswer: -4*(p - 3357)*(p - 68)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 3*v**2 - 2*v + 2. Let b be z(4). Suppose -5*g - b = -i - 4*g, -i + 2*g = -15. Suppose 0 = -i*x - 8 + 68. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -33, -4 in descending order.\nAnswer: 2, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (7 - 5) + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**3 + 0*s**3 + 9*s**3 + 9*s**3 + 6*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Let h = u + -2. Suppose -2*j + 10 = h, 0*x - 10 = -x - j. Solve 0 = w - x*k - 31 + 2, 4*k = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4038*d - 1483*d - 445*d + 3444*d = -361010 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5)*(-8 + 0 + 1)*(5 + 6 - 2)*(-2*u + 0*u + 4*u) to the form x*u + s and give x.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-924)\/(-84) + (-1 - -7573).\nAnswer: 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 8. Suppose -5*x + 1 + 18 = -d, l*d = 2*x + 2. Suppose 0 = -7*s + d*s + 6. Solve -5*w + s = -g, 5*g + 5 + 3 = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:58 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(50 - 57 + 90)*(-3*x + 2*x - x)*(0 - 2 + 1)*(1 - x - 1).\nAnswer: 166*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (0 - 5)) + (17 + -33 - 88) + -2\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4536238174.\nAnswer: 2, 13, 29, 97, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31181987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90751, -90196, -89641, -89086, -88531, -87976?\n\"Answer: 555*w - 91306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 17*x - 12. Let k(h) = 5*h**2 - 69*h - 47. Let z(m) = 9*j(m) - 2*k(m). Let i be z(-14). Suppose 0*a - 5*a + 4395 = i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-782\nAnswer: 469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -329?\nAnswer: -329.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4*r + 61 = -3*i, -39*i + 12*i + 675 = -79*i - r for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-490))\/(-1)*22\/55\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(((-114240)\/42)\/(-32))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 12559*l\/2 - 157728481\/4.\nAnswer: -(l - 12559)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2 + (3 + 0 - 1)*(-4 + 5 + 1) + 13 - 11 + 8)*(22 - 16*o**2 - 22) to the form c*o**2 + v*o + h and give c.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2 - -2234?\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083075547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*r - 59*r = 3*m + 9, -r - 14 = 11*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 519591.4 days in minutes?\nAnswer: 748211616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 116 = 146 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 15 = -9*c. Suppose 3*a = 12 - 0. What is the second derivative of -2*d**a + d - c*d + 2*d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -48, -67, -88?\n\"Answer: -w**2 - 14*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2710 (base 9) to base 4\nAnswer: -133302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 654934397 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*a + 288. What is the common denominator of 53\/20 and 105\/a + (-9)\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166387 divided by -17?\nAnswer: -68611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.069 from -20145.\nAnswer: -20145.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 - 2*w**2 + 2*w**2)*(129 + 1041*w - 618*w - 504*w) to q*w**2 + m*w + x*w**3 + k and give q.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -7 + 24 - 11 - (-2 - (4 + 2))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**(-4)*p*p)*p\/p**(1\/5)*p)\/(p**(2\/5)*p*((p\/p**5)\/p*p)\/p))\/((p**(-2\/5))**28)**(-2\/5) assuming p is positive.\nAnswer: p**(-152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**(-16))**18\/((f\/(f\/f**0)*f\/f**(-1\/2))\/(f**(-2\/5))**(-47)) assuming f is positive.\nAnswer: f**(1133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 3*i**2 + i**2)*(i**2 + 0*i + 0*i) - 21*i**3 + 233*i**3 - 2*i**4 + i**4 in the form k*i**2 + j*i + y + u*i**3 + f*i**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 468 - 456. Suppose -15 = y - p. What is the closest to -0.1 in -5, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -726*b - 17. Let y(i) = -364*i - 10. Calculate -3*d(x) + 5*y(x).\nAnswer: 358*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by (280\/100)\/(2\/90)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 165*w**2 - 288*w - 8169. Determine o(167).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6115 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 17*f - 13 in the form i + u*f and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5 - 28*q**4 + 24*q**3.\nAnswer: 4*q**3*(q - 6)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*f - 26944, -2*x + 4*x + 26950 = 4*f. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152*14\/784*(-18)\/19.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-5 + 1)) + -2 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 18. Give z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 146437*k. Let t(d) = -330*d. Give t(s(p)).\nAnswer: -48324210*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53953*i**5 + 13*i**2 + 5871130*i wrt i.\nAnswer: -1079060*i**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -4241550230?\nAnswer: -4241550225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613734?\nAnswer: 2, 29, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300) + 2 + sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -1)*-1) - (-2 + sqrt(1300)*-1 + 2))**2.\nAnswer: 120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/18)\/(1\/(-10)). Suppose 0 = -4*k, -2*k = 2*f - k - 8. Solve v + 4 = f*u, -c*v - 5*u + 5 = -0*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/(3654\/(-14310)) + (-8)\/(-14). Which is smaller: v or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10 + 18)*(-2 + 2 - z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -cb3 (base 15) to base 9\nAnswer: -3836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1*(64\/2464)\/(1\/(-7)))\/14\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -25, 0, -0.2, 0.2, 237?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(2\/17)*n*n*n*n*n**(-1\/4))\/(n**0)**5*(((n*n**(-2\/9))\/n)**(-49))**20 assuming n is positive.\nAnswer: n**(136115\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1300, -4, 1 in increasing order.\nAnswer: -1300, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -280803957*b**5 - 167595669*b wrt b?\nAnswer: -5616079140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-14)\/l**(2\/13) assuming l is positive.\nAnswer: l**(-184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, q: 8, v: 2}. What is prob of picking 1 v and 1 q?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 3*l**2 + 3*l**2 - l + 0*l**3 + l**3 to the form a*l**2 + j*l + i + u*l**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 2*p**2 - 4*p + 1. Let m be y(-3). Suppose 0*q = q - m. Calculate the smallest common multiple of 1 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f - 26*f + 52052 = 0. List the prime factors of f.\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - n**2 - n**2 + 12*n**2 - 50.\nAnswer: 10*n**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q, -2*q + 98 = 5*i - 25. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 761454*t**2 + 1152603 wrt t?\nAnswer: 1522908*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 17, v: 1}?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442072\/32 + (-1)\/(-8)*10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 20853.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -54)*16\/288\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2 - 4*h + 1. Let s be r(-1). Let v be (-27)\/15*10\/s. Let o(x) = x**2 - 2*x - 6. Determine o(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15326221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16))\/((-42)\/(-36)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h + 10. Calculate the remainder when 3\/(-3) - (-35 + h) is divided by (-1)\/((-1)\/21) - 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2308.582 and -4?\nAnswer: 2304.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511 divided by 10101.\nAnswer: -73\/1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*w - 7, 0*x = 2*x - w - 19. Let n = x + -5. Suppose -4*k + 0 + n = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -116.6 (b) -5 (c) -3\/8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = x - u + 3, -2 = x + 2*u. Let a = 3 + 0. Sort a, x, -1 in descending order.\nAnswer: x, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108241 is divided by 128.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-198)\/(-5) - (-44)\/110 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 949*j - 944*j, -2*z + j + 0*j + 2 = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 + -157. Suppose -4*s + 160 - 72 = z. Solve 0 = -18*v + 7*v + s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4460 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6111.686 years to centuries.\nAnswer: 61.11686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 805 by 59.\nAnswer: 805\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -129, -3, 9, -5, -84 in increasing order.\nAnswer: -129, -84, -5, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547014 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 the value of -5 - -18 - (-5 + -1 + 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 933438 divided by 13\nAnswer: 933438\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 8*h - 3 = 0. Calculate the remainder when 137 is divided by (-8 - (h + -1)) + 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132 + 192. Suppose 0 = -3*a + 5*p + 51, -a = 3*a - 4*p - q. Let d = 17 - a. Solve -d*y - 12 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2551510 (base 6) in base 5?\nAnswer: -13422244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8342952?\nAnswer: 2, 3, 29, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v. Let y(s) = 74*s**2 + 12268*s. Calculate f(y(z)).\nAnswer: -370*z**2 - 61340*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4663*r + 64 = -4668*r + 4*g, -2*r + 58 = 6*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26286 is divided by 6568.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5\/3 - 1476*w**4 + 26462*w**3\/3 + 25076*w**2 - 344560*w\/3 + 82432 = 0.\nAnswer: -4, 1, 2, 7, 2208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 12 (c) 5\/2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319343?\nAnswer: 3, 439781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 18. Suppose 2*h = -b*k + 6, -2*h = 4*k - 5*h - 5. Solve 2\/11*n + 0 + 2\/11*n**k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 4879119115132.8?\nAnswer: 4879119115132.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18319481 and 34441.\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 3584*g\/3.\nAnswer: -g*(g + 3584)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 210, 202, 80, -186, -626, -1270?\nAnswer: -2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11220)\/(-990))\/((-5)\/(-30) - 1\/2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 11*k = -3*k. Solve 4*b = -4, -10 = 3*o - 2*b - k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.8, -2\/11, -1.76295?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 176 = 5*l, -t + 29455*l - 14732*l = 14724*l + 34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*c - 780*c = 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/3 + 85*c**4\/3 - 280*c**3\/3 - 65660*c**2\/3 - 548800*c\/3 + 614656\/3 = 0.\nAnswer: -14, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -6\/7 (c) 1\/256 (d) 411\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 1)*(c + 3*c + 0*c) + (1 + 0 + 0)*(2 - 2 - c) to h + i*c and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/1878 + -81089\/125826. Let u = a + 3233\/2010. Let b = -19441 - -155509\/8. What is the common denominator of b and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 1 d when three letters picked without replacement from ijwiijiswd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0*(21\/7)\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - -1*sqrt(200)))**2*3*6.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/13 and 41\/16258.\nAnswer: 211354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5319 and 457593.\nAnswer: 811312389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**2*v**3 + 3176*q**2*v**2 - 55*q**2*v - 3*q*v**3 - 6407367*v**3 + 95*v wrt v?\nAnswer: 18*q**2 - 18*q - 38444202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85691508.\nAnswer: 2, 3, 7, 1020137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 4539.\nAnswer: -13\/4539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 21 = -2. Let f be 6\/(-90)*87*l*-5. Solve -3*h = -f + 23 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 11*n + 7. Let l(j) = -520*j - 69. Is l(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6630\/850*140\/(-42).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1521823\/102120 - -1027\/69. What is the common denominator of -61\/6 and o?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, m: 4, g: 3}. Give prob of picking 2 m.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s - 2. Suppose 2*c + 5 = q, -13 = 5*c + 2*q - 5*q. Let a be o(c). Solve 18 - 2 = -a*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 11:32 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(2 - 1) - -2. Suppose v*w = -19 + 9. Which is the second biggest value? (a) -3\/4 (b) 2 (c) w (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*d + 681*d - 333*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -784*d - 4057*d**3 - 275*d + 196*d**2 + 4052*d**3 wrt d?\nAnswer: -30*d + 392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dd6 (base 14) to base 6\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 13*l + 12. Give q(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1130398?\nAnswer: -5651990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 4, u: 6, d: 2, s: 1, b: 3}. What is prob of picking 2 s and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -9. Let s = -80.66 - -80. Let t = s + 0.16. Put t, -5, l in ascending order.\nAnswer: -5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 18) + -16 + 146 + -122 - (-1 + 120)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 9. Let z be g(4). Suppose -z*l + 9 = 0, 0*l + 11 = m - 2*l. Calculate the highest common factor of m and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1*(-20)\/4 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7985857ug in milligrams?\nAnswer: 0.0007985857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (-2)\/(-4)*6. Sort 5, x, -3 in ascending order.\nAnswer: x, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 10, o: 1, m: 1, h: 1}. What is prob of sequence ma?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 143672587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.87961 times -3451\nAnswer: -6486.53411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 1. Let i(t) = 3*t - 1. Suppose 27*n + 336 = -29*n. Determine n*x(u) - 5*i(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = 21*u. Suppose -3*x = -u*x - 7890000. Round x to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92\/1 - 24\/8. Suppose -h + 113 = 6*d. Solve d = -3*l + 7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -28*c**2. Let h(l) be the first derivative of -l**3 - 122. Give h(y(z)).\nAnswer: -2352*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3 (c) -0.067 (d) -17 (e) 0 (f) 54 (g) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -69, -134, -175, -192, -185?\n\"Answer: 12*s**2 - 101*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14*a + 110. What is b(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*g**2*t - 1573880*g**2 + 173958165*g*t - 2*g wrt g?\nAnswer: -30*t - 3147760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -28373, -2 in descending order.\nAnswer: 2, -2, -28373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 11*y - 15. Let l be (y\/2)\/(33\/(-22)). What is the tens digit of l\/((-3)\/12) + 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*g*n**3*z - 3*g*n**3 + 2*g*n**2*z - 994*g*n**2 + 2*g*n + 2*g*z - 2*g - 29*n**3*z + 184*n**3 - 6*n**2 wrt n?\nAnswer: -102*g*z - 18*g - 174*z + 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = -666 + 10543. Suppose 10*g - n = -81. Calculate the highest common divisor of 150 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 491 - 275. Let c = -3 - -30. What is the highest common factor of y and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/120 - n**5\/20 - n**4\/24 - n**3\/2 + 4*n**2. Give s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8)*4\/(-1 + -1). Let v(j) = 3*j**2 - 6*j + 19. Let z(q) = -2*q**2 + 3*q - 9. Let d(r) = w*v(r) - 5*z(r). Is d(8) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - v = 41, 2*v = 26*z - 20*z + 72 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18321 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - u - 2*r = -23, u = -2*r + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 382, 1270, 3002, 5860?\nAnswer: 10126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -7. Let r be b\/(-16) + (-2)\/(-8). Find o such that 2\/5 - 2\/5*o**2 + r*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -45723.\nAnswer: -4\/15241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 2213?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1216) + 1)*-3 + (0 + sqrt(1216) + sqrt(1216))*3) + 2 + -3)**2.\nAnswer: -2496*sqrt(19) + 175273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3067*g + 3067*g + 2542*g**4 + (3 - 3 - 1)*(-2 + 2 + g)*(-g**3 - 4*g**3 - 5*g**3 + 2).\nAnswer: 2552*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 21. Let a = r - 18. What is the smallest common multiple of a + 2 - (7 + -7) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 320*c - 430. Let n(q) = -319*q + 425. Let a(k) = 2*n(k) + 3*s(k). Differentiate a(v) wrt v.\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2918, 0.4, 0, 1\/7, 1\/4?\nAnswer: -2918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + u = 930, 0 = -4*d + 5*u - 1240. Is 25 a factor of 6\/(-9) + d\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*d**2*s**3 + 23*c*d**2 + 2*c*d + 645028*c*s**3 - c*s**2 + 27*c + d**2*s - 8*s**2 wrt s.\nAnswer: -12*c*d**2 + 3870168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -1.1. Let p = -110697.8 + 110698. Put -16, 0.4, j, p in decreasing order.\nAnswer: 0.4, p, j, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - 1) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14135 + -5441000?\nAnswer: -5422421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 416 and ((-72)\/(-18))\/((-1)\/(-13))?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - (sqrt(480)*3 - sqrt(480) - sqrt(480)))\/sqrt(8))\/((sqrt(96)*-2)\/sqrt(8) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22843 + -0.27157. What is the third biggest value in -3\/4, 18, 0.8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from tubtbbubutt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410 divided by 30?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*(j\/(j**(-5)*j*j)*j)\/j)\/j)\/(j**(-2\/5)\/j))\/((j\/j**(-7)*j)\/j**0))**(-44) assuming j is positive.\nAnswer: j**(572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1340*u**2 - 10 - 17 + 2*u + 42 - 144*u**2 - 17 in the form w*u + l*u**2 + m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 7*o**2 + o. Let r be c(-7). Let t(i) = i + 2. Let y be t(r). Which is bigger: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 30 - 8 = 18*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by -2437?\nAnswer: -196\/2437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i - 32. What is the hundreds digit of b(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2. Let a(r) = -r. Let z(j) = -2*j. Let w(q) = 15*a(q) - 6*z(q). What is n(w(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -v - 67, 5*o = -2*v + 5 + 125. Let i(j) = 3*j**2 - 3*j. Calculate the smallest common multiple of i(4) and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110022 (base 4) to base 11\nAnswer: a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + v**2 - v - 1. Let r(q) = -900*q**3 - 5*q**2 + 1003*q + 5. Let l(u) = -3*r(u) - 15*x(u). What is the second derivative of l(d) wrt d?\nAnswer: 16020*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13748 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205895*1.532.\nAnswer: -315431.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 2.04. Let l = -1.9 - o. Which is the closest to 1? (a) -3 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -99, -19, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 2*z. Let f(r) = 16*r**2 + 11*r. What is 4*f(b) + 22*o(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-72)*0 - 2. Put f, 1, 4, 3 in increasing order.\nAnswer: f, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 45*v**2. Let c be i(-1). Suppose -2*o + 203 = 73. Let w = o - c. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-8)*4\/(-6). Let g be -2 + 7\/2 - 2. Suppose 2*k = -k - 6. Which is the nearest to k? (a) h (b) g (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 8*c**2 - 7*c. Let u be z(6). Let b = 71 - u. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4208.3 minus -2846493?\nAnswer: 2842284.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1223523 - 3?\nAnswer: 1223520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4770477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/12)\/4*3. Let x be (165\/(-7650)*(-12)\/33)\/((-22)\/(-10)). Are i and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/11, -91\/4, 0.5, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 132*a**2 - 158*a + 3337. What is x(133)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184\/7 + -26. Which is the smallest value? (a) l (b) -1\/3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 0*z)*(-1 - 1 + 3)*(1 + 2 - 5)*(451 - 451 + 71*z).\nAnswer: -142*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from iwwz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1377.1 and 3?\nAnswer: -4131.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16962.179 - -16962. Suppose 0 = 16*t - 13*t + 6. Which is the closest to y? (a) -3 (b) -1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*v = 35, q - 2*v + 1 + 4 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 16*o - 13. Determine l(-7).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8300680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*t**2 + 5*t**3 + 0 + 140\/3*t - 5\/3*t**4.\nAnswer: -5*t*(t - 7)*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -98.7?\nAnswer: 493.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(132)\/(sqrt(12) + sqrt(24)\/sqrt(2)).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 12*k + 10*k - 30, -31 = -5*x + k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9472549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (21 + -7 - -63).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2*(-8)\/6. Suppose -w*j + 3*r = -3, 3*r - r + 4 = 2*j. Factor -2*v**3 + 2*v**3 - v**2 + v**j.\nAnswer: v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {s: 4, b: 1, p: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1098 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:21 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -265 - -7951\/30. Let d(t) be the third derivative of 1\/12*t**4 + 0*t + 0 - t**2 + s*t**5 + 0*t**3. What is the second derivative of d(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*u + 12, -2*t - 4*u - 8 = -4*t. Suppose -5*s = -5*g, 10 - t = s + g. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:53 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 6127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from gdcgikk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4633035 - -262?\nAnswer: -4632443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51.87541728 and 0.3.\nAnswer: 52.17541728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -33. Is 3 a factor of (-2)\/4 + (-26)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280713668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -63. Solve -3*o = 3*g + 1 - 13, k*o + 4*g = 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 5 + 14 + 4 - 3*y + 0*y**2 - 31 to d + x*y**2 + q*y and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.8 + -7. Let w = j - -0.2. Let m = 1 + w. Which is the smallest value? (a) -0.4 (b) 3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8411, 8384, 8355, 8324, 8291, 8256?\n\"Answer: -n**2 - 24*n + 8436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*u = -47488 + 120544 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-1))*((-13320)\/(-315))\/(-74)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115713 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5\/3, 0.2, 3\/8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 56*n**2 - 58 + 323 - 61 - 63 - 64.\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1161 + -227. Suppose -2*m + 2 = 0, 4*m - 10506 = 4*n - z. Is 1\/(-3) - n\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00555 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 + 15*g**2 + 16*g + 92. Let l be i(-4). Suppose -3*m = -z + 6, 5*z + 2*m - 20 = 10. Solve -l = z*d + 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(39\/(-9) - -2). Suppose 22*o - 2660 = -16*o. Calculate the greatest common divisor of g and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126.1 - 133. Let f = 3649.6 + -3642.69884. Let h = b + f. What is h rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (4 - 6 - -5 - -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11368 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 417.34 and -136.1?\nAnswer: -56799.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((-2*sqrt(12))\/sqrt(6) + -1)*-4 + -4))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-560)\/55 - 4\/(-22). Which is greater: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 38*b + 99 = 0. Let u(k) = -3*k**3 - 9*k**2 - 2*k**3 - 5*k**2 + b*k**2 - 5. Let a(v) = -v**3 + v**2 + 1. Give -5*a(n) - u(n).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 4*f**4 + f**4)*(f - f + 3*f) - f - 3*f**5 + f + (2*f - 2*f - f**3)*(-39 + 39 - 2*f**2) - 6*f**5 + 3*f**5 + 2*f**5.\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 228 and -7\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/100501140 and -157\/420?\nAnswer: 703507980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66408964 and 951?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/124 and -67\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/15 and 93\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:28 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 4 + o - 4*o. Determine i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 3. Let v be h(1). Find the third derivative of -1 - 48*w**5 + v*w**2 - 39*w**5 + 17 + 1 wrt w.\nAnswer: -5220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/13 - -53\/117. Let k(y) = -59*y + 54. Let p be k(1). Which is the second smallest value? (a) p (b) 4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**3 - 19*f**2 - 88*f + 9. Give a(-4).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2569212*c**6 + 8323192*c**2.\nAnswer: -308305440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80110 and 80110?\nAnswer: 80110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2*(-2)\/960). Suppose -5*k = -0*k - u. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/60 + (-1860)\/(-3600))*(9\/(-11) + 0)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o - 4*o**2 - 21*o - 2 - 2*o**4 + 6*o**2 to d*o**4 + h + k*o + b*o**2 + t*o**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:34 PM?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*p + 9 = 0, -414*p + 429*p = 5*s + 95 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 20*v**2 - 13*v + 28. What is d(20)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chxccxxxmxhccccmwx. What is prob of picking 1 w, 1 m, and 1 x?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -7. Suppose 114*p = 117*p - 72. What is the tens digit of (-226)\/(-8) + o\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71.5 + 73.5. Sort o, -2, 14 in decreasing order.\nAnswer: 14, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 4744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 11*i**3\/3 + 7*i. Let u(j) = -3*j. What is q(u(c))?\nAnswer: -66*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h + 27. Let q be m(-12). Suppose 4*p - 4 = 4*r, -2*r - 2 = q*p - 0*r. Factor -2\/7*s**4 + 0 + p*s + 4\/7*s**3 - 2\/7*s**2.\nAnswer: -2*s**2*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120072\/(-105063) - (-2)\/(2184\/1234)\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 855697394 and -20.871?\nAnswer: 855697414.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1. Let w(h) = -h - 11. Give 14*b(j) + 2*w(j).\nAnswer: -2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 + -2 - (-4 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2 - 6, 5*s - 5*a + 310 = 0. Let x = s - -83. Calculate the remainder when x is divided by 9*((-1)\/1 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870 divided by 174.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -225381*v**2. Let y(s) = 6*s**2. Calculate d(y(c)).\nAnswer: -8113716*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5531 - 5515. Calculate the remainder when 271 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5256462kg to milligrams.\nAnswer: 525646.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 361*c. Let a(f) = -3*f + 87. Let w(q) = q**2 + q - 29. Let n(k) = -2*a(k) - 6*w(k). Give n(v(l)).\nAnswer: -781926*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 80275?\nAnswer: -88\/80275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847766 is divided by 719?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33622 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28122 divided by -43.\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/7)\/w*w**(-2\/27)*w)\/((w\/((w*w*w\/(w*w*w\/(w*w**7)*w)*w)\/w)*w)\/(w**(-3\/11)*w)) assuming w is positive.\nAnswer: w**(13535\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -37. Suppose 3*i = -i + 52. Let y = x - i. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1652)\/20 - (-3)\/(30\/(-4)). Let h = 127 + l. Suppose -40*o + 36*o = h. Which is smaller: o or -9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.89569\nAnswer: 0.10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 9163740 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/14 (b) 3\/2 (c) 0.1 (d) 604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-10) - (-42)\/5. Let c be 28 + (1 - (-2)\/(-1)). Calculate the greatest common factor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 5. Let p be (-4)\/6 - 2\/9*-1380. Suppose -16*i + 22*i = p. Calculate the remainder when i is divided by u(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (0 + (-1 - 2) - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 - 10*a**2 - 7*a + 18 = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*o - 1969, 5*o - 9935 = -9*b + 4*b. Does 35 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-100967525)\/(-20) + 2)*(-2)\/(-117). Let o = -86299 + k. What is the common denominator of o and -63\/8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2\/5 + 2593237*z\/5 - 2593238\/5 = 0.\nAnswer: -2593238, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -525 - -1104. List the prime factors of c.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r - 2. Let f be 1 + (-10)\/25*-5. Calculate q(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 128?\nAnswer: -2816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/39 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10*w + 22 = -7*w, -27 = -g + 2*w. Solve -2*l - 5 = -s, 7*l - 2*l + g = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471097521?\nAnswer: 3, 52344169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7*y + 16. Let q(r) = 8*r**2 + 3*r + 5. Is q(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:41 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 0 + 0*o + 5*o - 6 + o**2. Let n be l(-6). Suppose n*d - 3*d + 30 = 0. Calculate the greatest common divisor of d and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(35)\/((sqrt(150)\/sqrt(6))\/sqrt(5) + sqrt(5)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803 + 3014 = -128*g + 31*g - 2167 for g.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259 * -55.17.\nAnswer: -14289.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 719.371 + -0.371. Is 0 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let k be -4 + u - -6 - (0 - 1). Solve 0 = -k*v - 3*f - 9, 0 = 7*v - 3*v - 3*f + 26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*v + f, v + 16 = -5*f + 2. Sort 7, v, -6.\nAnswer: -6, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8885*a - 8885*a - a**2. Let q(f) = 411*f. Give q(c(d)).\nAnswer: -411*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167957, 671788, 1511505, 2687108, 4198597, 6045972, 8229233?\nAnswer: 10748380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 16*b + 6. Let n = 6 + -12. Let u(i) = -i**2 + 17*i - 5. Let g(q) = n*l(q) - 5*u(q). Let h be g(10). Are h and -4\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5008, 2824, 628, -1586, -3824?\n\"Answer: -d**3 - 2177*d + 7186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -0.48, 28 in descending order.\nAnswer: 28, -0.48, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33 (b) 176 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3\/4 (b) 1.1 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 10451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 25*z - 22896 = 0. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71.7 - -80. Let l = c - 8. Sort 1, -0.5, l in ascending order.\nAnswer: -0.5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -658*t**2\/13 + 1382*t\/13 - 724\/13 = 0.\nAnswer: 1, 362\/329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2dba9b?\nAnswer: -2dbaa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 u when four letters picked without replacement from {u: 5, y: 3, x: 3, k: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(3*k - 6*k + 2*k)*(-1 - 1 + 3) + (2630 + 3438 - 7058)*(k + k + 2 - 3*k).\nAnswer: 989*k - 1980","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 * 0.0511\nAnswer: -0.24528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 7\/3*d**3 - 1\/2*d**2 + 0 + 7*d. Give w(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -13*s**5\/3 - 2152*s**4\/3 - 15319*s**3\/3 + 8984*s**2 + 46308*s - 22752 = 0.\nAnswer: -158, -8, -3, 6\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 429, 858, 1287, 1716, 2145, 2574?\n\"Answer: 429*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-1 + 5)) + -6 + -5 + -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*r + 20 = 0, w + 3*w + r + 9 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25827490*k**5 + 69886462*k**2.\nAnswer: 1549649400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 1. Let h(r) = -2*r - 5. Determine -21*c(f) + 3*h(f).\nAnswer: 15*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 3*g - 3402. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*r - 140*r + 13 = -l, -4*l + 4*r - 32 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -789300 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 66. Let n(c) = 6*c + 12 + 6 - 13 + 48*c**2. Is n(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1204 + -8a?\nAnswer: -128e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 6 + 2*j + 6 + (2 - 1 + 0)*(j + 2*j - j) in the form y + k*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 22\/1449 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, e: 4}. What is prob of picking 2 e and 1 t?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10489, -6 in descending order.\nAnswer: -1, -6, -10489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 3*n**2 + 7. Let c(x) = x**3 + 3*x**2 + x + 6. Suppose -q - q = 8. Let z(v) = q*c(v) + 3*i(v). What is z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392779379 to the power of 1\/2, to the nearest integer?\nAnswer: 19819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 660661279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*d + 2952 - 60864. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + w**4 - w**5 + 4*w**5 - 3*w**5 + 0*w**5 + (w + 2*w**4 - w)*(4*w - 4*w + w).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8264.8 plus 7?\nAnswer: -8257.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54486, -217935, -490348, -871725, -1362066, -1961371?\n\"Answer: -54482*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(5\/3)*v\/(v\/(v**(-6\/5)\/v)))**(-5\/6) assuming v is positive.\nAnswer: v**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 8*n + 13. Let b be m(4). What is the common denominator of (-214)\/(-280) + b\/2 and 69\/2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97*-14.493.\nAnswer: 1405.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2*n + 83*n**2 + 263*n**2 in the form q*n**2 + f + z*n and give q.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2573*m**2*w - 3*m**2 + 223*m - 6*w - 1 wrt m.\nAnswer: -5146*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*k - 32 - 1986 = 0, 0 = -5*s - 4*k + 5031. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 - 14*t - 8. What is u(-6)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 1254*o - 2 = -h - 0*h - 1249*o, -o = 5*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 193*n - 398?\nAnswer: 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 14*l + 60. Suppose -4*f = -2*g - l, 2*f - 47 = 5*g + 19. Let c be (484\/g)\/2 + (-8)\/(-2). Which is greater: -14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -20*w + 17*w. What is the least common multiple of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-14))\/((-596)\/(-4172)). Let g(s) = -2*s - 2. Let f(j) = -3*j - 3. Determine r*f(v) - 4*g(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 17 = -3*j, 3*j + 7 = 4*c - 0*c. Suppose 34*n - 2*n - 64*n = -992. Solve 5*u - 19 = t, -j*t = -5*u - 4 + n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 3*d**2 + 2*d + 1. Let s(q) = 4*q**3 - 7*q**2 - 5*q - 1. Suppose -127 = 18*t - 163. Let o be 1 - 8\/2*-1. Calculate o*h(y) + t*s(y).\nAnswer: -2*y**3 + y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -30.09442 and -834.48.\nAnswer: -864.57442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 6. Is 200\/f + 2\/3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1738*a**2 + 5*a + 325. Let w(i) = -2608*i**2 + 7*i + 487. Let h(t) = -5*w(t) + 7*z(t). What is the derivative of h(y) wrt y?\nAnswer: 1748*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 335. Suppose w = -4*a + 5*a. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -31*q**6\/30 + 17*q**4\/12 - 55*q. What is the third derivative of l(o) wrt o?\nAnswer: -744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 3*g + 18. Calculate the highest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 20, 2, -2\/803, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (1795\/(-14) + (-54)\/189)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -28, 0.9, 2\/3, 28.6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - 2\/7. Suppose i = 4*x - d - 16, -4*x = 5*d + 7 + 1. Put x, -7, 4 in descending order.\nAnswer: 4, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let x be -2 - -6 - 6\/3. Let h(l) = 21*l**2 - 4*l**2 + 9*l**2 - 4*l**x. Calculate h(p(t)).\nAnswer: 88*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - 5*-2*sqrt(80) - sqrt(80)) + sqrt(80) + sqrt(80))\/sqrt(5))\/((1*sqrt(512) - sqrt(512)) + sqrt(968)*2).\nAnswer: 6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -406*m**4 + 3566*m wrt m?\nAnswer: -4872*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7*p**3 + 213*p**2 + 0 - 10*p**3 - 52*p**2 - 165*p**2.\nAnswer: -3*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 != 451510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 141\/16, 9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -463, -1971, -4519, -8101, -12711?\n\"Answer: y**3 - 526*y**2 + 63*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23156 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36504 + 18615. List the prime factors of v.\nAnswer: 3, 19, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1016 or -1014?\nAnswer: -1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 246*u**2 + 11*u + 23. Let f be h(-8). Let g = 2257859\/144 - f. Calculate the common denominator of g and -17\/12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 + 1455\/11. Let s = -1339 - -1338.9. Which is the third smallest value? (a) s (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*44\/66*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20258 is divided by 6013.\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -451678872*f**4 - 344954770 wrt f?\nAnswer: -1806715488*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, i: 3, p: 3, h: 1}. Give prob of sequence ipr.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 70.86?\nAnswer: 70.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.64*0.26\nAnswer: 0.4264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p + 5*s - 17, 2*p + 2*s - 8 = 0. Let k be 35\/(-58)*77196\/(-15). Let q = -3106 + k. Is q at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1547 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1025 + 1025.2. Which is the closest to -1\/2? (a) -2.7 (b) g (c) 10 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 23*c**7\/210 - c**5\/4 - 39*c**2. What is the third derivative of d(a) wrt a?\nAnswer: 552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001041366205 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/(-2))\/(12\/(-328))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1)*(-4 + 3). Let f = -0.1 - -0.3. Sort f, 1, c.\nAnswer: c, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275000 and 53240.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 27. Let y be 3 - (7762\/1330 + -3). Let u = y + -2\/95. Which is bigger: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 546354 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 3.4?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3859 + -3854.493. Let b = 0.107 - q. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 1)*(-1 + 1 - 2*c) + (7 - 7 + 8*c)*(1 + 2 - 2))*(-178 - 4*c + c + 180) in the form n*c**2 + g*c + b and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 5 (c) -42 (d) 2\/21 (e) 1.6 (f) 55\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.07, -0.04, -0.2, 3\/2, -20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1831345004 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-2 + 0 - -3). Let m = 2 - 8. Let t be (-2)\/(-42) - k\/m. What is the biggest value in -5, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4408)\/116*(-4)\/(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 2 m when four letters picked without replacement from smmmnsmssmmssm?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**8\/5040 - c**7\/2520 + c**6\/540 + 4*c**3 - 1. Let p(s) be the third derivative of q(s). Factor p(v).\nAnswer: -v**2*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + u**2 - u**2 + (12*u**2 + 34*u**2 + 4*u**2)*(-1 + 7 - 3).\nAnswer: 151*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 20 = -0*t. Suppose -t*x + 3 + 12 = 0. Solve -7 + 1 = -x*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154406, 156006, 157608, 159212, 160818?\nAnswer: 162426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11470*q**2 - 9*q - 12404*q**2 + 11*q)*(-3*q + 3*q - 3*q**2).\nAnswer: 2802*q**4 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.489 and -0.011?\nAnswer: 0.005379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 36?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18283 is divided by 210?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 + 24. Let h be j(0). What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 12*j - 3. What is the units digit of i(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2043590 less than -575.6?\nAnswer: 2043014.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1*-1*2. Let k be 1*(-2)\/w + 0. Suppose 5*q - 8 = 12, 4*x + 5*q - 4 = 0. Sort 3, k, x.\nAnswer: x, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18899146 divided by 6?\nAnswer: 9449573\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690400 rounded to the nearest ten thousand?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320)\/sqrt(810) - (sqrt(288) + sqrt(32) + -1))*2)**2.\nAnswer: -1120*sqrt(2)\/9 + 157124\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(3465\/196))\/((-10)\/(-25))\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 14*p - 6*p**3 - p**3.\nAnswer: -3*p**3 - 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2450) + -2*sqrt(2450))*1 - (((sqrt(2450)*1 + sqrt(2450))*-2 - sqrt(2450)) + 2*sqrt(2450) + -3)**2) + 0.\nAnswer: -22058 - 665*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432024?\nAnswer: 2, 3, 47, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**17*(a*a*a\/(a**4*a)*a)**(2\/71) assuming a is positive.\nAnswer: a**(-2\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.017*-500.\nAnswer: 1508.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 182043.4298 to the nearest 100.\nAnswer: 182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325) - -6*(sqrt(325) + 1)) - sqrt(325)*-1*-4)**2*-4*2 + 5 + 3 + 2.\nAnswer: -260278 - 4800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18591 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176374*h**3 + 2*h**2 - 2336773*h.\nAnswer: 1058244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/((-51)\/(-25) + -2). Let x(i) = -i**2 + 13*i + 33. Let b be x(15). What is the common denominator of (b\/(-2))\/((-176)\/m) and -123\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)*c**4\/c)\/(((c**(-5)\/c)\/c)\/(c**1*c*c)))\/((c**(-1))**(-46)*(c*c**(-1)*c)**8) assuming c is positive.\nAnswer: c**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-11))\/(5\/11)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801, 2257, 4657, 7995, 12265?\nAnswer: 17461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {g: 1, t: 2, c: 2, p: 1, o: 7, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 2. Let o be x(0). Suppose 30 = b + o*b. Solve -d = -6*d + b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -8\/3*f**3 - 1\/4*f**4 + f + 4*f**2 - 2. Is 5 a factor of c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -35900235?\nAnswer: -1\/11966745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pypppryryyryrppmmpp. What is prob of picking 2 m and 2 y?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-1 - -1))*3. Suppose 2*s = -g + 10, s = 2*g - 4*s - 20. Solve -n*k = -g + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3149*o - 6287*o + 3148*o. Let v(n) be the third derivative of -n**4\/24 - 5*n**2. What is v(x(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*q*x**3 + 2*c*q + 2*c*x - 155*c + 644*q*x**3 + 2*x**3 wrt q.\nAnswer: c*x**3 + 2*c + 644*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 10, j: 1, g: 5, o: 3}. What is prob of picking 2 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -7 (b) -23 (c) -3\/14 (d) 0.2 (e) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 120*u - 13. What are the prime factors of o(-36)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l + 1. Let a be m(4). Let c be (-4 - -8)*(a + 0). Suppose -k = -c*t + 13, -k = 4*t + 2*k - 9. Does 3 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 1134*a**2 - 2274*a - 1138.\nAnswer: 2*(a - 569)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1334 - 1334.142. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - -308. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114*b - 882 wrt b.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5069, 21762, 50113, 90122, 141789, 205114?\nAnswer: 280097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04175 + 1.40025. Let b = u + 6.5579. Let o = b + -8. What is o rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1478 + 32261. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) -4\/5 (d) -1 (e) 3583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9928285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -6*(1*-4*(1 + sqrt(931)) + 4)))**2*1.\nAnswer: -4032*sqrt(19) + 2145060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 191*u - 1309279. Let i(k) = -k. Give i(v(c)).\nAnswer: -191*c + 1309279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 49555, -2, 10 in decreasing order.\nAnswer: 49555, 10, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l - 2*h = -8, -h = -5*l - 4. Suppose 3*q - 344 = 5*m + 641, 5*m = -q + 295. Let r = q - 371. Which is greater: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 29?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - 148*s + 1 - 149*s + 440*s in the form i + p*s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*x + 1 - 1 - 196*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67172155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2264 (base 10) in base 3?\nAnswer: -10002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 170 = 5*n, -57*n = -62*n + 5*k + 155. Calculate the lowest common multiple of n and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -697, -704, -713, -724, -737, -752, -769?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/9 + 26\/9*g + 2\/3*g**2 - 2\/9*g**4 - 10\/9*g**3 = 0. Calculate g.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 10 = -4*s. Let x(j) = -j**2 + 7*j**2 + 3*j**s. Let b(y) = -y. Calculate b(x(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 4*a**4 + 4*a**4)*(21 - 67*a + 46*a + 43*a).\nAnswer: 44*a**5 + 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 1142 - 1161 - 48*r. Let c(q) = -23*q - 9. Let l(z) = 13*c(z) - 6*y(z). Calculate l(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 9*i**2 - 4. Let r be t(-9). What is the common denominator of r\/(-18) - 92\/252 and (42\/(-8))\/(15\/(-12))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 28 = -4*h + 5*q, -2 = 2*q. Suppose z - b = -0*z, -h = -z - b. What is the second derivative of 0*x**3 - 2*x + x**z + x wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1008 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*d + y + 23 = 587*d, -y = -3*d + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*t + 204*t - 162 = 0. Solve -h = -f, f - 2*f + 4*h = -t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200212 - -10?\nAnswer: -200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 35, -13, -3 in descending order.\nAnswer: 35, 5, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 543*h*l**4 - 9*h*l + 397*h + 228*l**2 - 550*l wrt l.\nAnswer: 6516*h*l**2 + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6705 and 375183639?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*v + 156 = -3*h, -3*h + 96 = 3*v. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1385149843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30468 * -4\nAnswer: 121872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a1091 (base 11) in base 15?\nAnswer: -1410ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 701*t**4\/4 - 2*t**3\/3 - 14*t - 1861. Find the third derivative of v(x) wrt x.\nAnswer: 4206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 + -3 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1274646 - 9821743 = -13*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 7*z**7\/60 + 77*z**6\/240 + 4*z**5\/15 + z**4\/12 - 9*z**2. Factor y(f).\nAnswer: f*(f + 1)*(7*f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4757713.\nAnswer: 4757713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350856829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3852 and 144.\nAnswer: 15408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2663 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -b28b9 (base 12) in base 11?\nAnswer: -149a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708 - 1693 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -359803, -359727, -359641, -359539, -359415?\n\"Answer: y**3 - y**2 + 72*y - 359875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - f + 38 = 0, 453*s + 3*f = 450*s + 42 + 30 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/174 - -37\/290. Let m be 2 - (3\/(-1) - -7). What is the nearest to m in -2, f, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b**2 - 98*b - 7. Let k(u) = 5*u**2 - 56*u - 4. Let m(z) = -4*h(z) + 7*k(z). Let i(y) = 2168*y**2. Give m(i(s)).\nAnswer: -4700224*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 71. Let o(y) = 3 - y + 2*y**2 - y**3 + y + 3*y. What is the remainder when o(3) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4026 - -4026.2. Suppose 5*l - 11 = -w, 0 = -5*w - 3 + 8. Suppose -3 + l = n. Which is the nearest to n? (a) -5 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 1\/2, 5, -5, 0.15, -1\/2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74847285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 131 = -2*r + 9, 2*c + 250 = 2*r. Suppose -194*y = 7*a - 191*y + 861, -a + 2*y = 140. Are c and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/10 - 5*z**3\/6 + 7*z**2. Let k(h) = -21*h**2 - 18. Let w(c) = 5*k(c) - 18*t(c). Let j(l) = -4*l. Determine w(j(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12 = 36. Let m be (-1)\/(-2) - (-394)\/(-4). Let n = m + 126. What is the lowest common multiple of n and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (11 - (-6 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*87\/6960*(0 - (-2 + 15))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 3*a + 3. Let p be q(-1). Suppose 7*c - 3*c - 2*y = 578, 4*y - 548 = -p*c. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 2. Let r(p) = -6*p - 4. Let h(n) = 11*n + 6. Let s(y) = 3*h(y) + 5*r(y). Let g(o) = 3*l(o) + 4*s(o). What is g(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 36*s**2 - 108*s + 1563. Let x be q(34). Let d be (1 - 1570\/(-4))*2. Suppose -x - d = -6*n. List the prime factors of n.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1024180 divided by 2.\nAnswer: -512090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.81510363 plus 6267?\nAnswer: 6276.81510363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48669, -48781, -48889, -48993, -49093, -49189, -49281?\n\"Answer: 2*w**2 - 118*w - 48553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 2. Let f = -7 - -13. Suppose 7*y - 4*y = f. Determine i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-81) + 87818\/18. Let y = t + -38979\/8. Calculate the common denominator of y and 137\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 3*l + 2. Let w be p(3). Suppose -3*v + 5*i - 62 = -0*v, 5*v + 128 = -4*i. What is the remainder when 11 is divided by v\/w*(3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 30. Let b be g(-18). Solve -7 = 2*o + 5*a, 0 = -o - 5*a - b - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 35 + (7 - (-6 + -10 + 83))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11120122202120 (base 3) to base 12.\nAnswer: 994659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r - 8 = -3 - 5. Solve r*c + 10 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1958 - 612. List the prime factors of j.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-4)\/390*-1*1.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 1\/2*a**2 + 1 + 0*a. Let l(k) = -4*k. What is l(g(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4 = 4*y, 3*t = 48*y - 47*y - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u\/(((u**0\/u)\/u)\/u*u)))**(1\/5)\/(u\/u**1)**(14\/3) assuming u is positive.\nAnswer: u**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7347 is divided by 3627.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 77 = -3*t, v + 6*t - 33 = t. Suppose b - 3 = v. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 72. Is 4\/27 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328350539.\nAnswer: 11, 29850049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**2 + 2*g + 965. Let h(t) = -11*t**2 - 4*t - 966. Let w(i) = 5*h(i) + 6*z(i). Is 15 a factor of w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 450*c**2 - 107 - 839*c**5 - 8*c**2 + 107 wrt c?\nAnswer: -50340*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s + 4. Let u(b) = -b**2 + b - 1. Let z(m) = -m**2 + 3*m + 1. Let o(n) = s*u(n) + z(n). What is the derivative of o(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 138 + 58. Suppose 2*h - 2 = -5*g, -3*h + 7*h + 4*g = p. Calculate the lowest common multiple of 5 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -5 + sqrt(13) + 4) - (5 + (sqrt(637) + sqrt(637)*-2)**2)*-4.\nAnswer: 3*sqrt(13) + 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m + 221 = -868 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 963 and 5070.\nAnswer: 1627470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w**2 + 4*w - 11. Let i(x) = -x**2 + 14*x + 2. Let a be i(14). Let m(c) = -6 - 5*c**a + 2*c + 0*c + 0. Calculate -11*m(g) + 6*y(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -4845176.\nAnswer: -24225880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + d = 142, -3*o + o + d = -138. Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4052354.9*0.2\nAnswer: -810470.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a millennium?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002976 rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4 - 6552*h**3 - 15320*h**2 wrt h.\nAnswer: -48*h - 39312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1053) + (sqrt(1053) + 0 - sqrt(1053)) - (sqrt(1053) + -1 + sqrt(1053)*-2))**2 + (sqrt(78) - (sqrt(78) + sqrt(78)*1)*4)\/(sqrt(96)*5).\nAnswer: 4313*sqrt(13)\/20 + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 0.28, 5, 2\/3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w = 29*w + 30. What is the third smallest value in 4, -2\/3, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 0) + (-8 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 10, 4*q - 2*q - 3*c = 10. What is the derivative of 3*d**3 - 2*d**q + 2*d**2 + 3 + 1 wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 142, 75, -4, -1 in increasing order.\nAnswer: -4, -1, 1, 75, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2665 - 2665 - 53*l**3 + (l**2 - 5 + 5)*(171 + 83*l - 171) + (-l - 2*l + 4*l)*(-3*l**2 + 4*l**2 - 3*l**2) as v*l**2 + q + r*l + n*l**3 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -459\nAnswer: -458.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110001000 - 11000100?\nAnswer: -1110001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24956\/1101 - (-44)\/(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*w - 230, 0*w + 345 = 3*w - a. Let g be -1*(-998)\/10 + 23\/w. What is the highest common divisor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 122*j + 3. Let p(k) = -k. Calculate z(p(n)).\nAnswer: -2*n**2 - 122*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 93.55, 3\/4, 5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 0 + 4)*(-5 + 0 + 3) - 8 + 2 + 2 + 2 - 1 + 0 + (-4 + 6 - 1)*(4 - 4 - 2) - 4 + 0 + 5)*(5*l + 17*l + 3 - 5*l) in the form m + v*l and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:05 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 15*j**2 - j + 20. Give o(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520479642 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: b\"What is the pth term of 169, 1090, 2627, 4780, 7549, 10934, 14935?\n\"Answer: 308*p**2 - 3*p - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -61816 * -117\nAnswer: 7232472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27884058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0, -1, -3, 3 in ascending order.\nAnswer: -3, -1, 0, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (109\/(-3))\/(((-5)\/3)\/5). Suppose 0 = -i + 2*i - t. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -534641 + -3682934\nAnswer: -4217575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -360*x**2 + 103*x**2 - 2*x + 45*x**2 - 372*x**2 in the form u + h*x + p*x**2 and give p.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26d6 + -60?\nAnswer: -2756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*j - 3*n - 10, -5*n = -3*j + 35. Suppose s + 4 = -j*y + 67, 0 = 3*s - 5*y - 129. Solve 5*x - s + 23 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2469, -9856, -22167, -39402, -61561, -88644?\n\"Answer: -2462*p**2 - p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105045*c*k**2*p**2 + 265*c*p**2 + c - 80*k**3 - 3*p**2 - 2*p - 1473 wrt k?\nAnswer: 210090*c*k*p**2 - 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46286 is divided by 2424.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57\/55 - -2 - -1. Let q = z + -40\/11. Let w = 19 - 22. Which is the nearest to -1? (a) 5 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 6*r. Let p be (6 - (5 + 5)) + (-1 - 1). Give m(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 242*a + 67878 - 388770. Calculate the lowest common multiple of a and 816.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = i + 45 - 54, -f + 14*i = 40 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 33 = 2*p - 6*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 5*i = -487 + 633, 17*i - 40*i = -24*i - 4 + 8 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -59300 to the nearest 1000.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = -4*l, 5*c + 16 - 1 = 0. Suppose 0*n - n + l = 0. What is the first derivative of -n*r + 1 + 4 - r - 2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/4)*l*l*l)**43*(l\/(l**3\/l))\/(l\/(l**(2\/5)\/l))*l**(-3\/4)\/((l\/(l**(-2)\/l))\/l)*l**(2\/7)*l**(-2\/17) assuming l is positive.\nAnswer: l**(105058\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252131334 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/24 + i**3\/3 + 3*i**2 - 38. Let h(m) = 2*m**2. What is x(h(o))?\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*i - 28 = 2*i, 5*x = 2*i + 56. Let t be 10\/6*x\/(-4). Let m(z) = -z - 5. Calculate m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -103508?\nAnswer: 103511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 17. Calculate the remainder when 18 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + -3. Let i = r - -27. Let v = i - -40. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 2*m**2 + 5*m - 3. Let y be (-12)\/(-9)*3*27\/36. Calculate z(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Determine h(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 33. Let m(i) = -7*i**2 + 2*i - 6 + 0*i**3 + 2*i**2 - 2*i**3 + 3*i**3. Let k be m(5). Solve k*y - 4*t = -36, -5*y + 7 = 3*t + b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 + i**2 - 3*i + 1. What is p(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/6 + 23*w**4\/3 - 370*w**3\/3 - 981*w**2 + 10401*w\/2 - 4104 = 0.\nAnswer: -57, -9, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -3*y + 185. Calculate the lowest common multiple of y and 34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 0.6. Let d be (1 + 2 + -2)*0. Let b = -38 + 33. What is the closest to d in b, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e - 3?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 10\/7, 3, -3?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h + 2*x = 22, 0 = -3*x + 6. Let w be -5 - 9\/h*2. Let g be 6\/8 - w\/32. Which is smaller: -1\/7 or g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-2 + 2 - s) + (-2 - 3 + 0)*(52 + 0*s - 62 - s).\nAnswer: 4*s + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8 + 20. Let n(g) = g**2 - 1. Let s be n(l). Suppose s*f = 9*f - 25. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - w - 5. Suppose 5*y = 4*j + 15, -2 - 1 = -y. Give l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-2 - 6)*1. What is the tens digit of 174\/9*o\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284*u**2 + 62*u - 1309*u**2 - 62*u.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29464340 and 14?\nAnswer: 29464354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4.3547.\nAnswer: 8.7094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1395733926 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0 (b) -4\/21 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148300 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2929 - 2921. What is the lowest common multiple of a and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (6 - 4)) + -20 + 42 + 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53944\/7 - -269063\/35. Let m = -91\/5 - x. Let u(r) = r + 6. Let a be u(-5). Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115.542 - -117.8. Let l = 92 + -91.958. Let g = l + n. Round g to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 80*r - 14 + 4 to y + m*r and give m.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 36. Let t = -17.049 - o. Round t to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 4*b - 32, -29*g = -31*g + 2*b + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1908, -1907, -1906, -1905?\n\"Answer: b - 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, a: 1, w: 2, o: 2, s: 1, h: 3}. What is prob of sequence too?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*b = -49 + 44, 3 = x + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12966812*a + 14655611?\nAnswer: -12966812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*x - x**2 + x**4 + 2\/5*x**3.\nAnswer: x*(x - 1)*(x + 1)*(5*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 = 1162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99949.\nAnswer: 127, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -4*v - 1, 4*v = p + 1209 - 1186 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452870079?\nAnswer: 53, 27412643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.312 - -0.261. Round y to 3 decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11018867.\nAnswer: 11018867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -988851*l - 7*l**3 + 1977647*l - 988796*l.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drt when three letters picked without replacement from tttdredrtctdrcc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -163, 5, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.468 - 0.468. Put 6, b, 2\/19, 0.06, 0 in increasing order.\nAnswer: 0, 0.06, 2\/19, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4432*i + 4437*i = -20, -4*h + 26 = -i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0292626537 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m - 2. Let a be z(-2). Suppose -s = 2*b + 2*s - 8, 5*s + a = b. Let w(u) = -u**3 + 11*u**2 - 13. Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnx when three letters picked without replacement from ndxzznzuz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 282847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 787207151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2 + 28*l - 4. What is q(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2. Let i(x) = 23*x - 15. Let z(o) = 22*o - 19. Let a(p) = -5*i(p) + 4*z(p). Determine j(a(h)).\nAnswer: 2916*h**2 + 216*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -12. Sort -0.1, 2\/9, r.\nAnswer: -0.1, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1575433*j**2*v**2 + 89479918*j**2*v - 42*v**2 wrt v?\nAnswer: -3150866*j**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 21*d = -5. Solve 3 = -4*v + d*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -916 take away -0.037?\nAnswer: -915.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 3883187.2?\nAnswer: -1941593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x + 71. What is the tens digit of g(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*h**6 - 1619*h**3 - 38270*h**2 wrt h.\nAnswer: 1560*h**3 - 9714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z**4\/7 + 5604*z**3\/7 - 201261*z**2\/7 - 72996*z - 171828\/7 = 0 for z.\nAnswer: -2, -2\/5, 43, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 296050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = y + 4*o, -y + 671 = 2*y + 2*o. Let m = -218 + y. Solve -n = 4*q + 2*n - 7, -m = -q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/14 - 4\/(-14). Let z(h) = -2*h + 0*h**2 - 3 - 5 + h**2 - f*h. Let k be z(6). Solve -p = k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose a = -b*i + 1 - 25, -3*i - 15 = 0. Suppose u + 25 = 6*u. Solve 4*h = -a + u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3858.49 plus 205?\nAnswer: -3653.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q - 90. Let f(a) = 6*a + 2. Let h(g) = 37*g + 12. Let b(c) = -6*f(c) + h(c). Determine b(v(r)).\nAnswer: -3*r - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1687312450?\nAnswer: 2, 5, 2819, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-20) + ((-12)\/(-10))\/(-3). Suppose 0 = -v - 2*k - 6, z = v + 3*k - 6*k + 6. What is the units digit of ((-34)\/v + -1)\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/20*(-2 - 0). Let d = 137\/44 - 26\/11. Which is the closest to d? (a) 0.3 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**5 + 2*r**4 + 7*r**3 + 17*r**2 + 1. Let y(c) = 2*c**5 - 3*c**3 + 2*c. Let z(m) = i(m) - 4*y(m). Find the third derivative of z(j) wrt j.\nAnswer: 240*j**2 + 48*j + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q - 7. Let t(k) = 22*k - 2. Let u(z) = 10*z. Let v(w) = -2*t(w) + 5*u(w). Let c(g) = -4*j(g) - 7*v(g). Let a(f) = 7*f**2. Give a(c(s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 36. Let f = 0.2 - 1.2. What is the biggest value in f, 1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 16 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7063.\nAnswer: 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00091762 rounded to five dps?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*q**2*u - q - 20*u - 10 with respect to q.\nAnswer: 102*q*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/300 - 7*d**4\/60 - 49*d**3\/30 - 24*d**2. Factor m(u).\nAnswer: -(u + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 917*j**4 + 17994*j**3 - 47466*j**2 - 876987*j + 4577391.\nAnswer: (j - 897)*(j - 9)**3*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2587 and 242047.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -88\nAnswer: 5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8549142491.\nAnswer: 8549142491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 11 = -85 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**4 + 688*l**3 - 16974*l**2 + 26852*l - 10560 = 0. Calculate l.\nAnswer: 2\/3, 1, 33, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-5 - (-10 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x - 25*x = 120. List the prime factors of -4*((1 - x) + -49).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170131.777 rounded to the nearest ten thousand?\nAnswer: 3170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103740 - 653?\nAnswer: 103065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11) + 0 + 5 + (sqrt(176) - (-1 + sqrt(176))*2))**2.\nAnswer: -28*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/60 + h**4\/2 - 11*h**3\/6 + 23*h**2. Let z be p(-13). Solve -2*c - z*c - k + 14 = 0, -10 = -5*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 880676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-5)\/(sqrt(36)\/sqrt(6)*1))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2691.92515 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d + 20. Let s(t) = -4*t - 28. Let u(y) = y**2 + 9*y - 18. Let p be u(-10). Let b be s(p). Solve b*l + 0 = -d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88417237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 89. Let p = k + 54. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -44843*i + 16591919. Determine v(370).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + u + 3*u)*(0 - 5 + 2)*(4*u**4 - 2*u**4 - u**4).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3820 a factor of 4188446880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**5 + q**5 - 3*q**5)*((4 + 5 - 6)*(3 + 5 - 3) + 4 + 2 - 5 + (-3 - 5 + 4)*(-3 + 4 - 3)).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6131 and 44289.927.\nAnswer: 38158.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 293 + -290. Suppose 25 = 5*p - 2*o, 3*o + y + 3 = 3*p. Calculate the remainder when 10 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3 = 2*r - 10, 5*y - 1 = -3*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 2*r**2 - 2*r + 14. Calculate b(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 2:16 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17034*b + 8518*b + 8519*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y. Let i(s) = s**2 + 2*s**2 - 5*s**2 + 0*s**2. What is i(r(j))?\nAnswer: -200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/(2\/4). Let d(k) = -12*k**3 + 9*k**2 + 18*k - 7. Let r(o) = o**3 - 2*o**2 - 4*o + 2. Let z(f) = d(f) + 4*r(f). Give z(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 + 2*b**4\/3 - 7*b**3\/6 - b. Let j be f(7). Let u = 2 + j. Solve 5*h - 25 = 0, -4*c = 2*h + u*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 327481109 from 47.9.\nAnswer: -327481061.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002220709 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -4, 4, 2, -16, -56, -124?\n\"Answer: -y**3 + 4*y**2 + 7*y - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + ((12 - 28) + -29 - -23).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 532*t**3 - 5952*t**2 - 17424*t.\nAnswer: -4*t*(t + 6)**2*(t + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h + 56. Let m = 14 - h. Let x = m - 24. Sort 3, 2, x.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 0)\/((-8)\/(-120)). What is the greatest common factor of p and 495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -89, 0 in ascending order.\nAnswer: -89, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 245*p**4 - 108557435*p**3 - 1240690060*p**2 + 735551220*p - 106344720 = 0.\nAnswer: -12, 2\/7, 443103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.192.\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/15699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -125636001?\nAnswer: 125636002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8866)\/11)\/(-13)*(-6)\/36*-6?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132438693?\nAnswer: 3, 44146231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d + 23. Let s be v(-2). Suppose 4*z + s*g = 41443, 20*g = -2*z + 16*g + 20726. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 - -205. Suppose -v*u + 529 = -1021. Suppose 5*a - 40 - 45 = 0. What is the remainder when u is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose -3*z - 8420031 - 7779969 = u. Round z to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 511748379*x**3 + 661*x**2 - 200192.\nAnswer: 3070490274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-135)\/450 - 44\/(-10) and -111\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 2*o - 24, 9 = -3*o - 3*t. Suppose 2*p - 8 = -o*x - p, p = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-111545)\/(-15) - (-285)\/171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-6)\/8)*3. Let h be (-94)\/18 + (-28)\/((-84)\/15). Which is the closest to 1\/3? (a) 0.4 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:05 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 6*y + 12*y - 140*y**3.\nAnswer: -140*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, k: 2}. What is prob of picking 1 v and 1 k?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90399\/122 - -741. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 0*o + 4026 = 0. Calculate the remainder when o is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from {u: 9, y: 2, p: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, 0.69 in decreasing order.\nAnswer: 1, 0.69, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**5\/8 + 297*y**4\/8 + 5265*y**3\/8 + 28875*y**2\/8 + 25875*y\/4 = 0.\nAnswer: -6, -5, 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.358714 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20287, 20288, 20289, 20290, 20291?\n\"Answer: c + 20286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 13*q - 9. Let r be x(5). What is the units digit of 3\/r - (-995)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/2)\/(-4) - (-48)\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19 = 9. Suppose -v*n + d = -n + 9, -3*n + 12 = 3*d. What is the tens digit of 30*(8 + 0*n\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 61. Let y be u(-21). Let h = -251 + 2257\/9. Let x = 0.0612 + 4.9388. Put x, y, h, -0.2 in decreasing order.\nAnswer: x, -0.2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 35*j**2 + 49*j - 5. Let a be d(16). What is the greatest common factor of a and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1*((-380)\/(-7) - (-6)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 14. Let s = n - 5. What is the second biggest value in s, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 8*v**2 - 5*v + 8. Give a(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -64*w - 671. Let j be g(-23). Solve -8*l - j = -825 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2394 times -11.769\nAnswer: 28174.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 452, 453, 454?\n\"Answer: n + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-864)\/(-4)*6\/9. Let n(u) = 4*u**3 + 32*u**2 + 13*u + 3. Let s be n(-7). What is the greatest common divisor of t and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -86. Solve o*f = 2 - 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25608*m**3 + 54*m - 24*m - 30*m.\nAnswer: 25608*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88.9 - -88.7. Which is the nearest to h? (a) 131\/3 (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(225) + sqrt(21))\/((-2*sqrt(56))\/sqrt(8)) - (sqrt(252)\/(-3*sqrt(7)))\/sqrt(1728).\nAnswer: -103*sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -8204894\nAnswer: -9845872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5375 is divided by 10\/60 + (3729\/18)\/11?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 368011?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -429 + 428.859. Let q = g + 0.441. Let m be (2\/8)\/(2\/(-4)). Which is the second biggest value? (a) -0.3 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 166589, 166768, 166961, 167174, 167413, 167684?\n\"Answer: f**3 + f**2 + 169*f + 166418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11124, 11121, 11118, 11115?\n\"Answer: -3*r + 11127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 13*c - 1. Let g be b(-13). Put 2, 0, g in decreasing order.\nAnswer: 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 1290?\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-236)\/20 - 1\/5. Let v be 2\/h + (-13)\/(-6). Suppose -v*j - j = -72. Calculate the greatest common factor of 72 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 p when three letters picked without replacement from {m: 8, f: 1, p: 1, g: 1, k: 1, v: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/(-49))\/((-1)\/(-7)). Suppose h + 20 = m*h. Suppose -2 = x, -5 = -h*p - 2*x - 1. Solve -y + k = y + 1, y - p*k = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80383596 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 6*y**2 - y. Suppose -4*n + 6*n - 12 = 0. Suppose n + 9 = 5*p. Let j be h(p). Calculate the highest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + a - a**2 + 2 + 2 + 0*a**2. Let f be k(0). Suppose -3*p + 1405 = w - 7*p, 2*w - 2774 = -f*p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 712 and 121918252?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p + 888 = 57*p. Let t be 8*3\/72*p. What is the highest common factor of t and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 15769*m + 47303. Give g(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -655\/22 + 388\/11. Let t(n) be the second derivative of 0*n**3 - 11\/6*n**4 - 7*n + 0 + h*n**2. Find the first derivative of t(u) wrt u.\nAnswer: -44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -336265066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399132 = 10339*w + 2858*w - 1322922 for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -181, -246, -313, -382, -453?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/36307 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16744 by -2392.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845603619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20350 is divided by 4575?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 97269610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5322.303 micrometers to nanometers.\nAnswer: 5322303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*t + 10, 4*t - 1 = -4*w + 7. Solve -p = x - 2, x = -2*p - w*p + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5660\/1698)\/((-4)\/102).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/4*(1 + 198\/42) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-11)\/(55660\/1914) + 68\/170).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/228061?\nAnswer: 7\/228061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:30 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 65. Suppose 0 = -34*s + 45*s - 1001. What is the greatest common factor of t and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 2*i**2 - 3*i**2)*((4 - 1 + 0)*(i + 0*i - 2*i) + 2*i + 0 + 0).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r**(-13))\/(r*r*(r*r**0)\/r*r\/(r**(-14)*r*r)) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -96 + -1?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 416?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.65156 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six ninths of a hour in seconds?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 + 2*m - 7. Let l(f) = f**2 + 4*f - 1. Let i be l(-7). Suppose -3*j - d = d + i, -4*d - 28 = 4*j. List the prime factors of y(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 7, h: 4}. Give prob of sequence hyzy.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*g - 0 - 144, 0 = 4*b + 3*g - 316. Calculate the smallest common multiple of 304 and b.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 22. Solve -c + x = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-3 + (3 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 748275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1062*l**4*x + 2*l**4 - l**2*t - 4*l*t*x + 2*l*t + 49*t + 9*x wrt l.\nAnswer: 12744*l**2*x + 24*l**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 974272, 1948550, 2922828, 3897106?\n\"Answer: 974278*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 and 8\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i**2 + 1 + (i + 3 - 3)*(-i - 2*i + 2*i))*(2*i**2 + 0*i**2 + 337 - 2*i - 336).\nAnswer: 2*i**4 - 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -20.569 < -677\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 2 (c) 29 (d) 0.152 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m**4*m*m)\/m))\/m*m**(-6\/11)\/m)**25)**(-31\/3) assuming m is positive.\nAnswer: m**(64325\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 222105109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*n**2 + 2)*(203 - 3701 - 244).\nAnswer: 7484*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4556 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 3870?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-1)\/(-2)*-4. Let k = 12 - v. Solve l = 3*s - 7, k*l - s - 21 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/15))**(-30) assuming l is positive.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -58388\/7 (b) 1.8 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**3*x - 63*c*x**3 - 262*x**3 wrt c?\nAnswer: -6*c**2*x - 63*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 117*u**2 + 6369*u\/4 - 2951\/2.\nAnswer: (u - 454)*(u - 13)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/30)\/(-1)*(-216)\/(-24).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 17 - 6)*(2*y - 5*y + 2*y)*(-2*y - y**2 + 2*y).\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8300006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -9*b + 8*b. Let k(v) = v**3 + 5*v**2 - 8*v - 7. Let r be k(-6). Let t = b - r. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -564 - -1691\/3. Suppose -2*c = -6*c + 24. Let u = c + -4. What is the closest to w in u, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4\/3 + 19*z**3\/3 - 253*z**2 + 363*z + 3510 = 0.\nAnswer: -39, -3, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22214 - -22216. Solve 0 + 48*h**3 - 8\/3*h + 32\/3*h**5 + 44\/3*h**b + 124\/3*h**4 = 0.\nAnswer: -2, -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*j + 53. Let g(c) = -j - 12 + 0*c + 0*c - c. What is g(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 6*j**2 - 7*j. Suppose -5*p + 79 = 4*z, 4*p + 5*z - 2*z - 64 = 0. Calculate the remainder when p is divided by r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26589?\nAnswer: 3, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4488678*i**6 - 5*i**4 + 2*i**3 + 548884933*i**2?\nAnswer: 538641360*i**3 - 120*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by ((-4104)\/190)\/(6\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 824118317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 21*p + 28. Let o be r(7). What is the highest common factor of 1113 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + -5037282?\nAnswer: -5037320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:50 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/5 - 172*b**4 + 35784*b**3\/5 - 88396*b**2 + 2083382*b\/5 - 633864 = 0. What is b?\nAnswer: 3, 7, 28, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -461657\/324137 + 2\/88401. Calculate the common denominator of m and -58\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**15*a)\/((a\/a**(-8))\/a))\/(a*a\/(a**(1\/23)*a)*a**13) assuming a is positive.\nAnswer: a**(-137\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.7 + 8. Let q be (4\/(-6))\/((-21)\/9). Which is the nearest to 0.2? (a) q (b) m (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8391.706 litres in millilitres?\nAnswer: 8391706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -13. Let r be 0 - (-2 - -1 - v). Find the third derivative of q**6 + q**6 + q**r - 2*q**2 wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -3.3 (c) -3\/2 (d) 0 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2226\/11 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-2*-1)\/((sqrt(27) - sqrt(3))*4 + sqrt(48) + -2*sqrt(48)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5899822, -11799647, -17699472?\nAnswer: -23599297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 2195652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/(-1)*18\/36.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - -1) + 7 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -644272\/25 + 25771. Put k, -4, -0.7, 1 in decreasing order.\nAnswer: 1, k, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26782 - -26790. Which is the nearest to 5\/2? (a) 8.5 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c - 11*c + 15*c as t + m*c and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19415308 is divided by 2433.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**7\/1260 - i**6\/180 - 5*i**4\/4 - 31*i**2. Let g(o) be the second derivative of u(o). Let y(b) = -b. What is y(g(z))?\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0 + 0*i**3 + 3*i + 1\/60*i**5 + 0*i**4 + 0*i**2. Factor w(m).\nAnswer: m**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887\/4 > 721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 335522 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12595, 25307, 38019, 50731, 63443, 76155?\n\"Answer: 12712*p - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 - -103. Which is the third smallest value? (a) -4\/5 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 9*o + 7. Determine p(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 8?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -5 - -6 - (5 + (-4 - (-13 + -3)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 89*n + 75. What is u(4)?\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2608537?\nAnswer: 37, 70501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {u: 5, a: 9, n: 4, h: 1, g: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slvs when four letters picked without replacement from slsvv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46398 * -3\nAnswer: -139194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**5\/20 - 2*s**4\/3 - 5*s**2 - s. Let z be j(8). Let k = z - -28. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/25)\/(1\/((-45)\/9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963428.9kg to micrograms.\nAnswer: 963428900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - (-46)\/(-14). Let f(b) = b + 11. Let q be f(-6). Sort 4, p, q.\nAnswer: p, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4275 and 9675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 242582 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3*j - 5)*(5 + j + 0*j - 4) to the form f*j + w*j**2 + d and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 75*i**2 + 80*i.\nAnswer: -5*i*(i - 16)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35035 - -1\nAnswer: 35036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*3 - (-285)\/(-19)*(-3946)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -4*j - 13, 0 = -2*j + 5*q - 29. Let a = 111\/5 + -792\/35. Let y be (2 - -6 - 6)*1\/(-10). What is the biggest value in j, 1\/6, a, y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*3\/12*-2. Let k(l) = 19*l**3 - l**2 - l + 1. Let j be k(q). Let t = -47 - -119. Calculate the highest common divisor of t and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 17, h: 2}. Give prob of picking 2 h and 1 l.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0*y + y - 3 = 0, -y - 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*r + 4*r - 3*r - 3*r + (-2 + 2 + 1)*(2 - 2 + r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 39. Let n be i(22). Let b = 417 + -414. Solve 0 = b*j + 2*y - 0 - 3, 2*j + n*y - 13 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-4) - (-3)\/(-12))*20. Suppose g = 2*f + n, -f = 4*n - 11 - 4. Calculate the greatest common factor of 12 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4824, 4001, 2644, 765, -1624, -4511?\n\"Answer: 2*c**3 - 279*c**2 + 5101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6817 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 10, 255 in decreasing order.\nAnswer: 255, 10, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2402, 2404, 2406?\nAnswer: 2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/7, -2\/7, -1.51, 0.07, -63?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155578913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y**3 + 172*y**2 - 15*y - 16. Calculate h(19).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8403694 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: List the prime factors of 60545574.\nAnswer: 2, 3, 3363643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7148295 and 378?\nAnswer: 42889770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 103 = 2*u, 487 = 5*k + 4*u - 22. Suppose 534 = k*j - 98*j. What are the prime factors of j?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2 - 1. Let x(a) = 3*a + 49 - 58 - 53 + 2*a + 63. Give x(l(o)).\nAnswer: -10*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/15)\/((1368\/665)\/(-18)))\/(-1)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - 49*p - 18. Calculate u(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -86. Let o be (0 - 11\/s) + 22\/(-44). Solve -3*d = -o*v - 11, 0*v + 5*v = -2*d - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*s**2 + 85*s + 1.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.3 - 0.3. Let w = -11 + x. Which is the third smallest value? (a) w (b) 0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4601748 centuries to millennia.\nAnswer: 0.04601748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -303, -279, -255?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97400 is divided by 3041.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -86*r**2 - 7*r + 2. Let h be x(-5). Let m = -287 + h. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*-15*(-8)\/180.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 393\/(-524)*(0 + -1)*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*q**3 + 11*q**2 - 98*q**3 + 1 - 6*q - 96*q**3 - 8 - q**4 to the form y + a*q + p*q**4 + d*q**2 + o*q**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 264 = -11*c. Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297 and 6986727?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, -4, 4, -20, 886 in descending order.\nAnswer: 886, 19, 4, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50350 and 32946.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -51. Suppose 2*p + 438 = 3*h - 0*p, -3*h = a*p - 453. Suppose 118 = 7*j - h. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -1\/12*g**2 - 5 - 1\/4*g**4 - 2\/9*g**3 - 1\/36*g**6 - 2\/15*g**5 + 0*g. Factor v(o).\nAnswer: -o*(o + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8354855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**3\/3 + 3*t**2\/2 - t. Let d(z) = z**3 - 8*z**2 - 30*z - 25. Let b be d(-2). What is x(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-555)\/10101*(-1)\/(-3)*-39?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3)*j*j)\/j**(-1\/6))**(-4\/27))**(-11\/8) assuming j is positive.\nAnswer: j**(11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44, -89, -134?\n\"Answer: -45*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*h**3*n**3 - 1043*h**3*n**2 - 51*h**2*n + 133*h*n**3 + h*n - n wrt h.\nAnswer: -90*n**3 - 6258*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 4*f**2 + 4*f + 3. Let i be t(-3). Suppose -2*s - 11 = 3*x + 2*x, -s + 2*x + 8 = i. Solve -a = -s*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -1942*m + 1936*m + 14, -5*m = 2*z - 9 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1625 and 325.\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2155 = -4*f + 17111. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o + 7. Let k be c(4). Let h(p) = -k + 8*p + 47. Let r(x) = -2*x. Determine r(h(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7169, 14398, 21627, 28856, 36085?\n\"Answer: 7229*x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 575 = -235. Solve 0 = -o*v + 46 - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*j + 269*j - 18 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = 4*t + 915. Suppose 8*b - 215 - 1985 = 0. Let g = t + b. List the prime factors of g.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23709*i**3*o**2 - 3*i**3*o + 720*i**3 - 23*i**2*o**2 - 3*i**2 - 44*i*o**2 - 165*o wrt i.\nAnswer: 142254*o**2 - 18*o + 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/76 and -67\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -0.04 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48251195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.2 and -80737351.\nAnswer: -80737349.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = 4*j + 20, 0 = 5*k - 3*j - 15. Suppose 6 = 3*n - k. Suppose -3*s = -n*s - 259. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(242)*2))\/(sqrt(44)\/(sqrt(4) + 2*sqrt(324))).\nAnswer: 19*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 338*g - 19339. What is f(-73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -154*m - 76. Let r be v(11). Let o = -875 - r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-35))\/(2\/8). What is the fourth biggest value in 0.5, -4, -1\/7, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2844*r + 5914 = -32658 - 12620 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 5, v: 1, c: 2, u: 2, q: 4}. What is prob of picking 1 u, 1 h, and 1 c?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3984865.\nAnswer: 5, 23, 34651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*z - 134314 + 288010 = -1017426. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, b: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (294\/24)\/(2\/(-8)). Let d = v - -148. What are the prime factors of (d\/(-44))\/((-1)\/84)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 + 3 = q, 5*q - 2*k = -6. Suppose -h - 4*h = -3*c - 1890, q = -4*c. Calculate the greatest common divisor of h and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/29)*c)\/c**24)\/((c*c**(-3\/31)*c)\/c**26) assuming c is positive.\nAnswer: c**(1978\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45257 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 3*c - 3. Let o be a(2). Solve 0*q - 3*q = o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 607810 and 95970.\nAnswer: 1823430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29 + -32)*(1070\/120 + -9). Let d = -0.33 + -0.07. Sort -0.7, d, s, 18.\nAnswer: -0.7, d, s, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/((-1)\/10). Suppose 0*n = m*n - 4*r - 36, -4 = 4*n + 4*r. Solve 4*k - 5*y = 8, 4*k - 4 = -0*k + n*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33565 is divided by 16758.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -380.\nAnswer: 41\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1030480 and 335060?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -112, -70, 3\/5, 1, -6\/25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c (base 16) to base 4.\nAnswer: -10230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270255 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4 + 1 + -3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 808, 817, 832, 853, 880, 913, 952?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1. Let o(j) = 1. Let a(t) = -5*o(t) - 6*z(t). Let r(f) = 4*f**3 - 7. Let v(n) = 3*a(n) + r(n). Find the first derivative of v(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 640, 4, -15033, -2, 2 in increasing order.\nAnswer: -15033, -2, 2, 4, 640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s - 6. Let x be i(4). Let q = -19 + x. Suppose 19 = 3*m + 2*v, 7 = 3*m + 5*v - 0. Solve q = 3*o + m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 + 13 = z. Let o = 97 + z. Suppose 4*g = -o - 29. What is g rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 73, 118, 167, 220?\n\"Answer: 2*k**2 + 35*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 - 112 = -4*i, 0 = 4*i + 3*s - 90. Let p be (-9)\/(27\/i)*46\/(-4). Let f = 95 - p. Solve f*o + 10 = o, -4*t + 3*o + 23 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n**2 + 45*n - 31. Let g(u) = -6*u**2 - 15*u + 10. Let v(a) = 11*g(a) + 4*w(a). What is the remainder when 19 is divided by v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 53 = -5*t, 0*t - 2*t + 235 = -114*h + 79*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35743560 a multiple of 1285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5906\/33 + -1976\/11. Let i = 1 - 1. Put -15, i, c in decreasing order.\nAnswer: i, c, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -561663 (base 10) to base 13.\nAnswer: -16885b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69280137 is divided by 4173.\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q - 25*q + 4*q + 10*q. Let i(g) = -3*g**2. Determine i(j(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -7*7719\/(-581)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:41 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 15. Calculate x(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Let g*b**3 - b**3 - 15*b**2 + 2*b**3 - 20*b = 0. Calculate b.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6270 = 153*x - 15457 - 16370. What is the highest common divisor of 49551 and x?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59180 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8719998 + (-76)\/(-36) + (-2)\/18. Suppose -313*h + z = -317*h. Round h to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 34*f**2 - 9*f - 11. Let r(k) = 17*k**2 - 4*k - 4. Determine 4*h(t) - 9*r(t).\nAnswer: -17*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 726 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(2\/11))\/w)*w**(3\/2))**(9\/8)*w*w*w*w**1*w*w**(-2)*w*w*(w**(-2\/3)\/w)\/w*((w\/w**2)\/w)\/w assuming w is positive.\nAnswer: w**(1241\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 21. Let m be z(-10). Solve 5*h + 6 = m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j - 29*j + 5 + 45*j - 20*j. Let n(s) = 13*s - 6. Give -5*a(o) - 4*n(o).\nAnswer: 13*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5607452903 plus 2.8?\nAnswer: 5607452905.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23527432?\nAnswer: 2, 109, 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*3*4*(-5 + sqrt(1700) + ((sqrt(1700)*-1 - sqrt(1700) - sqrt(1700))*1 - sqrt(1700)) + sqrt(1700) + -1 + 5))**2*3.\nAnswer: 396000*sqrt(17) + 73449075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)\/w*w)**(-1\/13)\/(w*w\/w**(1\/3))**(6\/5) assuming w is positive.\nAnswer: w**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/9 + 95344712*o\/9 - 95344700\/3.\nAnswer: -4*(o - 23836175)*(o - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 + 6*u + 23. Suppose 3*z - 6 = -0. Let m(j) = -21*j**2 - 30*j - 115. Let q(s) = z*m(s) + 11*l(s). Find the first derivative of q(a) wrt a.\nAnswer: 4*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0329805 + 0.0332. What is c rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 24370 = 5*n, 0*n - b - 14605 = 3*n. Round n to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ef9a - -5?\nAnswer: -2ef95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 273, 818, 1787, 3294, 5453?\n\"Answer: 19*w**3 + 41*w**2 - 21*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanan. What is prob of sequence an?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*d*y**2 + 2402705*d - 98135*y**3 wrt y.\nAnswer: 42*d*y - 294405*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33835252*h - 33835256*h + 5*k - 37, -2*h + 7*k - 23 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3 + 2 - 3 + 0 + 4 - 1 - 4 + (5 - 5 - 1)*(3 - 2 - 2) + 1 + 0 - 3)*(-5*d + 5*d - d**2).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -136 times -1.97\nAnswer: 267.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 795845400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48)\/20*64580\/(-8).\nAnswer: 2, 3, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 + 19396*l**3 - 141076806*l**2.\nAnswer: -2*l**2*(l - 14547)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:05 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 0. Suppose 5*d - 3*x = 12 + 20, 2*d = x + p. Suppose -i + 2*j + 33 = 0, -i = d*i + j - 220. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 7. Suppose 2*y - 16 = -4*q, 2*y + 2 = -q + n. Suppose 4*t - 5*k = 30 - 10, 0 = 5*t - q*k - 25. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 13 - 10. Solve -o - 2 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*o - 2 + (4*o + o - 6*o)*(5 - 12 - 6))*(-3 - 2 + 2).\nAnswer: -45*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/163 (b) 0 (c) 0.2 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15037*k**4 - 569*k**3 + 5984209 wrt k?\nAnswer: -60148*k**3 - 1707*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 113*j**2 + 74*j + 968. What is t(-57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33170 * 0.222.\nAnswer: 7363.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 4*y)*((0*y + 2*y - y)*(1 - 3 + 0) - 153*y - 15*y + 3*y).\nAnswer: -668*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + 5 + (sqrt(539) - (sqrt(539) - (sqrt(539) + 1)) - (1 + sqrt(11) + 2))))**2.\nAnswer: -600*sqrt(11) + 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 4*j + 3. Let a be u(2). Suppose 0 = -4*y + 17 + a. Suppose -i - 32 = -y*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 13. Is (10\/a)\/(5\/175) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 2, h: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 11*a**2 - 70*a - 22. Let x be w(18). Suppose 4*r + x - 16318 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:46 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 18, l: 1}. Give prob of sequence luu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.7 (b) 13 (c) 1\/6 (d) 4 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -100. Let b = i + 5. What is the hundreds digit of 36\/(-48)*(0 + b + -317)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43649443 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from lzzrllrzrrrlrrrrrzr.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 4*o - n - 12, 16*o = 16*o + 4*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 3\/4, -2, 6\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27424 - 9767. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-226))\/(38\/(-152) - (-90)\/8). Is f at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -70\/61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c5a6 (base 15) to base 8.\nAnswer: 1550475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -8, -1, 0, 9 in ascending order.\nAnswer: -8, -1, 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/4 and -99\/57280.\nAnswer: 57280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -42784.197 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*i + 3)*(1 - 34 - 16*i**2 + 9*i**2)*(-3 + 9 - 2) + (1 + 0 - 2)*(i**2 + 0*i + 0*i)*(-2*i - 1 + 1).\nAnswer: 58*i**3 + 264*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29290946717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/6 - 5*g**2\/2 + g. Let c be t(-6). Let v(i) = 0*i + 2*i + i + c. What is v(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmqffqfmxfmmmfmfm. What is prob of sequence mq?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 7. Let n(z) = -18*z - 20. Let j(l) = 6*n(l) - 17*o(l). Let c be j(-1). Let a = -3 + c. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.4 (c) 2\/27 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4703, -18806, -42311, -75218?\n\"Answer: -4701*w**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2 - 2)*(-l**3 + 4*l**3 - 2*l**3) + (0*l + 11*l - 3*l)*(244*l**3 + 139*l**3 - 1121*l**3).\nAnswer: -5905*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-630)\/(-189)*3\/5. What is the second biggest value in b, -5, 1\/50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4655, -5002, -5971, -7874, -11023, -15730, -22307, -31066?\nAnswer: -42319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111883?\nAnswer: 53, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 23 = -3. Suppose -3*t + 5*m = 3*m - 34, -4*m = r*t - 12. Calculate the greatest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 3*x**2 - x**2)*((-4 - 1 + 4)*(5*x**3 - 4*x**3 - 2*x**3) + 0*x**2 + 0*x**2 + 9*x**3).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((14\/(-6) - -1) + 1)*-6. Suppose -n*t - 17 + 39 = 0. What is the least common multiple of 193 and t?\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = 5*i. Solve 88*q**2 + 105*q - 161*q**2 + 78*q**i + 190 = 0.\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -446 + 457. Let l = 27 - 16. Let a = y - l. Is 2\/35 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1285*v**4 - 75340*v**3 + 780720*v**2 - 2958400*v + 3834880 = 0. Calculate v.\nAnswer: 4, 11984\/257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 10*z + 10. Let s be a(8). Let r = s + -57. Suppose -p = -5*p - 24. Sort 5, p, r in increasing order.\nAnswer: p, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**3 - 4 + 0 + 3*x + 0. Let m be a(3). List the prime factors of (-3)\/12 + m\/(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 263, 248, 243, 254, 287, 348, 443, 578?\n\"Answer: q**3 - q**2 - 19*q + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04391 + 187.32791. Let j = h + -2.984. Let z = 174 - j. Round z to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.52 + 91.48. Let h = 39 - b. Let x = 52.951 + h. What is x rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -22*x + 25*x + 4*q, 8*x - 3*q = -39 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560321, -560301, -560265, -560213, -560145, -560061, -559961?\nAnswer: -559845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-3)\/(9\/(-6)). Let d(u) = -2*u**g + u - 4*u - u - u**3 - 3. Let h be d(-2). Solve -2*m = -y + 6, -5*y - h*m - 30 = -0*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4\/9 + 3200*m**3\/9 + 7336*m**2 + 459424*m\/9 + 1068788\/9 = 0.\nAnswer: -779, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1794 divide 9213984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, -97648 in decreasing order.\nAnswer: 4, -21, -97648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1136, -4378, -9734, -17198, -26764, -38426, -52178?\nAnswer: -68014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -53a (base 12) to base 2\nAnswer: -1011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 144?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 11)\/(-22)*(-4)\/63.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mpmlmlulmlululmump?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/152001 and 127\/30?\nAnswer: 1520010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 2. Let r be d(-3). Let p = 33 + -25. Suppose -p*t = -2*t. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -7*i**3\/2 - 104*i**2 + 49*i. What is the remainder when 320 is divided by m(-13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2564 and -0.0173876.\nAnswer: 2563.9826124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 7*s - 11. Let q be w(-5). Which is smaller: q or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 16. Is r(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*l - 8 = 213*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6493380*g**3 - 35162714*g**2.\nAnswer: -38960280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10*-0.56\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -31. Let y be 0 - 0 - (390\/(-126) + o). Let w = 4 - 3.8. Which is the nearest to w? (a) 5 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 5) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 1 + 3*n**3 - 2 - 428*n**2 + 430*n**2 to the form o*n**3 + u*n + k*n**2 + h*n**4 + j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 - 9*w + 108 - 55 - 55 + (w - 2*w + 2*w)*(2*w**2 - 2*w**2 - w**2) - 9*w**3 - w**3 + 15*w**3 in the form x + q*w + l*w**2 + v*w**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(176))**2 - (sqrt(11) + (sqrt(44) + -3)**2).\nAnswer: 11*sqrt(11) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505062.3 kilometers in nanometers?\nAnswer: 505062300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411480*a**2 - 137161*a**2 - 137157*a**2 - 137160*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(20\/(-5) - -3). Let y(z) be the third derivative of 1\/20*z**5 + 0 + x*z - 2*z**2 + 0*z**3 + 1\/24*z**4. Find the second derivative of y(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/12 + 2\/(-8) + 1. What is the derivative of -7 - 3*m**3 + 2 - 4*m**l - 4*m**3 wrt m?\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 98 - 8. Suppose 13 = -4*y + m. Suppose 4*j - 18 = -d, -2*j = -3 - 3. Calculate the least common multiple of d and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -677*u + 586*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 174*(6 - 60\/9). Let v be (r\/6)\/((-4)\/(-6)). Are -29 and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2. Let w(s) = 32802*s. Calculate w(y(z)).\nAnswer: -65604*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:07 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/k)\/(k**(-2\/17)\/k*k))**21\/((k**0)**3\/(k**(1\/5))**41) assuming k is positive.\nAnswer: k**(-4448\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2292 is divided by 498.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - 1. Let l(u) = 0*u**2 + 6 - 4*u - 2 + q*u - u**2. Let a(t) = 3*t**2 + 5*t - 11. Determine 4*a(p) + 11*l(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 60 = -3*j + 8*j, -2*j - 18 = -4*y. What is the greatest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 3*t**2 - t - 6. Let u be y(-4). Let b be 1\/((2\/180)\/((-12)\/u)). What is the highest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1683*u**2 - 1877*u**2 - 10548*u**2 - 499*u + 221*u - 4158*u wrt u.\nAnswer: -21484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -42*m**2. Let z(d) = 8*d**2 + 24*d + 24. Let c(v) = 3*v**2 + 10*v + 10. Let w(t) = 12*c(t) - 5*z(t). Determine h(w(j)).\nAnswer: -672*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1493a - -303?\nAnswer: -14637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 7 = m, 0*m - 3*s = 4*m - 13. Suppose l - 8 = -m*y + 2*y, 0 = l - 5*y + 13. Suppose -2*v - 2*x = -0*x - 4, -x = l. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5 + 3*o - 2*o - 4 - o**3. Let d be z(-1). Let m(l) = 3*l**2 + 8*l - 7. Let n(p) = 3*p**2 + 7*p - 6. Let t(u) = -5*m(u) + 6*n(u). Give t(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.11 (b) 0.1 (c) -0.11042 (d) 0.24 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/20 + o**4 + 5*o**3\/6 - 7*o**2\/2 - 3*o. Is l(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77227501 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -774 - -708. Which is smaller: o or -472\/7?\nAnswer: -472\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685066973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1532*o - 2232*o - 1458*o = 339430 for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -1, -2\/7, -3\/4, 18, 0.1 in decreasing order.\nAnswer: 18, 5\/6, 0.1, -2\/7, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 8202250?\nAnswer: 8202166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 0 - 5\/3*v**3 + v + 0*v**2. Let b(l) = l. What is b(d(q))?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -44 (b) -3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from {y: 2, t: 7, l: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 3 + (-6349 - -6148).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -146*m**3 + 146*m**3 + 5*m**2 - 2*m**4 - 3*m**4 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c**3 - 5 - 2*c**2 + 16*c**3 + 0 - 8*c**2. Let n be o(12). Suppose -2*z - 89 = -n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 11, m: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6578430231 + 40.\nAnswer: -6578430191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 47, 85, 127, 173?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-9)\/(2 - 3). Let q = 497 + -489. Suppose 4*c + 20 = -5*u, 4*c - 2*u = -0*u + q. Solve c = -3*i - 0 - f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2951*h + 926788. Determine w(314).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/64*4*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 280499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 at least 337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-1*-4*-6)\/(((2*sqrt(72))\/sqrt(3) + sqrt(24))\/sqrt(12)) + 0 + 2.\nAnswer: -16*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25629 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z. Let u(t) = -2877*t. Give 548*b(l) - u(l).\nAnswer: -411*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023 (base 4) to base 16.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-14)\/(-12)) - (3 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -82*g**3 + 14*g**2 + 11*g + 49. Is w(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -242 - 19338*p + 11*p**2 + 572 - 2*p**4 + 19339*p as f*p**4 + g*p**3 + u*p**2 + a + s*p and give a.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -17*n**5\/60 - n**4\/8 - 1185*n**2. Let x(r) = r. Give x(f(j)).\nAnswer: -17*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = -r - 3*r, -o - 3*r = -16. Suppose 48 = 2*i - 4*c, -2*c = o*i - 5*c - 101. 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 = 0.04 - 0.1. Let k be ((-54)\/(-1134))\/((-12)\/(-56)). Sort -1\/5, k, n in ascending order.\nAnswer: -1\/5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.134885 - -7.095. Round b to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.65 to zero decimal places.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*l**4 + 1\/2*l**2 + l**3 - l - 3\/4.\nAnswer: (l - 1)*(l + 1)**2*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -215*u**5\/3 - 301*u**4\/24 + 301*u**3\/6 - 819*u**2. Let m(j) = 43*j**2 + 3*j - 3. Determine -301*m(t) - 3*n(t).\nAnswer: -43*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by -62.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255463*d + 8 - 8 + 510925*d - 255469*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:09 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1121278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297 greater than 3302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 6*v**4 + 2*v**4 + (-2*v**2 + v**2 + 0*v**2)*(4*v + 2*v**2 - 4*v).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 3, e: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.44, -1\/3, -0.0389.\nAnswer: -1\/3, -0.0389, 13.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 47100d8?\nAnswer: -47100dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.97 - 13.3095. What is p rounded to two dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-36) + 5\/((-45)\/(-56)). Suppose o*t = t + 40. Suppose -2*k - 10*k**3 - k**5 + 0*k**3 - k**5 - 8*k**2 - 2*k**3 - t*k**4 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 1174*f\/3 - 10200.\nAnswer: 2*(f - 25)*(f + 612)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oedeeeeeeeoeeeoee. What is prob of picking 2 e and 1 o?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/120 - 7*i**5\/60 - i**4\/3 - 4*i**3\/3 - 7*i**2. Let p be u(-6). Solve p + 1 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3272)\/26176*(-3)\/((-9)\/(-40))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13283179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.827 - 15.827. What is the nearest to 1\/2 in k, -0.4, -8.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-26) + 396\/39. Let i be (0 - -1)*0\/(g - 1). Solve k - 15 = -3*f + 4*k, -f - 4*k - 5 = i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437608 is divided by 435917.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 428393, 0.1, -3, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24332 (base 5) to base 9\nAnswer: -2466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12642 * -4.\nAnswer: 50568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2065091 is divided by 56?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2655531 - 0.2.\nAnswer: -2655531.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/4 + 87*x**3\/2 - 4033*x**2\/2 + 3608*x. What is the first derivative of h(d) wrt d?\nAnswer: -6*d + 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39532013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.999 and 6825416.51.\nAnswer: 6825419.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232*m + 259*m - 11293 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -77*h + 27953. Give v(363).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/9 and 79\/13517262.\nAnswer: 13517262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8823 - -132341\/15. What is the nearest to -1\/3 in k, -1\/3, 1\/2, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {i: 6, f: 4, z: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0 (c) 0.5 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20336321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 35*c + 2. What is f(1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38, -157, -658, -1621, -3202, -5557?\n\"Answer: -26*s**3 + 3*s**2 - 22*s + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nst when three letters picked without replacement from nttsnssesn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 4. What is the common denominator of 54\/11 and (20\/f)\/(4\/(-75))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-131)\/7)\/(96\/(-7)). Let s = -1\/32 + f. Factor 1\/3*n**2 - s*n + 4\/3.\nAnswer: (n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*q + 34. Let a be (6 + -2)*q\/(-8). Suppose x = a*x - 154. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*y**4 - 1140 + 14*y**2 + y**3 - y**3 + 1139 wrt y.\nAnswer: 3168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.39315155 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + (-4 - -3) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*r**3*u + 150*r**3 + 2*r**2*u - r**2 - 7*r*u + 278*u wrt r.\nAnswer: 450*r*u + 900*r + 4*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 1. Let w(r) = 49*r + 3. Determine w(i(h)).\nAnswer: 98*h**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 o when three letters picked without replacement from llolw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 25 = -9*p + 35 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-6)\/(-4))*9\/27. Let r(l) = -l**2 - 8*l - 5. Let i be r(-7). Let w = i - 2. Is w at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v + 46*v = 238. Solve 3*k - i = -3, 5*k - v*i = 3*i - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 4760*k + 2832200.\nAnswer: 2*(k - 1190)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 128, -11, 301 in descending order.\nAnswer: 301, 128, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 608638169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + -4)\/(1\/113).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072395.\nAnswer: 5, 13, 31883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2 = -3*p, -4*t + 5*p - 2 = -0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 r when three letters picked without replacement from {a: 5, r: 1, g: 8, p: 2, k: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 946 and 22.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(2\/3)\/w)\/w)\/(w**(5\/2)\/w))\/w**(3\/8))\/(w**(-1\/6)\/(w*w\/(w\/w**(1\/8))*w)*(w\/(w*w*w**(-5)*w))\/(w**(-2\/5)\/w)) assuming w is positive.\nAnswer: w**(-319\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -180, -356, -530, -702?\n\"Answer: q**2 - 179*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 42*c - 43*c. Suppose -544 = 8*h - 512. Let a be ((-4)\/(-6))\/(2\/3). Put c, a, h, -1 in decreasing order.\nAnswer: a, -1, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141519 and 7728?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -248940.05 to the nearest one thousand.\nAnswer: -249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67\/4 - 669\/40. Let d be 78\/24 + -3 - (-185186)\/101816. Let y = d + -3\/4628. Calculate the common denominator of y and z.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8298764*t**2 + 11558741 with respect to t.\nAnswer: -16597528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(153) + ((sqrt(153) - 2*sqrt(153)) + sqrt(153))\/sqrt(9) + (sqrt(170)\/(sqrt(10)*2) - sqrt(17)) + (1*(sqrt(17) + -4))**2.\nAnswer: -41*sqrt(17)\/2 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 244 - 9*j - 4*j - 250 - 3*j wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*l - 72*l**3 - 3 + 44*l**3 + 2*l**2 + 1 + 46*l**3 + 35*l in the form u*l**2 + o + w*l + m*l**3 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6783)\/27)\/(-7) - 3390\/(-3051)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/4 - -25\/12. Let n(b) be the second derivative of 3*b + 0 + z*b**2 + 5\/9*b**3 + 2\/9*b**4. Factor n(h).\nAnswer: 2*(h + 1)*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-13\/4)\/(g\/(g*g**(20\/3)*g*g*g)*g)*g**(-27)\/(g*g**30*g) assuming g is positive.\nAnswer: g**(-643\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 > 0.355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310445993 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 4 - 72*c + 42*c - 148*c.\nAnswer: -186*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381755, -381708, -381629, -381518, -381375, -381200?\nAnswer: -380993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 e when four letters picked without replacement from {h: 2, n: 3, e: 12}.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -120*g**2 - 35*g + 56*g**2 - 144 + 47*g**2 - g**3 + 57*g**2. What is y(39)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:08 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n = a - 1, -a = 4*n - 9. Find w, given that -7 + a + w**4 - 3*w + 6 + 3*w**3 - 5*w**2 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39837.\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 1)*(-46 + 33 + 25)*(-2 + 2 - l**2) to the form i*l**2 + c + t*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105*3596\/406)\/(-10)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 52*t + 1824. Determine o(79).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}